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nonconstant function

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  • nonconstant — ˌ adjective : not constant ; especially : having a range that includes more than one value a nonconstant function * * * n., adj …   Useful english dictionary

  • Riemann surface — For the Riemann surface of a subring of a field, see Zariski–Riemann space. Riemann surface for the function ƒ(z) = √z. The two horizontal axes represent the real and imaginary parts of z, while the vertical axis represents the real… …   Wikipedia

  • Deviation risk measure — In financial mathematics, a deviation risk measure is a function to quantify financial risk (and not necessarily downside risk) in a different method than a general risk measure. Deviation risk measures generalize the concept of standard… …   Wikipedia

  • Complex number — A complex number can be visually represented as a pair of numbers forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the square root of –1. A complex… …   Wikipedia

  • Zero (complex analysis) — In complex analysis, a zero of a holomorphic function f is a complex number a such that f(a) = 0. Contents 1 Multiplicity of a zero 2 Existence of zeros 3 Properties …   Wikipedia

  • Maximum modulus principle — A plot of the modulus of cos(z) (in red) for z in the unit disk centered at the origin (shown in blue). As predicted by the theorem, the maximum of the modulus cannot be inside of the disk (so the highest value on the red surface is somewhere… …   Wikipedia

  • Davenport–Schinzel sequence — In combinatorics, a Davenport–Schinzel sequence is a sequence of symbols in which the number of times any two symbols may appear in alternation is limited. The maximum possible length of a Davenport–Schinzel sequence is bounded by the number of… …   Wikipedia

  • Universal approximation theorem — In the mathematical theory of neural networks, the universal approximation theorem states[1] that the standard multilayer feed forward network with a single hidden layer that contains finite number of hidden neurons, and with arbitrary activation …   Wikipedia

  • Algebraic geometry and analytic geometry — In mathematics, algebraic geometry and analytic geometry are two closely related subjects. While algebraic geometry studies algebraic varieties, analytic geometry deals with complex manifolds and the more general analytic spaces defined locally… …   Wikipedia

  • Coherent risk measure — In the field of financial economics there are a number of ways that risk can be defined; to clarify the concept theoreticians have described a number of properties that a risk measure might or might not have. A coherent risk measure is a function …   Wikipedia

  • Charles Émile Picard — Born 24 July 1856(1856 07 24) Paris …   Wikipedia

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