N A S A TECHNICAL T R A N S L A T I O N
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TRANSIENT TEMPERATURE FIELDS IN SHELLS
by M. D. Mikhaylov Eviel-grjd Pkss, Moscow, 1967
NATIONAL AERONAUTICS AND SPACE ADMINISTRATION
WASHINGTON, D. C.
JUNE 1 9 6 9
TECH LIBRARY KAFB, NM
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NASA TT &-Ss2
TRANSIENT TEMPERATURE FIELDS I N SHELLS By M. D. Mikhaylov
Translation of "Nestatsionarnyye Temperaturnyye Polya v Obolochkakh" Energiya Press, Moscow, 1967
N A T I O N A L AERONAUTICS AND SPACE ADMINISTRATION For sale
by the Clearinghouse for Federal Scientific and Technical Information Springfield, Virginia 22151 - CFSTI price $3.00
TRANSIENT TEMPERATURE FIELDS I N SHELLS M. D. Mikhaylov ABSTRACT: The monograph discusses the theory of transient one-dimensional heat conduction processes occurring in plane one- and two-layer plates at various boundary conditions on the skin and the heat-resistant coating. Solutions a r e given for transient temperature fields in porous walls cooled by a forced flow of a cooling medium. Formulas for determining thermal s t r e s s e s are also given. Detailed tables of the roots of characteristic equations and initial temperature amplitudes facilitate the use of these equations in practical computation. The solutions may be applied to designing heat shields in aircraft and rockets, or to other branches of engineering. The book i s of interest to a wide range of heat transfer engineers and graduate students. FOREWORD Heat transfer in a solid interacting with its environment can be thoroughly studied and analyzed by means of the theory of heat conduction. The theory was first introduced by Fourier in his classic book [l]. Gigantic strides have been made since, and now the theory deals with one of the most thoroughly studied aspects of mathematical physics.
/3*
Certain processes in contemporary technology involve such intense heat generation as to cause the collapse of strength and hardness of the hollow shell (skin). This can be prevented by devising a suitable method of thermal shielding [2] such a s the application of a heat-resistant coating to the skin, or cooling of its internal surface, known a s porous cooling. This monograph investigates the transient temperature fields encountered in such cases. Formulas a r e given for determining thermal stresses. The problems a r e solved by Laplace transformation. Inversion can be performed in two ways [3, 41. One way is to calculate the integral over a complex plane within the poles of the integrated function. The position of the poles is determined from the roots of the transcendental equation. This method yields the conventional solution in the form of infinite series with exponential terms vanishing in time, which involves cumbersome computations. This is why, unfortunately, these solutions are regarded as inapplicable in engineering practice. This view however, disregards the possibilities of modern computer technology.
'
-
-
-
* Numbers in the margin indicate pagination in the foreign text. --
.
1
The other method of inversion involves the expansion of the integrated function in an exponential series. It requires finding the roots of transcendental equations and leads t o solutions which converge well for small time values, as a matter of fact, they converge the better, the smaller the time.
/4
In this monograph the problems are solved by both methods. The solutions were tabulated by the electronic computer "Minsk-2. r 7 Detailed original tables of the roots of characteristic equations and initial temperature amplitudes a r e attached. In most cases the solutions have also been represented graphically. All this facilitates the carrying out of swift engineering computations. The solutions of all problems a r e given in dimensionless form, best suited to show the intimate relation between different physical processes. Hence the tables can be used also for computing some problems in diffusion and heat and mass transfer, for example, such as cooling of metal castings in sand molds, etc. The author is indebted to Academician (of the Bielorussian Academy of Sciences) A. V.' Lykov for inspiration and .support. He thanks his friends N. Tsacheva-Glushkova and L. K. Glushkov for their help in programming and carrying out the computations. M. D. Mikhaylov
2
SYMBOLS T ( x . 7) - temperature at a point with coordinate
x at time T ; coefficient of thermal diffusivity; 0'Laplace operator; w - absorbed or generated heat per unit time per unit volume; cspecific heat; Ydensity; f - thickness; T,- recovery temperature; T. - recovery temperature for cruising conditions; A - coefficient of thermal conductivity; 9 heat flux; 0 heat transfer coefficient; s Laplace transform parameter; .i= V- I - imaginary number; a-
-
E = x / l - dimensionless coordinate; Bi = al/A - Biot number ;
-
Fo -- as,+
a-
T, T ( x . ). - TO a = T c - Tn e = -T ( x ' 7T*) - T o E
-
= cmrmlm
Ki=
initial temperature; dimensionless temperature; dimensionless temperature for the case where T is a linear r function of time:
-
dimensionless number characterizing the ratio of the heat / 6 storing capacity of the insulation to the heat storing capacity of the metal layer;
- Kirpichev number;
qi
A ( T c -To)
Pd = 6Pja
-
Pd = 61z,'uT,
-
T,r
-
x-
M = u/u*
i?k=
Fourier number; thermal s t r e s s ; coefficient of linear expansion; Young's modulus;
Tr
Tc-T, =dCP/a
G, c.-
-
Predvoditelev number for the case where T is an exponenr tial function of time; Predvoditelev number for the case where T is a linear r function of time; temperature of undisturbed air flow; recovery coefficient; specific heat ratio at constant pressure and volume; Mach number, where v is the velocity of the craft, and a* is the speed of sound;
-
dimensionless number [Eq. (4-8-3)];
-
dimensionless number [Eq. (4-8-3)]; specific mass velocity of incident gas flow; specific heat of gas;
-
3
g= G,c,ljh,
-
dimensionless parameter of coolant mass velocity.
Subscript m refers to the metal layer. Subscript w r e f e r s to the porous material. Subscript c r e f e r s to gas. 1. BASIC EQUATIONS
Convection, conduction and radiation are the basic processes of heat transfer [5]. Purpose of this book is to investigate the convective heat transfer in shells. It is assumed that the heat enters the shell by means of the other two forms of heat transfer. The relation between temperature, time and distance follows from the solution of the differential Fourier equation [3]
In the shells investigated below, the ratio of thickness to the radius of curvature is so small that they can be regarded as plane plates. If thickness of shell is considerably smaller than its other two dimensions, it can be assumed in most cases that the heat flow i s normal to the surface. For uniform heat flow, Eq. (1-1)takes the form
The boundary conditions must be known to determine the temperature field. We shall investigate three different ways of assigning boundary conditions
d T ( f , 2) dX
+a
IT (I,
.>
=0.
The heat transfer coefficient depends. on many factors: the type of cross section in the boundary layer, the velocity, pressure and temperature gradients in the boundary layer and on the surface of the body, etc. Therefore, it i s not a constant; in this book, however, in the first approximation it is taken to be invariable. This is a commonly used device. 2.
THE LAPLACE TRANSFORMATION
The problems studied in this book a r e solved by the integral transformation introduced by Laplace in 1779 [ 6 ] :
4
/7
I
where s=o+iw is a complex quantity. This transformation was successfully used for solving heat conduction equations [3, 41. By using
L I? (91= s7 (4-f (0)s
(2-2)
instead of the differential equation (1-2) in partial derivatives with respect to the original function we get an ordinary second-order differential equation with constant coefficients with respect to the transform. The general solution to this equation has two constants determined from the corresponding boundary conditions. Upon solving the problem by transforms, the inversion is carried out by
/9
It is quite easy to find the original from the transform of the function if it can be found in the tables [7]. A table of transforms used in this book is in the Appendix.
Occasionally the transform f ( s ) can be taken to be the ratio of two polynomials with respect to s. If the denominator has simple roots sn and its degree is higher than that of the numerator, then the original can be found from the expansion theorem n
Lf the root $ ( s ) -s,,, has a multiplicity k, the original of the corresponding term can be found from the formula
The expansion theorem holds even when f (s)is the ratio of transcendental functions CD (s)and ( s ) which can be represented as polynomials of infinitely high degree with respect to s:
+
Qr (s) =6,
+b,s +b$+
9 (s)= a,+
a,s+@+
...; ....
if constant a. equals zero when bo # 0.
5
3. METAL SKIN WITH AN INTERNAL HEAT INSULATING LAYER Modern aircraft fly at speeds several times greater than the speed of sound. Drastic air compression and friction of skin with air release large amounts of heat. The boundary layer is heated to high temperatures, and this generates nonuniform temperature fields and thermal stresses in the skin [8].
/lo
During short flights the thermal insulakion under the skin can protect inner sections from overheating. This means that, roughly speaking, on the boundary layer between skin and insulation the heat flow is fully retarded. Such an approximation facilitates the mathematical solution of the problem since it amounts to solving the problem of symmetrically heated plates. The temperature field of a symmetrically heated plate has been thoroughly investigated by heat conduction theory [3]. The analytical solution determines the plate's dimensionless temperature at a constant temperature of the surrounding medium as a function of the Biot number, the Fourier number and the dimensionless coordinate t. The formula for [ = 0 and 6 = 1 was numerically solved by Grtiber [9, 101 and given in diagrams [lo] in which the Bi values a r e plotted on the abscissa with Fo a parameter. Bachmann [ l l ] continued these computations, and in his diagrams the quantity Bi2Fo is plotted on the abscissa with Bi as a parameter. Heissler [12] computed dimensionless temperature 8 for a wider range of Bi and Fo numbers, and plotted Fo on the abscissa taking Bi as a parameter. Nomograms for determining temperatures on the surface and in the center of aplate were compiled by &&in [13]. Similar graphs for [ = 0.2; 0.4; 0.6; 0.8; 1 are given in [14]. This fundamental problem of unsteady heat conduction was solved recently by an electronic computer. The results are given by Grigull [151, [16]. Thermal s t r e s s e s are determined by using the analytical solution for the temperature field of a symmetrically heated plate. In [8] T and a are taken to
r
be constant. For the case of a plate fastened, which precludes bending, [17] gives the curves of s t r e s s variations on the heated surface for 0 5 Fo 5 0.2 for different Bi values. In the same work one can find the curves for changes in maximum stress on a heated surface in terms of the Biot number. These stresses on a heated surface a r e the highest in a plate. Reference [18] gives the curves of stresses on a heated surface in terms of the Fo parameter for /I1 both a loose plate and a fastened one to prevent bending. Reference [19] studies the case of T linearly changing in time for a! = const; here, both Tr and a! r change linearly. The solution given in [ZO] is closest to reality and, therefore, most complicated. T and a are represented a s the sum of a constant and two
-
r
exponential functions with a negative exponent proportional to time. The author of [20] makes the same e r r o r as the one in [21], which has been noted in [22]. We are not giving the solutions for this chapter because they a r e a special case of solutions discussed below.
6
4.
METAL SKIN WITH OUTER HEAT INSULATING LAYER
Solid fuel rocket engines a r e used for booster rockets, flight boosters and missiles. They develop a tremendous thrust in a very short time. Charges burning on lateral surfaces intensely heat chamber walls. New high-melting alloys for operations at temperatures above 1000°C have been investigated recently, but they do not satisfy simultaneously all the technical requirements. Thus, high heat resistance may be coupled with brittleness or intense oxidizability of the surface. Heat-resistant coatings may be used to protect metal walls [23], and the skin of aircraft [2] from heating. To determine the practical value, one must calculate the temperature of the metal w a l l protected by the coating and establish the magnitude of thermal stresses. Such stresses exist in steady or transient temperature fields if the temperature differs from the initial one. 4-1.
/12
Mathematical Formulation of the Problem
The problem is represented graphically in Fig. 1. The temperature field of the insulation is described by Eq. (1-2) for w=O: (4-
I- 1)
The initial temperatures of the metal and of the insulation a r e the same
T,,, (0)=T ( x , 0) =T o .
(4- 1-2)
There i s an ideal thermal contact between the metal skin and the insulating layer, hence the temperatures in both layers at all contact points a r e identical
T,
(T)= T
(4-1-3)
(0, .e).
Because of the high heat conduction of the metal, the temperature of the metal wall is virtually identical at all points. The heat flow between the metal wall and the environment is negligible. P&?7-+~1
Thus, all the heat transferred through the insulation is stored by the metal. The heat balance equation yields --1
dT(0. 2)
ox
+
CmYnJm 7 dTm(7) -0.
(4- 1-4)
A t the initial time (z-0) one of the conditions (1-3), (1-4) or (1-5) is fulfilled on the surface x - 1 . C X +
Fig. 1.
To determine thermal stress it must be assumed that the plate is loose (not rigidly held) and free of mechanical stresses. Interaction between elasticity field and
7
temperature field is negligible [24, 25, 261, hence the problem of temperature distribution is investigated separately, independently of stress analysis. Since the rate of change of the temperature field is small in comparison with the velocity of sound, thermal s t r e s s e s are determined by the temperature distribution at a given time without taking the inertial forces into account. The latter corre- /j13 spond to the motion of skin particles during variable thermal expansion. According to the initial condition of the thermoelasticity problem am
( X , . O ) =0.
(0) =a
(4- 1-5)
Assuming that temperature distribution in the insulating (refractory) layer I
1
is uniform and equal to mean temperatureT, =TJT
( x , ~ ) d r , t h estresses in
0
the layers can be calculated from the following equations [27]: Om
0
-
0 (E, Fo)dE.
(5-1-9) 23
/30
If the plate is fastened to prevent bending, the t e r m 8 (Fo) in (5-1-7) is 2 taken equal to zero.
5-2.
Temperature of Surface x = I Is Constant
The plate's temperature field is given by Eq. (4-2-2).
Constants C1 and
C are determined from boundary conditions (5-1-3) and (5-1-4) the transforms 2 of which are
dE
+ Bi,B(O,
s)
=.O;
(5-2-1) (5-2-2)
/31
Substituted into (4-2-2) they yield
(5-2 -3) The solution of the problem can have two forms. First, we convert Eq. (5-2-3) in the same way as (4-2-6) and use the table of transforms t o find a solution for small Fo values 9 (E. Fo) = erfc-
1-E - erfc 2 VFo 2 r/Fo
IfE+ (5-2-4)
Second, we use Theorem (2-4) and get
+-
I
Pn cos P,,E exp (- pz FO).
Bie
I
(5-2 -5)
where A,=--'
2 cos pn pn - sin pnCOS pn
'
1n are roots of the characteristic equation t a n p = - wP
24
(5 -2 -7)
Expressions (5-2-6) and (5-2-7) are identical with (4-3-7) and (4-3-5). Figure 8 shows the curves, plotted from Eqs. (5-2-4) and (5-2-5), which indicate the changes of temperature in time for 6 = 0 and different values of BiO.
Figure 8. Thermal s t r e s s e s are determined from Eq. (5-1 -7). This requires computation of B1(Fo) and e2(Fo). We substitute the obtained solution (5-2-5), compute the integrals and get
. cos pn - I
2
exp (-- P,,Fo);
(5 -2- 8)
n=l
(5 -2 -9)
5-3.
_____ Plate Is Heated by Steady Heat Flow
The plate's temperature field is described by Eq. (4-2-2).
Constants C1
and C2 are determined from boundary conditions (5-2-1) and (5-1-5).
The
transform of (5-1-5) has the form
(5-3-1)
After substitution of the values of constants C1 and C2, Eq. (4-2-2) takes the form 25
(5-3-2) We convert Eq. (5-3-2) the same way as Eq. (4-2-6), use the tables of transforms and find the solution for small Fo values
/33
(5-3-3) Weuse Theorem (2-4) for the temperature field and have
(5-3-4)
n=I
where A, = 1
2 sin pn p n + s i n I+n cos pn
(3
Pn
'
(5-3-5)
are roots of the characteristic equation cotan p = -.rP Bi,
(5-3 -6)
The roots of Eq. (5-3-6) and expression (5-3-5) are tabulated in [3]. In Figs. 9 and 1 0 are plotted the curves which give the values of for E
=
0 and
6
e ( E . FO) Ki
=
1 and for different values of Bi
The curves in Fig. 9 are
Bio
0' identical with the temperature curves at the center of a symmetrically heated plate. W e can therefore use the charts of Graber [ l o ] , Bachmann [ill, Heissler rl21, Boeltler r141 and Grigull r15, 16).
26
Figure 9.
0
20 30 W 5 0 70 100
Figure 10.
Thermal s t r e s s e s are determined from Eq. (5-1-7), after substituting solution (5-3-4) into (5-1-8) and (5-1-9):
(5-3 -7)
/34 (5-3-8)
27
5-4.
Plate Is Heated So that the . _ Temperature T r = Tc = const
/35
The transform of Eq. (5-1-6) can be written d’(lv dE
+si, {T(l. s ) -
-
e,(s))=O.
(5-4-1)
After substitution of the constant values found from boundary conditions (5-2-1) and (5-4-l), Eq. (4-2-2) takes the form
F o r Tr = Tc = const dimensionless temperature 8r (Fo) = 1. We substitute Or (s) = l / s into (5-4-Z), use theorems (2-4) for the temperature field and obtain C39)
(5-4 -3)
pn a r e roots of the characteristic equation (5-4-4) A are initial temperature amplitudes n
(5-4-5) The intersection points of the curve y = cotan ,u c with the hyperbola
yield the roots of Eq. (5-4-4); their number is infinite.
28
I
The roots /A and the initial temperature amplitudes An were calculated by the computer "Minsk-Zt1 and are given in the tables of Appendix 111. If BiO and Bil exchange places, the roots of Eq. (5-4-4) do not change. These tables can be widely used with transport phenomena. The analytic solution in c401 requires computation of the roots of characteristic equation 2 z - (A, + A,) z cotan z - h ,A2 = 0 which after substitution of z = p, h = BiO and
X
2
= Bi
2
Emery [411 used the solution in [4] which
is identical with (5-4-4).
has the characteristic equation tan /3 =
~
'
'
" . In [42, 431 a similar equation
8' - h2 was obtained: t a n a l =
6 = al,
~
a2 - h2
These equations , following substitution of p
Bi are also identical with (5-4-4). 1 which after substitution of leads to cotan ,=I p Bi = hl =
Bi
0
=
Bi = Bi,
+ Bi,
also is identical with Eq. (5-4-4). equation
and
=
=
The solution in [44]
Bi. Bi, Bi, + Bi,
One solution in [45) has the characteristic
which after the substitution of P = p f b T - ( g ) * ( + ) ,
(g)
= BI.,
+ Bi,
(g) Bio =
is identical with Eq. (5-4-4), too. While editing the final version of this book, I learned that Glikman [46] found solution (5-4-3) before I did. He assumed that at an initial time T = 0 on both sides of the plate the temperature changes from To to TI = const or T2 = const. Since Fourier's differential equation is linear , Glikman's solution can be readily found from Eq. (5-4-3) by superposition.
29
/36
W e substitute solution (5-4-3) into (5-1-8) and (5-1-9), compute the integrals and get
(5 -4-6)
W
+ 12
A,
{ 2% 2P:
( I +cosp,
- 2-
Pn
(5-4-7) Assuming for (5-4-3) BiO = 0 we obtain the well-known solution for the temperature field of a symmetrically heated plate. _ .. . .
If Bil
-+
my
the temperature of the plate's outer surface immediately be-
comes e(1, Fo) = l and all the solutions obtained are converted into the solutions discussed in Section 5-2. Because of inequalities P I < k < k < ... 0.00156 0.00308
1.05854 1.08710 I ,I IO 17 I , 12307
0*064Xl 0.09758 0.12~7
0 .o I352 0,02295
1.12361 1.12221
0.15544
::z 0.001
PI
1,00017 I.00033 I ,00083 1.001fi5 I.00328 I. 00m 1.01516 1.02874
0.15096
0.1551fi
I , 12059 1.11990
0,15271
PI
Pa
0,15355
0.00734
0.0370) 0.04401 0.04662 0.0 1707 0.01692
PI
0,00019 0.00038 0.00076 0.00186 0.00360 0,00668 0,01308
0.01795 0.02071 n.02171 0.02178
I I .OF552 ll,Ot?.j71 I I .08;98 I I .O&iI3 II .om2 I I,0"1 I I ,OQ44i
I I , IO340 II.l.?m7 I I , 17408 ll.2.XPJ! li.1Ti? I 1,78392 i2,inw I ? , 4O.S.5 12.52 I 49
P# 14.207.54 14,20757 11.20778
1.1.zn813 I .I. 2 o m 14.210'JD 14,21 1-13 11.22143 14.21235
14.27702 14.31528 11.53712 11;75RRs IS, I 2fi 44 16,472 IO 15.61700
0,00001
o.ooo71 0.00I40 0.00269 0.00.579 0.0088i 0,011 15 0.01227 0.01212
0.00034 0, 00068
0.00132 0.00299 0.00492 0.00671 0,00779 (1,00798
K =d.O I31 0.001 0.002 0.005 0.01
0,02885
0.02 0.05
0,12859
0. I 0.2
0.5
I .o
2.0
5.0
10.0
20.0 50.0 100.0
Bi 0.001
0.002
0.005 0.01
0.02 0.05 0.I 0.2
0.04081 0.06446
0.09110 0.20211 0.28305 0,39269 0.58782 0.76552 0.9 I350 I , 12728 I.21229 1,26082
1.2M08 1 ..m86
5,45452 5,45469 5.455 19 5,15603 5.15771
2.80644
5 53693 5.filfiOl 5.76129 6.08762 6.38001 6.61142 6.7835? 6 , 8 I567
2.93871 3. I620 3.492% 3.71721 3,863fiR 3 , %307 3.99794
A, 1.00018 1,00037
O.ooo??
1.00184 1.00.367
n.00108 0.00218 0,00131 0.01064
I ,ow92 I .oom
1.01773 1,03398
-A*
o.oonn
O.oMtl6 0.04018
At 1,07489 I , 12307 I . 175@
I. m 8 6
1.23630 I.2401 I 1,24075 1.24060
I 4
2 .fi5399 2.65431 2,65529 2,65592 2 .fi6O I7 2.69985 2.68586 2.7 I726
0,08982 0.150% 0.22424 0.30326 0.33265 0.34273 0.34502 0;34488
5.46274 5.471 IO
5.48774
A3
n.ooo4
o.oooo,9 nmxi
O.Ow-l2 0.00083 O.OW07 o.no4i2 0.00815
P4
8,39146 8.39 I57 8.39191 8.33248 8.39361 8;397CO 8.40265 8.41393 8.44754 8.50261 8.60816 R.87%,< 9.18377 9; 168 I7 q.70Si8
I 4 I I ,4087 I I I .408i9 I I ,40905 11.40Wi 11 AI032
R 14.46991 14.47000 14.47Mo 14;47054 I 4.47 122 I 4:4735.; 14.47663 14.48338
I I .-ki0[10 I I ,49272 I 1,57415 I 1.79732
I4.50.3661 lJ.tmI? I4.60815 I 4;7am 15.041615 15,16737
15.7 I tra 15,956 17
9,798.12
-A.
-A* 0.00000
0.m1 n.m3 0,00007
o.oooo1 0.COGi.Y
n.00014
o.oOo(13
0.00028
0,oOonli O.OOOI5
O.ooO(i9
0.00101 O.WT4
AI
-A:
0.01968 0.03708 0.C6547 0.I I398 0.14210 0.15498 0.15902 0.15925
0,00673 0,01308 0.02154
0,04946 0.06977 0.08221 0.08725 0.08783
O.oOo3 0.oOotil
-A. 0.00294 0.00679 fj.01 I I6
0,02433 0.om-l 0.04822 0.053.53 0.05433
0.00151 O,002!N 0,00584 0,01332
0.02209 0,03039 0,03553 0.03645
55
K = 10.0 Bi
PI
PA
Irr
I4
I 4
i4
0.001
0.03015 0,04262 0,06736 0.09517 0.13435 0.21121
2,86309 2.83341 2.85437 2.86597 2.86915 2.87867 2,89439 2,92527
5.76072 5.76088 5.76136 5.76217 5,76378 5.76862 5.77666 5.79266
8.70812 8,70853 8,70886 8.70940 8.71049 8.71374 8.71916 8.72999
11.70276 I 1.70284 1 1.7038 I 1.70349 11.70431 I 1.70677
14.73353 14.73360 14.73380 14.73413 14.7347 8 14.73676 14,74004 14,74661
3.01334 3. I4478 3,35538 3.71721 3.95854 4.11861 4.22802 4,26648
5.84002 5,91638 6.05745
8,76226 8.81522 8.91719 9.18077 9.47833 9.76762 10.01195 IO, 10428
2%
0.01 0.02 0.05
0,29610
0,I
0.41139
0.2
0.61828
0.5 1.o
10.0
0.m951 1 00499 1:21229 1,31023 1 .%73
1m:o
1,41597
2.0 5.0
10.0
500
1.40332
6.38001
6.67660 6.91599 7.09587 7,16104
B1
AS
-4
Aa
0.001
I,Mx)18 I ,00036 1.ooo89 I .00178
0.m1
O.OoM15
0.00002 O.woO4
0.00024 O.OOO48 0,00097 0.00242
o.woo9 o.wo19 0.00038 0.00094
0.00481
0,00954 0.02316 0.04401 0,07889 0.14210 0,1@2Ol 0,20209 0.20951 0,21048
0.002
0.005 0.01
0 wo13 0:00107 0.00214 0.00427 0.01056 0.02076 0.04013
1.00355 1 ,00878 1.01722 1.03314
0.02
0.05 0,I 0,2
1,07394 1.12361 1.18394 1.23620 1.25410 1,26008 1.26185
0.5
1.o 2.0 ' 5.0 10.0
20.0 50.0
1,26202
100.0
0,09083 0.15544 0,23697
-
0,33265 0.37240 0.38800 0.39300 0.39355
o.ooo1o
I 1.71087 I1.71905
I 1,74350
14.76628 14,79888 14.86316 15.04465 15.29524 15.6 I469 15.95876 16.10398
I 1,78392 1 I .86298
12 07951 12:35634 12.66985 12.96941 13.081153
-A*
AS
-A,
o.oooo1 o.ooo02 O,ooOo5 o.ooo09 0.00018 0.00045
0.00000 0,00001 0,00002 O.ooOo5 0.000IO 0.00025
0.00187
o.ooo91
O.ooO5O
0,00373
0.00181
0,00100
::%E
0.00449 0.00885 0.01712 0.03774 0.05936 0.07692
0,00249 0.00492 0,00963 0,02209 0.03694 0.05136 0.06059 0.06234
5.03393 0;06977 0.I0056 0.12058 0.12946 0.13076
0.08631
0.08788
APPENDIX 111
Tables of Roots of the Characteristic Equation
and Initial Temperature Amplitudes
A,
56
[(I +%) sin
Pn cos pn 2sinyn
+ pn +-Ri,Pn =
siny,,
1
0,m
0,01415 0,03317 0.04581 0.06400 0.07803 0;08989 0,10034 0,14131
3. I41 1.5 3.14191 3,14226 3.14289 3.14353 3.14416 3.14480 3.14797
6,28721 6,2AZ?fi fi.28I52 6.28384 fi,ZBll;i 6.28$47 6.28 I79 6.2638
9,424ry) 9.42489 9.12500 (3.42321 9.42512 0.4256-1 9; 4258 4 9,42230
0.04 0.06 0.08
0.19893 0,24274 0,27932
0.1
0.31122
3.15430 3. IROCO 3,166L7.9 3, I7313 3,20395 3,23412 3,26357 3.29231
6.28956 6,29273 6.205'31 6.23'307 6.31186 6.33056 G,34615 6.36163
9.42W2 9.43114 9,4.327 9,11538 9.44535
3,32039 3.3477.i
6.37701 6.39227 6,40741 6.42212 6,4373 I 6.50967 6.57835 6./0396
9.48794 9.493% 9,50872 9.51'B5 9.52934 9,58010 9, t F 6 i 9.72tO4
6.81402
9.81 188 9.87276 9,9?;6h? I O .03 19.2 IO .09 192 10.16019 10.?00?7 10.3S9aO
Q.M)OI
0.001 0.002 0.004 ,O,M)6 0.008 0.01
0.2 0.3 0.4
0,43296 0,52190 0.59334
0.5
0.65336
0.6
0.70515 0,75064 0,79111 0,82748
0.7
0.8 Q.9
I .o
1.5 2.0
3.0 4.0 5.0 6.0 7.0 8.0 9.0
10.0 15.0
20.0 30.0
40.0
50.0 60.0 80.0 100.0
BI, 0,0001 0,001
0.98831 1,07694 I. 10253 1,26466 1,31390 1.34962 1.37668 1,39788 1.41493 1,42894 1.47298
3.93518 4.03358 4.11163 4,17465 4.22638 4.26946 4,30582 4.42551
I , 49620
4.49 150 4.561 52 4.59796
0,86041
1,52023 1,53257 1.54008 1,54512 1.55147 1.55531
A, 0.49999 0,90917
0.01 0.02
0.95262 0.97618 0.98 151 0,98839 0.99 I66 0.99824
0.04 0.06 0.08 .~ 0.1
1.01162 -.l.01500
0.002
0.004 0,006 0,008
0.2
0;3 0.4 0.5
€31, 3.0 4.0 5.0 6.0 7.0 8.0
9.0
10.0
15.0 400.0
50.0 60.0 80.0 100.0
3;i743 3.4003ti 3,42j f i 4 3.54219 3,64362 3,80878
1,00398 1.00803
1.03049 1.04461 I .05769
4:620'%
4.63531 4.654?0
4,66578 --A 1 0,00002 0,00090 0 .ooo 10 0,000s1 0.0012 I 0 ,oo I I< I
0.00?0? 0.00102
0,00801
0.01193 0.01582 0.0 ItltiG 0.03515
0,05351 0.0:189
1,06983
0.08727
AI 1,21009 1.22858 1.24013 1.24776
-As 0.28814 0.32146 0.34421 0.36038
1,25306
0,37224
1,25687 1,25969 1.26185
0,38116 0,38804 0,39343
1.26754 1.26981 1,Z157 1,27223 1,27255 1,27272 1.27290 1.27298
0,40840 0.41472 0.41979
0,42172 0.42266 0,42318 0,42370 0.42395
6.90961 6.99236 7.06401 7.1289 7.18056 7.22812
7,39591 7.19512 7.60570 7.664Gti 7.T0117 7.72303 7,75732 7.77638
Bi, = 0.000I A3 0 ,00000 0.00005 0.000~0
0,00030
o.nmm
0.000 IO 0.00050 0,00101
9.4x.50 9.4hiO 1 9.47749
12;5ti796 12.;r,?56 12.37114 12.5i274 12,574X3 12.,9"7 I 2,j:ro 19 1 2 . ~ ~ I8 1
IO. t OiOO
15.7105.1 Ii.711i3 15.71.05 l.5.714.U I5.7306'3
I5.TZO1 I 5.7333 I5.73977
12.61391
12.62178 12.@%63 12,6J7 4 i 13.1'14539 12.68409 I?. 72930 12.79ti65
10.51 107 10.63133 i n 71343 13.~11131;
13.09509 -.A,
0.WW O.OO~N2 0.000J1
4,
0,MK)oo 0.11000 I
o.oolloo
0.0001 3 0 .om1 I s 0 * 0002'' 0,00015
O.OO~O? 0, O O ~ O O
0.00103 0, no503 O,'10%l7 0.01 181 0,01963 0.09433
Aa 0.11544 0,13964 0,15877 0.173% 0.18611 0,19591 0.20388 0.21043
-A4 0.05893 0.07430 0.08763 0,09910 0,10895 0,11739 0,12463
0,23019 0.23936 0.24715 0,2324 0.25176 0.25261 0.25348 0,25389
0.15142 0,16207 0,17181 0.17587 0,17791 0.17907 0,18026 0.18081
0.1308j
As 0,03506 0,01514 0.05433 0.06265 0.07012 0.07682 0.08279 0,08812
-A. 0.02307 0.03004 0.03659
0,10724
0.07953
0.11824 0,12914 0,13396 0.13645 0,13789 0.13940 0,14012
0.01268
0,0%8?3 0.06355 0,05833 0.06272 0,09014
0.10153 0,10690
0.10976 0.11145 0.11324 0.11411
57
BI. --. 0,oOol 0.001 0.002 0 004 0:oos 0.008 0.01 0.02 0.04 0.06 0.08
0.1
0.2
0.3 0.4 0.5
Bio = 0.001
a
P I
h
0.0&17 0.0+472 0,05477 0,07068 0.08361 0.09477 0.10474 0.14448
3,14194 3.14223 3.14254 3.14318 3,14381 3.14445 3,14509 3.14826
Pa 6.28336 6,28350 6.28366 6,28397 6,28129 6.28161 6.28193 6.28552
9.42489 9,421W 9,42509 9.4253 I 9.42551 9.42573 9.42594 9..L2700
12.56645 12,56653 12.56660 12.56676 12,56692 12.56708 12.56724 12,56804
15,70803 18.70808 15.70815 15.70827 15.70RIO 15:70s53 15.70856 15,70930
0.20121 0.24462 0.28396 0.31 27 1 0.43407 0.52284 0.59119 0,65416
3.15459 3.16089 3,16716 3.17341 3,20424 3,23439 3,26384 3.29259
6.28970 6;?9288 6.2S60.1 6.29W2 6,3 IS00 6.330j9 6i3-1628 6.36177
9,429 12 9.43 124 9.433% 9.43548 9,44605 9.45660 9.46711 9.47758
12.56363 12.57122 12:57281 12.57440 12.58234 12.50027 12.59818 12,60609
15.71057 15;71l84 15.7131 1 15,71439 15.72074 15.72710 15.73344 15;73978
0.70590 0;75136 0.79181 0.82816 0.86107 0,98893 1,07754 1.19312
3.32055 3.34800 3.37465 3.40061 3.42589 3.54242 3,64384 3,80899
6.37715 6.39241 6.40755 6,42256 6,43745 6,50980 6,57848 6.70409
9.48803 9,49844 9.50881 9.51914 9.52943 9.58019 9.62966 9,72112
12,61398 12,62185 12,62971 12,63754 12.64536 12.68416 12.72237 12,79672
15.7461 I 15.75213 15,75874 15,76505 15.77 135 15.80266 15,83367 15.89457
1.26524 I31448 1:35O20 1,377'26 1,39816 1,41550 1.42951 1,47355
3,93539 4.03378 4.11183 4,17485 4.22657 4.26965 4.30602 4,42570
6.81415 6.90973 6.99248 7.06416 7:12641 7;18069 7.22823 7.39603
9.81197 9.89284 9.96677 10,03400 lcJ.0950 I IO. 15028 IO ,20036 10,38988
12.85783 12.93530 12,99889 13.058jl 13.11420 13,16606 13.21426 13.40783
15.95368 16.01072 16.06545 16.1 I774 16.16752 16,21474 16,2294 I 16,44743
1,49877 1,52081 1.53314 1.54064 1.54569 1,55204 1.55588
4.49169 4,56171 4,59815 4.62045 4,63550 4,65449 4,66597
7.49554 7.60581 7.66479 7,70129 7,72604 7,75744 7.77650
10.51 176 10.65141 10.73350 10.78325 10,81729 10.85072 10,88721
13,54205 13.70851 13.80491 13,86670 13.90943 13.96442 13.99815
16.58615 16.7G91 I 16.8;950 16.95 193 17.00?68 17,068131 17.10936
0 . m
AB 0.mo
BI, = 0.001 At
0,Mx)I 0,001
0.002 0.004
o.owo92
0.49992 0.66656 0.80003
-A, 0.00002
O.ooM0 0.00040
O.COI8l
AS
::E
0.000010 0.00020
O,oooO2
o.oooo1
0.00004 0.m9
0,00005
O.oooO2
Elo = 0.ool
0.00202 0.00403
0.00030 0.00040 0.OG051 0,00101
-A. 0.00013 0.00018 0.0002? 0.00015
0,98123 0,99243 0.99964 1.00521 I ,025I I 1,04072 1.05453 1.06712
0,WaOQ 0.01 I94 0.01582 0.01965 0.03814 0.05552 0.07187 0,08725
0,00202 0.00302 0,00403 0,00503 0,00997 0.01484 0.01963 0.02433
0.000r0 0,oo 135 0.00179 0;00224 0.00447 0,00668 0.00888 0,01105
0.6 0.7 0.8 0.9 I .o 1.5 2.0 3.0
1.07870 1,08940 1.09932 I , 108.54 1.11710 1.15197 I , 17692 1,20886
0,10172 0.11534 0,12817 0,14026 0,15166 0.19987 0.23668 0.28810
0,02895 0,03349 0.03794 0,0423 I 0.04659 0.06674 0,08484 0, I1543
0.01321 0,01536 0.01748 0.01933 0,0216i 0.03179 0.04138 0.05692
0.00?% 0,01118 0.01239 0,01875 0.02412 0.03506
4.0
1.22742 1.23901 1,24668 I.25200 1,25582 1.25866 1,26087 1.26655
0,32 142 0.34417 o.%a14 0,37220 0,38113 0,38800 0,39339 0,40837
0. I3963 0.15877 0. I7396 0.18610 0, I9590 0,20387 0,21042 0.22019
0,074,10 0,08762 0,09910 0.10895 0. I1739 0.12463 0.1308j 0.15142
0.045 I 4 0,05433 0.M26; .~ 0 .o;o I2 0,07682 0.082i9 0.08812 O.lOi2-I
0.41 469 0,41915 0.42 I69 0,42262 0.4231 4 0,42367 0,42392
0,23936 0.24715 0.25023 0.26175 0.25260 0,25347 0.25388
0.1620i 0.17180 0.17586 0.177W 0,17906 0.18026
0. I1824 0.12913
0,10153
0,133s
O,I&%
0.00121 0 .OO I6 I
O.OR 0.1 0.2 0.3 0.4 0.5
0.006
0.008 0.01
0.02 0.04
0.06
5.0 6.0 7.0 8.0
9.0
10.0 15.0 20.0
2:
50.0 60.0 80.0 100.0
58
-A,
A1 0.85741 0.88943 0,90993 0.95478
811
AS
0,18083
AS 0.W8
0,ooolO 0.00013 O,OOr)2j
0.r)oOX 0.CCQ76
O,r)ry)?2 0,o'xJ I3
0.01)10 I 0.G0 I26 0,00232
G.GOfl91
0,CQXi 0.00152
0.00378
O.'xJ212
0.00t02 0.00627
0.0032? 0.00IO3
0.00750
o.oo:E?
C.00874
0,00562 0 .GO5 1I 0, oO79 0.0073Q
0,12645 0.13789 0,13940 0.14012
0.01 183 0.01 5 i I 0.02307
0.031)04 0.0%59 o.o:2F8 0.04&33
0.0;355 O.G.XX3 0 .oj'27? 0.0:93
0,09014 0.10976 0.1 I I15 0.11324
O.II4II
Bii 0.m1 0.001 0.002 0.004 0,006 0.008 0.01 0.02 0.04 0.06 0.08 0.1 0.2
PI
!+
3.14226 3. I4254 3.14286 3,14350 3.14413 3.14477 3.14540 3,14857
BI. = 0,002 Ir, 6,28352 6,28366 6,28382 6.28413 6.28445 6.28477
I.
PI
9,42500 9.42509 9,42520 9.42541 9.42562 9.42583 9,42605 9.42711 9,42523 9.43 I35 9.43245 9.4353 9.44615 9.45670 9.46721 9.47769
12.56554 12.56660 l?.t6669 12.56684 12,50700 12.567 I6 12.56730 12.56812 12,56TI 12,57130 12.57289 12,57448 I2.5S742 12,593s I2.59822 12.6C6.17
9.48814 9.4Pa55 9.50902 9,515’5 9,3254 9.58029 9.629i6 9.72422
12.61 40.5 I2.62lE I?.ff!?S 12,63762 P.61544 I2.6S423 12 ,-““ , --.I5 12.7%&3
9,81207 9,8!,??4 9.W696
12, R Z O 12.8Xi,;3‘ I2,FSS
2.0 3.0
0.04581 0.05477 0.06324 0,07744 0.08939 0.0999 I 0,10942 0,14792 0.2037 I 0,24670 0,28278 0.3 I436 0,43529 0.52388 0.595 I4 0,65503 0,70673 0.75216 0 79258 0:82891 0.86181 0.98962 1,07822 1.19376
3,15490 3.16120 3.16747 3.17371 3.20454 3.23469 3.264 I4 3.29288 3,32094 3.34828 3.37493 3.40089 3.42616 3.54268 3.64409 3.80923
6.28986 6.29303 6.29620 6,29937 6.31516 6.3?085 6,34644 6,36 193 fiI3i7:O 6.38256 6,40770 8.42271 6.43760 6.50995 8.57662 6,70423
4.0 5.0 6.0
1,26588 1.31512 1.35084
3.93561 4.03400 4.1 I205
6.81428 6.900(187 6,98261
El,
n
Pl
Pa
14
Pa
14
7.0 8.0 9.0 1o.c 15.0
1,37789 I , 39w9 !.41614 ,43014 1,47419
4.17506 4,22679 4.26Y87 4,30623 4.42592
7.Mt29 7.12654 7.I84l8? 7.9’2935 7.39516
10.03410 10.095 IO IO. 15037 10.20346 10,38998
13,05859 13. I1427 13.16613 13.2 I432 13,40790
16. I1780 16,16758 16.21479 16,25948 16.44748
20.0 30.0 40.0 50.0
1,49741 1.52144 1.53378 1.54128 1.54633 1,55268 1,5352
4.49190 4.56191 4,59837 4 , A2067 4,63571 4,6 i 469 4.66Gl8
i .4%G
10.51185
13.54211 13,70869 13.80498 13,83577 13.9045l 13.95449 13.99823
16.581351 16,76917 16.87955 16,95200 17,00273 17.06866 17,10942
A5
--As 0,000oO o.ooO01 0,00002
0.3 0.4 0.5 0.6 0.7
0.8 0.9 1.o
I .5
Bi.
60.0 80.0
lO0,O
15.83’4 I6 .o It’79 16.06Pl
= 0.002
7,60594 i.66491 i,7OI4l 7.2617
7 ,is757
7.77663
10.1351jo
10,73359 IO .78334 IO,81738 10.8508?
IO. 8873I
Si. = 0.002 Bi. 0.m1 0.001 0,002 0.004 0.00s 0.008 0.01 0.02
Ai 0,01763 0,33328 0,49983 0,65644 0,74987 0.80008
-.4s
o.ooo(M
Aa 0.0M)W 0.0)oX
-.a, O.MMJ0
0.00301 0 * 00002
0 003N 0:00’135 0 .OO 179 0,0024 0.00417 O.Olffi3 0.00383 0.01 IO5
0.00051 0.00076 0.00101 O.MI25 0.00252 0.00378
O.Ol032 0,00049 O.OOOi5 0,00081 0,00162
0,00592
0.00322 0,03103
0.03750 0.00873 0.0093i 0.01 I18 0.01239 0 .O I875 0.024 I2
0,81361
0.91075
0,03402
0.00101
0,95714 0.Y7566 0.98367 0.99455 1.01921 I , 03543 1.05105 1.05412
0.03901 0.011q3 O.Ol531 0,0193
0.00?02
0.08723
0.03997 0.01481 0.01963 0.02 413
1.07603 1.08696 1,09706 1 10541 1:11503 1.15028 1,17539 1.20749
0.10170 0, I I531 0.12814 0.14M3 O,I5Ifi? 0.19983 0.236134 0,283933
0.0?835 0.03349 n .o 1794 0;01230 0.01659 0.03573 0,08483 0.1 1542
0.01321
7.0 8.0 9.0 10.0 15.0
I .25082
1,25467 1.25752 1.25970 1,26545
0.32137 0.34413 0.36030 0,37215 0.38103 0.38-95 0.393% 0,40333
0.13963 0 , I5876 0.17393 0.18ilO 0.19589 0.20386 0.21011 0.23018
0,07430 0,03762
6.0
1.22614 I .23778 1.24548
20.0 30.0 m0.0
1,26773 1.2 3955 1.27022 1,27055 1,27073 1.27092 1,27101
0,414.54 0,41971 0.42165 0.47359 0;433iO 0.423i3 0.42333
0.23335 0.24714 0,2322
0.16203 0.171W 0.17583
0.23174 0125259 0.25316 025387
0 . liWS 0.1806 0,13133
0.04
0.06 0.08 0. I 0.2
0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 .o
I .5 2.0 3.0 4.0
5.o
5090 60.0 80.0
100.0
0,03813 0.055l 0.07 I87
O.@OOIO 0,O)OW 0.03030
o.ooo1o
0,03050
0,00302 O.lM403
o.oojQ1
0.00000
0,00002 0.03001 0.00039 0.03013 0.00018 0.03022 0,00345
0.030?0 0,00010 0,03081 0.03121 0,00161 0,01202
0.01536
0,01745 0 .o I958 0.01167 0.03178 0.04138 0.05391
0.0?910 0.108U
O.II73a 0.12162 0.130S4 0.15142
0.177w
o.om3 O,DMx)8
0.00010 0.00013 0.00025
0.03527
0,03003 0 .00005 0,00006 0,00008 0,00016
0,00212
0,03503
0,00182 0.00562 0.03611 0.03720 0.007‘19 0,01188 0.01570 0.02307
0.01514 0.05133 0.062% 0.07012 0.07682 0.08279 0.08312 0,10724
0.03001 0,03659 0.01268 0.01813 0.0735 I 0,05533 0,06272 0.07953
0.11824 0,12913 0,13395 0.13645 0 . I3789 0,13939 0.11012
0,0901 I 0.10153 0,lOjW 0,10976 0 . I I145 0 . I I324 0.11411
59
Bii
PI
0.0001 0.001
0.002 0.004 0.006
0,06100 0.07068 0.077.14 0,089.12 0,09996
0,008
0,10917
0.01 0.02
0.118?2
Bit 0.04
:0.1 0.2
0.3
'
0,15456
PI
.
0,20862 0.25079 0.28638 0.317hl 0,43773 0.52596
0.4
0.59702
0.5
0.65678
0.6 0.7
0.70839 0,75375 0.79412
0.8 0.9 1 .o
I .5 2.0
0,83041
0,86328 0,99100
1,079.3
3.0
1.19506
4.0
1,26717 1.316;O 1.35211 1.37917 I ,40037 1,41741 1.43142 1.47546
5.0
fi .O I
.o
8.0 9.0 10.0 15.0
FO,O 60.0
1,49868 1,52271 1,53505 1.54235 1,54760
89.0
1,55395
100.0
1,55779
90.0
30.0 40.0
14 3,1423) 3.1131 S
E;; .>,
1 :I-:
3.145:O 3.1!AII 3.1 lO?l
H 6.28381 6.28397 6.28113 6,28115 6.28177 G.26509 6.28541
6.28700
9..19?1 9.q2531 9.1'2341 9,1';62 9.12593 9.42615 9.a3 0.42732
BID = u,0.004
KI
PI 9,42941
3,15,753 3.16183 3.16810 3.17'434 3,207I5 3,23529 3,26472 3,29346
6,2E018 6,29335 6.2'652 6,29959 6,315.l8 6.331I6 6.34hi6 6..%224
3,321,;I 3.348% 3.37.38 3,40143 3.42hiO 3.54319 3.64458 3.80969
6,3776I 6.39287 6,40800
9.4885
6 * 42202
9.5194.i
6,43iW 6.51025 6,Si891 6.7045I
93975
3,93606 4,03445 4,I1249 4,17:50 4,2272'2 4.2iO 30 4.30666
6.81456 6.91013 6,99288 7.06455 7,12680 7,18108 7.22862 7.39641
9.81 227 9,81314 9,YI7Oi 10.0747'7 10,0952'J 10.15n56 10,!?0060
7.49592 7,6061 9 7,66517 7,70167 7.7f642 7,75782 7,77688
10.51 ?03
4.42675 4 , 49932
4.56234 4,59878 4.62109 4,63613 4,65512 4.6666 1
9.4ll56 9.43368 9,13580 9, 4#;.!6
9.m9l 9,4;742
9.4i790 9,49876 9.3912
9,58n:o Y ,829Oi
9,72443
IO,>?01F
IO ,65469
10,7337; 10.781.72 10.81757 io. sfiInr) IO,887-19
BI, = 0.004 Bi, 0.0001 0,001 0,002 0.004 0.006 0,008 0.01
0,02440 0.20001
-A2
0,00002 0.om20
A3
o,oDooo
--.-I, 0.00010 0.00002 0,009l)l
0,33322 0.49967 0.59956 0,66622 0.71391 0,83387
0.00040 0,00081 0.00121
0.00005 0,00010 0 .OOO?@ 0.000~0
0,0016 I 0.00202 o.oo-K)2
0.000'0 0.000.50 0.oo10 I
,91236 ,94378 ,96171 .Y7393 ,00761 ,02iR5 ,04416
0.00500
0,00"02
0,000'0
0.01192
0,00302 0.00103 0.00502 0.00997
0,09135
0,01580 0,01063 0,03510 0.055.l8 0.07 I81
0.01 481 0,01%2
0,00668
0.5
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0,08718
0.02433
0.6 0.7 0.8 0.9 I .o I ,5 2.0 3.0
,07073 ,08212
0,1016~5 0,11526
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0,12808
0.02534 0.03348 0,037113
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0,14016
0.01?:!0
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0,15156 0.19975
0,OlfiSS
,17234 ,20477
0.23655
0,06672 0.08462
0,28797
O.II54l
4-0
,22358 ,23532 ,24309 ,24848 ,25236 ,25524 ,25744
0.:'2193
0.0-429
0.3440k 0.36021 0,37207 0,?8100 0.3,5787 0,39326
0.P j X 2 0,o y n o n , inso 4
0.02 0.04 0.06
0.08 0.1
D.2 0.3
0.4
5.0 6.0
7 .o
8.0 9.0 10.0
60
A1
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o .nooo'l
0.00013 o.nooi8
o.ono?:!
0,00045
o.onim 0,005'74 0,004J7
0 , C O ~ ~ 0.01 IO5 0.01 321 0.0 I i.35 0.01;48 0.010:8 0.02166 0.031.8 0 . O I I "Z 0.03w2
O.IIT:9
0.19W
0.13034
81.
0,18082
3. i43s 3.14381 3.14413 3.14477 3.14510 3.14604 3.14668 3,14984
6.28415 6.28%29 6.28145 6,28477 6.2839 6;2%541 6.28513 6.28732
9.42542 9.4285 I 9.42562 9.42583 9.42605 9;42626 9.42617 9.42753
12.56683 12.56692 12.56700 12.56716 12156732 I2;56748 12.56761 12.56814
15.70835 15.70810 15.70817 15.70860 15.70872 15.70885 15,70838 15.70962
0.21340 0,25481 0,28993 0,3208k 0,44014 0.52803 0,59888 0,65853
3.15617 3,16245 3.16872 3.17496 3.20576 3.23589 3.26532 3.29405
6.29050 6,29367 6.29581 6.3owo 6.31579 6.33147 6.34706 6.36255
9.42965 9.43177 9 43389 9:43600 9.44658 9.45712 9.46763 9.47811
12,57002 12.57162 12,57320 12.57480 12.58274 12.59067 12.59858 12.60648
15.71068 15.71216 15.71343 15.71471 15.72106 15.72742 15.73376 15.74010
0.71005 0,75534 0.79566 0.83191 0.86475 0.99237
3,32207 3.34910 3,37604 3.40198 3.42721 3.51370 3.64506 3.81016
fi.3779.~ 1 6.39318 6.40831 6.42392 6,43820 6.51054 6,5792I 6.70480
9.48856 9.49896 9,50934 9.51967 9,52995 9.58070 9.63016 9.72.162
12.61 437 12,62225 12.63010 12.63794 12.64575 12,68455 12.72276 12.79710
15.74643 15.75275 15,75906 15.76537 15,77166 15,80297 15.83398 15.89188
1.26815 1.31768 1.35338 1.38014 1.40164 1.41838 1.43268 1.47673
3,93651 4.03489 4,11292 4,17593
9.81246 9.89333 9.96725 10.03448 10,09548 10,15075 10.39034
12.868’21 12.93567 12.99326 13.05888 13.11457 13.16643 13.21.162 13.40819
15,95399
4,27073 4.30708 4.42676
6.81483 6.91041 6.99315 7.06482 7.12707 7.18134 7,22858 7.39667
16.05576 16.11805 16.16782 16.21503 16.25972 16.44772
1.49991 I ,52398
4,49275 4,56277 4.59921 4.62151 4,63656 4.65555 4,66704
7.49618 7,60515 7,66342 7.701 92 7,72658 7 -75898 7,77714
IO ,51221 10.65487 10.73396 IO ,78371 IO,81735 io,ffiiia 10.88767
13.54240 13,70897 13.80527 13.86706 13,90979 13.96 178 13.9985 1
16.58574 16,769(0 16,87979 16.95222 17,00297 17.03890 17.10965
-A. 0.01’)00 0.00D2
A. 0.00070 0,00001
0:0000i
0.00002
0.00009 0.03013 0.00g18 0,00022 0.00015
0,09035 0.00008
O.003M
0.00360 0,00076
0.00032
0.00101 0.00116 0.00352
0,00365 0.00081 0.00162
1.26560
1.26743 1.26812 1,26846 1,26865 1.26881
1,26893
0.07b3 0 001
0332 0,004 0.005
0.08361
0.08939 0,09996
0.008
0.01
0.02
0.04 0.06
0.08
0.1 0.2 0.3 0.4
0.5
1.08088 1.19636
4.0 3.0
6.0 7.0 8.0 9.0 10.0
15.0
1,53632
1.51382 I ;54885 1,55522 1,55906
4,22765
..-.
-A. 0 15141 0:16206 0.I71 79 0.17585 0.17789 0.17W5 0.18025
-Ai
A. 0,10723 0.11823 0.12913 0,13385 0.13614 0,13789 0.13939 0.14012
1.26326
-A* 0.40824 0.41456 0.41964 0.42157 0,42250 0.42302 0.42355 0.42380
81, = 0.004 A, 0,23016 0.23933 0,24712 0,25021 0.25172 0.25257 0,25344 0.25385
A.
10.30082
0,07953
0.09014 0.10152 0,10689 0 . IO976 0 . I I I45 0,11324 0.11411
16.01 102
BIo = 0,006
El, 0,0331 0,001
0.002 0.034
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0.033)3
0,00020
A. 0.03mo 0.00005 0.00310 0.00320
0.03010
o;ogizi 0.00161 0,00202 0.00 102
O,~O?JJ
0.01 0.02
0,2 4993 0,33971 0.49950 0;57083 0.62132 0.76MO
0.04
0,87161
0.05 0.08 0.I
0.91383 0,93831 0.95113
0.2
0.93528
0.00793 0,01!91 0.01579 0.01932 0,03838
0,00102 O.OOU)? 0.00M2 0.0032 0.03997
0.03s
0.008
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RI. 0.3 0.4 0.5 0.6 c
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0.7 0.8 0.9 1:o
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2.0 3.0 4.0 5.0 6.0 7.0
A. --.
0:OOOAI
0.00310 0,OJOjl
0.00101
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0,02891
1,20206
0.10159 0.11520 0.12802 0.14010 0.15149 0.19967 0,23647 0,28788
1.22104 1.23288 1,24071 1.24615
0,32120 0,34395 0,36012 0.37198
0.13160 0,15873 0,17391
1,06548 1,07733
I.08811 1,09799 I .I0709 1.14356 I , 16931
0,00008
O.WO16 0.00048
BI. = 0.006 -A. 0,055;s 0,07178 0,08714
1.01962 1,03736 1.05232
0.00135 O.WI89 0,00224 0.00117
0.00010 0.00013 0.00025
-A.
0.00090 0,00001 0.00002 0.00003 0.00005 0.00006
0,01962 0.02432 0.03348 0.03793 0.0~1229 0,046.57 0.06672 0,08481
0.11540
0.1%06
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A S
O.CW& 0,oC)Rsa
O.OM78 O.CG32
0.01105
0.00627
0.01321 0.01535 0.01748
0.W750 0.00374
O,OIY38
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0.w2.12 0.”32 O,w)u)3
o.rwi‘yi
0.01118
0.02166 0.03I78 0.04I37 0,05892
0,01239
0.07429
0,04514 0,05433
O,”m
0,08761
0,0909 0,10893
O.;fi?64
0.070I2
0.042?3 0.043%
0,OISj 0,02412
O.OLM O.o%ija
61
8.0
9.0
10.0 15.0
::E 1.25520 1,26108
0.38091 0.38779 0.39318 0.40816
0.19586 0,20383
0,21038
0.11737 0.12461 0.13083
0.4 I448 0.41956 0.42149 0,42242 0,42295 0 42348 0:42373
0.23014
0.15140 0.16205 0,17179 0.17585 0.17789 0.17905 0,18025 0,18082
0.11823 0.12913 0.13395
I4
I 4 12.I6701 18.5KO8 l2.3716 12.56732
P . .-
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0,08989 0.09477 0.09991 0.10947 0,11825 0.12641 0,13406 0,16703
3,14416 3. I4445 3,14477 3,14540 3.14604 3.14668 3.14731 3.15047
0,2393 I 0,24710 0.25019 0,25 I70 0.2j256 0.25343 0.25384 Bi, = 0,008 14 .. 6.28447 6;28461 6.28177 6.28509 6.2831 6.28573 6,28604 6.28764
0,21808
0.3 0.4 0.5
0,25876 0,29343 0.32403 0,44254 0.53010 0.60075 0.66026
3,156'9 3.16309 3.16935 3,17559 3.20638 3.23643 3.26591 3.29463
6,29081 6,29398 6.29716 6,30032 6.31610 6.33179 6,34737 6.36286
9.42986 9.43 198 9.4341 0 9.4362'2 9.44679 9,45733 9.46784 9.47832
0.6 0.7 0.8 0.9 ,1.0 1.5 2.0 3.0
0.71169 0.75698 0.79719 0.83340 0,86621 0.y937.1 1 .om1 1.19765
3.32565 3.34997 3.3766') 3,40253 3.427i8 3:544?l 3.64556 3.81 062
6.37823 6 ' 39349 6 140862 6.45363 6.43651 6 .SI054 6;57950 6.70509
9.48577 9.49918 9.50954 9.51 98; 9.5301 6 9.58091 9.6303; 9,i21S?
4.0
1.26973 1.31895 1.35465 I.38171 1.40290 1.41995 1 ,43395 1.47800
3.93696 4,03533 4. I I336 4.17637 4.25808 4.271 16 4,30151 4,427 19
6.8151 I 6.81C68 6.99312 7,06509 7,1815O 7,??!114 7.3'XI)J
9,81266 9.89352 9.96744 10;03463 IO.09S6 IO. 150% 10.20100 10,390S
1.50121 1.52584 1.53758
4.49318 4.56319 4,59961
7.1Wl3 7.60670 7.C6.767
10.51340 10.65505 10,73414
PI 1.5450'3 1.55013 1.55649 1,56033
Ir, 4.62194 4,63698 4.65597 4,66746
R 7.70117 7.72694 7.75833 7.77739 BI, = 0.008
10,783SI 10,81792 10,85137 10,88786
A, 0,01236 o , i i i 18
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Aa 0.00100
0.00020
0,00303
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BI. 0.0M)I 0.001 0.002 0.004 0.006 0.008 0.01 0.02 ~
0.04 0.06
0.08
0.1
0.2
5.0 6.0 7 .O 8.0 9.0
40.0 15.0 20.0
30.0 40.0
i.1273
9.4231 9,42573 9.42583 9.42605 9.42626 9.42647 9.42668 9.m4
0.07631 0.0"3 0.OM18 0.10i23
0.13614
0.l37ss 0,13939
O.140lI
O.Oi?.j4
0.0.58w 0.0622
0,0793 0.09314
O.lOl52 0.1%83 O.lO3i6 0. I 1 I4.5 0.11354 0.11411 k
12.56748 12.5E64 l8.557SJ 12,56560
13.51"51
ls.?.WIl
l6,.5SS I6,-W? '3-
13.WO
l6.bSYI
PI €3,86720 13.90993 13.96191 13.99855
16,95235 17,00308 17.0G902 17,10376
81, = 0,008 Bi, 50.0
60.0 80.0
100.0
BL 0,oOol 0.001 0.002 0.004
0.006 0,008 0.01 0.02 0.04
0.06 0.08 0. I
0.2 0.3 0.4 0.5
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o.min
o.oooo4 0. 000u9 o:wo13
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0.00003 0.00016
0.~3437 ,-. . 0,88593 0.91 546 0.933 I7 0,98520 I ,01 I43 1,03066 I.O I652
0.01578 O.OIQ61 0,038Mi 0.03512 0.07 I74
0,00502 0,009V 0.01 483
0.00224 0.00417 0.00668
0,08710
0,02132
0;00888 0.01lO5
0.10154
0.028').1 0,03317 0.03792 0.04229 0.01657
1,06030 1,07258 1,08369 1,09383 1.10314 1,14023 1 16630
4.0 5.0
0.00799 0,01191
O.Il5l5
0:oooio O.O(M50 0,00101 0.00202 0: Do302
o .nolo2
n,oigm
3319937
0,12796 0.I4004 0, I 5142 0.19960 0.23639 0.28779
0 . I1538
1,21650 1.23041 1,23834
0,32111 0.34386 0.36004
0.13958 0,15871 0,173PO
O.OfiSi1
0.0818:,
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o.ono81 0.00111 0.00161 0.00201 O.cQ402
0.00020
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0.00000 0.00001 0,00002
0.33311 0.42810 0,49933 0.55475 0,71%3
0.6 0.7 0.8 0.9 I .o I .5 2.0 3.0
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62
0.20001
I 4
o;miS 0.00015 0.o0o90 0.00135
o:ooiSo
0,01321 0.01 5.35 0.01747 0.01958
0 ,O? 166 0.03178 0.04137 0.05891 0,07428 0.08761
0.09908
0,00050 0.00076 0;00101 0 .OO I26 0.00252 0.00378 0.00502 0;00627
0,00750 0.00873 0.OOTrPG 0:01118
0,00002 0.0000G
0.00032 0.00019 n.000~5 0.00081 0,001G2 0.00?42
0,00322 0,00402 O,OD48? O.OO,iFZ 0,00611
0.00720
0;o I239 0,01834
0,03506
0.01 570 0,02307
0.01514 0.05133 0,06264
0,02034 0.03658 0.04268
0.W412
7.0
1.25831
U.37lW 0.38r)83 0,38770 0.39310 0.40808
0.I8604 0.1'1581 0,20381 o.210~ 0.23013
0,10893 0.11737 0.12461 o.i.aa3 0.15140
1,26132 1,26321 1,26394 1.26430 1.26450 1,26471 1,26481
0.41440 0.41948 0,42141 0.42235 0,42287 0,42340 0,42365
0,23930 0.24709 0,25017 0,25169 0,25254 0.25341 0.23382
0.16204 0,17178 0.17581 0.17788 0.17904 0.18024
1,24683
8.0
1.24778
9.0 10.0 15.0
I.25072 1.252%
20.0 30.0 40.0
50.0 60.0 80.0 100.0
91s o.Oo01 0.001 0.002 0.004
0.006
0,008 0.01 0.02
0.04
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0.2 0.3 0.4
0.5
0.6 0.7
PI
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0.10034 0.10474 0.10942 0,11822 0.12fi39 Oil3406 0.I4131 0.17292
3,1;480 3, I4509 3,14540 3.14604 3;146fi8 3.14731 3.14794 3.151 I I
0,22265
3,15742 3,16.371 3.lGWJ 3.li65I 3.20593 3.23701
0.2fi265 O.?%A'1
0,18081
81, = 0,Ol 14 fi, 28179 fi ,28 I93
6.28i09
0.327 I8 0,44493 0.5321 .I 0.fimI ~.zfifi:n 0.Gfi I QI 3,29221
0,71334 0,75850 0.79872 0,83489 0.86766 0.9951 I I .om3
3.32322 3.35053 3,37715 3.40'308 3.42872 3,54472 3.61605
fi.37s;ii
1.27lOl I , 32022 1.35592 I .38298 1.40&17 1.42122 I , 43522 I ,47926
3.93741 4:07577 4, I I380 4.17fi80 4,22852 4.27158 4,30794 4.427fi2
fi. 81578 fi, 910% 6,99.368
1.50247 1,52651 1.53884 1,51635 1.55139 1,55775 1.56159
4.49360 4,563fi I
PI
0,OTOII 0,07681 o.n82i8
o.n88ii 0.10723
0.01833 0.05354 o,om3 o,o(i?71 0.07953
0.11823
O.OQOI4
0,12912
0,10152 0,10689
0,13395 0.13644 0,13788 0.13939 0,14011
0.1097G 0,11145
0,11334 0.11411
Pr
9.42581 9,42594 9,42605 9.41628 9:42G47 9.42668 !I, 42690 9,427s
12,567I7 12,56724 12.56732 12,56748 I2.56T64 IZJG780 12.SGi9G 12,56876
9,430n8 9,43220 9.43431 9.13643 9.44700
I!?, 57352 12.S75 1 I
12.57034 12.57194
12.58305 1 2, 5 o m I?,5%QO 12, G(X80
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15.70860 IS,iOR%
15.70872 15,7@885 15,70898 15.70911 IS, 70924 15.iOP87 15.71114 15.71242 I 6.7 1366 l5.7l.lQri IS ,T?l3l 15,2767 I 5,73 10I I5 * 7.1035
fi.30779 (i. i
nm
6.42393 1;. 43881 fi.51 I 1 1 fi:57?79
3.0 4.0 5.0 6.0 7.0 8.0 9.0
10.0 15.0 20.0
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4.67740 4.fi563r)
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7.06535 7.12759 7,18186 7.22940 7 ;387 i 8 7 49fifi9 7:60';!%
7.Gt593 7,7024'3 7,72719 7.75&8 7.77764
Bia = 0.01
Bid 0,0001 0.001 0.002 0.004 0,M)fi 0,008 0.01
0.02 0.04 0.06 0.08 0.1 0.2 0.3 0.4
0:
4.0
5.0 6.0
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0.00992 0:09099
0: I6672 0,28556 0,37469 0.44380 0.49917 0.%551 0.8M)20 0,85962
0,89398 0.91694 0.97438 1.00337 1.02405 1.04080
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0. ooonz o.on020 0.00040 o.ono8i
o.oni2i
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o.ooo?Q o .onox
0,00010
0.00401
0.001Oi
0.007218 0,01190 0.01577 0,019m
0.03804 0.05539 0.07 I70 0,08705
1.05517 1 .OG788 1,07932 1,08971 I.05922 I , I3693 l.IM31 I * 19%9
0,10149 0.11509 O.I?7!lO 0.13997 0.15136 0.19952 0.23630 0,28771
1,21598 I .22802 I , 235%
0,3210'2 0.34378 0,35995
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0,00102 0 .a0509 0.00097 0.01483
0.0171 11.00224
o. n o w
O.Ol9fil
0.02432
0,028'33 0,09347 o ,03792 0,04528 0.046.5R 0.06h70 0,0843
0.I i537 0,I3067 0.158iO
0.17388
0.09 147 O.MW 0.rx)M3
0.01 in5
O.WJ750 0.00873 O.oOS9ii 0.011 I S 0 .o 12% 0.01834 0.02JI2 0.035ofi 0.04514 0.05432 o.oi5i4
63
7.0 8.0 9.0 10.0 15.0
1.24151 1.24550 1,248 17 1.25073 1,25675
20.0 30.0 40.0 50.0 60.0 80.0 100,o
1,25919 1,2fil12 1.26186 1.2fi223 1 ,26244 1 ,2fi2tili
BII
o.ooo1 0.001 0,002 0.004 0.006 0,008 0.01
0.02 0.04
0.06 0.08 0.1
0.2 0.3 0.4 0.5
1,26291;
U'
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14 3 14797 3:14826 3 , I4857 3.14921 3.14981 3,15047 3.15111 3. I5427
1,244 I4 1.28121 3.31353 0.34246 0 45662 0:54222 0.61176 0.67054
3. IM151 3.16685 3.173 10 3.17932 3.21004 3,24009 3,26945 3.29811
6.28638 6.28652 6.28668 6.28700 6.28732 6:28764 6,28796 6,28954 6.29272 6 29589 6129906 6,30222 6.31799 6.33367 6,34925 6.36472
0.72146 0,76531 0,80629 0 84227 0:87489 1 00189 1:09011 1,20535
3.32607 3.35335 3.37992 3.40581 3.43102 3.54728 3.64851 3.81341
6.38008 6.39533 6.41 045 6.42545 6.44033 6,51263 6,58124 6.70678
127736 1'32654 1:36222 1.38928 1,41046 1.42751 1.44151 I , 48555
3,93966 4.03798 4.11597 4,17896 4.23057 4,27373 4,31007 4.42975
6.81676 6.9 I230 6.99502 7.06667 7.12890 7,18316 7.2370 7.39846
1,50876 1,53280 1.54514 1,55264 I .55768 1.56104 1.56788
4,49572 4,56573 4,60218 4.62448 4,63953
7,49796 7.60824 7.66721 7170370 7172846 7,75986 7,77892
4.65sj2
4,67000
BI,
Bil 0.0001
0.001 0.002 0.004 0.008 0,008
0.01
0.02 0.04 0.06 0.08 0.1 0.2
0.3 0.4 0.5
A1 0.00499 0 ,O1774 0.09107 0,16677 0.23070 0.28541 0.33278 0.49834 0.65442 0,74834 0.80028 0.83566 0.92374 0,96501 0,99226 1,01311 1.03028 1,01501 1.05798 1,05959 1.09336 I 12071 1:14858 1.18319
64
AI 0.00000 0,00005 0,0001L 0,00020 0.00030 0.00040 0.00050 0,00101
0.00796
o.oomo2
0.01187 0 .O I573 0,01954 0.03793 0,05524 0.07151 0.08583
0,00302 0.00lo2 0,00502 0,00996 0.0 I482 0.01960 0,02430
0.10124
0,02891 0,03314 0,03789 0.04225 0,04653 0,06665 0.08174 0, I1530
0,12760 0.I3965 0.15102 0.19913 0.23589 0.28707
I4 12,56796 12.56804 12.56812 12.56828 12,56814 12.56860 12.56876
12,56955
14
15,70924 15.70!3?0 15.70936 15.70949 15,70962 15,70974 15.70987 15.71030
9.43114 9,43326 9.43537 9'43749 9:4k306 9.45860 9,46910 9.47958 9.49002 9:500i3 9,51080 9.52112 9.53140 9,58215 9,63159 9.72602
12.57114 12.57273 12,57432
9.81384 9.8969 9;96&9 IO,0358I
12.85927 12,93672 13.00030 13,05992 13. Ilj60 13.16746 13,21564 13.40919
15.95486 16.01188
13.51340 13.70996 13.80626 13,85804 13.91078 13.96577 13,99950
36,58756 I6.7i022
10.09689
IO. I5206 I O ,202 I3
10.39163 10,51350
IO ,65614 10.73523 10.78 I98
IO,81902 l0,%2.l6 10,88395
12,57591
12,58385 12,59177 12.59969 12.60759 12,61548 12,62334 12,63120 12.63904 12,64686 12.68564 12.723G 12.79818
15.71 178 35.71XI5 I 5 71432 15:7159 35,72195 15,72830 15,7365 15,74098
15.74731 15.75363 35.96995
15,76625 I5.77254 15.&'J386 15.83486 15.89575
16.CnX61 16.11893
16.16866 16.21587 16.26055 16,44855
16.80050
16.9304 17.00378 17,06971 17.1 1046
= 0.02
-A. o.oocQ2 O.OcQ20 0,oOOK) 0,00089 0,00120 0.00161 0,00201 0.00400
0. I I482
9 , i2fi90 9.42700 9.4271 I 9.42732 9.42753 9.42774 9,42796 9,42902
-A4
o,ooooo O,oooO2 0.00004 0,00009 O.OW13
4;' 0.00000
o.oooo1
0.m2
O.oMM5
0,00022 0.00045
0.0ooo8 0.00010 0.00013 0,00025
0,000w 0.00 I35 0 .OO I79 0.00224 0,00447 0,00668 0.00887 0,01105
0,00050 0.03076 0.00101 0,00126 0.00252 0 io0377 0,00502 0,00626
0.01321 0,01535 0,01747 0.01957 0,03165 0.03177
0,00750 0.00873 o;oow5 0.01117 0 .O I239 0.01831 0.02411 0,03505
0,00018
0,04135
0.05893
0.0003I! o.oOO19
O.ooo65 0.00081
0.00162
0.@3247 0,00325 0,00402 0.00483 0.00561 0.00641 0.00720 0.00i99 0.011@ 0.0 I570
0.02307
I-
0.32058 0.34334 0,35952 0.37138 0.38032 0.38720 0,39260 0,40759
4.0 5.0 6.0 7.0 8.0 9.0 10.0 15.0
0.13949 0.15861 0,17380 0.18591
0,19574 0.20371 0.21025 0.23002
1.24837 1.2377 1.25159 1.25200 I .z5225 1.25251 1.2526i
0.41 392 0.41903 0.42034 0.42 I83 0,42240 0.42293 0.42318
0.OH)I
0,19833
0.001 0.002 O.MI 0.006 0.098 0.01
0.20121
0;oZ
0.2l1l.L
3.15 430 3.15459 3.15490 3,15553 3.15617 3.15679 3.15742 3.16057
0.04 0.06 0.08 0.1 0.2 0.3 0.4
0.28191 0.31 476 0.34113 0.37051 0,47872 0.55167 0,62931 0,68717
3.16385 3.17310 3, I79 33 3. I8552 3.21613 3.22607 3.27532 3,30389
6,29583 6.29935 6.3122
0.73729 0;7815j
20.0 30.0 40.0 50.0 60.0 80.0
n00.o
0.239 19 0,2698 0.2307 0.2.513
0;25iii 0,25331 0.253'12
I4
0.5 0.6 9.7
0.23371 0.20359
0.21340
0.21818 0.22285
0.8
0,82108
0.9 I .o 1.5
0,85370
2.0
0.83301 0.0 I 5?0 1.10301
20.0
3.0 40.0 50;0
60.0 m.0
-loO.O
O.ooO1
0.001 0.002 0.004
1.52118 1.54523 1,55755 I .5ijOj 1.57010 1.575 IS 1,58130
0.00?51 0.02453 0.04786 0.09124
14 35.71051 15.71057 15.71063 15.7 1076 15.71088 15.71 IO1 15.71114 15.71178
9.49211 9.50252 9.51283 9.52320 9.53348 9.58 I20 9,61362 9.728Y2
12.61 705 12.62 I92
12.63277 12 16106I 12.648 I3 12.68720 12,72540 12.79971
15.74858 15.75490 15.7612 I I5 176752 15.77383 15.8051 I 15,83611 15.89700
6.81952 6.91500 6.99769 7,0593 I 7,13152 7,18577 7.23322 7.40102
9.81581 9.83653 9,97051 IO ,03772 in.o9so 10.153>4 IO ,20399 10.39318
I2,87080 12.938?3 13.03180 13.05141 13.1 1708 I 3 i6811 13.21710 13.4 IO63
15,95609 16.01311
4,23493 4.27832 4,31435 4.43399
15.0
0.10975 0,11144
0.I1323 0. I1410
6.3531 7 6.37810 6.41351 6.428io 6,44335 6.51559 6.59116 6,70333
1.4283
10.0
O,OIx)13 0 10151
0:10688
3.33177 3;i..8m 3,38i45 3.41127 3.43311 3.51239 3.61310 3.81 8% 3.91416 4.01239
I , 43992 I ,45372 I .49796
0,07952
6.33%) 6;152?6 6,36782
1,28383 1.31930 1.3745i
9.0
6.23113 6.29272
k 9,42902 9.42912 9,42923 9.42944 9,42965 9,42385 9.43008 9.43114
0,06271
15,71305 35.71432 15.7 1559 15.71687 15.72322 15.72958 15.73592 15.74223
1.21797
i:ioifo
6.29018 6.29050 6,27081
0,17174 0.I7580 0.17781 0,17900 0,18320 0.18378
0, I1821 0,12911 0. I3393 0.136+2 0,13783 0,13337 0.14009
0.04268 0.04832 0.0353 0.05832
12.57273 12.57432 12,57591 1 2.57750 12.585 13 12.593% 12.60127 12.60317
4.0
5.0
6.2877'0 6.28183
0.16201
0.03094 0.036;8
9.43326 9.43537 9.43749 9;43961 9.45016 9.16070 9.47 I2 I 9,48167
3.0
6.0 7.0 8;O
0.04513 0.05431 0.06263 0.07010 0.07679 0,08277 0.08810 0. IO721
4.1m7
4:i8128
4,49795 4.55937 4,5031 I 4 "2 416 i i 7 i 4.65271 4,67423
0.001H)2
o.noo2o 0.00040 0.00080
6.33538 6.32 I 1 4
7.5011? 7.61978 i .6 3775 7.702 I 7.72101 7.70240 7.78145
I 3 . i I531 10.6397
I J.737 15
I 1.7as)
1>.8?031
10.8 iI27 10,89176
;
11.5 I I83 13.71135 13.8)763
I 3,857 15
13.91219 13.95i I8 I4.03OE
0.00000 o.oooo5
O.Ooo00 0.00002
O.OooOO o.oo001
0,00010
O.oMM4
O.ooOo2
O.ooOO9
O.ooOo5
0.W20
16.06i83
l6.1201 I 16.16~6
16 -21708
16:G 175 16.41972
15.553'3 16.771 33 15.83lx l6,% P 3 l 17.03 1Q1 I :.070317.11 162
0.C"
o.oo001 0.00E O.OoiK13
Bb = e.04 61,
:0.01 % 0.02
0 04 0'06 0:MI 0.1 0.2 0.3 0.4 0.5 OS6 0,7 0.8
A, 0.13074 0,16687 o.20005 0.33221
--A, 0.00120
A3
0.00030
0.00160 0.00200 0.00398
O.OO010 0.00050
0,49668 0,59560 0.6621 4 0.71032 0.83714 0,89675 0.93452
0.00791 0.01180 0.0 156.1 0,01943 0.03772 0,03494 0,07114 0.08639
0,00201 0,00302 0.00402 0 ,0050 I 0.00994 0.01 480 0 .O I957 0,02426
0.98406
0,10074 0.11427 0,12701
0,02m7 0,03339 0.03781
0.96216
1.00228
1.01793
0.DoIOI
-A,
A5
-A*
0.00013 0.00018 0.0~22 O.WO15
0.00008 0.00010 0.00025
O.WO16
0.00090 0,00135 0.00179 0,00224 0,00446 O.M)667 0,00887 0.01104
0 .00050 0,00076 o.nnini 0.00126 0,00252 0.00377 0.00502 0.00626
0.00032 0,00049 0.00065 0 ,OOOBl 0.00162 0,00242 0,00322 0,00402
0.01320 0.01534 0,01746
o.on75o 0.00873 O.OO%l5
0.00641
o.ooo13
0.00fl05 0,OOM)F
o.oonoa
0.00482 0,00562
65
0.9 1.O 1.5 2.0 3.0
03164 1.01383 1.08916 I, 12036 1.l58C6
0,13902 0.15036 0.19835 0.23505 0.28539
0.04646 0.06657 0.08463 0,11517
4.0
1,17957 I , 19295 1.20183 I.20801 1.21248 1.2l583 1.21811 1.22536
0 ;3 I970 0.34246 0,25865 0.37052 0,37947 0,38535 0.391 76 0,40677
0.13934 0,15845 0,17363 0,18577 0.19556 0,20353 0,21008 0,22981
1.22826 1.23066 1.23163 1.23214 1,23244 1.23278 1,23296
0.41311 0.41 82 I 0.42015 0.42 109 0.42162 0.42215 0.42241
5.0 6.0 7.0 8.0 9.0 10.0 15.0
20.0 30.0 40.0
0.04219
0.01956 0,02164 0.03175 0.04133 0,05886
0,01117 0.01 238 0,01833 0,024410 0,03504
0.09900
0.07422 0,08753
0.045ll 0,05420 0.06?61
0,10881 0.11T28 0,12451 0,13073 0.15130
0.07677 0.08275 0.08507 0.10718
...~~
0.2391)2
O.lfil9-l
0.17168 0,17574 0.17778 0,17894 0.18014 0;18071
9.43114 9.43 124 9.43135 9.43 I56 9.43177 9.43198 9.43220 9.43326 9.43537 9.43749 9.4CM1 9.44 I72 9.45228 9.46281 9.47330 9,48377
O.OT008
0,11818 0,10908
BIi O.OO01
PI
P1
0.24274
0.001
0,24462
0,002
0,24670 0,25079 0.2548 I 0.25876 0,26265 .0,28121 0.31 476 0.34469 0.37 I87
0.2 0.3 0.4 0.5
0;49997 0,58023 0.64656 0.70321
3.16060 3,16089 3,16120 3,16183 3, I6245 3.16309 3, I6371 3.16685 3.17310 3.17933 3,18553 3.19170 3,22220 3,25203 3.29118 3,30965
0.24681 0,24990 0,25142 0.25227 0.2S314 0.25356 BI, = 0.06 PLS 6.29273 6.29288 6.29303 6,29335 6,29367 6.29398 6.29430 6.29589 6,29906 6,90222 6,30538 6,30854 6.32428 6.33993 6,35548 6.37092
0.6 0.9 1 .o I ,5 2.0 3.0
0,75261 0,79633 0.83544 0,87073 0.90280 1,02819 I , I1569 1.23033
3.33744 3,36455 .>.39097 3.41671 3,44178 3.55748 3,65829 3,82268
6,38625 6.40147 6,41657 6,43154 6.44639 6.5 1856 6.58707 6.71242
9.4942 I 9,50460 9.514% 9,52528 9,535.i: 9.58fi25 9.63566 9.73003
4.0 5.0
1,30213 1,35123
3.94854 4.04679
6,82227
13.87231 9.81777 ~ , E ! I ~ Y 12,93974
50.0 68.0
80.0
100.0
0.004
0.m 0,008
0.01 0.02 0.04 0.06 0.08
0.1
0.7 0.8
~
6.91771
BI,
-
PI
Pz
Pa
6.0 7.0 8,O 9.0 10.0 15.0
1,38688 1.41390 1,43509 1.45212 1.46612 1,51017
4,12468 4, I8760 4.23925 1.28229 4.31861 4.43822
7,00335 7,07195 7,13414 7.18837 7,23599 7,10359
20.0
1,53339 1.55744 1,56978 1,57729 1.58234 1.58869 1.59254
4.50419 4.57420 4.6 1064 4.63294 4,62798
7.50307 7.6113'3 7.67229 7,70879 7.73355 7.76 195 7,78100
4.66697
4.67816
PI 9.07213 10.01w2 io. io058 IO. 1.7582
in .?ox~fi IO ,39532
I O , .iI7 I6 IO .6.i!VD 10.i3897 I O , i8862 I O , 85'263 1fJ.S6fin'l
IO ,69258
12.571 I 4 12.57 I22 12.57 I20 12.571% 12.57162 I? .57 178 12.57194 12,57273 12 ,57439 i?,5i59I 12.57750
10.5iW9 12,58703
12.59495 l2.60%6 12.61 076 12.61864
12.62650 12,63435 10.61518 12 .ti4999 10.68677 10.i2695
12.60125
Pa
13,0330 13,oIj281, 13.11a55 13.liO)S 13,2163 13.41 207
13,5465'6 13.711'80 13,s 1109 13,87087 13,913fii 13,%%0 11,00233
BI, = 0.06
BL
o.ooo1 0,001 0,002 0.004
0.006 0,008 0.01
0.02 0.04 0.05 0.08
0,I 0.2 0,3 0.4
0.5
66
Ai 0,00168 0.01654 0.03252 0,06292 0.091 39 0,11812 0.14327 0,24955 0,39706 0,49503 0,56519 0.61818 0 76578 0;83789 0,88343 0.91 635
--A1
0,00002 0.03020
o.uooto
A3
0,00030 0,00005
0.00OlO
--A4
0.00000 0,00031 0.00001 0.00009
0.00079 0,00119 0.00159 0.00198 0.00386
0;00?20 0.03030 0.00010 0, on059 0.00101
0.03015
0,00785 0.01 173 0,01551 0,01931 0.03i5I O.Oj16 &
0.00?01 0.003'31
0.00090 0,00131
0,O)~OI
0.00179
0,00500
0.00?21 0 ,00416 0,00667 0.00385 0.01103
0,07076
0.085'31
O.OW13 0.00018 0,00022
0.00799 0.01 188 0.01570 0,02306 O.a3M)3 0.03657 0.04267 0,04831 0.05352 0.0583 I 0.06269 0.07951
0,09011 0.10150 0.10686 0.10973 0.11142 0,11321
0,11108 Pa
Pa
0.06
Bi,
30.0 40.0 50.0 60.0 80.0 100.0
0,13390 0.13639 0.13783 0,13934 0.14006
-0,00720
0.OOMx) 0.01001 0,00002 0 .00095
O.W'108 0,00010 0.00013 0.000?5 0,00050 0 ,003i6 0,00101 0 .oo I26 0.00252 0.00377 0 .o ,502 0,00526
15.71 I78 15.71184 15.71191 15.71204 15.71216 15.7 1229 15.71242 15.71205 15.71 432 15.71559 15.71G87 15.71814 15.72 149 15.73084 15.737 I8 15.74352 15.74955 15.75616 I5 ,iG247 I5 .i(id78 15.7i507 15, 8K37 15.83736 15.893'24
0.6 0.7
0.94205 0.96313 0,98100 0,99650
0.9 I .o
IO1015
I .5
1:05065 1.09365 1.13385
2.0 3.0
0,10324 0.11372 0.12512 0,13829 0.119~9 0,19757 0.231’3
0,28332
fl.02833
0.03335 0.03i78 0,01213 0.01610 0.0654s 0.0’3152
0.01319 0.01533 0.01714
0,0375’3 0.908-3
0,0195%
10,01117 0.01538 0,01813 0.02110 0.035’33
0,11503
0,02162 0,93173 0,01133 0.05332
10.0 15.0
,15655 ,17081 ,18025 ,18582 .I9159 ,19517 ,19793 .%I544
0.3183? 0.31159 0,35778 0.39935 0.37851 0.35550 0.39091 O.Wj95
0,13913 0,15823 0,17316 0.18559 0,19539 0.20336 0,?0790 0,22937
0.07117 0.08748 0.03875 0,10879 0,11722 0,12415 0.13037 0.13123
20.0 30.0
1.20862 1,21130
0,41230 0.41741 0.41933 0.42030 0,42093 0.42137 0.42163
0,23831 0.2133l 0.21973 0.25l2l 0.252IO 0.21997 0.25338
0,16183 0.17162 0.17539 0,17772 0.1783’3 0,18333
4.0 5.0
2; s:o
9.0
1.21242 1.21301 1.21337 1.21378 1.21100
50.0 60.0
80.0 100,o
0.00allj
O.n0:82 0.11lj62 0.01j:I 0.0)Yl 0.0139
0.011.;3 O.O13i? 0.02333
0.01510 0.Oi 1:s
O,OiOl? O.OSi5 O.tOP55
O,Oil’5? 0.070’l; 0.076i3
0,O:SX O.,)jiTI
O.OJ!-? 0.083li 0.lOilS
0.J533 0.05!33
fl.II’3li 0.12103 0,113’37 0.1163j
0.OU:O O.I,?I!S 0.IJG
0,13;50
0.IIIW 0,lljll O.IIW>
0.18035
0.13131 0.1 l0)i
P‘
Pl
0.1):018
0.10>.2
Bb = 0.08 PI
0.008 0.01 0.02
0,29343 0.29689 0.31353
3,16935 3.16998 3.17310
6,29716 6.29747 6,29906
9.43410 9.43431 9,43537
12.57336 12.57352 12.57432
0.04 0.06 0.08 0.1 0.2
3.17933 3.18553 3.19171 3.19786 3.22824 3,25796 3.28702 3.31540
6.30222 6.30538 6.30854 6,31170 6.32742 6.34306 6,35859 6,37402
9.43749 9.439661 9.44172 9 44387 9:45i3i 9.46491 9.47540 9.48587
12,57591 12,57750
0.5
0.34413 0.371 87 0.39736 0.42100 0.51991 0.59799 0.66297 0.7 1870
0.6 0.7
0,76743 0.81065
3,34309 3.37012 3,39646 3.42213 3.4471 4 3,56255 3.6631 7 3.82730
6.38934 6.40454 6.41962 6.43f58 6,44941 6.52152 6,58997
9.49630 9,50669 9.51 i o 4 9y.52736 gig3763 9, 5 a a n 9.63769
l2,6205! 12.62E07 I2.63592 12,61375 12,65157 12.69032
35.i5111 I5 .757-13 15.Tti374 I5.77004 I5.iX33 15.~$0762
6,7 1524
9.73201
12.72851 12.m2i9
l5.@3R62 15.69948
3,95312
6.82502 6,92041 7,00302 7.07458
9.81 974 9.90051 9,97435 IO .04 I52 IO, I0246 I O , I5769 10,20773 10,39716
12.87383 12.941 25 13,00478 13.oc437 13,12003 13.1718~ 13.22C02 13.4 1351
15.ssax I6 .O I5.3 16.OiU27 16. I2254 16.17?29
IO,5 I898
13.54768 13.7 I422 13.81051 13.87229 13.91E02 13;97001 14,00375
16.59107 16.ii370 lG.83108 16.956.5I Ii.OO725 17,073I8 17.11393
0.3 0.4
0,84938 0.88438 0.91620 1,04088
0.8 0.9
I .o I ,5 2.0
I , I2805
3.0
1.24246
4.0 5.0
1.31417 1,36324 1,39887 1.42590 1,44708 1,46412 1,47812 1.52217
4.12901 4;~gigo 4.14353 4,28655 4,32286 4.44246
7:i9097 7.23848 7,40615
1,54540 1.56946 1,58180 1.58932 1,59437 1.60073 1,60457
4.50842 4.57841 4.61485 4. F37 I 5 4:65220 4.67119 4.68268
7 , E0562 7.6 158: 7.67484 7,71133 7.78609 7.76749 7.78654
6,O
7.0 8.0 9.0 10.0 15.0
2::
44.0
4,05118
:
10,66161 10.74069 I O ,79044 IO.82447 10;80791 10,89439
12,57909
12.58067 12,58661
19.59653 12.60444 12.61234
15.71335
15.71XC5 15.71432 15.71559 lj.71687 15.71814 15.71941 1.5.72ji6 13. i3? I I
15.72815 15.74479
16.21148 16.264 I4
16.4j209
BI. = 0.08 BI.
&o:
0.001
A.
0.4
0.5
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As
0,00020
0.00040 0.00079 0.001 18 0.0018 0.00191 0,00393
0.m
0.3
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o.oooo2
1
0,004 0.006 0,008 0 or 0:oz 0.04 0.06 0.08 0.1 0.2
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0,33107 0,42389 0.49339 0.54758 0.70596 0.78650 0.83788 0.87493
0.000EO O.OOt24 0.00179
0.’03720
0,00224 0.00446 0.006f6 0.00885
O;Ol103
O.COOEO 0,00076 0.00101 O.COIZfi o.c02:2
0.003i7 0.00I02 O.CM26
67
0.6 0.7 0.8 0.9 1 .O 1.5 2.0
3.0 4.0
5.0: 6.0
0.09975 0.11317 0,12582 0, I3776 0 14503
O.SO370 0.92713 0,94686 0,96386 0.g876 1,03321 l.06833 1,11077 1.13475 1,14966 1,15956
0.02879
0,23338 0.28164 0.317% 0.34071 0,36ftO
0,13503 0.15813 0,17329
O:l5680
81. A,
7.0 8.0 9.0 10.0 15.0
1.18971 1,19265 1.1~90 1.19457 1,19498 I , 19.546 I , I9572
0.0001 0.001 0.002 0.004 0.006 0.008 0.01
0.02 0.04 0.06 0.08 0. I 0.2
0.3 0.4 0.5
4.0
10.0 15.0
O.OWJ2
0.l5117
0.10713
0.41149 0.416!1 0,4 I8 di 0.41951 0.4Xx)+ 0,42058 0.42084
0.278F6 0,24646 0.24955 0,2;10: 0,25I92 0.252280 0,2532 I
0,16182 0.171;6 0; 17362 0,17i66 O,liSt3?. 0.18005 0,18059
0.11812 0.12'02 0.13m 0;13633 0.137i8 O.I3!m 0.14001
3,17313 3.17311 3.1737 1 3 , I7434 3.17496 3,17559 3,17621 3.17932
6.29907 6,29922 6 29937 61299f.9 6,30000 6.30032 6.3W4 6.3Q222
9.43.38 9,43548 9,43558 9, 13590 9.43C00 9.43622 9,43643 9.43i-19
12.57433 I2.574U) 12.57448 12,57464 12.37180 12.57495 12.351 I 12.j759 I
3. I8552
6,30138 6.30854 6.31170 6,31485 6, SOL6 6.34618 6.361 69
9.43561 9,14172 9,44353 9.4K95 9,45650 9.46702 9,47751 9.48i96
13 3 7 E O
3.95758 4.05556 4.13334 4.19619 4.24780 4;2kel 4,32711 4.44€68
1.45856 1.47591 1.48991 1.%98
4.51263 4.5862
A, 0,001 0.002 0:004
0:m 0,008 0.01
0.M
68
0.00101 0.01005 0.0 I989 0.03896 0.05725 0.07481 0.09169 0.16713
-A
Ai 0.1ai-12
O.IcL521
6,37711
9.51913 9,52943 9,53970 9,5903.5 9.63972 9.i3401
6.82777 6.92311
9.83171 9;90245
7.0038
9."
7.07722 7. 1 3 3 7 7.1Sii 7.24107 7.40871
10,0*342 10,10435 IO. I5957 10.20059
7.50516 7.61349 7.6738 7.71 .xi?
lO.52081 10.66343 10.74251 IO.79225 10,83629 IO,56T3 IO ,8%12
O*OPO?O 0.001% 0.00391
;
6.45244 6,52448 6,59289 6.71%
0,00010
o;oois?
-Ab
9,4su39 9, t o 8 7
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0:0011u
0.001~?0 o;oCx~40
o.Mx)..o
0,00100
O.CO482 O.CCJAI [!.&1*:4l
0.007~0 0.107C8 0.01158 0.01:6!1 0.02C05
0,O:OOO 0.0.^6:5 0.04265
0.09
0.13061
1.32598
1.41066
0.04:08 O.074?6 O,C62E6
0,20972 0.2294c
3,34873 3.37567 3.401 94 3.42754 3,45248 3,56762 3,66804 '3.83191
I .43768
8.0 9.0
O,O?EOl
0,20318
0.78180 0,82457 0,86294 0.89765 0.92925 I .OS27 I . 14016 I .25433
6.0 7.0
0,0?8CO
0.01%: O.F.?.IO!,
A' 0,07603 0.07672 0,08270
3.19170 3. I9786 3,20399 3.23426 3.2638'3 3,29283 3.321 i2
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7
0,07413 0.08744
O,CO74!, o.or~2 0.00CF5 0,OlI Ifi 0.012:7
0.10813 0.11716 0 12439
-A i 0,36880 0.37775 0.38465 0,39017 0.40512
0.37081 0.396% 0.42100 0.44352 0.53887 0,61502 0.67878 0,73367
5.0
0.01318 o.o1:32 0.01743 0.01P53 0.02161 0,031iO 0,04128 0,05878
0.03xo
0.03773 0,04207 0.04633 0,06639 0.08141 0.11490
'
12,57909 12.5867 12,:E216 12,sco I9 12.5C811
l2.60t 02 12.61391 1?.621i9 1?.6?%i l2,GT50 12,64532 l?,653 I4 12,691 99 12.73006 12,80432
12,87335 12.94275 I3,0oCj?8 13.065% 13.12130 13.173.E 13.22 I 4 8 13,41405 13.5401 I 13,71~'64 13.81 I?? 13.87370 I3,O I ti4 4 13.97 I42 14,130516
-A.
O.OYN3 0.1014,. 0,15-'?.3 0, 19,:c. 0.1113'. 0.11313 0, II
Bb=O.l
BL 0.04 0.06
0.08 0.1 0.2
0.3 0.4 O S
.0.6 0.7 0.8 0.9 3 .o 1.5 230 3.0
-A.
A.
-A.
An 0.28413 0.37091 0.43806 0.49175 0,65519 0.74132 0,79703 0.83730
O’OIW9
0,8i9-3 0.8)39) 0,91j l 3 0,93343 0,919!1 I.01730
0,0932i 0,11252 0.12521 0,13713 0.1 1817 0,19311
1,01125
0,212ji
0,05!33
0,01317 O.Oli31 0.01742 0.01952 O.O?ljl 0.03168 0,01125
1.08374
0.28373
0.11t76
0.033’5
0100499 0;00990
0,00446
0.O 1473 0.0 I948
0.00666
0.02416 0.02371 0.0312i 0.03137 0,012~1
0.01i17 O.Oii33
A.
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0;0008l 0.00161
0,00885 0,01102 0.0378 0.01879 0,00)9t 0.01116 0.01237 0,01331 0,01108 0.03500
0,03182 0,01561 0,03311
0,03720 0.03798 0.01187
0.01569 0.02304
4.0 3.0 6.0
7.0 .8.0
9.0 10.0 15.0 20’o 30.0 40.0
60.0 83.0 100,(1
0:lOilo 1.1713l 1.17468 1.17605 1,17679 1.17725 1.17779 1,17818
’:~ +!OS7
U.41331 0.41776 0.41872 0.41925 0,41933 0.42035
0,23818 0.21629 0,21838 0,23035 0,25175 0.25233 0,2;331
0,16175 0,17149 0,17655
0.17759 0.17875 0.17995 0,18353
0,11809 0,12899 0.13371 0,13630 0,13774 0.13925 0,13938
0,03007 0,10145 0.10682 0.10968 0,11137 0.11316 0,11403
‘0.0331 0.001 0,ooz 0.001 0.03s
0,008 0.01 0.02 0.04 0.0s 0.08 0.1
0.2 0.3 0.4 3,3765I 3,40315 3,42905 3.45 $30 3,178)l 3,59271 3,69215 3,85177
0.6 0.7 0.8
0.9 I .o I .5 2.0 3.0 4.0 5.0
6.40’74 6.42287 6 . 1378;
6,45275 6,46750 6.53924 6,60737 6,73209
B.0
12,88294 I2 ,‘I5027 I3 .O I374 13.073% 13.12830
9.0 10.0
1 1.22877
6.0 7 .O
11,18064
1,59028 1.61361 1.63777
1.65018 1,65773 1.66280 1.66919 1.67305
4.46764 4.53356 4.60354 4,63998
4,66228 4.67732 4.69631 4.70780
69
Bb = 0.2 Bit
-A. 0.00002
o.ooo1 0.00l
0,008 0.01 0.02
0.04 0.06
0.08 0. I 0.2 0:3 0;i
O S 0.6 0.7
0.8 0.9 1 .o 1.5 2 .o 3.0 4.0 5.0 6.0 7.0
8.0 9.0 10.0 45.0 20.0 30.0 40.0 50.0
60.0 "0 100.0
O.ooO1 0.001
0.002 0.004 0.006 0,008 0.01
0.02 0.04
0.06 0.08 0. I RI --,
0,16743 0.22973 0,28238 0.32754 0.48367 0.57800 0.64282 0.69107
0,56167 0,58023 0,59799 0,61502
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0.00298 0,00397 0.00195 0 , W982 0,OI462 0.01934 0.02398
O.Orw)32 0.00018
0 .O I492 0.01854 0.03606 0,05259 0.06819 0.08292
0.00087 0 .OO 134 O.00IT8
O.Ol125
3.23412 3.23439 3.23469 3.23529 3.23589 3.23649 3.23709 3.2W9 3.24607 3.25'203 3.25796 3.26388
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0.02853 0,03Y)I 0.03740 0.01171 0,01594 0.0581
0.08375 O.lIW7 0.13810 0,15713 0.172~ 0.18136 0 19413 0:20209 0.20853 0,22839 0.23757 0.24538 0.24848
0.25000 0.2383 0,25174 0.95216
6.33055 6.33069 6.33085 6.33116 6.33147 6,33179 6.33210 6.33367 6.33680 6.33993 6,34306 6.34618
BI.
= 0.3 .-
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0.001M.5
o.0m j o.oooo3
0:00lOl
O.ooo6j
0.00126
0:0008l 0.00161
0.0'3?'23 0.00444 O,CO664 0,00882
o.mjo1
0.01098
0,00624
0.00251 0.03X6
O.Ol34
0.00481 0.03j61 0.00t;ffl O.W'l9 0.00797
O.OlS-23
0,01186
0.02Y13
0.01567 0.0230"
0.01313
O.WJi48
0.013?5
0,00370 O.OOW2 0.01 I14
0,01736 0.01945 0.02152 0.03158 0.04ll2 0.05857 0.07387 0,09714
o.wm o.ioaw
0.03494
O.OH?3
0.0397 0.0XiO O.OV% ~ ~ . ~ % Q W 0.04S23 '3Yd3 0,033.13 ',de54 0.05821 ).*!JTS O.Oe59 O.l&?5 0.07938 0,05115 0 . ~ 4 4
O.Ilti81 0.124003 0,13024 0.15078 0.16142 0.17116 0,175'2'2 O.li;?6 0,17813 0,17963
0.13759 0.13?10
0.1803
0.13951
?,4:650
O.WJ242 0.00392 0,00102
0.II;pI 0.l3.3~ 0.I3.3~5
0.13.;I5
1'2.5!U19
9.4.56NJ
12.5pIE7
9.45~0 9.45691 9.4571'2 9,4533 9,45754 ?.45WJ
I2.5WS l2.5W;l l2.5?.+? 12,5WLS I2,S!V0!3 10,5017~ I'2.5tL3;
O.O&X¶ 0,10136 0.10-73 0.109r;O 0 , l I l ~ 0,11308 0.1135
15,72704 15.;?.10 15.2716 I5,;?73 15.7?7.1? 15.7234 15.7Tb7
I5.72fM
0.4681
12.SO:Qi 12.SP6.3
9.46iO"
19.Sll
I5,~00S8 Ij,73?*'sI 15.73211 15.73338
I2162I8 I 12.62968 12.63754 12.64539 12,6532I 12.66102
15.73972 15.74606 15,75239 15.75871 15.76503 15,77133 15.77763 15.78392
9.4CQTO 9.4d':SI
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3.32173 3.34975 3.377 I7 3.40397 3,430 I4 3.45568 3.48060
€;54528
3.50491 3.61741 3.71590 3.87733 4.00162 4.09878 4, I7606 4.23859
6.48248 6.55392 6.62178 6,74606 6,855 12 6,94997 7.032 I8 7.10345
9.56036 9.61080 9.65997 9.75391 9,84130 9.92180 9.99540 10.06239
12,55778 13.02119 13.08066
15.75020 15.82 I44 15.83239 15.91315 15,972I3 16.02904 16,08367 16.13586
1,56663 1,58381 1.59793 1,64241 1,66588 1.69019 1,70265 1,71025
4.28998 4;33283 4.36903 4,48838 4.55427 4.62423 4.66067 4.68298
7.16540 7.21945 7.26683 7.43418 7,53354 7,64372 7.70267 7,73916
IO. 12318 10.17828 10.22821 in:41 734 IO .53905 10.68159 10,76065 IO,81039
13.13622 13,18796 13.23605 13142929 .., ~.~ 13.56335 13,72080 13.82606 13.88783
16.1855S 16.93268 16.27729 16.46505 lfi.60394 16,78548 16.89683 16,96925
1.71536 1.72179 1,72567
4,69801 4.71700 4.72849
7.76392 7.79531 7.81436
10.84441 10.88785 10.91434
13.93056 13.9E54 14.01927
17,01997 17.08590 17.12665
0,86122 0.90530 0.94497 0,98094 1.01375
I .o
1.04382
0.81180
1.5 2.0
3.0 4-p
70
0.00199
0 . ~ 4 0
0 . W 0.00003
9.47752 9.48799 9.49844 9,50885 9.51923 9.52957 9.53987 9.55014
0.4 0.5 0.6 0.7 0.8 0.9.
60.0 80.0 100.0
0.00016
0.00754
O.OOO30
6.36173 6,37720 6,39257 6,40784 6.42300 6.43805 6,45298 6,46780
0.3
5.0 6.0 7.0
O.OL-045
0.40654 0.41173 0.41373 0.41470 0.41524 0,41581 0.41607
0.69118 0,75576
0.2
0.00100
1,08952 1.09367 1.09553 1.09656
0.52190 0,52284 0.52358 0,52596 0.52803 0,53010 0.53214 0.54222
o.oooo1
0,03050
0.31259 0.33538 0.35161 0.36355 0,37251 0,37948 0.38493 0,40010
1.098M) 1,09845
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o.oooo9 0.00313 0.00018 0.m22
1.02106 1.03916 1.05126 1.05978 1.06604 1.07080 1.07450 1.08488
1,09722
As
O.oooO2 0.00004
0.94024 0,99201
0.89667
A4
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0,09681 0.10993 0.12172 0,13103 0,14503 0,19216 0.22838 0.27935
0.72897 0.75983 0,78583 0,80894 0.62737
-
o,oooco
0.00035 0.00010
o.MM19 0,00038 0.00076 0.001 14 0.00152 0.00190 0.00379
0.002 0.004 0.006
Aa
o.ooooo
12.66882 12,70747 12,74555 12.81964
12.89052
BI, = 0.3 A, 0,00035 0.00347 0.00691 0.0 I37 I 0,02039 0,02697 0.03345 0.06433 0.04 0.06 0.08 0.1 0.2
0.3 0.4 0.5 0.6 0.7
0 , I1957
0.16751 0,20973 0.24711 0.38533 0.47575 0.54074 0.59044 0,63015 0.66293 0.69056 0.71436 0.73514 O.gO989 0.85698 0.91298
4.0 5.0 6.0 7.0 8.0 9.0 10.0 15.0
0.94448 O.!X418 0,97742 0,98678 0,99369
20.0
I.02003 1.02486
30.0
0.W895 1.00307 1.01473
-At O.oooO2 O.oo018 0,00037 0,00074 0.00111 0.00148 0.00185 O.M)368 0.00732 0.0 IO93 0.01449 0.01801 0.0:506 0,05118 0.06641 0.08082 0,09443 0.10730 0 . I I947 0.13008 0,14187 0.18834 0.22423 0.27494 0.30811
0,330W 0,347 I5 0.35911 0.36814 0,3751 I 0,38018 0.39585 0,40234 0.40759
AS
0.00000 0,00005 0,Mx)IO 0.00020
0,00030 0.00040 0.00049
0.00099 0.00197
0.00295 0,00393 0.00491 0 , 00975 0.01451 0,01919 0,0237 9 0.02831 0,03276 0.03717 0;0414;
-Ad
o.mo00 O.oooO2 0.00004 0.00009 0:00013
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0.mI 0.00002
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0.00022 0.00044
0.00005 0.00008 0.00010 O.WOI3 0,00025
O.OooO8 0,00016
O.oo089 0,00133 0,00178
0.000EO
0.00012
0,00075 0.001w
0.000~ 18
0:00Ols
0,00222
0,00005 0.00006
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0,00442 0,00661 0,00879 0,01094
0.01308
a, 0 I520 0.01730 0 .O I938 0.02 I45 0.03 I47 0,04098 0,05838 0,07365 0.08689
0,04560 0,06538 0,08319 0.1 I336 0.13730 0.15627 0.17136 0.1835 0, I9020 0.20115 0,20769 0.22744
0. ioai0 0.1 I650 0.123i2 0. I2992 0. I5044
0,2.3663 0,24445
0,17082
o.o~a30
0.00746 0.00868
O.CO481
0,009~
0.00639
0,01111 0.01232 0.01824 0,0?3W 0.03487
0.M718 O.COi% o.oii84
0,044FO 0.05405 0.06233 0,0fi!T8
0,07645 0.0&041 0.087T2 0. IWXO
0.00560
0,@15(i5 0.@??99 0.02994
0.0346 0.04?54 0,01817 O,OT:\,?:
0,05815 0.01;?5?
0.07030
0,16108
BI, = 0.3 61, 40.0 50.0
68.0
80.0
100.0
A, I .M706 I ,021Uo 1.02~309 I.03004 I .om0
-A, 0.40'352 0.41061 0.41 117 0.41175 0.4 I203
BI, = 0.4 Ps
Bit
o.ooo1 0.001 0.002
0.004 0.006
0.008
0.01
0.59334 0.59419 0,59514 0.59702 0.59888 0:60075 0 60261
0.02
0:61 If6
0.04 0.06 0.08 0. I
0.629jl 0,64656 0,66297 om7a 0.7503U 0.81 180 0.86359 0.9 I352
0.2
0;3 0.4 0.5 0.6 0.7 0.8 0.9 1 ,o 1.5 2.0 3.0 4.0
5.0 6.0 7.0 8.0 9.0
10.0
15.0
20.0 30.0 40.0 50.0 m.0 80.0 100.0
A, 0.2475fi 0,24908 0.24 904 0,25082 0,25124
0.95641 0.99318 I .Om44 1.06270
1,09233 I21077 1'2939 I :40$54 I , 48'328 I .52968 1.56567 1,59304 1.61452 I.63lE2 1.64604 1.69381 1.71449 1.73898 1.75156 1.75920 1 ;76473 I .77082 1.77474
3,26357 3,26384 3.26414 3.26472 3.26532 3,26591 3.26KO 3,26945 3.27532 3.281 18 3.28702 3.25283 3.32 I58 3.34975 3.37736 3.40437 3,43079 3.66FO 3.48181 3,50642 3,53043 3.64171 3.73930 3.89956 4.023 I9 4.1 I997 4.19701
4,25938 4.31068 4.35347 4.38952 4.50886 4.57473 4.64469 4.68113 4.70313 4.71818 4,73747 4.74896
-A. 0.17488 0.17fi92 0.17809 0,17529 0.17986
A.
O.lm4
15.77134 15,i i i 6 4 15,78394 l5.zW22 15.nW9 15,B?TII 15,8%63 15.91935 15.97629 16.03516 I6 ,OS75 16.I4l9l 16,19156 16.23867 16.2836 16.4;093
9.46701 9.46711 9.46721 9.46742 9.46763 9.46i8-l 9.46806 9.46910 9.47121 9.47330 9.47540 9:4775t 9148798 9.498-l-1 9,50886 9.51925
6.43816 6.45314 6.4fi80I 6.48275 6149738 .... fi.56651 6.63611 6.75995
9.52950
12.64.540 12.65324
9.55021 9,56045 9,57066 9.62W9 9.6T007 9.76382
12.66105 12.6688j 12.67664 12.71524 12.75327 12.82729 1?.89809
6.86869
6.(163.10 7.04533 7. I I648 7.17833 7.23230 7.27962 7.44683 7.54614 7.65630 7.71523 7.75172 7 , TIM8 7.m788 7.82693
O.lOO5l O,ll12@ O.Il2W 0.113M
!4
6,361.; 6.34628 6.34644 R.34fi76 6.34706 6.34737 6.347fi9 6.34525 6.35236 6.35548 6.35859 6.36169 6,37717 6.39257 6.40787 6.42306
~~
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0.13?A9 0.13;'O 0.13747 0.1?804 0,13956
9.53992
9.85107 9.93143 10.00494 10.07181 IO,13255 IO. 18760 10.23749 10.42H8 I O ,5481 4 IO.69064 10 76969
io:aigil
IO.6534.5 10.8%%3 10.92337
12.965?8 I3 ,O?&i3
13.08505 13.14355 13.19596 13.24332 13.43645 l3,5i046 13.73667 13.83311 13.894s8 13,93761 13.99258 14.09632
16,60978
%.7?L"8 16.W261 16.97502 17.03575 17.09167 17.1328
71
Bb Blo
O.ooO1 0.001
0.002 0.004 0.006
0.008 0.01
0.02 0.04 0.06
0.08 0.1
0.2 0.3 0.4 0.5
A, -A. 0.W6 0,WX 0.00264 0.00018 0.00526 O.ooO36 0 . 0 ~ 0 ~ O ~ .m-2 0.01556 0,00108
O.O%l 0.02560 0.04961
0.09Wi 0.13251 0.16758 0.IW26 0.32 I4 I 0.405ii 0.46800 0.5 I678
O.WI43 0,00179
0.00%8 0.00:11 0.010RI
0.01408 0 .O1750 0.03410
0.0408l O.OM6o 0.07877
= 0.4 A3
0,00000
0.oO005 0.00010
-A, O.ooOo0
O.OOO?O
O.oooO4 O.oooO9
0.00029 0.00030
O.oOo13
O.OOO18
0,00049 0,00098
0.00044
0.00196
0.00203 0.003W 0.00 IS7 0.009G7 0.01-139 0,OlW I 0.0236 1
A, 0,00000
O;CM~IMO
O.oonO2 0.00003 0.oOOOS O.OOO10
0.oOc~l 0.001w2 0,00(103 O.Wt%lj u.DOiWd
o.oooo1
0.00003
0,000?2
O.ooO13 0.00035
-A.
O.(K)OL~~J 0.0@@16
0,00099 O,MI3 0.00177 0.0(1?31
0,00141 0,0@?3 O,OOS7~5 0.010t10
Bb = 0.4 A.
1 . .
0.6 0.7 0.8 0.9 1 .O 1.5 2.0
0.55633 D ,58927 0.61731 0.64156 0.66281 0.73983 0.78867 0.84703
4.0
0.W3 0.90074 0.91471
3.0
5.0 6.0 7.0 8.0 9.0 10.0 15.0
0.92463 0.931% 0,93757 0.94198 0.95452 0.W28 0.96557 0,96801
0,96940 0,97029 0,97137
0.97199
Bfl O.oOo1
0.001 0 .m 0.004 0,006 0.008 0.01 0.02
.-
U.
0.65336 0,65416 0.65503 0,65678 0,65853 0,66026 0,66199 0.67054
A. 0.00744 0.00867
-A* 0,00480
0.0 I103 0.01515 0.01724 0.0 I932 0.02 I37 0.03136 0,04084 0.05819
0,01109 0.01229 0,01821 0.02394 0.03480
0.00559 0.00638 0.00717 n:w795 o:oiie3 0.01563 0.022%
0,13649 0.15540 0,17045 0,18251 0.19225 0,20019 0.20672 0,22647
0,07342 0.08663 0.008D2 0. IO780 0,11619 0,12339 0,129F.8 0.15009
0.04482 0.35395 0,06222 0.06966 0,07632 0,08227 0,08758 0.10664
0.02993 0:03641 0.04249 0.0481 2 0.05331 0,05808 0,06245 0.07922
0,23566 0.24349 0.24660 0,24813 0.24899 0.24988 0.2:030
0.16073 0,1704fi 0.17453 0,17657 0,17774 0,17894 0. I7951
0,I I762 0.12851 0,13333 0.I3582 0,13726 0.13877 0, I3950
0,08982 O.lOlI0 0, 10655 0,10942 0.11111 0.11290 0.I1377
P¶
BI, = 0.5 Pa
3,25234 3.29259 3.29288 3,29346 3,29405 3.29463 3.29521 3,2981 I
-A.
AS 0.02810 0,03251 0,03684 0.04109 0,04526 0.0fi492 0,08262 0,11264
0,092lI 0.10473 0, I I667 0,12799 0.13871 0.18456 0.22012 0,27053 0,30361 0.32639 0,34266 0,35464 0.36370 0,37069 0,376 I9 0,39155 0,39809 0.40340 0,40546 0.401547 0,40705 0.40764 0.40793
6,36163 6.36177 6.36193 6.36224 6,3625s 6,36286 6,36317 6,36472
w. 9.47749 9,47758 9,47769 9,47790 9.47811 9.47832 9.47853 9,47958
0,00988
P,
14
12,60609 12.f0602
12,60617 12,60632 12.60648 12.60664 12,fiOfi8O 12,E0759
15.73972 15.73978 15.73981 15.73997 15.74010 15,74022 15.74035 15.74098
0.04 0.06 0.08 0.1 0.2 0.3 0.4 0.5
0,68717 0,70321 0.7 1870 0.73367 0.80193 0.85122 0.91352 0.96019
3.30389 3.30965 3.31540 3.32112 3,34942 3.37717 3,40437 3.43101
6.36782 6,37092 6.37402 6.37711 6.39252 6,40784 6.42306 6,43819
9.48167 9,48377 9,48587 9.487% 9.49842 9.5088: 9.51925 9.52962
12.60917 12.6107fi 12.61234 12.61391 12,62180 12.fi2968 12.63755 12,64541
15.74225 15.74352 15.74479 15,74645 15,75239 15.7587 I 35,76503 15,77135
0.6 0.7
1.00222 1.04032 1,07507 1.10693 I , 13625
3.45707 3.48254 3,50744 3.53175 3,55547 3.66558 3,76231 3,92146
6.45322 6.4681 3 6.48293 6.49762 6.51218 6,58302 6,65035 6,77378
9,53995 9.55025 9,56051 9.57073 9.r8791 9,631 15 3.68012 9.77370
12.65324 12.66107 12.6fi888 12.67667 12.68444 12.72300 12.76099 12.83492
15.77765 15.783M 15.79024 15.79552 19.80279 15.83398 15.86487 15.92554
1.52386 I ,573ifi
4.04446 4.14087 4.2 I768 4.27991 4.33111 4.37383 4,40994 4,52910
6,88219 6, qfi56 7.0S813 7. I2943 7.19119 7,24509 7,29236 7.45943
9.8fiD8U 9.94109 10.0 I444 10,081zfi IO. 14191 IO,l%W 10.24674 10.43561
12,90564 12.97277 I3.0360fi 13,00542 13.15089 13,20255 13,25057 13,44360
15,98444 16.04 I27 16,09582 16,147W) 16,197758 l6.24466 16,28P?? 16.47681
4.59495 4.66490 4;70134 4.72%5 4.7369 4.757139 4,76919
7.55869 7.fi6W2 7:72774 7.7fi423 7,78899 7,82038 7.83'344
10.5S721
13.S7756 13 74393 ~~' 13.8ioifi 13.Wl92 13,94465 13.Wm2 14.03336
48
0.9
I .o
1.5 20
3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 15.0
I .253w 1,33851 I .45178
1,mm
1.63739 1,65904 1,67648 1,69082
1.73600 1.7598; 1.7MS6 1;79724 1.80496 1,81014
I.AICi
1.82062
72
--A. - --
IO fiWX
10:7787i 10.82844 10.8624fi
IO.WiW
10.93238
16.615(il
I6 79W7
i6:Giis
16.98080 37.0315'2 17.09744 17.1381p
I-
o.ooo1
0.01 0.02
0.01674 0.02082 0.040j2
0,00002 0.00017 0.00035 0.00070 0.00105 0;00139 0.00174 0,00347
0.04 0.06 0.08 0. I 0.2 0.3 0.4 0.5
0.07697 0.10996
0.13999 0,16746 0,27643 0.3.W 0.41343 0;46041
0.00691 0,01031
0.001 0.002
0.004 0.W 0.008
0,WMI 0.00213 0.00426 0.00847 0.01263
0.49895 0,53135 0,55909
0.01368
20.0 30.0 4o;n
O.Wra.5 0.91387 0,91648 0.91797 0.91893 0,92 510 0.92077
0.39381 0,39917 0.4') 12fi 0.41229 0.4'1288 0.40349 0.40379
I 4 3.32039 3.32065 3.32094 3.32151 3.32207 3.32265 3.32322 3.32607 3.33177 3.3744 3.34309 3.34873
PI
0 . m
O.~IIIIY~
0,008
n:ii
0,71169 0.71334
0.02 0.04 0.06 0.08 0. I 0.2
0.73729 0,75261 0.76743 0.7818)
0.72146
0,00050 0.00075 0.00100
0.00032 0.00048 0,00064 0 ". O.OIf0
O.OOO88
0.00479 O.bOi58 O.oT.637 0,00716 0.00794 o;oll81
O.lO222
0,93217
0.70515 0.705W 0,70673 0,70339
0.00132
0.00176
0 .rx)743
0.35523 0.36624 0.371 76 0,38720
B~I
O.Orm8 0.00016
0,01298
o,wm
0.01)Ol 0.001 0.002 0.004
0100006
0.03225
o ,036.55
0,04077 0.p4491 O.OF.IH 0.08234 0.11191
0;Oofijfi
0.00872
0.01509 0 01718
@>I924 0.b2129 0.03125 n,04070
0,01227
o.nsm
0.0731 8
0,04473
0.09772 0, IO749 0.11587 0.12306 ( I . 12524 0.14973 0.16336 0.17nio 0.17416 0.17621 0.17737
21.0 39.0
I 49i76 1:6642e 1.61434 1.65u89 1,67870 1.70054 1.71814 1.73262 1.77822 1,8[)229 1.82724
400.0 50.0 69.0 83.0 100.0
1.8@04 1.8883 1,83306 1.85966 1,86364
4.0 5.0 6.0
7.0 8.0 9.0 10.0 15.0
3.94300 4.06541 4,16145 4.23805 4;31;015 4.35126 4.39392 4,42999 4.549% 4,6149) 4,68185 4.7213) 4.74361 4.75867 4.77766 4.78916
o;oo?rl 0,00400
0.01561
O.GZ293
0.053s 0.062 I I
0,06953 0 . O i 6 I9 0. e 1 3 0,08744
O.IOM8
0.17915
0.1 1745 0.12833 0.13315 0.13565 0. 137'19 0.138% 0.13932
Pa
Pa
0,17858
I4 6.37701
O,a,l IO7 o.nie17 0.02389 0,03473
o.nss
0.35015
o.nos5 0.00986
9.48791 12.61391 6.37715 6.488'3 12.61398 6.3731 9.48814 10.614 5 12.61421 6,37761 9.4W 6 . 3 7 ~ ~ 9 . ~ ~ i6 2 . 6 1 ~ 6.3763 9,488T7 13.6I433 6.37854 i?.fii.(tie 9.48898 6.38nM 9.4Wl2 12.61548 6.3f?3Ii 9,49211 12.fiIi06 6,3f?317 12.fiIi06 9.49211 6.38rr5 9,49421 IO.iilSii4 9.49421 6.35934 9.49i30 12.6!?,?2 12.62179 6.39241 9.49839
..
3.0
O.woO6
0,02787
7.0 8.0 9.0 10.0 15.0
100.0
0:000lO O.Wol2 0.00025
0.08%
0.29912 0.32187 0.33815
80.0
O.ooOo3
0,00320
0,112497 0.w24
6o:o
O.LM12.5 0.002:o Oi0037.l
O,or)o2
O.oooO5 O.oooO8
0.00497 0.00620
4.0 5.e
51.0
0.00194 0.00291 0,00387
O:OOO3g O.OOO49
O,Mxx)2
0.01086
0.21614 0.26613
0.88902
0.oOOm
O.OOO19 O.ooM9
0.00220
0.73151 0.791 05
p . 88442
O.ooOo1
0.00439
0.18181
(,,a7858
0,00000
O.oooO1
0.00959 0 .O I428 0,01888 0.02342
0.68196
0,86068
0,00000
O.ooOo2 O.ooOo4 O.oooO9 0.00013 0;000l8 0.0Mm 0.00044
0.00483
0.60445
6.0
0,00000
O.ooOo5 O,OOOlO
0.01701 0.03317 0.04849 0.063M 0107679
0.11395 n .12.m 0,13561
l#.W
0,000oo
0.08973 0,10109 0.irm6 0.10933
O.ll101 O.ll25? u.11361
14 l5.7436 15.74611
I5.74ril7 I5.74t.W
15.i4~2
1.5.8 4I~.~%Ps
15.74731 I1~55. .7744~S 8 l5.74QS.i l5,Zlll 13.7235
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6,78752 6,8956 1 6,98975 7.07144 7.14233 7.20398 7,25781 7.30502 7.47195 7.57117 7.68127 7.74020 7.77668 7.80144 7,83283 7.65188
9.78356 9,8705 I 9,951163 10, 1,2393
10JJw66 10.15124 10,206 18 I O ,25597
10.41470 10.56625 10.70833 10.78770 19.83743 10,87146 10.91483 1).91138
12,84254 12.91318 12.98024 13.04347 13;in279 13.15821 13,20983 13.25782 13.45074 13,58165 13.75398 13.84721) 13,99895 13.95168 14,00661
14.04338
15.93172 15.09058
16.04738 I6;10l89 16,15399 16,20358 l6,25(164 16.29518 16.48268 16,62144 16.80385 16.91416 16.98556 17.03728 17.10320 17.14395
73
BI. = 0.6 0.0031 0.901 0.m2 0.004 0.006 0.W 0.01 0.02
0,0')018 0,01181 0,01359 0.90714
-A. 0.000.12 0,00117 0.00034 0.0306a 0.00132 0,00135 0,00169 0.00337
Ai 0,00300
-A* 0 0OOM
As
o.ooooo
0.3oOJO
0,0011') 0.00019 0:93029 U;noosg 0.00748
0.OM96
o:ooIb2 0,01004 0.09009 0.00013 0.00018 0.00022 O.OM44
0,00001 0 ."02 0.00035 0.09008 0,00010 0.00012 0.x1025
n.00008 0.00016
0.12049 0. I4476 0.24299 0.31598 0.37388 0.41579
0.00672 0.010 12 0 01333 0: I1654 0.03227 0.04721 0.06141 0,07487
0,00192 O.O'l288 0 .O 138I 0,03479 0,01961 0.9l416 0.0 1873 0.02323
0.00088 0.'10132 0 .OO I76 n:m22n 0.00438 0,Om1 0.00859 0.0 I382
0.09053 O.UO075 0,00100 0,00125 0.00249 0,00373 0.01496 0.906 19
0.00032 O.OOU48 0.00064 0;0008! 0 .OO I60 0.00240 0.0032) 0,00399
0,45299 0,48$49 0.51162 0.53532 0.55625 0.63324 0.68284 0.74281
0,08765 0,09978 0,11129 0.12222 0, I3259 0,17719 0.21212 0,26177
0,02765 0.032 IO 0,93626 0.04045 0,04457
0.0374 I 0.00863 0.00981 0.01104 0.01224 0.01813 0.02384 0,03466
0,00479 0,00558 0,00636 0,007 15 U.00793
0 108I45 0.11 I16
0.01294 0.0 I513 0.01711 0.01917 0.02122 0.03114 0,04055 0,'1578 1
0,77713 0.79893 n.81335 0.8240i 0.831 87 0,83785 0.84258 0,85615
0.29453 0,31735 0,33363 0,3456 I 0 35474 0:36177 0,35731 0,38283
0.13481 0.153i9 0.16855 0,18157 0.19127 0,19819 n.2~71 0.22443
0.97294 0,085')9 0.09743 0, IO717 0,11553 0,12271 0.12883 0.14936
0.0464 0.05374 0.06 I99 0.06941 n.076 15 0.08199 0,08729 0.10631
0,02982 0.03632 0.04238
20.0
0.83245
30.0
0,85831
40.0 50.0 60.0
0.67114 0.87269 0.8736 I 0.87484 0,87555
0.38948 0.39 191 0,397n3 0.39818 n.398'ia 0.3993 I 0;39962
0,23363 0.24148 0,21461 0,2461 4 0,247 in 11.2479 I 0.21832
0.15998 0,16972 0,17378 0. I7583 n. 17699 0,17821 0. I7878
0.I I728 0.12815 0,13297 0,13547 0,13691 0.13842 0.13915
0.112711 0;I I358
12.62 I78 12,62185 12.62192 12,69239
15.75237 15.75243 15,75249 15,75262
0.01W 0,01414 0.01759 0.03434 0.')5561
0,0942)
4.0 5.0
6.0 7.') 8.0 9.0
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0.06396
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0.01001 n.00002
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0.00905
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0.01180
0 .O I558 0,02290
0;0531i 0,05794 0.06231 0.07905 3,(18963 il.IOI0ll
0,10636 0.10923
n. I i n 9
BI, = 0.7 Bh
14
R 6,39227 6,39241 6,39256 6.39287
Pa 9.49835 9.49814 9.49855 9,49876
0.001 0,002 0.004
PJ 0,75064 0,75136 0.75216 0.7375
3.34775 3.34810 3.34828 3.34885
BIt
u,
P3
0.W6 0.008
0.75534 0.75652 0.75W 0.76631 0,78155 0.79633 0.81(65 0,82457
3,34940 3.34997 3.3M53 3,33335 3.35896 3,36455 3.3717 12 3.57567
6.39316 6,39349 6.39379 6,39533 6,3CWJ 6,4n I 47 6.4J4.54 6.4076J
0,88861 0.94491 0;995i8 1.04032 1,08120
1.i5256 I , 18394
3.40315 3.43014 3,45660 3.48254 3.51t795 3,5328 I 3.55711 3.E8;87
6,42287 6.43805 6.45314 6.46813 6,4012 6.49781 6.51248
1,21292 1 ,32993 1,41467 1.52886 I.Wl87 1.65235 1,66922 1 .TI728
3.60g8 3.71201 3.877 I3 3.96419 4.086r52 4.18172 4,25812 4.22008
6.54148 6.B1176 6.67858 6,811 I7 6.918% 7.M3267 7.C8-138 7.15514
I .73934
4.37111 4.4 I 372 4.44975 4,56876 4,63458 4,7r.454 4,741nn 4,76332
7.21670 7,27046 7.31762 7.48442 728359 7.69366 7.75259 7,78937
10,21342 10.26517 10.4.5377 10.57527 10.71767 10.7%8 10,84640
13.16551 13;21%9 13,266n5 13,45781 13,59173 13.75812 13;8322 13.91597
4.77837 4.79738 4,81888
7.8138!2 7.84521 7.86427
10.88142 1@,92?85 10.95034
13.C5.559 I4 .o 1266 14,04739
o.ooo1
Pa
B b = 0.7
0.01
0.02 0.04 0.06 0.08 0.1
3,11845
1 .o 1.5 2.0 3.0 4.0 5.0 6.1) 7.0
8.0 9.0 10.0 15.0 20.0 50.0
1,757 Ill 1.77172 I , 81779 1.84210 1.8675) 1,88122 1.m9
60.0
1.89338
30.0 40.0
m.0 100.0
74
1.90004 1,90406
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6.527C.5
Pa
14
9.45sC6 9.49918 9.49918
12,62225 12.622.10 12.622515 12.62234 12,62492
9.550';043
9.5C262 9.YJ46O 9.5c669
9.Y-877
9.51919 9,5257 9,53992 9.55025 9.56054 9,571179 9.581111 9,591 19 9.61133 9,65136 9.7IJO I5 9.79338 9.88019 9,931l18 lO.llW8 10.10003
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12,62631
12,628 7 12.62565 12,6353 12.64539 12.65224 12,€6 1117 12.66889 12,676711 12.68148 12.6%25
I 9 ,711001l I2,i2&18 12.7i628 12 . s o l 4 12.9'0i2
12. T8i70 13,V51)87 13,11014
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0;ul
0.c2
0.04 0.C6
0.08 0.1 0.2 0.3 0.4 0.5
0.6 0.7 0.8
0.9
1.0 1.5 2.0
3,o
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cr:ooc29
n.zwio
0.33673 0.37953
0.41527 0,44573 0 47210 0:49523 0.5152 0,59159 fl.64C86 0.700KJ 11.73525 0.75713
0.0~~53 0.00575
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0;07301
0,29117 0.31281
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0.0(286 0.11(*~81
0.00475 O:o(t943 O;Olj04 0.01858 O.(r2304 0,02740 0,03174 0,03597 oow3 0:bnI 0,06348 0,089& 0.11041
o ;ooo in
u.mo25 0,1b*075
o:tn1436 o;61ssl o.oc865 0.0 IO78 0.012F8
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0.DoI'Xl 0.01125
0.00249 0.~10372 0 ,I11145 @.01:618
0 .CC74(1 @,W861 U.00CQ 0.01 102
0 .o 122 I
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0.13395
0,15266
BI, = 0.7
BII 6.0 7*0 8.0 9.0 10.0 15.0 20.0
30.0 40.0 50.0
60.0 8'1.0 IW.0
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0,83222 0.83326 0.83453 0.83527
AS
0.3291 I 0.34113 0,35024 0.35729
0.36285 0.37844 0.38514 0139062 0,39277 0,39384 0,39445 0,395IO 0.39542
0,16759 0,17957 0. I8925 0.19716 0.2~1366 n .22338 0,23258 0.24043 0.24356 0,24510 0,24597 0.24687 11,24730
0.09712 n.io684 0,11519 U . 12236 0.12853 Oil4897 0,15959 0.16932 0,17339 0,17544 0.17660 0.17781 0.17839
0.%187 0.069~7 0.07591 0.U8184 11.08713 0;1,814 0.11710 0,12797 0.13279 11,13528 0.136i3 0. I3823 0.13836
R 9,50872 9.50881 9.5J892 9,50912 9.50934 9.50954 9.53975 9.51080
12.62963 12.62971 12.6'2978 12,62991 12.63)IO 12.63126 12.63042 12.63120
0.04232 0.04794 u.05311
0.05787 0,06223 0.07896
0. t89.54 0.IOJ9J 0.10626 0. Ill912 0,11081 0.112M1
0.11347
BI, = 0.8 Bi,
%
PI 0,791 I I 0.79181 0.79258 0,79412 0,79566 ti.79719 0.79872 0,83629
3.37440 3.37465 3,37493 3.37548 3.37614 3.37659 3,377 I5 3,37992
6.40741 6,49755 6,61770 6.47800 6.40831 6,40862 6,41893 6.41045
e. 5
0.~mn8 0.83544 0,84938 0.86294 0,92557 0,98194 I ,03044 1,07537
3,38545 3,39797 3.39646 3.40194 3.42905 3,45568 3.48181 3,50744
6.41351 6,41657 6.4 I9fi2 6.42267 6,43787 6,45298 6,4683 I 6.48293
0.6 0.7 0.8 0.9 1 .O
1.11558 1,15256 1.18549 1,21773 1.24661
3.53254 3.55711 3,58115 3.60466 3,62762 3.73455 3,82892 3,98591
6,49776 6.51248 6.52710 6.54160 6.55598 6,62597 6.69254 6.81474
4.10628 4.20168 4.27788 4;33971 4.39066 4,43323 4.46922 4.58817 4.65398 4.723911 4.76013 4.78275 4,79781 4.81683 4,82834
6.92221 7,01589 7,139724 7,16788 7.22935 7.283'14 7.33315 7.49681
O.OJO1 0.001 0.902 0.004 0.006
e.on8
0.01 0.02
0.04 0.06 0.08 n. 1 0.2
a.3 0.4
I .5
1.36358
2.0
1.44855
3.0
1,56337 1.63694 1,68785 1.72.507 1.75341
4.0
6 5o . 0
7.0 8.0 9.0 10.0 15.0
l.n568 1.7933 1.8C839 1.85494 1.67952
I * 90497
1,918'14 1.92599 1.93133 1.93806 1,94212
Pa
7,59594 7,70599 7.76491 7.80138 7.82614 7.85754 7.87659
9.51288 9.51496 9.51 704 9.51913 9,52951 9.53987 9.55121 9,56051 9.57078 9,58101
9,59121 9,63136 9,61149 9,66142 9,71011 9.81318 9.88983 9,96971 10.0428'l lO.lfl937 10,16982 10.22m 10.274M 10.46282 10.58427 10.72662 11,81563 IO ,65535 I O , 88937 10.93279 IO .'XCI28
Ps
12,63277 12.63435 I 2 .133592 12.63750 12.64536 32,65321 12.66105 12.66888 12.67'669 12,68448 12.69226 12.70002 12,70777 12.74619 12.781'15 12.85773
12.92823 12,99515 13.05827 13.11748 13.17283
n.ma
13.2i228 13.46498
14
15,75869 15,75874 15.75880 15.75893 15.75916 15.75919 15.75932 15.75995 15.76121 15,76247 15.!6374 15, I 657 I l5,77 I32 15,77763 15,78394 15.79024 15.79652 15,81281 15.8fl938 15.81535 15,82161 35,85272 15.88354
15.94408 16.00285 16.05956 16,11431 16,16694 16.21557 16.26257 16.3Q7117 16.49441 16.63307 16.81541 16,92569 16.99808 17.04880 17.11471 17.15546
75
Bb= A.
0.8
-A,
Si,, = 0.R A.
At
0.04 0.06 0.08
0.I
0.2 0.3 0.4 0.5 0.6 0.7 0.8
0.9
1 .o 1.5 2.0
3.0 4.0 5.0 6.0 7.0 8.0
9.0
10.0 15.0
20.0 30.0
40.0 50.0 60.0 80.0 100.0
0.05090 0,07358 0,09469 0.11 440 0.19646 0.25896
n ,no 1VI
0.0028%
n.w%ii
0.0017% O.rX)218 0.00134 n.o1i(ii3
0,34943
0.0 l4RO 0.ox3I 0.07122
0.00171 n .cog35 n.01392 0.018l2 0,02281
0,38372 0.41309 0,43863 0,4611 I 0.48109 0,5555 1 0,604 I8 0,66376
0,08347 0.095 I2 0.10621 0,11675 0,12677 0.17CQ7 0.2011fi 0,25316
0.027211 0.03148 0,03568 0.03981 0.04386 0.06299 0,05026 0.111961
0.69817 0,720 IO 0,73505 0,74576 0.75375 0.75990 0.76 175 0.77876
0.28j74
0.133O8 0,15172 0. I6660 0.1785 0.188?1 0.19610
0.07214
0,20260 0.222x)
0.123'6 0.1:&8
0.78532 0.79145 0.79432 0.79598 0.79705 0,79835 0,7991 I
0,38078 0.3%?2 0,38850 0,38959 0.39021 fl.3M88 0.39121
0.231 50 0.2345 0.24249
o.zun-1
0,15919 0.168?2 0.l7299 0,17503
0.24491 0,24582 0,21625
O.li6?0 O.Ii71 I
O.lii99
0,30W)5
O.fO875 0.32461 0,33663 0,34575 0.35282 0.358:9 0.37405
Bi,
n.ww 0.01074
A5
o.rm;n n .nnnrJ 0,00121
O.on218 0.00371
n.oomi 0.00616
0,00177 O.Oqi5tj o,mt;,31 0.00713 0,00;91 0.01 176 0 ,O I .:5 I
0.01283 0.01492
0:01fi75 0.01302 0,02105 0,03990 o .n :o25 0,05739
0.08552 0.09651 0.10651
0:12200
0.02283 0,01446 0.05353 0.06174 0.06L)I 4 0.07577 0.081 69 0,05597 0.105% 0. I I691 0,12778 0.132fiO
O.ls.709 0.13653 0.13901 0,1387
U.
Ir,
._
P ..-
P.
0,82748 0.82816 0.82891 0,83041 0,83191 0,83340 0,83489
6.42942 6.492% 6,422il 6.42303 6.42332 6.42363 6.42393 6.4235
9.51cOi 9,51914 9.5IM.i 9,51945 9.51'37 9,5108i
I?.tJ74i 12.63754 13.637( 2 I? .63ii8 I?,G3794 12.63909
9.52008 9.521 I?
12.63825
0.84227
3.40036 3.4006 I 3;40089 3.40 I43 3.40 198 3.40253 3,40308 3.40581
0,85670 0,87073 0.88438 0.89765 0,95916 1,01315 1,06270 I , 10693
3.41127 3.41671 3,422 I 3 3.42754 3.45190 3.48060 3.50MS 3,53175
6.429iO 6.43151 6.43458 6.43i6l 6,4317 5 6.46780
9.52320 9.3525 9.52;36
I? .ti406 I 12,6*2 18 12,64375 13.64532 12.653 I8 12 .titi 103 I2 .ls;s&
0.1 0.2 0.3 0.4 0 3
0.0274 0.0?623 n.0123; 0,047K 0.03304 0.057Y) 0.03"5 0.0iSG 0.05911 0. I0079 0.10615 0: 1 0 9 2 0. I1071
O.Il2;o 0,11337
= 0.9
B.
0.04 0.06 0.08
--As o.no032
0,00075
O.&l 0.001 0,002 0.004 0,006 0,008 0.01 0.02
76
-A, 0.1JM87 0 .cK)I3 I
6.483% 6.49769
9,5393 P.53W 9.55014 9.56045 9.57073
PS
12,63934
19,67i*i7
15.76759
et, 15.0 20.0
30.0
40.0 50.0
60.0 80.0
100.0
BIo = 8.9 Pi 1.88(Mo 1,91475 1.94048 1.95369 1.96172 1.96712 1.91392 1.91803
I4 4.60729 4.6i31 I 4.74310 4.77458 4.8019? 4,8169Y 4.83601 4.81752
Pa
7.50912 7.60822 7.71825 7.77715 7.81364 7,83839 7.86979 7.88885
PI 10.47181 10.5Y323 10.73556 10.81455 10,85426 10,89828 10.94171 10,96820
PI 13.47208 13.60583 13.77205 13,85823 13.Y2997 13.’57269 14,02766 14,06139
i4 l6.5IM26
16.63888 16.82118 L6.93144 17,03383 17.05454 17,12045 17,16119
Bb = 0.9 Bit o.Ooo1 0.001
0.002 0.004 0.006 0.m8
0.01
0.02
0.04
A. 0.00012 0,00123 0,00246 0.00490 0.00732 0,00972 0.01211 0.02377
-A*
0.00031 0.00M2 0.00093 0.00124 0,00156
0.00310 0.00618
AI
O.ooOo4 O.oooO9 0.00013 0,00017 0,00022 0.00043
0.00025
0.00188 0.00281 0.00374 0.00467 0;00$7 0.01380 0.01826 0,02265
0,00087 0.00130 0 .OO I74 0;00217 0 00432 .,.. 0.00646 0,00858 0.01069
0,00050 0.00074 0.00099 0.00124 0,00247 0.00370 0.00493 0,00615
0.09032
0.01278 0,01486 0.01691 0,01895 0.02097 0;03078 0,04010 0,05718
0.00736 0.00857 0,009n
0,00476 0,00555 0.00634 0,00712 O.Wi89 0;01174
0.04585 0.05643
0.5
0,10372 0.17956 0,238I2 0.28514 0.3240 1
0.6 0.7 0.8 0.9 I..o .~ I .5 2.0 3.0
0.35688 0.38518 0.40987 0.43168 0.45112 .. - . . ~ 0.5~391 0,57182 0.63082
0.12398
0,02697 0.03121 0.03538 0,03948 0.043SO
0,20034 0.24893
0.07965 0,10887
4.0
0,66506 0.68695 0.70190 0.71264 0.72065 0.72683 0.73171 0,74582
0.28135 0.33W 0,32013 0,33215 0.34127 0.34835 0.35393 0,36965
0,13220 0.15077
0,75244 0.75864 0.76156 0,76324 0.76432 0.76565 0.76642
0,37643 0.38202 0,38423 0,38533 0.38597 0,38665 0.38698
5.0
6.0 7.0 8,O
9.0 10.0 15.0 20.0
z:: 50.0 60.0
80.0 100.0
Bf, 0.m1 0,001 0.002
0.004
0.006 0.008 0;Ol-
0.02 0.04
0.08
0.08 0.1
0,08568
0.00923 0.01225 0.01524 0.02978
0.04366 0,05688 0.06948 0.08148 0.09290 0,10378 0.11413
O;16668
PI
I4
0.8304I 0.86107
3.42564 3.42589 3.42616 3.42670 3.42724 3.42778 3 42832 3:43102 3.43641 3.44178 3,44714 3.45248
o.afii 8 I
0,86328 0.86475 0,85621
0,86766 0.87489 0.88W4 0,90280 0,9I620 0* 92926
-A 0.00000
O.oooO1
0.00005 0.00009 O.Mx)I9 O.OOO28 0.00038 0,00047 0,00094
0.06
0.08 0.1 0.2 0.3 0.4
As
-A4
o.ooooo
0;OSzis
0,16560
0.17751 0.18716 0,19503 0,20152 0,22120 0.23040 0.23826 0,24140 0,24295 0,24383 0,24474 0,24517 Bi, = 1.0 Pl
6.43731 6,43745 6.43760 6.43790 6.43820 6.43851 6.43881 6,44033 6.44336 6.44639 6.14941 6.45214
~~
0.07219 0.08523 0.09649 0,10617 0,11449 0,12163 0.12778 0,14818 0,15878 0,16850
0,17257 0,17462 0.17579 0,17700 0,17758 k
9.52934 9.52943 9,52954 3,52975 9.52995 9,53016 9,53036 9,53140 9.53348 9.53555 9.53763 9.53970
0,00002 O.ooOo5 0.00007 0.00010 O,Mx)12
0,01097 0.01216
o;oiaoi
0.00002 0,00003 0.00005 0,00006 0,00008 0.00016 O.ooO.18
0.00064 0.00080 0.00160 0,00239 0.00319 0.00398
0.02358 0,03444
0.01552
0.04436 0,05342 0,06162
0.02970 0.03fi17 0,04221 0.04781 0,05297 0,05772 0,06207 0.07878
0.069M)
0,07562 0.08153 0.08581 0.10578 0,11672 0.12758 0,13240 0.13489 0.13634 0,13784 0,13857
Ps 12,64529 12,64536 12,64544 12.64503 12.64575 12.6 1591 12.64607 12.64686 12.64813 I? ,64999 I 2.65 I67 12,65314
0.02280
0,08934 0,10069 0,10605
0,10891 0.11060
0,11239 0,11326 14
15.77129 I5 ,77 I35 15.77141 15.77153 15.77I66 15.77179 15.77191 15.77254 15.77380 16.77507 15,77633 15,77760
BIa= 1.0 BL
PI
I4
0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
0,!38?% 1.04382
3,47891 3.50491 3,53043 3.55547 3.58002 3.60408 3.62162
I .o I .5 2.0 3.0 4.0 5.0 6.0 7.0
1,30654 I,42377 1.50941 1,62567 I ,70045 1.75229 1.79025 1.81916
1,09233
I, 13625 I , 17627 1.21292
1;24661 1,27773
3.67319 3.77825 3.87124 4.02553 4. I4578 4.21057 4.31641 4.37804
Pa
6,46750 6.48248 6.49738 6,51218 6.52688 6.541 48 6.55598 6,57035 6.58462 6.6.5407 6:?2017 6.8 II57
6.948 $6 7,04169 7,12272 7,19311
Pa 3.5F.034 9,56r)3’, 9.5706‘; 9.58091 0,59114 9,60133 9.61 I19 9.62160
P5
Pa
12,66098 12.ftjW 12,6766 4
15.78310 i5.790~0 l5.7%19
12.68I14 12.fiW3 12.700 12.70717 12.71551
15.80279
9.fi3I68 9.68141 9,729112
12.7232 4 12.76 I57 12.79914
15.8WIO
12;87286
12.9~ 43 . .21 . ,
11,00599 13.07219 13.13210
1.5 “ 7
iS a i5i4 15.82 IfiO lG.&2786 15.%517 15.9959 & 15.96639 ~lfi,OI508
ifi.07172 I6.12609 16.17805
77
8.0 9.0 10.0
15.0 20.0 3.0 40.0
50.0
1,84189 1,86023
f:Z
1.94798 1,97400 1.98735 1,99546
60.0
2.00093
80.0 100,O
2,00780
2.01195
4.42885 4.47 I31 4.50726 4.62612 4.69 I94 4.76 I96 4.79845 4.@080
i.25440 7..30796 7.354% 7.521 37 7.62042 7.73043 7.78934 7.&2581
4.83588 4.65491 4.86642
7,85057 7,88137 7,90103
10.1m I O .?42%
IO, 48083 10.602I7 10.74446 10,82344 10,87315
13,18734 13.21882 13,28667 13.47917 13.61288 13.77904 13.875?1 13,93695
16.22753 16.27448 16.3 I893 16,50610 16.64468 16; 82694 16.937 I9 17,00957
10,210717 10.95060 10.97709
13.97966 14.03463 14.06836
17,06028 17.12618 17.16693
Ai 0.00000 0.00001 0.000r~2
--A* 0,cm)O 0.00001
IO .2W6 1
BIO= 1.0 BIB 0.0001 0.001
0.002
o 004
O:W 0.008 0.01 0.02
0.04 0.06 0.08 0.1 0.2
0.3 0.4
0.5
A* 0.00011 0.00112 0.00223 0 . 0 0 ~ 0.00664 0.00882 o.01099 0.02160 0.04175
0.06061 0.07830 o . 0 ~ 4 0,16517 0.22054 0.26512
0,30222
0.6
0.33376
0.7 0.8 0.9 1.0
0,36171
I .5
2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 15.0
0,38487
-A¶ O,OOM)2
0.000l)0 0.00005 0,00009 o.onoi9 o.ono28 0,00037 0,00047 0,03093
0.00601
O.OOIS
o.oom8
1192 0.014~ 0.02'332 0,04256 0,05548 0,06781 0.07ss 0.09075 0,10142
0.40611
0.11is8 0.12127 0.16331 0,19659 0,24477
0,63528 o.fis7ix
0.2770l 0.29947 0.31567 0.32769 0,3%8? 0.343rO
0 17I593
n.00278 o.00371
0.34949 0.36526
m.0 50.0 60.0
80.0 1oo.u
AI 0.73177 0,73327 0.73457 0.735m 0.73669
-Aa 0.3i995 0,38101 0,38172 0 . 3 ~ 2 0.38276
O.oooO2 O.WU04 o.oooo9
o.n~o13
0.00043
o.onotv
n.mw
0.00 117
0,0'1022
0.02246
0.01065
o.02~4 0,03095 m.03~9 0.03915 0,04314 0,06199 0,07914 0,10809
o.01~73 0.01179 o.nim& n.jlias7
n.om3 o.otein
0.13130 0,14980 0.16158 n. 17646 0.18608 n.19394 0 ,?004 I O,%wl8
o.ocoo5
o.00~07 0.00010 o.om12 0.01025
0,00919 o.oim
B1, 81,
-A.
o.oooco
o.oo130 n.nu173 o.oc1?16 0,01430 0.~0643
0.1
0.42489 0.4~96 0,54304
0,60130
A3
0,00015 0,0093') 0,00061 0.o~o91 0.00121 o.00151 0,00302
o.ons5
0.0?08s
0.11tin7.1 0.001~ 1).00124 0.00247 o.0037~) 0.00m 0.00613 o.0~34 0.00655 0.00975 o.01094 0.11313
o,n3m 0,03994 0.056%
ti.oi?zn
0,07147 'l*OSI%
0 .O 4 126 0.05330 o.ndiin 0.WS 0 .075 17 11.''.9137
[email protected] 0.1055'J
O.O%l6 0.IO582
0.11412 0,12125
0.12739 0.147id
0.02352 0,0343
O.oo(x12
o.oro~ o.cooos 0.(10006 0.000 18 0.W16 0.n0032 0,00048
0.00064
o.oo180
0,00159 0,00239 0.00318 0.00357 0.00.m n.07554 0 . m
o.00710 l1,0'798 0.01173 O.OI549 0,011377
0.03955
o ,036I 2 tl,O42l,T 0,04774
0.05293 0.05764 1I.RilW 0.0:*6J
= I .O
A3
0.241129
n.21iaj 0,24273 0.24361 0,24407
-A4
0.17215 0,17420 0,17536 0,17657 0.17715
A8
0.13220 0,13m 0.13613 0,13764 0.13837
-As n.in5m 0.10880 0.11043 0.11228 0,11315
BIO= 1.5 61, 0.0001 0.031
n,ooz
0.004 0.006 O.nO8 0.01. 0.02
PI
R 6.50967 6,5098) 6.50995
P4
n,gwi 0,98893 0.9ew 0.99100 0.99237 0.99374 0.99511 1.00189
3.54219 3,54242 3.51268 3,54319 3.513711 3.54421 3.54472 3.54728
6.51054 6.51084 6.51 114 6.51263
1,01520 I.02819 1.04088
3,55239 3.55748 3.56255 3,56762 3.59271 3.61741 3.64 17I 3.66558
6.51559 6.51856 6,52152 6.52448 6.53924 6,55392 6,56851 6,58302
9;6l080 9,62099 9,63115
3.68932 3,71201 3.73455 3.75663 3.77825 3,87948 3.96958 4,12010
6,59743 6.61176 6.62597 6;64[)(38 6.65407 6,72227 6.78725 6.90681
9,64127 9.65136 9,66142 9.67 143 9.68141 9,73067 9.77872 9.81064
1.05327 1 . I I I26
I , 16345 1,21077 1,25394 1.29351 1.32993
1.36358
1,39478
1.42Jn
1,54272 1.63054 1.75088
78
Pl
6,511125
9.58710 9.58719 n.se020 9,58050 9.58070 9.58?91 9.58112 9,58215 9.58420 9.58625 9,58830 9.59035
Pi 12.68109 12.68216 12.68~3 12.68439 12,6845s 12.68170 12.68486 12.68564 12.68720 12,68877 12.6'3332 12.69 I89 12;69968 12.70747 12.71524 12,72300
12,73074 12,73848 12,74619 12,75389 12.76157 12.79958 12,83724 12,91035
Ps 15.80260 15.80266 15,80272 15,80265 15.80297 15,80310 15.80322 15,80385 15.81511 15.80637 15.80762 15.67888 15.81517 15,82144 15,82771 15.83398 15.81023 15181648 15,85272 15.858% 15.86517 15,896 I3
4.0 5.0
1,82888 1,88320
8;o
1,92396 1.9534~ 1;m744 1.99675
;:x
9.0 10.0 15.0
20.0 3oDo 50.0
69.8 m.0 100.0
2.06285
4,23824 4,33182 4,40695 4.46~16 4;51872 4.56105 4.59692 4,71575
7.01231 7.10452 7.18178 7.25461 7i3154.i 7.36873 7.41549 7,58134
2.0.5933 2.11683 2.13093 2.13951 2,14526 2.15251 2,15691
4,78168 4.85188 4,88850 4.91092 4.92605 4,94515 4.95672
7.68021 7,79014 7.84904 7,88553 7.91029 7.94171 7.96378
2.01266
9,95632 11,03538 IO.l't78'l in.173~1 10:233ii
12.98334 13.04681 13.lll952 i 3 . 1 6 ~
10,28826 10.33766 10,52528
13.27468 13.32238 13,51436
16.30408 16.34812 16.53518
10,64638 10,78851 10,86745 10,91714 10,95116 10.99459 11,02107
13.647112 13.R1380 13.90952 13.97163 14.01434 14.06920 14.10302
16.67354 16,85561 16.96579 17,03815 17.08884 17.15474 17.19548
i3:ii340
16.04549 16.10193 16.15613 ~ifi 2,793
iS:257iS
BI.= 1.5 BIt 0.m1 0,001 0,002 0,004
::z
O.OOno8 0,00077
..~
..
0.00457
o,onfiis
0.01 0.02
o .no758 0.01494
0.04 0.06 0.08 0.1 0.2
0,02906 0.04243 0,05510 0.06715
0.3 0.4
0.1
0:iisSS
0.16198 0,19729
0.m32
-At 0,WOol 0.00013 0.00027 0.00053
o,onnei
0 .OO IO6 0,00133 0,00266
0,00523 0,00793
o .o I 05'1 o .OI307 o ,02562
11.03767 0.0492 0.0~~28
As O.rtoo00 n, 00004 0,000n9 o .uno18 0.00027 0.00036 0,00044 0,00089 0.00178
n,oozw
o.nom
-A4
o.ononn
As 0.03000
-A a
o,oomn
n.ono'12 0,00004
0.00l0 I
o,mnoz
o.oooo2
0.00013 0.00017
0.000'15 o.onon7 0.W0lO
O.GO003 0,00305
o.o')nne
o.noo2i
0,00042
o,oom
0.00 I27
n.00442 o.nn878 0,01308 o.01731 0.02 I48
0.~ioni2 0.00024 n.00049
o ,00073 o.oow 0 .oo 122 n .nt m~ o .nn~fi5
n.0048~ 0. II0606
0.00001
n.oooo6 n.nooo8 n.wo16 0,00032 0,00048 o.ni1063 o.oon79 0,110 158 0.00237 l1.00315 0.00394
8 1 . = 1.5 B1.
A,
--A1
0,25330 0.27608 0.29627 0,31435 0.33n64 0.393 I 9 0,43567 0.4894 I
O.rI71188 0.081 I2 O.119J72
4.0 5.0 6.0 7.0 8.0 9.0 10.0 15.0
0.52139 0.54214 0.55648
0,25616 n.27812 n -29 1117
0.5668j
1-1:30597 0.31.515 0.32212 11.32773 0,34355
m:o
0,61933
100.0
n 577464 6:58:68 0.58546 0,59940
.,.~ ..
O.lU10r)
ll.1'1887
0.14778 0.17%3 0.224%
0:3i148
A. 0.r12.m 0.1r2962 0.03359 0.0375'1 0.114 I33 0,05948 n ,07594 0.I0410
-A.
A8
0.01246 0.0 I448 0.01648 0.01817 0.021)44 0,0311 !2 0,03912 0,1!5564
0,00725 0.00~14 0.00963 0,01'18'l 0.01198 0.01774 0.1~2333
0.12672 0. 14481 0,15932 0,17111 I 0.18 '50 O.IBLa7 0.19468 0.21421
o .n7055
0,04374 11.05269 fJ.OfJ181 0.C68lrl
012378i 0.23E29
n:i743; 0.17488
n.08337
11.119145
0: In399 0.11220 0.11925 0,12534 0, I 4556
o.nm5
n ."7
466
0,08152 0.08575 0.10458
~;13654 0,13727
~.~.-
O,IIIM 0,11253
0.62012
0.36187
1,07691 1,07754 1.07822 1.07955 I;0806 1,08221 1.08353 1,09311
3,64362 3.fif384 3.61459 3.61158 3:61516 3.615% 3.6f6E 3,61831
6.57835 6.57818 6.57862 6.57891 6;57921 6.57931 6,57979 6.58124
9,6297 9,62C66 9.62976 9.69997 9:631!16 9.63037 9.63.58 9,63159
13.7E67 12;521_56 12.72293 12.723 8 1 12.72383
15.83361 15.83367 15,83373 15.8338; I5;&3398 15.83411 15.8'3124 15,81486
I . 1QW4 1.11569
6.58416 6,58707 6,58997 6.59288 6.60737 6.62178 6.63611
9.63362 9.6336 9.63769 9,63972 9.64986 9.65997 9.6701;7 9.6Eu12
l2.725VI 12.72695 12.7?S5 I I2,73,1116 12.73231 12,74575 12,75357 10.76099
15,836 I I 15,83736 15.83862 15,83987 15.816 13 15.85239 15,85863 15.86487
6.66451 6.67858 6.69254 6.70641 6.72017 6.78725 6.85123 6.S9915
9.69115 9.70015 9.71011 9,72003 9.75W2 9.77872 9.E2635 8.91531
12.76569 12.77638 12.T81185 12.i9170 12.79934 I5.Si724
15.8711'1 15.87733
..
0,OOOl 0,001 0,002 0.0(14 0,006 0.008 0.01 0.02
....~
0.08 0.1 0.2 0.3 0.4 0.5
I . 12815 1;14116 l.l97.)3 1,24854 1,29549 1.33851
3.6340 3.65829 3.66317 3.66814 3.6El5 3.71590 3,73931 3.76231
0.6 0.7 0.8 0.9
1,37819 1.41467 1.44855 1.48705 1.50411 1.63054 1.72067 1.81501
3.78192 3.81713 3.83892 3.8.330 3.87124 3,95958 4.05751 4.20519
0.04
0.06
I .o I .5
2.0 3.0
12,7223r) 12.72237
12.72245
15.9;161
15,88354 15,88975 15,89591 15,026i8 13.95733
12.94735
16.(11i33
79
.4,0
1.92621
s.0 6.0 7.0 8.0 9.0 10.0 15.0
4.32176 4,41449 4.48916 4.55112 4.6 10.58 4.64257 4,67873 4.19778
2,19526
2.22816 2.24298 2.25200 2,25815
7.07341 7.16l6611 7.24428 7.31361 7.?74ll 7 , 42709 7.47z-S 7,63911
lfi.Oi5fil 16,131S7
7.73m 7,847M
Ifi.i~~?I.i 16. a 404 I ti,09 I I f i
16,16389
16.?3754 16,28573 16.33343 16.37165 I6,XiWI
7 . %lB?I
7.9430:l 7.3789
17.06648 17.11716 17.183G 17,22379
2.26568
2.n029
Blo = 2.0 BIZ 0.0001
0.001 0.0~2 0.004 0.~6
0.008 0.01 0.02 0.04 0.L6
0.08 0.1 0.2 0.3 0.4
0.5 0.6
0.7 0.8 0.9
I .o
1.5 2.0 3.0 4.0 5.0
6.0 7.0 8.0 9.0 10.0 15.0
A* o.oonn6 o,ni.osg O.(IOII~
n.no2~ 0.00351 0,00466 0.00582 0,01149 0,02241 0.03281 0,04273 0,0522 I
-4 o.000n1 O,OM)I~
0.00024 0.00047 o.mo71 0.00095 0.00118
0,00236 0,00470
o.nm~3 0.0lJ934
0.01 163
AI
o.cronoo
O , I I ~ I O I I ~o,oouo2 o.ooons o.011uo4 O.OO!II~
O,I~OOO~
0,00025 o.00034 0.00042 0,00085
o.noui2 o.oooI6
0.00169 0.00254 0.0038 n.ni142z
0.15773 0,18288
0,02281 0.03364 0,1144112 0.05401
0.20485 o,z4m 0,24167 0,25733 o.ni52 0.32675 0.36494 0.41408
o,n6%1 0.07282 0.08167 0.09~l.5 0,119829 0.13427 0.16351 0,20706
o,n3210 0,03584 0,03952 0.05695 0.07281 0.10005
0,44377
0.~3703 0.25833 0.27391 0.28558 0,29454 0,30154 0.30710 0,32303
0,12202 0.13967 0.15389 n. 16534 0.17468 0,18233 0, I8866 0.2083 I
0.09402 0.1285s
0.463% 0,47681 0.48665 0.49408 0,49984 0,50443 0,51784
-A.
o.nwo?
0,110838
0.01248 0.01652 0.020s I
0.62444
ii.rmm
0,00021
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n.oo211~
o.no411 0 . m 15 0.00817 0.01017
n.01217 0,01414 0.016in 0.01894
o.niw
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0,11709 0.12310 0.14314
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o . n n ~ n ~ o.nowo o,oniioi o,orioirI ~,IIOO(E o.wui 2
o.oouo5 o.00007
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n.00468 0.00~45 0.~622 0.0r698 0,00775 0,01152 0.01523 0.02238
0,04318 0,05203 0.06n05 0.06728 0,07377 0.07958 0.08477 0.10346
0.02916 0.03553 0;04148 0,04699 0.05zn8 0.05677 0.061n6 0;07758
BI, = 3.0 Po
1.19J16 1,19506 1.19636 I , 19765 1.19894 1,20535
Pa 6.70393 6,70409 6,70423 6.70451 6,70481 6.70509 6.70537 6.70678
9.72404 9.72412 9,72422 9,72443 9.72462 9,72482 9.72502 9,72602
12.796fi5 12,7%72 12,79681 12.79695 12,79710 12,79726 12.79741 12,79818
0.2 0.3 0.4 0.5
1.21797 1,23033 1.24246 1.25433 1.31042 1.36160 1,40854 1.45178
3.81805 3.82268 3.82730 3.83191 3.85477 3.87733 3.89956 3,52146
6,70960 6.71242 6.71524 6;718G6 6.73209 6 74606 6:759% 6.77378
9.72802 9,73002 9.73201 9.73401 9.74397 9.75391 9,763E2 9.77370
12.79971 12,80125 12,80279 12.80432 12.81199 12.81964
1;75086 1,84507
4:1?0111 4,20519
6;968l
9;8711fi4
2.0
6.96915
9.91751
0.004 0.006 0.008 0.01
0.02 0.04
0.06 0.08 0.I
80
P.
3.80878 3.8I899 3.83923 3,81969 3.81016 3,81062 3.81 IO9 3.81341
o.ooo1 0.001 0.002
1,19253
1.19312
ILS 15,89452 15,89457 15.89463 15,89476 15.89488 I 5,893il 15,895 I3 15,89575
12.83492
15,89100 15,89824 15,89948 I5 . 9 ” 15.90694 15.91315 15.91935 15,92554
12;91035 12,94732
15;989111 16.01733
12.82/29
81, t 3,n
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Bl,
PI
P8
w
3.0
t.97648 2,01j302 2.12387 2.16879 2,21322 2.23040 2,25237 2.27048
4.34925 4,46395 4.57577 4.67007 4,61NX)I 4,74149 4,78393 4.81998
7.n8133 7,11353
i0.00728 10.ngi13
7.Ri.177 7.42331 7.48322 7.53577 7,58202
10.36391 10.41768 10.46652
2.32776 2.35807 2,38951 2,40564 2.41 545 2.42205 2,43035 2.43536
4.94'307 5, n o m 5.07fl28
7.74673 7.84539
4.0 5.0 6.0 7.0
8.0
9.0 10.0 15.0 20.0 30.0
41.0 3.0 60.0 80.0 100.0
BI, O.ooO1
0,001 0 . ~ 2
0.014 0.076 0,008 0.01 0.02 0.04 0.06
0.08 0.1
0.2 0.3 0.4 0.5
4.0 5.0
6.0 7.0 8.0 9.0 10.0 15.0 20.0
3080
40.0 50;O 60.0
81.0 100.0
;I& 0.01
0;04
0.06 0.08 0.1
0.2
0.3 0.4
0.5 0.6 0.7 0.8 0.9
At 0.00004 0,000~ 0.~~1083 o.oo161
10,16855 Ir),231Iy) IO,M1(76
7.27630
IO ,65256
7.95538
5:i1558 5.13813 5.15385 5.17332 5.18510
8,111739 8,12653
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--A. 0.00001 0,110910
Pi
I O ,77397 10.91486 11.99374 I I .n4344 i I 57748 I I , 12133 I I , 14745
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0,00000 0,00004
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0.00004 0,00012 0,07016
0,09096 0,00192
o.00015 0.00023 0,00031 O,r)OO38 0,00077
0,01544 0.02268 0.02962 0,03629 0.06613 0.n9130 0.11294 0.13184
0.0)382 0,03571 0.00759 0.009% 0.01862 0.02749 0.03617 0.04436
0,14857 0.16352 0.17700 O:l8T25 0.2'3043 0.24471 0,27635 0.31735 0,34291 0.35991 0.37187 0;38)64 0,38729 0.39248 0,39662 0.40881
0,0021') 0.00320 0.00399 0,00789
0.41465 0,42020 0,42284 0,42138 0,42537
0,42659 0 , 42731
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IO.O~X% 13.15385 13.21ii7 13.273:lR 13.32835 13,37911 13,42636 13.61 690 13,74370 13.91523 14.ni117 I 4.0728 1 14. I I .5;2 14, I70 48 14,234!221
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W 16.m6~ l6.13W 10.19570 10.24439 I0.29.575 16.34467 16.3911 I 16.43512
I6.62O72 16.75845 16.9-K)O'I
l7.03.W 17,12228 17.1729% 17,23882 17.27955
-Ai 0.00030 0,00901
0.01oo2 o.om03 0,07005 0.00006
0.0902 1
O.OJO12
0,00008
0,00339
0.00023
0.00015
O.OQ154 0.0023~ 0.07316 0;00382 0 ,00763 0.01134 0.01532 0,01855
0 ,00778
0,00047
0.0)031
0.1)0070 0.33393 0.001 I7
n.00046 o .on06 I 0 .00177
0.05235 0.06 io7 0.06751 o:s7as 0:08159 0.11248 0,13834 0.17691
0,022'23 0.02576 0.02924 0,03266 0.03613 0,052 15 0,06670 0.09234
O.OIlj6
0.20424 0.22396 0,23835 0.24962 0.25816
0.11166 0,12935 n ,I 1 2 s 0.15381 0,16281 0.17 I18
0.00118
0.00157 11 03 I 93 0;01391 0.0058I 0.09776 0,00967
:
0.01311 O,')I3) 0,01715 U.01899 O.OT92 0,03543 0.05211
O.lIU383 0.01693
O.'IOG8
11.00817
0.*)1l531
U,01)9t?l U.UI'l33 0.01l15
0.''05 19 O.dO-581
0,01697
0.112233 0,03252
n.2vm
n.211i4 0.21197 0.2 I 517
0.30140 0,30273 0.31332 0.31111 0,30489
11.0593
0. I1816 ,l,liZl
0. It5173
U.161.S
0.21 771 0.21 8'39
0.lrjW
0,lis IS 0.16573
0. I I I63
0.1929
O.n@6jl 0.11977
0. I I15 O,I?')r?
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0,lX% 11.132 I 6 O.IJ3319
0.I J735 0.1 19% u. I1023
0.113% I
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0.01492 0.02141
0.07623
0.3167'5 0,21918
0.90759 0.01129
n,028i9 0.11318; 0.01169 11.0% I I 0,05112 0.1.155i3
0,19515
n, 29857
o,niis o .~1123n 0,00306
n.17631
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o.oom8
1n.orW2
I
1.30213 1.31417 1,32598
3.94416 3.94864 3,95312 3.95758
I ,38l9!l 1.43312 1.48128 I ,52386 1.56428 1.63187 1.63694 I ,669773
3,97974 4.00 I62 4.02319 4.04446 4.06541 4;08602 4.10628 4.12621
~,8i483 6 81511 6.81538 -
9.~1246 9,81266 9.81286
12,86821 12.86876
15.95399 15.95412 15.96424
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1?.8KRr,2
6.82227 6.82:02 6,82777
9.81581 9.81777 9.81974 9.82171
l2;87l R ) 12,87231 12.87383 12.87535
15;!%X3LN 15.95730 15.958% 15,95979
6.8i148 6.855 12 6,86869 6.88219 6.89561 6,90896 6.92221 6.93538
9,83151 9.84130 9.851 07 9,86083 9.87051 9,88019 9.88983 9.89944
12.88294 12,89052 12,89899 12,90564 12.91318 12,92072 12.92823 12,93572
15,96596 15.97213 15.97829 15,98244 15,99058 15.99672 16.00285 16:008'%
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0.81952
. .
81
I .o
I .5 2.0 3.0
4.0 5.0 6.0
7.0
60.0 SJ.0
100,o
1.70045 1,82888 1.92621 2.06302 2.15375 2.21784 2.30175
4.14578 4.23824 4.32176 4,46395 4.57786 4.66948 4,743YO 4.80505
6.94816 7.01231 7,07340 7,18653 7,28719 7.37583 7,45350 7.52145
9.90902 9.95632 10.00254 10,09113 10.17396 10,25064 10.32109 10.38549
12.94321 12.98034 13.01695 13.08829 13.15666 13,22169 13,28313 13.34088
16.01508 16 04549 16'07561 16'13480 16'19232 16'24788 16'30126 16:35233
2,33057 2,35388 2.37313 2.43407 2:4&7 2;49988 2.51709 2.52755
4,85590 4.89868 4,93507 5.05651 5.12435 5,I9685 5.23473 5,25796
7.58098 7,63325 7,67931 7,84375 7.94249 8.05276 8.11200 8,I4874
10.44418 10.49757 10.54612 10,73135 10,99329 I1.07220 I 1,12194
13,39494 13.44540 13,49239 13,6821I 13,81453 13.97977 14.07568 14,13734
16 40099 16'44723 16'49103 16:675%? 16.81327 16 99451 17 '10441 17:17665
2.53458 2,54344 2.W79
5.27363 5 29343 5:30540
8.17369 8,20535 8.22458
11.19952 I I ,22607
14.18003 14,23500 14,26875
17.2?730 17.29317 17.33392
2.26530
10.85160
11.15M)I
B1, = 4.0 Bh O.ooO1 0.001 0.002 0.004 0.006 0,008
0.01 0.M
Ai O,ooOo3 0.00031
0,00061 0.00122 0,00183 0.00244 0.00304 O.M)602
0.04
0,01181
0
0.01735 O.OZ270 0.02781 0.051 05
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0.08
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0:3
0.07084
0.4 0.5
0.068)O 0.10311 0, I I657 0.12R57 Oil3963
0,14964
0.15882 0.19j52 0,22189 0.25717
4.0
0.27934
6.0
0,29427
BI.
40.0 50.0
60.0 80.0 100.0
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0.004 0.006 0,008 0.01 0.02
0.04 0,06 0.08 0. I 0.2 0.3 0.4 0.5
82
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O.ooOo1
0.00028 0.00035 0,00070
0.00320 0 o(1478 0'00636 0103793 0.01563 0;02311 0.03036 0,03739
0,00139 U ,00209 0.00278 O.UO347 O;U0690 0.O IO30 0.01365 0.01696
0.04420 0.05078 0,057I5 0.U633) 0.06925 0 096 6 0.1 1852 o:l53l8 0,17795 0,19605
0.02022 0,02344 0,02662 0.02914 0,03283 0.04752
-A,
0,30485 0.31266 0.31860 0.32326 0,32698 0,33800 0.34331 0,34838
0.20&7
0:22751 0.23425 0.23935 0,25426 0.2fi IO7 0;26702
0.35079 0.35220 0.35311 0,35423 0.35489
0.2~955 0,27089 0.27170 0.272fi2 0.27312
0.21988
w. .l
1,31390 I .31448 1;3151i I .3lfi40 1.31768 1.31895 I , 32022 1.32654
4.00758 4.03378 4.03100 4,03445 4.03489 4,03573 4.03577 4.03798
1,33900
4,01239 4.04679 4.051 I8 4.05556 4.0i730 4.09878 4.1 I997 4.14087
1,35123 1,36324 1.37502 1.43093 1,48229 I ,52968 1.57356
0,00021
0.06IOl
0.08450 0.10376 0, I1914
-A4 0,00000 0,00002 o.onoo4 0,00007 0.00011 0.00015
A. 0.OO)OO 0,00001
--Ai 0,OOWO 0 WOO1
0,00002 0.00004 0.00007 0,00009 0.oM)Il 0,00023
0 WOO8 0:OOOlS
0,00369 0,00552 0,00734 0.00915
0.00045 0.00068 O,ooO90 0,00113 0,00225 0-00337 0;00448 0,00559
0 00030 O'lXl045 0:00160 0 110075 0 'Oil 150 0'00224 0'00299 0100373
0,01094 0.01272 0.01449 0.O 1624 0.01798 0 02646 o:n3455 0.04948 0,06274 0.07437
0.00670 0,00780 O.OU889 0,00998 0.01106 0.01640 0.02 I59 0,03145 0.04059 0.048%
0,00019
0,00037 0.00074 0.00111 0 .oo I48 0.00185
0'00002 0'0W13 0'00004 0:00006
o
no447
0'00521
0100595 0 00668 0:00741 0.01103 0 .0I458 0,02144 0.02795 0.03408
BI, = 4.0
A.
P.
Aa
0,00030 0.00003 o.oooo7 0,00014
0,00008 0,00016 0,00032 0,00048 0.00064 0,00083 0,00160
--A
