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For any integer $r\geqslant 2$, using the $q$-Pfaff-Saalsch\"utz identity, we prove that there exists a (unique) sequence of Laurent polynomials $\{b^{(r)}_k(q)\}_{k=0}^\infty$ in $q$ with nonnegative...
This paper presents a post-Newtonian (PN) template family of gravitational waveforms from inspiralling compact binaries with non-precessing spins, where the spin effects are described by a single "red...
The cultural infrastructure that made possible Galileo’s invention of modern physics is discussed. The brand new element of modern physics is claimed to be firm belief in fundamental structure of the ...
We present a conjecture on integer arithmetic which implies that there is an algorithm that for each recursively enumerable set M \subseteq \mathbb{N} given by a Diophantine representation computes a...
Question Isotropy      Axions   Photons  Polarization  Lorentz and Poincarè Invariance       font style='font-size:12px;'> 2010/11/12
The “cosmological principle” was set up early without realizing its implications for the horizon problem, and almost entirely without support from observational data. Consistent signals of anisotropy...
To the Question on Double Extensive Air Showers Nature     Question  Double Extensive Air Showers Nature       font style='font-size:12px;'> 2011/1/5
Double Extensive Air Showers were discovered over fourth century back. But up to now there is no adequate explanation of its nature. In this paper is expected that such showers are the result of break...
On a question by Corson about point-finite coverings      coverings of Banach spaces  point- nite coverings  tilings       font style='font-size:12px;'> 2010/12/10
We answer in the armative the following question raised by H. H. Corson in 1961: " Is it possible to cover every Banach space X by bounded convex sets with nonempty interior in such a way that no poi...
Three remarks on a question of Aczél      question of Aczél        font style='font-size:12px;'> 2010/11/26
Three remarks on a question of Aczél.
On an Open Question Regarding an Integral Inequality     Integral inequalitiy  AG inequality       font style='font-size:12px;'> 2008/6/30
In the paper "Notes on an integral inequality" published in J. Inequal. Pure & Appl. Math., 7(4) (2006), Art. 120, an open question was posed. In this short paper, we give the solution and we generali...
On a Question of Milman and Alesker Concerning the Monotonicity of a Domain Functional。
The confidence of the respondent to answer sensitive questions is more,if one of the two questions belongs to non-sensitive attribute unrelated to sensitive characteristics Greenberg et al.[2]. Seeing...
Some Results Related to a Question of Hinkkanen     meromorphic functions    uniqueness    sharing values       font style='font-size:12px;'> 2007/12/11
In this paper, we prove several results concerning meromorphic functions $f$ and $g$ of hyper-order less than one such that $f^{(j)}$ and $g^{(j)}$ have the same zeros and poles for $j = 0, 1, 2.$ We ...

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