wolfram mathematica function of unknown list

I don't think any mathematician would react this way today.Ī binary operation is a special case of n-ary operation for any natural number $n$, which is a function of the form $f:S^n o S$. In the 1960's some mathematicians were taken aback by the idea that addition of real numbers (for example) is a function. The main point to notice is that it takes pairs of elements of $S$ to the same set $S$. ($S imes S$ denotes theĬartesian product). OperationĪ function of the form $f:S imes S o S$ may be called a binary operation on $S$. In ordinary English, it is almost always an adjective whose meaning has little to do with the mathematical meaning. In mathematical English, the word 'functional' is a noun. But the word is used in other senses, as well. The most common use seems to be to denote a linear function whose domain consists of some vector space and whose values are elements of the field. The word functional is used as a noun to denote some special class ofįunctions. Taking the derivative is a linear operator on some suitable vector space of differentiable functions. Most functions called 'operator' are linear, and the word seems to be most commonly used when the domain is a function space. OperatorĪ function between vector spaces may be called an operator. See also Images and metaphors for functions. ), but that is not the case when it is used in the phrase The word transformation is commonly used when the domain and the codomain are the same (as in a The name 'map' is suggested by common metaphors Another usage is that a map have a specified

For example, some require that a mapping be a continuous function. In some cases, an author will impose conditions on a function to be called a 'map'. (See no standardization.) Map, mappingĪ function is very commonly referred to as a map or mapping.

This section mentions some of the most common words used to mean 'function'.Īuthors may not explain the terminology they use. Introduction to this website website TOC website index blog Back to head of functions chapter FUNCTIONS: NOTATION AND TERMINOLOGY Terminology for functions Other words meaning 'function'įunctions are called by many other names in the literature.

Wolfram mathematica function of unknown list