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  2. Function (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Function_(mathematics)

    A partial function from X to Y is thus a ordinary function that has as its domain a subset of X called the domain of definition of the function. If the domain of definition equals X, one often says that the partial function is a total function. In several areas of mathematics the term "function" refers to partial functions rather than to ...

  3. Currying - Wikipedia

    en.wikipedia.org/wiki/Currying

    In contrast, partial function application refers to the process of fixing a number of arguments to a function, producing another function of smaller arity. Given the definition of f {\displaystyle f} above, we might fix (or 'bind') the first argument, producing a function of type partial ( f ) : ( Y × Z ) → N {\displaystyle {\text{partial ...

  4. Graph of a function - Wikipedia

    en.wikipedia.org/wiki/Graph_of_a_function

    Given a function: from a set X (the domain) to a set Y (the codomain), the graph of the function is the set [4] = {(, ()):}, which is a subset of the Cartesian product.In the definition of a function in terms of set theory, it is common to identify a function with its graph, although, formally, a function is formed by the triple consisting of its domain, its codomain and its graph.

  5. Sign function - Wikipedia

    en.wikipedia.org/wiki/Sign_function

    In mathematics, the sign function or signum function (from signum, Latin for "sign") is a function that has the value −1, +1 or 0 according to whether the sign of a given real number is positive or negative, or the given number is itself zero.

  6. Mathematical diagram - Wikipedia

    en.wikipedia.org/wiki/Mathematical_diagram

    In mathematics, and especially in category theory, a commutative diagram is a diagram of objects, also known as vertices, and morphisms, also known as arrows or edges, such that when selecting two objects any directed path through the diagram leads to the same result by composition.

  7. Bottom type - Wikipedia

    en.wikipedia.org/wiki/Bottom_type

    In Python's optional static type annotations, the general bottom type is typing.Never (introduced in version 3.11), [10] while typing.NoReturn (introduced in version 3.5) can be used as the return type of non-returning functions specifically (and doubled as the general bottom type prior to the introduction of Never). [11]

  8. Python (programming language) - Wikipedia

    en.wikipedia.org/wiki/Python_(programming_language)

    Python is a high-level, general-purpose programming language. Its design philosophy emphasizes code readability with the use of significant indentation. [32] Python is dynamically type-checked and garbage-collected. It supports multiple programming paradigms, including structured (particularly procedural), object-oriented and functional ...

  9. Python syntax and semantics - Wikipedia

    en.wikipedia.org/wiki/Python_syntax_and_semantics

    A snippet of Python code with keywords highlighted in bold yellow font. The syntax of the Python programming language is the set of rules that defines how a Python program will be written and interpreted (by both the runtime system and by human readers). The Python language has many similarities to Perl, C, and Java. However, there are some ...