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Thévenin's theorem and its dual, Norton's theorem, are widely used to make circuit analysis simpler and to study a circuit's initial-condition and steady-state response. [ 8 ] [ 9 ] Thévenin's theorem can be used to convert any circuit's sources and impedances to a Thévenin equivalent ; use of the theorem may in some cases be more convenient ...
As a result of studying Kirchhoff's circuit laws and Ohm's law, he developed his famous theorem, Thévenin's theorem, [1] which made it possible to calculate currents in more complex electrical circuits and allowing people to reduce complex circuits into simpler circuits called Thévenin's equivalent circuits.
TPTP (Thousands of Problems for Theorem Provers) [1] is a freely available collection of problems for automated theorem proving. It is used to evaluate the efficacy of automated reasoning algorithms. [2] [3] [4] Problems are expressed in a simple text-based format for first order logic or higher-order logic. [5]
The Extra Element Theorem (EET) is an analytic technique developed by R. D. Middlebrook for simplifying the process of deriving driving point and transfer functions for linear electronic circuits. [1] Much like Thévenin's theorem, the extra element theorem breaks down one complicated problem into several simpler ones.
The theorem was independently derived by German scientist Hermann von Helmholtz in 1853 [7] and by French telegraph engineer Léon Charles Thévenin (1857–1926) in 1883. [8] [9] [1] [2] This theorem in widely used as a circuit analysis simplification technique to convert any circuit's voltage sources and impedances to a Thévenin equivalent.
Kodaira vanishing theorem (complex manifold) Koebe 1/4 theorem (complex analysis) Kolmogorov extension theorem (stochastic processes) Kolmogorov's three-series theorem (mathematical series) Kolmogorov–Arnold representation theorem (real analysis, approximation theory) Kolmogorov–Arnold–Moser theorem (dynamical systems) Kőnig's theorem ...
Boundary value problems are similar to initial value problems.A boundary value problem has conditions specified at the extremes ("boundaries") of the independent variable in the equation whereas an initial value problem has all of the conditions specified at the same value of the independent variable (and that value is at the lower boundary of the domain, thus the term "initial" value).
In mathematics, the moving sofa problem or sofa problem is a two-dimensional idealization of real-life furniture-moving problems and asks for the rigid two-dimensional shape of the largest area that can be maneuvered through an L-shaped planar region with legs of unit width. [1] The area thus obtained is referred to as the sofa constant.