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searching for Entire function 32 found (128 total)

Complex analysis (2,517 words) [view diff] exact match in snippet view article find links to article

features. For instance, Picard's theorem asserts that the range of an entire function can take only three possible forms: C {\displaystyle \mathbb {C} }

Mittag-Leffler distribution (679 words) [view diff] exact match in snippet view article find links to article

}(z):=\sum _{n=0}^{\infty }{\frac {z^{n}}{\Gamma (1+\alpha n)}}} defines an entire function. For α = 0 {\displaystyle \alpha =0} , the series converges only on

Wiener–Hopf method (1,524 words) [view diff] exact match in snippet view article find links to article

upper half-plane, analytic continuation guarantees existence of an entire function which coincides with the left- or right-hand sides in their respective

Mohinder Singh Randhawa (976 words) [view diff] exact match in snippet view article find links to article

India was on the eve of independence. In 1947 he was in charge of the entire function where Jawaharlal Nehru delivered his famous Tryst with destiny speech

Herbert Wilf (641 words) [view diff] exact match in snippet view article find links to article

MR 0120352. Wilf, Herbert S. (1961). "The argument of an entire function". Bull. Amer. Math. Soc. 67 (5): 488–489. doi:10.1090/s0002-9904-1961-10649-6

Fourier series (10,430 words) [view diff] exact match in snippet view article find links to article

case s ∞ {\displaystyle s_{\scriptstyle {\infty }}} approximates the entire function. The 2 P {\displaystyle {\tfrac {2}{P}}} scaling factor is explained

Related rates (1,674 words) [view diff] exact match in snippet view article find links to article

{d}{dt}}\left(x^{2}+y^{2}\right)^{1/2}} Apply derivative operator to entire function = 1 2 ( x 2 + y 2 ) − 1 / 2 d d t ( x 2 + y 2 ) {\displaystyle ={\frac

Bernstein's problem (683 words) [view diff] exact match in snippet view article find links to article

f}{\partial x_{j}}}\right)^{2}}}}=0} Bernstein's problem asks whether an entire function (a function defined throughout Rn−1 ) that solves this equation is

Bloch's theorem (complex variables) (1,165 words) [view diff] exact match in snippet view article

following theorem of Georges Valiron: Theorem. If f is a non-constant entire function then there exist disks D of arbitrarily large radius and analytic functions

Poppins (746 words) [view diff] exact match in snippet view article find links to article

Ramakrishnan by Jayasurya. East Coast Vijayan had coordinated the entire function that was held on 24 November 2012. Nithya Menon sings the Malayalam

Fetch-and-add (870 words) [view diff] exact match in snippet view article find links to article

fetch-and-add instruction behaves like the following function. Crucially, the entire function is executed atomically: no process can interrupt the function mid-execution

Cauchy's integral formula (4,361 words) [view diff] exact match in snippet view article find links to article

From Cauchy's inequality, one can easily deduce that every bounded entire function must be constant (which is Liouville's theorem). The formula can also

Infinite derivative gravity (2,564 words) [view diff] exact match in snippet view article find links to article

◻ ) {\displaystyle F_{i}(\Box )} s) must be the exponential of an entire function. A lower bound was obtained on the mass scale of IDG using experimental

Kumar Bangarappa (1,764 words) [view diff] exact match in snippet view article find links to article

reacted adversely during the last rites, it would have disrupted the entire function. My relatives could have doused the situation, but they did not. As

Coupling constant (2,852 words) [view diff] exact match in snippet view article find links to article

scalar field couples to the Ricci scalar. This field is therefore an entire function worth of coupling constants. These coupling constants are not pre-determined

Phasor (4,877 words) [view diff] exact match in snippet view article find links to article

vector in the complex plane. It is sometimes convenient to refer to the entire function as a phasor, as we do in the next section. Multiplication of the phasor

Li's criterion (1,261 words) [view diff] exact match in snippet view article find links to article

-1|<|\rho |\Leftrightarrow Re(\rho )>1/2} . Then, starting with an entire function f ( s ) = ∏ ρ ( 1 − s ρ ) {\displaystyle f(s)=\prod _{\rho }{\left(1-{\frac

Functional derivative (5,115 words) [view diff] exact match in snippet view article find links to article

{\displaystyle F[\rho (x)]} changes as a result of a small change in the entire function ρ ( x ) {\displaystyle \rho (x)} . The particular form of the change

Zero-based budgeting (2,663 words) [view diff] exact match in snippet view article find links to article

a ZBB process and a sunset review process. In a sunset review, the entire function is eliminated unless evidence is provided of program effectiveness

Scope (computer science) (10,546 words) [view diff] exact match in snippet view article

causes it to be declared local to the function, hence its scope is the entire function, and thus using it prior to this assignment raises an error. This differs

Bloch's principle (891 words) [view diff] exact match in snippet view article find links to article

converges locally uniformly in C n {\displaystyle C^{n}} to a non-constant entire function g {\displaystyle g} satisfying g ♯ ( z ) ≤ g ♯ ( 0 ) = 1 {\displaystyle

Riesz–Thorin theorem (6,106 words) [view diff] exact match in snippet view article find links to article

{\textstyle z} . We readily see that Φ ( z ) {\textstyle \Phi (z)} is an entire function, bounded on the strip 0 ≤ R e ⁡ z ≤ 1 {\textstyle 0\leq \operatorname

Generalized hypergeometric function (7,729 words) [view diff] exact match in snippet view article find links to article

the series converges for any finite value of z and thus defines an entire function of z. An example is the power series for the exponential function.

Distribution (mathematics) (21,600 words) [view diff] exact match in snippet view article

^{n}} to R n , {\displaystyle \mathbb {R} ^{n},} the restriction of an entire function of exponential type in C n {\displaystyle \mathbb {C} ^{n}} to R n

Anonymous function (9,474 words) [view diff] exact match in snippet view article find links to article

make recursive anonymous functions. The symbol '#0' refers to the entire function. The following function calculates the factorial of its input: If[#1

Digamma function (7,062 words) [view diff] exact match in snippet view article find links to article

function ψ ( z ) / Γ ( z ) {\displaystyle \psi (z)/\Gamma (z)} is an entire function, and it can be represented by the infinite product ψ ( z ) Γ ( z )

Faulhaber's formula (7,889 words) [view diff] exact match in snippet view article find links to article

{1-e^{nz}}{1-e^{z}}},\\=&{\frac {1-e^{nz}}{e^{-z}-1}}.\end{aligned}}} This is an entire function in z {\displaystyle z} so that z {\displaystyle z} can be taken to

Fox–Wright function (1,746 words) [view diff] exact match in snippet view article find links to article

0)\end{matrix}};z\right)} denotes the Fox–Wright Psi function. The entire function W λ , μ ( z ) {\displaystyle W_{\lambda ,\mu }(z)} is often called

Graph cut optimization (4,232 words) [view diff] exact match in snippet view article find links to article

representing each term and combine them to obtain a graph representing the entire function. The graph representing a quadratic function of n {\displaystyle n}

Singular integral operators of convolution type (12,876 words) [view diff] exact match in snippet view article find links to article

compact support in (0,∞). But the Fourier transform f extends to an entire function F on C, which is bounded on Im(z) ≥ 0. The same is true of the derivatives

Absolutely and completely monotonic functions and sequences (1,382 words) [view diff] exact match in snippet view article find links to article

not only analytic on the real line but is even the restriction of an entire function to the real line. The big Bernshtein theorem: A function f ( x ) {\displaystyle

Alternatives to general relativity (13,724 words) [view diff] exact match in snippet view article find links to article

)R\right)} where F ( ◻ ) {\displaystyle F(\Box )} is the exponential of an entire function of the D'Alembertian operator. This avoids a black hole singularity