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In mathematics, a change of variables is a basic technique used to simplify problems in which the original variables are replaced with functions of other variables. The intent is that when expressed in new variables, the problem may become simpler, or equivalent to a better understood problem.
Using the XOR swap algorithm to exchange nibbles between variables without the use of temporary storage. In computer programming, the exclusive or swap (sometimes shortened to XOR swap) is an algorithm that uses the exclusive or bitwise operation to swap the values of two variables without using the temporary variable which is normally required.
Calculator is a software calculator released by Sabec for the Nintendo Switch, a video game console, in May 2021.It was widely criticized for its US$10 price point and platform, with critics noting that better-suited devices featured free software with equivalent functionality.
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Let X # denote the algebraic dual space of an R-module X. Let X and Y be R-modules. If u : X → Y is a linear map, then its algebraic adjoint or dual, [8] is the map u # : Y # → X # defined by f ↦ f ∘ u. The resulting functional u # (f) is called the pullback of f by u. The following relation characterizes the algebraic adjoint of u [9 ...
Theorem — Let X be a locally compact Hausdorff space equipped with a finite Radon measure μ, and let Y be a σ-compact Hausdorff space with a σ-finite Radon measure ρ. Let φ : X → Y be an absolutely continuous function (where the latter means that ρ(φ(E)) = 0 whenever μ(E) = 0).
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A point P has coordinates (x, y) with respect to the original system and coordinates (x′, y′) with respect to the new system. [1] In the new coordinate system, the point P will appear to have been rotated in the opposite direction, that is, clockwise through the angle . A rotation of axes in more than two dimensions is defined similarly.