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A word equation is a formal equality:= = between a pair of words and , each over an alphabet comprising both constants (c.f. ) and unknowns (c.f. ). [1] An assignment h {\displaystyle h} of constant words to the unknowns of E {\displaystyle E} is said to solve E {\displaystyle E} if it maps both sides of E {\displaystyle E} to identical words.
In linguistics, conjugation (/ ˌ k ɒ n dʒ ʊ ˈ ɡ eɪ ʃ ən / [1] [2]) is the creation of derived forms of a verb from its principal parts by inflection (alteration of form according to rules of grammar). For instance, the verb break can be conjugated to form the words break, breaks, and broke.
The thermodynamic square can be used as a tool to recall and derive some of the thermodynamic potentials based on conjugate variables. In the above description, the product of two conjugate variables yields an energy. In other words, the conjugate pairs are conjugate with respect to energy.
A detailed review [9] of more than 100 examples of conjugate modeling selected from a list of 200 early and modern publications shows that conjugate methods is now used extensively in a wide range of applications. That also is confirmed by numerous results published after this book appearance (2009) that one may see, for example, at the Web of ...
This is a list of equations, by Wikipedia page under appropriate bands of their field. Eponymous equations The following equations are named after researchers who ...
Conjugate closure, the image of a subgroup under the conjugation homomorphisms; Conjugate words in combinatorics; this operation on strings resembles conjugation in groups; Isogonal conjugate, in geometry; Conjugate gradient method, an algorithm for the numerical solution of particular systems of linear equations; Conjugate points, in ...
Conjugate variables are pairs of variables mathematically defined in such a way that they become Fourier transform duals, [1] [2] or more generally are related through Pontryagin duality. The duality relations lead naturally to an uncertainty relation—in physics called the Heisenberg uncertainty principle —between them.
This following list features abbreviated names of mathematical functions, function-like operators and other mathematical terminology. This list is limited to abbreviations of two or more letters (excluding number sets). The capitalization of some of these abbreviations is not standardized – different authors might use different capitalizations.