Results 11 to 20 of about 26,867 (262)
Some remarks on connectors and groupoids in Goursat categories [PDF]
We prove that connectors are stable under quotients in any (regular) Goursat category. As a consequence, the category $\mathsf{Conn}(\mathbb{C})$ of connectors in $\mathbb{C}$ is a Goursat category whenever $\mathbb C$ is.
Marino Gran +2 more
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Algebraic solution for the classical harmonic oscillator
The harmonic oscillator is one of the most studied systems in Physics with a myriad of applications. One of the first problems solved in a Quantum Mechanics course is calculating the energy spectrum of the simple harmonic oscillator with analytic and ...
Murilo B. Alves
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Algebraic Methods in the Congested Clique [PDF]
In this work, we use algebraic methods for studying distance computation and subgraph detection tasks in the congested clique model. Specifically, we adapt parallel matrix multiplication implementations to the congested clique, obtaining an $O(n^{1-2/ω})$ round matrix multiplication algorithm, where $ω< 2.3728639$ is the exponent of matrix ...
Keren Censor-Hillel +5 more
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Algebraic Shifting and Exterior and Symmetric Algebra Methods [PDF]
26 pages. Revised version. Proofs of theorems 2.10 (now 2.11) and 2.11 (now 2.12) corrected. Exposition improved with some reordering.
Nagel, Uwe +2 more
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The Algebraic Method in Tree Percolation [PDF]
to appear in SIAM Journal on Discrete ...
Fatemeh Mohammadi +2 more
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Algebraic Methods for Achieving Super-Resolution by Digital Antenna Arrays
The actual modern problem of developing and improving measurement and observation systems (including robotic ones) is to increase the volume and quality of the information received.
Boris A. Lagovsky, Evgeny Ya. Rubinovich
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Formalization and Implementation of Algebraic Methods in Geometry [PDF]
We describe our ongoing project of formalization of algebraic methods for geometry theorem proving (Wu's method and the Groebner bases method), their implementation and integration in educational tools.
Filip Marić +3 more
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Algebraic Methods for Optimization Problems [PDF]
We argue for the benefits of relations over functions for modelling programs, and even more so for modelling specifications. To support this argument, we present an extended case study for a class of optimization problems, deriving efficient functional programs from concise relational specifications.
Richard S. Bird +2 more
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Solving Fuzzy Polynomial Equations Systems Using Wu’s Method [PDF]
In this paper, we introduce a method grounded in Wu’s algorithm for determining real solutions of systems of fuzzy polynomial equations. We initially calculate the r-cuts of a fuzzy polynomial equations system and derive a parametric representation for ...
Hamed Farahani
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Solution Bounds and Numerical Methods of the Unified Algebraic Lyapunov Equation
In this paper, applying some properties of matrix inequality and Schur complement, we give new upper and lower bounds of the solution for the unified algebraic Lyapunov equation that generalize the forms of discrete and continuous Lyapunov matrix ...
Juan Zhang, Shifeng Li, Xiangyang Gan
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