Combinatorics in N = 1 Heterotic Vacua by Seung-Joo Lee

“…In the spirit of searching for standard-like heterotic vacua, emphasis is placed on the integer combinatorics of the model-building programme.…”
Get full text

Certain near-rings are rings, II by Howard E. Bell

“…We investigate distributively-generated near-rings R which satisfy one of the following conditions: (i) for each x,y∈R, there exist positive integers m, n for which xy=ymxn; (ii) for each x,y∈R, there exists a positive integer n such that xy=(yx)n. …”
Get full text

Perturbations of Regularized Determinants of Operators in a Banach Space by Michael Gil

“…Let be a separable Banach space with the approximation property. For an integer , let be a quasinormed ideal of compact operators in with a quasinorm , such that , where are the eigenvalues of and is a constant independent of . …”
Get full text

n-Coherence Relative to a Hereditary Torsion Theory by Zhu Zhanmin

“…Let R be a ring, τ=T,ℱ a hereditary torsion theory of mod-R, and n a positive integer. Then, R is called right τ-n-coherent if every n-presented right R-module is τ,n+1-presented. …”
Get full text

Lower Bounds on Solutions of Quadratic Polynomials Defined over Finite Rings by Ali H. Hakami

“…Let m be a positive integer and let Rm denote the ring Z/(m), and let Rmn denote the Cartesian product of n copies of Z/m. …”
Get full text

Fractional Electrodamage in A549 Human Lung Cancer Cells by Hilario Martines-Arano, Jose Alberto Arano-Martinez, Manuel Alejandro Mosso-Pani, Alejandra Valdivia-Flores, Martin Trejo-Valdez, Blanca Estela García-Pérez, Carlos Torres-Torres

“…Fractional electrodamage in A549 human lung cancer cells was analyzed by introducing a non-integer order parameter to model the influence of electrical stimulation on cellular behavior. …”
Get full text

Formulas for Generalized Two-Qubit Separability Probabilities by Paul B. Slater

“…For nonnegative half-integer and integer values of α, Q(k,α) (as well as P(k,α)) has descending roots starting at k=-α-1. …”
Get full text

Generalized Centered Binomial Distribution for Bimodal Lattice Signatures by Seungwoo Lee, Joo Woo, Jonghyun Kim, Jong Hwan Park

“…GCBD sampling consists of sampling uniformly random bit-strings and integer addition/subtraction operations, allowing for efficient constant-time implementation. …”
Get full text

Generation of address sequences with specified switching activity and address repeatability by V. N. Yarmolik, N. A. Shevchenko, V. А. Levantsevich, D. V. Demenkovets

“…On the basis of proposed restrictions, the notion of an integer decomposition diagram similar to the Young diagram is introduced, and the operation of its modification is defined.Conclusion. …”
Get full text

Global Behavior of a New Rational Nonlinear Higher-Order Difference Equation by Wen-Xiu Ma

“…Let k be a nonnegative integer and c a real number greater than or equal to 1. …”
Get full text

Self-Commutators of Composition Operators with Monomial Symbols on the Dirichlet Space by A. Abdollahi, S. Mehrangiz

“…Let 𝜑(𝑧)=𝑧𝑛,𝑧∈𝕌, for some positive integer 𝑛 and 𝐶𝜑 the composition operator on the Dirichlet space 𝒟 induced by 𝜑. …”
Get full text

On Edge H-Irregularity Strength of Hexagonal and Octagonal Grid Graphs by Muhammad Ibrahim, Ana Gulzar, Muhammad Fazil, Muhammad Naeem Azhar

“…The edge H-irregularity strength, ehsΓ,H, of a graph Γ is the smallest integer k, such that Γ has an H-irregular edge k-labeling. …”
Get full text

Probabilities as Values of Modular Forms and Continued Fractions by Riad Masri, Ken Ono

“…We consider certain probability problems which are naturally related to integer partitions. We show that the corresponding probabilities are values of classical modular forms. …”
Get full text

Convergence of p-series revisited with applications by Elom K. Abalo, Kokou Y. Abalo

“…In either case, we extend the results obtained by Hansheng and Lu (2005) to any integer k≥2. Some numerical examples are given.…”
Get full text

Pick’s Theorem in Two-Dimensional Subspace of R3 by Lin Si

“…In the Euclidean space R3, denote the set of all points with integer coordinate by Z3. For any two-dimensional simple lattice polygon P, we establish the following analogy version of Pick’s Theorem, kIP+1/2BP-1, where BP is the number of lattice points on the boundary of P in Z3, IP is the number of lattice points in the interior of P in Z3, and k is a constant only related to the two-dimensional subspace including P.…”
Get full text

The Combined Poisson INMA(q) Models for Time Series of Counts by Kaizhi Yu, Hong Zou

“…A new stationary qth-order integer-valued moving average process with Poisson innovation is introduced based on decision random vector. …”
Get full text

Application of the Multistep Generalized Differential Transform Method to Solve a Time-Fractional Enzyme Kinetics by Ahmed Alawneh

“…A comparative study between the new algorithm and the classical Runge-Kutta method is presented in the case of integer-order derivatives. The results demonstrate reliability and efficiency of the algorithm developed.…”
Get full text

Diffeomorphism groups of connected sum of a product of spheres and classification of manifolds by Samuel Omoloye Ajala

“…In this paper we give a complete classification of manifolds of the type (n,p,2) and we extend the result to manifolds of type (n,p,r) where r is any positive integer and p=3,5,6,7mod(8).…”
Get full text

Asymptotic Estimates for r-Whitney Numbers of the Second Kind by Cristina B. Corcino, Roberto B. Corcino, Nestor Acala

“…In this paper, asymptotic formulas for r-Whitney numbers of the second kind with integer and real parameters are obtained and the range of validity of each formula is established.…”
Get full text

Short signature based on factoring problem in the standard model by WANG Zhi-wei1, ZHANG Wei1

“…A short signature scheme based on factoring problem in the standard model was proposed.To design this sig-nature scheme,the generic construction of fully-secure signatures from weakly-secure signatures and a chameleon hash were employed.A signature in this scheme was compromised of one element in,and the public key was short,requir-ing only the modulus N,one element of,one integer and one pseudorandom function seed.Compared with Hohen-berger’s RSA scheme（Crypto 09）,the computaional cost of the sign algorithm and verification algorithm in this scheme is also much lower.…”
Get full text