Results 81 to 90 of about 2,059 (204)

Contexts in Mathematical Reasoning and Computation [PDF]

, 1995
Contexts are sets of formulas used to manage the assumptions that arise in the course of a mathematical deduction or calculation. Although context-dependent reasoning is commonplace in informal mathematics, most contemporary symbolic computation systems ...
Farmer, William M., Thayer, F.Javier, Guttman, Joshua D.   +2 more
core   +1 more source

Competitive Equilibria in Semi-Algebraic Economies [PDF]

This paper examines the equilibrium correspondence in Arrow-Debreu exchange economies with semi-algebraic preferences. We show that a generic semi-algebraic exchange economy gives rise to a square system of polynomial equations with finitely many ...
Karl Schmedders, Felix Kuber
core  

Algebraic discrete causal models [PDF]

, 2010
The main feature of the paper is to show that Algebraic Statistics is a natural framework to address issues of causality and to help discern a total cause.
Thwaites, Peter, Riccomagno, Eva, Smith, J. Q.   +2 more
core  

An analytical exploration of dark and bright solitary wave solutions of time-fractional (3+1) -dimensional generalized Painlevé-type equation

Scientific Reports
This research study constructs and examines solitary wave solutions to the Katugampola time-fractional $$(3 +1)$$ -dimensional generalized Painlev’e-type (also known as P-type) equation with the help of the generalized $$(r+\frac{G'}{G})$$ -expansion ...
Mohsin Khan, Rashid Ali, Ibraheem M. Alsulami, Amer Alsulami   +3 more
doaj   +1 more source

On the Use of Resultant-Based Frequency-Sweeping Approaches to Construct Stability Charts for Systems With Two Delays

IEEE Access
The resultant-based frequency-sweeping approach is appealing for creating a stability map to study stability robustness against delay uncertainties. It relies on converting the system’s transcendental characteristic function into a polynomial form
Chyi Hwang, Tiao-Yang Cai, Li-Shin Lu, Tzu-Chi Wang   +3 more
doaj   +1 more source

Symbolic algebraic and validated numerical computation [PDF]

, 2022

core  

Noise effect on plasma solitons in the realm of ion sound and Langmuir waves stochastic coupled equations

Boundary Value Problems
In this study, the impact of multiple noise on the stochastic coupled equations of sound waves with Langmuir waves in the Itô sense is examined. This model investigates the Langmuir collapsing wave, a nonlinear phenomena that offers valuable scientific ...
Fatemah Mofarreh
doaj   +1 more source

New Solutions of Breaking Soliton Equation Using Softmax Method

Journal of Applied Mathematics
This study presents the application of a novel Softmax method to obtain exact analytical solutions of the breaking soliton equation, a nonlinear partial differential equation that models complex wave phenomena. By transforming the governing equation into
Nguyen Minh Tuan, Phayung Meesad, Nguyen Hong Son   +2 more
doaj   +1 more source

Solving differential‐algebraic equations in power system dynamic analysis with quantum computing

Energy Conversion and Economics
Power system dynamics are generally modeled by high dimensional non‐linear differential‐algebraic equations (DAEs) given a large number of components forming the network.
Huynh T. T. Tran, Hieu T. Nguyen, Long T. Vu, Samuel T. Ojetola   +3 more
doaj   +1 more source

LLM-Powered, Expert-Refined Causal Loop Diagramming via Pipeline Algebra

Systems
Building a causal-loop diagram (CLD) is central to system-dynamics modeling but demands domain insight, the mastery of CLD notation, and the ability to juggle AI, mathematical, and execution tools.
Kirk Reinholtz, Kamran Eftekhari Shahroudi, Svetlana Lawrence   +2 more
doaj   +1 more source