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3. Between two groups, may mean that the first one is a proper subgroup of the second one. > (greater-than sign) 1. Strict inequality between two numbers; means and is read as "greater than". 2. Commonly used for denoting any strict order. 3. Between two groups, may mean that the second one is a proper subgroup of the first one. ≤ 1.
The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics. Additionally, the subsequent columns contains an informal explanation, a short example, the Unicode location, the name for use in HTML documents, [ 1 ] and the LaTeX symbol.
Most of the operators available in C and C++ are also available in other C-family languages such as C#, D, Java, Perl, and PHP with the same precedence, associativity, and semantics. Many operators specified by a sequence of symbols are commonly referred to by a name that consists of the name of each symbol.
The duality between the mapping cone and the mapping fiber (cofibration and fibration) [17]: chapters 6,7 can be understood as a form of currying, which in turn leads to the duality of the long exact and coexact Puppe sequences. In homological algebra, the relationship between currying and uncurrying is known as tensor-hom adjunction.
In mathematics, an operator is generally a mapping or function that acts on elements of a space to produce elements of another space (possibly and sometimes required to be the same space). There is no general definition of an operator , but the term is often used in place of function when the domain is a set of functions or other structured ...
A monomorphism is said to be regular if it is an equalizer of some pair of parallel morphisms. A monomorphism μ {\displaystyle \mu } is said to be extremal [ 1 ] if in each representation μ = φ ∘ ε {\displaystyle \mu =\varphi \circ \varepsilon } , where ε {\displaystyle \varepsilon } is an epimorphism, the morphism ε {\displaystyle ...
These imprecise uses of the word regular are not to be confused with the notion of a regular topological space, which is rigorously defined. resp. (Respectively) A convention to shorten parallel expositions. "A (resp. B) [has some relationship to] X (resp. Y)" means that A [has some relationship to] X and also that B [has (the same ...
def – define or definition. deg – degree of a polynomial, or other recursively-defined objects such as well-formed formulas. (Also written as ∂.) del – del, a differential operator. (Also written as.) det – determinant of a matrix or linear transformation. DFT – discrete Fourier transform.