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...metric function]] is an example of a four-argument function. The number of arguments that a function takes is called the ''[[arity]]'' of the function. A functi ...tions|parameter]]s. The independent variables are mentioned in the list of arguments that the function takes, whereas the parameters are not. For example, in th ...

* It is a symmetric function of its arguments: : (where ''π'' is any [[permutation]] of its arguments). ...

...ions of its arguments, as well as independent of a common sign flip of its arguments: ...

.../BF01405490}}</ref> It is a broad abstract generalization of many diagonal arguments in mathematics and logic, such as [[Cantor's diagonal argument]], [[Cantor' ...ast1=Lawvere |first1=William |author1-link=William Lawvere |title=Diagonal arguments and cartesian closed categories with author commentary |journal=Reprints in ...

The generalization to functions of more than two arguments iff it is convex with respect to each of the individual arguments ...

...y were true, would guarantee the truth of the argument's conclusion. Valid arguments must be clearly expressed by means of sentences called [[well-formed formul ==Arguments== ...

...ments]]. For example, a function <math>f\left(x_1,x_2\right)</math> of two arguments is a symmetric function if and only if <math>f\left(x_1,x_2\right) = f\left ...nstructed by summing values of <math>f</math> over all permutations of the arguments. Similarly, an anti-symmetric function can be constructed by summing over [ ...

...ast1=Lawvere |first1=William |author1-link=William Lawvere |title=Diagonal arguments and cartesian closed categories with author commentary |journal=Reprints in ...|last1=Frumin |first1=Dan |last2=Massas |first2=Guillaume |title=Diagonal Arguments and Lawvere's Theorem |url=https://groupoid.moe/pdf/diagonal_argument.pdf | ...

...of partial function application in this case is a function that takes two arguments. Partial application is sometimes incorrectly called [[currying]], which is ...science)|argument]]s of the function, you get a function of the remaining arguments". For example, if function ''div''(''x'',''y'') = ''x''/''y'', then ''div'' ...

...id |first=Joseph C. |date=2022 |title=The fruitful death of modal collapse arguments |url=https://philpapers.org/archive/SCHTFD-5.pdf |journal=International Jou ...ext of philosophy, the term is commonly used in critiques of [[ontological arguments for the existence of God]] and the principle of [[divine simplicity]].<ref ...

...gical or]] functions are true for 1 and <math>2^n-1</math> combinations of arguments, respectively, both of which are odd numbers (for <math>n > 0</math>), so t ...

...riations, depending whether maps are written on the left or right of their arguments. The presence of so many variations often leads to confusion. When regardi First we assume that maps are written on the left of their arguments, so that compositions take place from right to left. Let <math>\mathfrak{S} ...

...umentation framework with a [[directed graph]] such that the nodes are the arguments, and the arrows represent the attack relation. * A set of abstract elements called ''arguments'', denoted <math>A</math> ...

...'). The proof uses diagram chasing arguments similar to that above. Such arguments are also used to show that the sequence in homology is exact at each group. ...

Hybrid arguments had their origin in a papers by [[Andrew Yao]] in 1982 and Shafi Goldwasser ...ument is extensively used in cryptography. Some simple proofs using hybrid arguments are: ...

...e characteristic function of the exponential function evaluated at integer arguments: ...aracteristic function of the exponential distribution evaluated at integer arguments: ...

...gy), and <math>\alpha</math> is a string of "items", as defined below. The arguments <math>x_i</math> are strings of terminal symbols and/or variable symbols de ...

...e may be a few select cases that can only be found in one version. Similar arguments can be made for many other formulas. ...

...is]]). A second instance involves functions of a [[motor variable]] where arguments are [[split-complex number]]s. ...rcomplex systems called [[Clifford algebra]]s. The study of functions with arguments from a Clifford algebra is called [[Clifford analysis]]. ...

...both functions are undefined, or both are defined and their values on that arguments are equal. ...