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In mathematics, a codomain or set of destination of a function is a set into which all of the output of the function is constrained to fall. It is the set Y in the notation f: X → Y. The term range is sometimes ambiguously used to refer to either the codomain or the image of a function. A codomain is part of a function f if f is defined as a ...
The double turnstile is a binary relation. It has several different meanings in different contexts: To show semantic consequence, with a set of sentences on the left and a single sentence on the right, to denote that if every sentence on the left is true, the sentence on the right must be true, e.g. .
A weight function is a mathematical device used when performing a sum, integral, or average to give some elements more "weight" or influence on the result than other elements in the same set. The result of this application of a weight function is a weighted sum or weighted average. Weight functions occur frequently in statistics and analysis ...
[2] The analogous term original gas-in-place (OGIP) is used to refer to the total natural gas in a reservoir. Furthermore, there is a term called Hydrocarbons Initially in Place (HCIIP) that is used for either oil or gas. Similar to OIP, HCIIP is calculated using measures of the total reservoirs volume correcting for the non reservoir rock, the ...
In mathematics, in particular field theory, the conjugate elements or algebraic conjugates of an algebraic element α, over a field extension L/K, are the roots of the minimal polynomial pK,α(x) of α over K. Conjugate elements are commonly called conjugates in contexts where this is not ambiguous. Normally α itself is included in the set of ...
The essential difference between this and other well-known moment problems is that this is on a bounded interval, whereas in the Stieltjes moment problem one considers a half-line [0, ∞), and in the Hamburger moment problem one considers the whole line (−∞, ∞). The Stieltjes moment problems and the Hamburger moment problems, if they are ...
The Stone–Geary utility function gives rise to the Linear Expenditure System. [ 1] In case of the demand function equals. where is total expenditure, and is the price of good . The Stone–Geary utility function was first derived by Roy C. Geary, [ 2] in a comment on earlier work by Lawrence Klein and Herman Rubin. [ 3]
Saturation (graph theory) Given a graph , another graph is -saturated if does not contain a (not necessarily induced) copy of , but adding any edge to it does. The function is the minimum number of edges an -saturated graph on vertices can have. [1] In matching theory, there is a different definition. Let be a graph and a matching in .