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- ...sics)|generating function transformations in classical mechanics|canonical transformation}} ...[[Generating function transformation#Derivative transformations|derivative transformation]]s). ...62 KB (10,478 words) - 19:07, 13 October 2024
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- ...ed by subjecting a random variable with a fixed distribution to a suitable transformation, such as a [[location–scale family]], or otherwise one of probability distr ...om variable]] with a fixed distribution to some suitable [[Transformation (function)|transformations]].<ref name=":0" /> Different types of group families are ...3 KB (437 words) - 01:34, 16 October 2024
- ...alar–vector multiplication]] and [[vector addition]], making them [[linear transformation]]s. ...otation]]s and most generally similarity transformations. However, [[shear transformation]]s and non-uniform scaling are not. Conformal linear transformations come i ...6 KB (893 words) - 05:44, 9 February 2024
- ...stabilizing transformation''' is a [[data transformation (statistics)|data transformation]] that is specifically chosen either to simplify considerations in graphica ...variance varies with the mean. However, if the simple variance-stabilizing transformation ...6 KB (855 words) - 12:46, 2 September 2024
- ...If it includes the [[identity function]], it is a [[monoid]], called a '''transformation''' (or '''composition''') '''monoid'''. This is the [[semigroup]] analogue A transformation semigroup of a set has a tautological [[semigroup action]] on that set. Suc ...8 KB (1,156 words) - 17:04, 11 December 2024
- ...is '''convexification''' – converting a non-convex function to a [[convex function]]. It is especially important in [[economics]] and [[mathematical optimizat == Concavification of a quasiconcave function by monotone transformation == ...4 KB (564 words) - 10:31, 5 November 2023
- The '''Cole–Hopf transformation''' is a change of variables that allows to transform a special kind of [[Pa ...th>w = \phi(u)</math>, where <math>\phi(\cdot)</math> is an unknown smooth function, we may calculate:<math display="block">w_{t} = \phi'(u)u_{t}, \quad \Delta ...4 KB (588 words) - 16:36, 18 December 2024
- ...ential map''' can be used as the [[Dynamical system (definition)|evolution function]] of [[Recurrence relation|the discrete nonlinear dynamical system]].<ref>[ The family of [[exponential function]]s is called the '''exponential family'''. ...2 KB (252 words) - 23:26, 22 March 2024
- ...orentz transformation|velocity boosts]], and the [[Parity (physics)|parity transformation]]. It is denoted as [[Generalized orthogonal group|O(1,3)]] and is often re ...rrent couplings|left currents]] and thus is not invariant under the parity transformation. ...3 KB (363 words) - 03:01, 25 July 2023
- {{Short description|Mathematical transformation that preserves distances}} ...'Euclidean transformation''' or '''Euclidean isometry''') is a [[geometric transformation]] of a [[Euclidean space]] that preserves the [[Euclidean distance]] betwee ...9 KB (1,317 words) - 01:54, 16 October 2024
- {{short description|Function used in computational complexity theory}} ...ational complexity theory]], a '''pseudo-polynomial transformation''' is a function which maps instances of one [[strongly NP-complete]] problem into another a ...6 KB (889 words) - 18:57, 13 July 2021
- {{broader|Transformation (mathematics)}} ...bb{R}^3</math> – such that the function is bijective so that its [[Inverse function|inverse]] exists.<ref name="Usiskin 2003 p. 84">{{cite book | last1=Usiskin ...8 KB (1,008 words) - 14:15, 13 February 2025
- ...is a generalization of [[linear-fractional programming]]. The [[objective function]] in a fractional program is a ratio of two functions that are in general n Let <math>f, g, h_j, j=1, \ldots, m</math> be [[real-valued function]]s defined on a set <math>\mathbf{S}_0 \subset \mathbb{R}^n</math>. Let <ma ...3 KB (501 words) - 14:37, 17 April 2023
- '''Landen's transformation''' is a mapping of the parameters of an [[elliptic integral]], useful for t ...math>\alpha</math> is the [[Angular eccentricity|modular angle]]. Landen's transformation states that if <math>\alpha_0</math>, <math>\alpha_1</math>, <math>\varphi_ ...6 KB (905 words) - 23:31, 5 October 2024
- .../ref> is a [[Monotonic function|monotone]] [[Spline (mathematics)|spline]] function. ...plines for regression analysis and [[data transformation (statistics)|data transformation]] when monotonicity is desired (constraining the regression coefficients to ...2 KB (284 words) - 23:59, 15 August 2023
- ...ag variety]] which are defined by a Hessenberg function ''h'' and a linear transformation ''X''. The study of Hessenberg varieties was first motivated by quest A ''Hessenberg function'' is a map ...2 KB (329 words) - 10:46, 9 October 2024
- |title = Tensor Product model transformation in polytopic model-based control }}</ref> proved that the [[TP model transformation]]<ref name=Baranyi04>{{cite journal ...6 KB (924 words) - 15:52, 18 December 2024
- ...ace invariant''' of any of certain [[differential operator]]s is a certain function of the coefficients and their [[derivative]]s. Consider a bivariate hyperb '''Theorem''': ''Two operators of the form are equivalent under [[gauge transformation]]s if and only if their Laplace invariants coincide pairwise.'' ...3 KB (468 words) - 05:19, 13 February 2020
- For a function <math>f: \mathbb{H} \rightarrow \mathbb{C}</math> (where <math>\mathbb{H}</ * The term <math>\frac{1}{(c\tau + d)^k}</math> adjusts for the transformation of <math>\tau</math> under <math>\gamma</math>. ...5 KB (724 words) - 05:16, 29 November 2024
- ...a [[polynomial]] mapping of [[degree of a polynomial|degree]] [[quadratic function|two]], is a simple and accessible demonstration of [[chaos theory|chaos]] i ...ision by 2π. Therefore, the angle is transformed according to the [[dyadic transformation]] (also known as the 2''x'' mod 1 map). As the initial value ''z''<sub>0</s ...3 KB (508 words) - 15:49, 14 August 2021
- In mathematics, the '''[[tensor product]]''' ('''TP''') '''model transformation''' was proposed by Baranyi and Yam<ref name=Baranyi04>{{cite journal |title = TP model transformation as a way to LMI based controller design ...14 KB (2,136 words) - 15:52, 18 December 2024