Solving the Problem of Linear Programming with Cost Coefficients and Grey Resources Using the Primal Simplex Algorithm by Farid Pourofoghi

“…For this purpose, by proving the desired theorems, we propose a method based on the initial simplex algorithm to solve grey linear programing problems. …”
Get full text

New versions of the Nyman-Beurling criterion for the Riemann hypothesis by Luis Báez-Duarte

“…For all p∈(1,∞) we prove the following theorems: (I) ‖M1‖p<∞ implies λ∈ℬ¯Lp, and λ∈ℬ¯Lp implies ‖M1‖r<∞ for all r∈(1,p). …”
Get full text

Analytical Solutions to Two-Dimensional Nonlinear Telegraph Equations Using the Conformable Triple Laplace Transform Iterative Method by Alemayehu Tamirie Deresse

“…Some basic properties and theorems for conformable triple Laplace transform are presented and proved. …”
Get full text

Singular Solutions to a (3 + 1)-D Protter-Morawetz Problem for Keldysh-Type Equations by Nedyu Popivanov, Tsvetan Hristov, Aleksey Nikolov, Manfred Schneider

“…We consider a properly defined, in a special function space, generalized solution to problem PK for which existence and uniqueness theorems hold. It is known that it may have a strong power-type singularity at one boundary point even for very smooth right-hand sides of the equation. …”
Get full text

Necessary Metatheory for the Critique of Sociological Theories by Hamid Masoudi, Ali Yousofi

“…These steps include identifying a theoretical problem or question, extracting the propositions and fundamental theorems of the theory, identifying and analyzing the assumptions of the theory, analyzing the compatibility of the theory, examining the connection of theory with other theories, examining the empirical validity of the theory, comparing theory with other theories, extracting similarities and differences, and theoretical links.…”
Get full text

New Method of Solving the Economic Complex Systems by Ya-Juan Yang, Chung-Cheng Chen, Yen-Ting Chen

“…To highlight the novelty of this research, this study especially applies the proposed theorems originally belonging to engineering to the field of economic applications.…”
Get full text

Algebraic Properties of First Integrals for Scalar Linear Third-Order ODEs of Maximal Symmetry by K. S. Mahomed, E. Momoniat

“…We also obtain counting theorems of the symmetry properties of the first integrals for such linear third-order ODEs. …”
Get full text

Stability of Virus Infection Models with Antibodies and Chronically Infected Cells by Mustafa A. Obaid, A. M. Elaiw

“…We have proven that, the uninfected steady state is globally asymptotically stable (GAS) if R0<1, the infected steady state without antibody immune response exists and it is GAS if R1<1<R0, and the infected steady state with antibody immune response exists and it is GAS if R1>1. We check our theorems with numerical simulation in the end.…”
Get full text

Navier-Stokes: Singularities and Bifurcations by Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales

“… This article presents substantial advances in the analysis of the Navier-Stokes equations for both compressible and incompressible fluids, focusing on the formation of singularities, hypercomplex bifurcations, and regularity in Sobolev and Besov spaces. Through new theorems, we extend the theory of singularities in fluid dynamics and introduce quaternionic bifurcations, representing an innovative extension of classical bifurcation theory. …”
Get full text

Logarithmic loop corrections, moduli stabilisation and de Sitter vacua in string theory by Ignatios Antoniadis, Yifan Chen, George K. Leontaris

“…Our result avoids no-go theorems of perturbative stabilisation due to runaway potentials, in a way similar to the Coleman-Weinberg mechanism, and provides a counter example to one of the swampland conjectures concerning de Sitter vacua in quantum grav- ity, once string loop effects are taken into account; it thus paves the way for embedding the Standard Model of particle physics and cosmology in string theory.…”
Get full text

Paley and Hardy's inequalities for the Fourier-Dunkl expansions by Anis Elgarna

“…Sato were still efficient in this case to establish the inequalities which have expected similarities with the classical case, and Hardy and Paley theorems for the Fourier–Bessel expansions due to the fact that the Bessel transform is the even part of the Dunkl transform. …”
Get full text

Theory and Application of Interval-Valued Neutrosophic Line Graphs by Keneni Abera Tola, V. N. Srinivasa Rao Repalle, Mamo Abebe Ashebo

“…In addition, we defined the vertex degree of IVNLG with some properties, and by presenting several theorems and propositions, the relationship between fuzzy graph extensions and IVNLGs was explored. …”
Get full text

Schur Algebras over C*-Algebras by Pachara Chaisuriya, Sing-Cheong Ong, Sheng-Wang Wang

“…Analogs of Schatten's theorems on dualities among the compact operators, the trace-class operators, and all the bounded operators on a Hilbert space are proved.…”
Get full text

Mixed Balanced Truncation for Reducing the Complexity of Large-Scale Electrical and Electronic System Simulations by Huy-Du Dao, Thanh-Tung Nguyen, Ngoc-Kien Vu, Van-Ta Hoang, Hong-Quang Nguyen

“…The main contributions of this work in developing the new reduction algorithm include the introduction of a novel definition of mixed balanced systems and theoretical advancements through the development of theorems, lemmas, and corollaries accompanied by rigorous mathematical proofs. …”
Get full text

Centralizer on Lie-ideal of Semi-prime Inverse Semi-ring by Ali JA. Abass, Mohammed Yasin, Shrooq Bahjat Smeein, Abdulahman H. Majeed

“…       The summary purpose of this work: We extending certain results on α-centralizer of inverse semiring under specific conditions, achieve new results on lie ideal of inverse semiring with some consequent collieries, generalize assorted α-centralizer for lie ideal of inverse semiring with some collieries, investigate significant theorems on jordan α-centralizer of prime inverse semiring and we extend certain results of α-centralizers and jordan α-centralizers on lie-ideals of prime semi-rings to prime inverse semi-ring, we generalizing the results of Mary in to α-centralizer on semiring, Also we generalize our results on lie ideals of inverse semiring. …”
Get full text

Non-diagonal DVCS and transition GPDs: a unified framework for spinless hadron case γ * π → γππ by Sangyeong Son, Kirill M. Semenov-Tian-Shansky

“…We work out the basic properties of π → ππ transition GPDs and establish the soft pion theorems at the 2π production threshold. We construct the partial wave expansion of π → ππ transition GPDs in the two-pion decay angles and employ the dispersive approach to constrain π → ππ transition GPDs in terms of ππ-scattering phases with help of the Omnès representation. …”
Get full text

Positive Solutions for a System of Nonlinear Semipositone Boundary Value Problems with Riemann-Liouville Fractional Derivatives by Xiaowei Qiu, Jiafa Xu, Donal O’Regan, Yujun Cui

“…Under some appropriate conditions for semipositone nonlinearities, we use the fixed point index to establish two existence theorems. Moreover, nonnegative concave and convex functions are used to depict the coupling behavior of our nonlinearities.…”
Get full text

Elements of mathematical phenomenology and analogies of electrical and mechanical oscillators of the fractional type with finite number of degrees of freedom of oscillations: linea... by Katica R. (Stevanović) Hedrih, Gradimir V. Milovanović

“…Tables with elements of mathematical phenomenology and analogies of oscillatory mechanical and electrical systems of fractional type are shown, as well as the principal fractional-type eigen-modes for a class of discrete mechanical or electrical oscillators, when these fractional-type modes are independent and there is no interaction between them. A number of theorems on the properties of independent modes of fractional type and the energy analysis of the discrete systems are also given.…”
Get full text

A geometric neural solving method based on a diagram text information fusion analysis by Bin Ma, Pengpeng Jian, Cong Pan, Yanli Wang, Wei Ma

“…This involves combining the knowledge of mathematical theorems, generating a solution sequence, and executing to obtain the answer. …”
Get full text

On Decompositions of Matrices over Distributive Lattices by Yizhi Chen, Xianzhong Zhao

“…This generalizes and extends the decomposition theorems of matrices over finite distributive lattices, chain semirings, fuzzy semirings, and so forth. …”
Get full text