Two Parameters For Ramanujan's Theta-Functions - Project Euclid
Recommend Documents
In this paper fixed length confidence intervals based on two-stage sampling ... here by taking advantage of the best one-stage procedures in each stage.
0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2. S. X. Zero gravity. Non-zero gravity. 2 hours. 1 day. 5 days. 20 days. Side-inlet. Figure 4: Comparison between ...
derivative/7 share two finite values (counting multiplicities), then/(z) = We say two meromorphic functions f(z) and g(z) share the finite complex value c if f(z) â c ...
[3] DOWNHAM, D. and FOTOPOLOUS, S. (1988). The transient behaviour of the simple random walk in the plane. J. Appl. Probab. 25 58â69. [4] DVORETZKY ...
Ew+2 , when n > 1 and /has nowhere zero normal curvature. Counter- ... The assumption of nowhere zero normal curvature is ..... NEWPORT NEWS, VA 23602 ...
ERAN SHMAYA,. â âââ Tel Aviv University. Abstract. In a decision problem with uncertainty a decision maker receives partial information about the actual state ...
ysis includes missing data, DIC can be constructed in different ways and its use ..... section, we discuss the steps involved in calculating DICO for a selection model .... One of the original reasons for using reweighting was to speed up the ...
Apr 15, 1981 - and $R[y]\subset R((\theta))$ . ... and let it be $\theta^{-(n/d)}+a_{1}\theta^{-(n/d)+1}+\cdots+a_{nfd}+a_{-1}\ .... Let $\sigma=\tau+\pi t_{\delta}$.
(1.2) x(0) = x(Ï) = 0 , with /: Ix H x H â> H, keR, I = [0, Ï] and H is a real Hubert space. .... If G is the scalar Green function associated to the problem. -x"(t) - kx\t) ...
multipole moments exerted by the particles on the fluid and the gradients of ... Further progress can be made if the flow is axisymmetric, which happens when the ... Singular perturbation theory, valid for two spheres near touching, has also been use
and is shown here to hold both in two and three dimensions. Incompressible, ... We consider an ideal three-dimensional flow in a domain without boundary and.
some of the basic features of Barwise and Perry's situation semantics. The ... former one and considers a set of actual situations, so that the notion of con-.
Southwestern University of Finance and Economics,. â. University of Melbourne,â . Chinese University of Hong Kongâ¡ and Princeton University§. Two-sample ...
Mar 17, 1998 - 8, 12]. In order to calculate the approximate solution by collocation ... two-grid iteration scheme is presented for the solution of such systems.
the model parameter (e.g., temperature) is above the critical point and, therefore, ... caying long-range models above the critical dimension, using the lace ...
exceptionsâfor example, 'Santa Claus exists' does not have a false presupposi- .... there is a sentence B in that language containing exactly n atomic sentences.
May 13, 2002 - Chlodowsky polynomials in a triangular domain. There are many ... may be found in [4, 5]. We will prove ... Let (bn) be a sequence of positive numbers with ... y) â f(x, y)| = 0 holds for all functions f which are continuous in x â¥
Ifker(Sg/) = S2K, then we can define S^ Æ: S3K ... S21-type, two additional 23 ,2y ze2-types and lastly the types S3^2)» "0 not classified by Mather. 3. Principal ...
the algebra of Borel subsets of X. A set E C T is called ^-analytic if it can be represented as a result of the ^-operation of Suslin applied to elements of 2. An.
The exponential statistical manifold: mean parameters, orthogonality and space transformations. GIOVANNI PISTONE 1 and MARIA PIERA ROGANTIN2.
[22] Leonard Gillman and Meyer Jerison, Rings of Continuous Functions,D. Van Nostrand .... [57] Howard J. Wilcox, Dense subgroups of compact groups, Proc.
Mixed models, robust estimation, von Mises method. 1493 ... for [Dudley (1992)]. .... To conclude the uniqueness of c, let us notice that by the first part of (A2), d.
1-3. Each line (point) is incident with 1 + s points (1 + t lines). Throughout this note, P will ... D. G. Higman and C. Sims, particularly as developed in [2] and [3].
Let (X,d)be a metric space, call ÎÎ(X, ε) the minimum number of balls of d-radius ε ... Hausdorff Dimension of Hyperbolic Sets of Diffeomorphisms and Flows. We recall the .... on B(0x, r), the ball of center zero and radius r in Ex and maps into
Two Parameters For Ramanujan's Theta-Functions - Project Euclid
Apr 20, 2005 - volving Ramanujan's theta-functions (Ð¥) for any positive real numbers ... using modular identities, transformation formulae for theta-functions.
