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  2. Function composition - Wikipedia

    en.wikipedia.org/wiki/Function_composition

    The functions g and f are said to commute with each other if gf = fg. Commutativity is a special property, attained only by particular functions, and often in special circumstances. For example, | x | + 3 = | x + 3 | only when x ≥ 0. The picture shows another example. The composition of one-to-one (injective) functions is always one ...

  3. Function composition (computer science) - Wikipedia

    en.wikipedia.org/wiki/Function_composition...

    In Haskell, the example foo = fg given above becomes: foo = f . g using the built-in composition operator (.) which can be read as f after g or g composed with f. The composition operator ∘ itself can be defined in Haskell using a lambda expression: (.)::

  4. List of typographical symbols and punctuation marks

    en.wikipedia.org/wiki/List_of_typographical...

    The second is a link to the article that details that symbol, using its Unicode standard name or common alias. (Holding the mouse pointer on the hyperlink will pop up a summary of the symbol's function.); The third gives symbols listed elsewhere in the table that are similar to it in meaning or appearance, or that may be confused with it;

  5. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    When the meaning depends on the syntax, a symbol may have different entries depending on the syntax. For summarizing the syntax in the entry name, the symbol is used for representing the neighboring parts of a formula that contains the symbol. See § Brackets for examples of use. Most symbols have two printed versions.

  6. Gradient - Wikipedia

    en.wikipedia.org/wiki/Gradient

    For any smooth function f on a Riemannian manifold (M, g), the gradient of f is the vector field ∇f such that for any vector field X, (,) =, that is, ((),) = (), where g x ( , ) denotes the inner product of tangent vectors at x defined by the metric g and ∂ X f is the function that takes any point x ∈ M to the directional derivative of f ...

  7. Mathematical operators and symbols in Unicode - Wikipedia

    en.wikipedia.org/wiki/Mathematical_operators_and...

    𝔠 𝔡 𝔢 𝔣 𝔤 𝔥 𝔦 𝔧 𝔨 𝔩 𝔪 𝔫 𝔬 𝔭 𝔮 𝔯 U+1D53x 𝔰 𝔱 𝔲 𝔳 𝔴 𝔵 𝔶 𝔷 𝔸 𝔹 𝔻 𝔼 𝔽 𝔾 U+1D54x 𝕀 𝕁 𝕂 𝕃 𝕄 𝕆 𝕊 𝕋 𝕌 𝕍 𝕎 𝕏 U+1D55x 𝕐 𝕒 𝕓 𝕔 𝕕 𝕖 𝕗 𝕘 𝕙 𝕚 𝕛 𝕜 𝕝 𝕞 𝕟 U+1D56x 𝕠 𝕡 𝕢 𝕣 𝕤 𝕥

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  9. Function (mathematics) - Wikipedia

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

    A function is often denoted by a letter such as f, g or h. The value of a function f at an element x of its domain (that is, the element of the codomain that is associated with x) is denoted by f(x); for example, the value of f at x = 4 is denoted by f(4).