We show how to find series expansions for π of the form π = ∞ n=0 S(n) mn pn a n , where S(n) is some polynomial in n (depending on m, p, a). We prove that there exist such expansions for m = 8k, p = 4k, a = (−4) k , for any k, and give explicit examples for such expansions for small values of m, p and a.

Recent high-statistics Au+Au and Cu+Cu runs at RHIC have provided a wealth of new data that allow STAR to answer several outstanding questions regarding the nature of the hot, dense medium that is created in ultrarelativistic heavy-ion collisions. However, the new data also raise new questions that require further study. Here, we focus on a few qualitatively new results presented by STAR for th...

We give a brief account of two recent applications of the harmonic superspace method: (i) an off-shell description of torsionful (4, 4) supersymmetric 2D sigma models in the framework of SU(2) × SU(2) harmonic superspace and (ii) the harmonic superspace formulation of “small” N = 4 SU(2) superconformal algebra and the related super KdV hierarchy.

We construct several new (v; r, 8; A) supplementary difference sets with v odd and T' + .5 = A + (v 1) /2. They give rise to D-optimal designs of order 2v. D-optimal designs of orders 158, 194, and 290 are constructed here for the first time. We also give an up to date survey of this class of supplementary difference sets in arbitrary Abelian groups of odd order v < 100. o. Introduction Supplem...

Some new Iyengar type inequalities for an integral are obtained by using the generalised Taylor formula with integral remainder.

In this paper we introduce and study some new sequence spaces.

We give some new optimumGolomb rectangles found by computer search. AMS Subject Classi cation. 05B99 In [2] Robinson de ned a Golomb rectangle as an N M array of ones and zeros such that the two-dimensional autocorrelation has three values: 0; 1 and K, where K is the number of ones in the array. This means that the positions of the ones in any nonzero integral translation of the rectangle will ...

In this paper the author probes the identity of Candranandana a well known author and commentator of various works in Ayurvedic literature by interpreting the classical texts.

0 Theorem 4, unlike Theorem 2, is not a s'pecial case of a known general result: it is not known if the statement of Theorem 4 holds for twoaccess channels that are not pairwise reversible. There is a converse to Theorem 4: For any fixed rate strictly inside R o , there exists a code with that rate for which X I 1 + o(N). This result holds for general twoaccess channels, and is proved by random...