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  2. Nomenclature codes - Wikipedia

    en.wikipedia.org/wiki/Nomenclature_codes

    In the ICZN, the system is also called binominal nomenclature, [1] "binomi'N'al" with an "N" before the "al", which is not a typographic error, meaning "two-name naming system". [2] The first part of the name – the generic name – identifies the genus to which the species belongs, whereas the second part – the specific name or specific ...

  3. Free variables and bound variables - Wikipedia

    en.wikipedia.org/wiki/Free_variables_and_bound...

    To give an example from mathematics, consider an expression which defines a function = [(, …,)] where t is an expression. t may contain some, all or none of the x 1, …, x n and it may contain other variables. In this case we say that function definition binds the variables x 1, …, x n.

  4. Rademacher system - Wikipedia

    en.wikipedia.org/wiki/Rademacher_system

    In mathematics, in particular in functional analysis, the Rademacher system, named after Hans Rademacher, is an incomplete orthogonal system of functions on the unit interval of the following form: { t ↦ r n ( t ) = sgn ⁡ ( sin ⁡ 2 n + 1 π t ) ; t ∈ [ 0 , 1 ] , n ∈ N } . {\displaystyle \{t\mapsto r_{n}(t)=\operatorname {sgn} \left ...

  5. System F - Wikipedia

    en.wikipedia.org/wiki/System_F

    While System F corresponds to the first axis of Barendregt's lambda cube, System F ω or the higher-order polymorphic lambda calculus combines the first axis (polymorphism) with the second axis (type operators); it is a different, more complex system.

  6. Linearly disjoint - Wikipedia

    en.wikipedia.org/wiki/Linearly_disjoint

    However, there are examples where is a domain but A and B are not linearly disjoint: for example, A = B = k(t), the field of rational functions over k. One also has: A , B are linearly disjoint over k if and only if the subfields of Ω {\displaystyle \Omega } generated by A , B {\displaystyle A,B} , resp. are linearly disjoint over k .

  7. Zeros and poles - Wikipedia

    en.wikipedia.org/wiki/Zeros_and_poles

    Technically, a point z 0 is a pole of a function f if it is a zero of the function 1/f and 1/f is holomorphic (i.e. complex differentiable) in some neighbourhood of z 0. A function f is meromorphic in an open set U if for every point z of U there is a neighborhood of z in which at least one of f and 1/f is holomorphic.

  8. Independence (probability theory) - Wikipedia

    en.wikipedia.org/wiki/Independence_(probability...

    Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes.Two events are independent, statistically independent, or stochastically independent [1] if, informally speaking, the occurrence of one does not affect the probability of occurrence of the other or, equivalently, does not affect the odds.

  9. Argument (complex analysis) - Wikipedia

    en.wikipedia.org/wiki/Argument_(complex_analysis)

    Figure 1. This Argand diagram represents the complex number lying on a plane.For each point on the plane, arg is the function which returns the angle . In mathematics (particularly in complex analysis), the argument of a complex number z, denoted arg(z), is the angle between the positive real axis and the line joining the origin and z, represented as a point in the complex plane, shown as in ...