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We study f(R)-gravity with torsion in presence of the most general ELKO matter. We check the consistency of the conservation laws with the matter field equations; we discuss some mathematical features...
We investigate the location of the (unique) hot spot in a convex heat conductor with unitary initial temperature and with boundary grounded at zero temperature.
We consider the following conjecture: if X is a smooth n-dimensional projective variety over a field k of characteristic zero, then there is a dense set of reductions Xs to positive characteristic suc...
This is a continuation of paper [7]. On any toric Fano manifold, we discuss the behavior of limit metric of a sequence of metrics, which are solutions to a continuity family of complex Monge-Amp`ere e...
We show that the 2  2  2 interference network, i.e., the multihop interference network formed by concatenation of two 2-user interference channels achieves the min-cut outer bound value of 2 DoF, fo...
We use the moduli matrix approach to study the moduli space of 1/4 BPS kinks supported by vortices in the Higgs phase of N = 2 supersymmetric U(N) gauge theories when non-zero masses for the matter hy...
Lehmer’s totient problem consists of determining the set of positive integers n such that '(n)|n − 1 where ' is Euler’s totient function. Any such composite number is a Carmichael number.
Recently Simmons and Cardy predicted a formula for the prob-ability that the chordal SLE8/3 path passes to the left of two points in the upper half-plane. The purpose of this note is to bring it to at...
Using the orbital-free density functional theory as a model theory, we present an analysis of the field theoretic approach to quasi-continuum method. In particular,by perturbation method and multiple ...
The quasi-periodic doubling cascade is shown to occur in the transition from regular to weakly turbulent behaviour in simulations of incompressible Navier-Stokes flow on a three-periodic domain.
A new problem formulation is presented for the Gaussian interference channels (GIFC) with two pairs of users, which are distinguished as primary users and secondary users, respectively. The primary u...
It is easy to see that no n-REA set can form a (non-trivial) min-imal pair with 00 and only slightly more dicult to observe that no !-REA set can form a (non-trivial) minimal pair with 000.
This short text is for readers who are confident in basic category theory but know little or nothing about toposes. It is based on some impromptu talks given to a small group of category theorists. I ...
The explicit formulas expressing harmonic sums via alternating Euler sums (colored multiple zeta values) are given, and some explicit evaluations are given as applications.
Together with the concept of reversibility, another relevant physical notion is time-symmetry, which expresses that there is no way of distinguishing between backward and forward time directions. This...

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