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Depending on authors, the term "maps" or the term "functions" may be reserved for specific kinds of functions or morphisms (e.g., function as an analytic term and map as a general term). mathematics See mathematics. multivalued A "multivalued function” from a set A to a set B is a function from A to the subsets of B.
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula.
In mathematics, certain functions useful in functional analysis are called Young functions.. A function : [,] is a Young function, if it is convex, even, lower semicontinuous, and non-trivial, in the sense that it is not the zero function , and it is not the convex dual of the zero function {=, +
H.M. – harmonic mean. HOL – higher-order logic. Hom – Hom functor. hom – hom-class. hot – higher order term. HOTPO – half or triple plus one. hvc – havercosine function. (Also written as havercos.) hyp – hypograph of a function.
In mathematical analysis, a Young measure is a parameterized measure that is associated with certain subsequences of a given bounded sequence of measurable functions. They are a quantification of the oscillation effect of the sequence in the limit.
Despite these subtle logical problems, it is quite common to use the term definition (without apostrophes) for "definitions" of this kind, for three reasons: It provides a handy shorthand of the two-step approach. The relevant mathematical reasoning (i.e., step 2) is the same in both cases. In mathematical texts, the assertion is "up to 100%" true.
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:= means "from now on, is defined to be another name for ." This is a statement in the metalanguage, not the object language. This is a statement in the metalanguage, not the object language. The notation a ≡ b {\displaystyle a\equiv b} may occasionally be seen in physics, meaning the same as a := b {\displaystyle a:=b} .