generalized exponential growth model 5.0 , observe that, at the point x G 0,. 1. ¡. ¦ x . . T . v. f x, , a ,. f x, , a s x exp y x s Ag x,. ,. Ž . Ž . Ž . Ž . ny1. T x ž. / a ny1 jq1 y.
Jun 19, 1992 - 1. 1. < qK(r) < th(arth r + (K- 1)/x(r')), for K (1, ), r. (0, 1)with r'= X/1 r2 ... and f(1) 81 1/K. Then fis strictly increasing ifK > 1 and strictly decreasing.
Elementary considerations show that the second sumon the right can only be increased if the prime divisors of n, say u in number, are replaced by the first.
IN TWO CHARACTER STRATIFIED SAMPLING. S. MAQBOOL AND S. PIRZADA. ABSTRACT. In this paper,we consider the problem of sample allocation in ...
637. Notre Dame Journal of Formal Logic. Volume XIX, Number 4, October 1978. NDJFAM. AN ADDITIONAL REMARK ON SELF-CONJUGATE FUNCTIONS.
Aug 14, 1991 - The series in Theorem B diverges pointwise. .... Proposition 3.20 of [BJR2] (or by direct computation) that ...... UNIVERSITY OF MISSOURI. ST.
R+(-, 0) and R"- R+ R, thus generalizing the result in [4, Theorem A] which was obtained by different methods. The integral representation obtained for positive ...
ADDENDUM TO: TORSION AND DEFORMATION. OF CONTACT METRIC STRUCTURES. ON 3-MANIFOLDS. (TÏhoku Math. J. 39 (1987), 365-372). SAMUEL ...
of a normalized quasi-stationary distribution and a Yaglom limit for a class ...... We now combine Lemmas 2 and 3 to get our first real recurrence statement.
perturbations of a flow or diffeomorphism of M leaving invariant a compact submanifold. Anosov [2] considers perturbations of a non- singular flow, which of ...
Mar 15, 2002 - (Discrete) Gruss' inequality, a complement of $6eby\check{s}evs$ in- ..... [5] S. IZUMINO, H. MORI and Y. SEO, On Ozeb's inequality, J. Inequal.
Aug 2, 1988 - D.E. BLAIR AND R. SHARMA. 1. Introduction. In 1941, Myers [4] proved that a complete Riemannian manifold for which. Ric > 8 > 0, is compact.
y(0) = 0, lim y(t) = 0, y(0) exists, #(ί) > 0 on (0, oo). The problem is singular in a second way, in that we will allow F{η, t) to have a singularity at t = 0. The problem ...
jq1. Ž . 3. Aperiodic recurrent Markov chain: Let X be a Markov chain with. t t g state space of cardinality p and a transition matrix such that any transi-. Ž.
Mar 20, 2002 - D.J. GRUBB AND TIM LABERGE. ABSTRACT. We construct ... quasi-measures that show that the strong and weak smooth- ness properties for ...
The problem of return to equilibrium is phrased in terms of a C*-algebra 3ί, ... results concerning the existence of limit states are obtained by techniques similar to ...
Nov 15, 2015 - the introduction of statistical software, but using a com- puter to speed up ... ponent of data science,
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Jul 18, 2018 - and binary predicates. E19E2,F. (written medially). Let Ï be the conjunction of the following sentences. fl V A2x) A ^-l (Axx A A2x)]. V -> Atx A A^ ...
Department of Mathematics, Michigan State University, East Lansing, ... tive spaces and determine warped products which satisfy the equality case of the ...
symbol, $T\geq 0$ , if $(Tx, x)\geq 0$ for all $x\in H$. In particular, we ..... It is known in [23] that the Furuta inequality(1) is not true for $t>0$ and. $p
Sankar and Ismail 2010 for Herschel-Bulkley fluid model and Nagarani and .... Sankar and Ismail 32 investigated the effects of periodic body accelerations in ...
The following argument is obviously invalid: Someone is a Democrat. Hence Richard Nixon is a Democrat. Nevertheless, a "proof" for this argument can be ...
JOHN P. BURGESS. Introduction. Responding to Harvey's theories about the circulation of the blood, Dr. Diafoirus argues (a) that no such theory was taught by ...
tion (5) in case AiAj = AjAi, i,j = 0,1, ⢠⢠-, m. For the sake of ... Let J\/( denote the closure in Mn of the algebra {p(A, B) : p is a poly- ... Control 5 (1967), 575-587.
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS Volume 3, Number 1, Winter 1973
POINTWISE COMPLETENESS OF DIFFERENTIAL-DIFFERENCE EQUATIONS R. M . BROOKS AND K. S C H M I T T
1. Introduction. Let A^, i = 0 , 1 , * * -, m, be complex n X n matrices and let x be a complex n-dimensional column vector. Further, let 0 < TY < r 2 < • • * < Tm be given real numbers. We consider the system of differential-difference equations x'(t) = Ao*(*)+ A ^ t - T i )
+ ••• + A ^ - r J ,
t^O.
n
Let C denote n-dimensional complex Euclidean space and let fB denote the set of all continuous functions from [•— Tm, 0] into C n . If ip G i S , we denote by x(t;
