Results 21 to 30 of about 786,670 (261)
Deterministic Identity Testing for Sum of Read-Once Oblivious Arithmetic Branching Programs [PDF]
, 2015 A read-once oblivious arithmetic branching program (ROABP) is an arithmetic branching program (ABP) where each variable occurs in at most one layer. We give the first polynomial time whitebox identity test for a polynomial computed by a sum of constantly
Gurjar, Rohit +3 more
core +3 more sources
A certain two-term exponential sum and its fourth power means
AIMS Mathematics, 2020 The main purpose of this article is using the properties of the Legendre’s symbol and the classical Gauss sums to study the calculating problem of the fourth power mean of a certain two-term exponential sums, and give an interesting calculating formula ...
Zhang Jin, Zhang Wenpeng
doaj +1 more source
Nonlinear Analysis, 2023 A new fractional difference with an exponential kernel function is proposed in this study. First, a difference operator is defined by the exponential function.
Guang Yang, Guo-Cheng Wu, Hui Fu
doaj +3 more sources
Unicyclic graphs with extremal exponential Randić index
Mathematical Modelling and Control, 2021 Recently the exponential Randić index $ {{\rm e}^{\chi}} $ was introduced. The exponential Randić index of a graph $ G $ is defined as the sum of the weights $ {{\rm e}^{{\frac {1}{\sqrt {d \left(u \right) d \left(v \right) }}}}} $ of all edges $ uv $ of
Qian Lin, Yan Zhu
doaj +1 more source
Large Deviations for Hawkes Processes with Randomized Baseline Intensity
Mathematics, 2023 The Hawkes process, which is generally defined for the continuous-time setting, can be described as a self-exciting simple point process with a clustering effect, whose jump rate depends on its entire history.
Youngsoo Seol
doaj +1 more source
A class of binary sequences with two-valued cross correlations
AIMS MathematicsLet $ p $ be an odd prime with $ p\equiv 7\pmod{12} $, $ \frac{p-1}2 $ be the least integer such that $ 2^{\frac{p-1}2}\equiv 1\pmod p $, and $ q = 2^{\frac{p-1}2} $. Let $ \alpha $ be a primitive element of the finite field $ \Bbb F_{q} $ and $ \beta = \
Jianying Rong +3 more
doaj +1 more source
Problem of modelling a layered medium taking into account the creep of its materials
MATEC Web of Conferences, 2018 Problems for heterogeneous materials arise in many areas of construction. This article deals with elastic-creeping layered composite materials. Relations of the theory of linear heredity of Boltzmann-Volterra are accepted.
Bobyleva Tatiana, Shamaev Alexei
doaj +1 more source
Exponential sum approximations for $t^{-\beta}$
, 2017 Given $\beta>0$ and $\delta>0$, the function $t^{-\beta}$ may be approximated for $t$ in a compact interval $[\delta,T]$ by a sum of terms of the form $we^{-at}$, with parameters $w>0$ and $a>0$. One such an approximation, studied by Beylkin and Monz\'on,
B Alpert +6 more
core +1 more source
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2020 We obtain new bounds of exponential sums modulo a prime $p$ with binomials $ax^k + bx^n$. In particular, for $k=1$, we improve the bound of Karatsuba (1967) from $O(n^{1/4} p^{3/4})$ to $O\left(p^{3/4} + n^{1/3}p^{2/3}\right)$ for any $n$, and then use it to improve the bound of Akulinichev (1965) from $O(p^{5/6})$ to $O(p^{4/5})$ for $n | (p-1)$.
Shparlinski, Igor, Voloch, Felipe
openaire +3 more sources
The exponential distribution as the sum of discontinuous distributions [PDF]
Bulletin of Computational Applied Mathematics, 2013 We show that for any natural number $n$, an exponential distribution can be written as the sum of $n$ discontinuous variables and another exponential distribution, all of them independent.
José Luis Palacios
doaj