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Cadabra [2] is a computer algebra system (CAS) designed specifically for the solution of problems encountered in field theory. It has extensive functionality for tensor polynomial simplification including multi-term symmetries, fermions and anti-commuting variables, Clifford algebras and Fierz transformations, implicit coordinate dependence ...
In discrete calculus and the calculus of finite differences, a function defined on an interval of the integers is usually called a sequence. A sequence could be a finite sequence from a data source or an infinite sequence from a discrete dynamical system.
In mathematics, the conjugate gradient method is an algorithm for the numerical solution of particular systems of linear equations, namely those whose matrix is positive-semidefinite. The conjugate gradient method is often implemented as an iterative algorithm , applicable to sparse systems that are too large to be handled by a direct ...
Many differential equations cannot be solved exactly. For practical purposes, however – such as in engineering – a numeric approximation to the solution is often sufficient. The algorithms studied here can be used to compute such an approximation. An alternative method is to use techniques from calculus to obtain a series expansion of the ...
December 10, 2024 at 6:43 PM. By Jody Godoy (Reuters) -A U.S. judge blocked the pending $25-billion merger of U.S. grocery chains Kroger and Albertsons on Tuesday, in a win for the Federal Trade ...
Ryan Beeler and his wife, Melissa, flew from their home in Oklahoma to New York City to celebrate his 40th birthday. Before they went, the couple decided to watch Elf to get into the holiday ...
Berberine, a plant compound traditionally used in herbal medicine, is today commonly stocked on the shelves of health food stores and pharmacies as a supplement.. Berberine supplements gained ...
The Banach fixed point theorem is then invoked to show that there exists a unique fixed point, which is the solution of the initial value problem. An older proof of the Picard–Lindelöf theorem constructs a sequence of functions which converge to the solution of the integral equation, and thus, the solution of the initial value problem.