In mathematics, Volterra's function, named for Vito Volterra, is a real-valued function V defined on the real line R with the following curious combination...

dei Lincei. Volterra (crater) Volterra's function Lotka–Volterra equation Smith–Volterra–Cantor set Volterra integral equation Volterra series Product...

positive area. The Smith–Volterra–Cantor set is used in the construction of Volterra's function (see external link). The Smith–Volterra–Cantor set is an example...

spectacularly. A function which has an antiderivative may still fail to be Riemann integrable. The derivative of Volterra's function is an example. If...

dense but has positive measure. The Fabius function is everywhere smooth but nowhere analytic. Volterra's function is differentiable with bounded derivative...

Euclid's orchard – Thomae's function can be interpreted as a perspective drawing of Euclid's orchard Volterra's function Beanland, Kevin; Roberts, James...

published in 1926 by Vito Volterra, a mathematician and physicist, who had become interested in mathematical biology. Volterra's enquiry was inspired through...

predator–prey equations Smith–Volterra–Cantor set, a Cantor set with measure greater than zero Volterra's function, a differentiable function whose derivative is...

antiderivatives at all. Conversely, many functions that have antiderivatives are not Riemann integrable (see Volterra's function). Suppose the following is to be...

_{a}^{t}K(t,s)\,x(s)\,ds} where f is a given function and x is an unknown function to be solved for. A linear Volterra equation of the second kind is x ( t )...

In mathematics, a Green's function (or Green function) is the impulse response of an inhomogeneous linear differential operator defined on a domain with...

The competitive Lotka–Volterra equations are a simple model of the population dynamics of species competing for some common resource. They can be further...

mathematician Vito Volterra, in his work dating from 1887. Norbert Wiener became interested in this theory in the 1920s due to his contact with Volterra's student...

the Volterra operator, named after Vito Volterra, is a bounded linear operator on the space L2[0,1] of complex-valued square-integrable functions on the...

In mathematical analysis, a function of bounded variation, also known as BV function, is a real-valued function whose total variation is bounded (finite):...

A linear response function describes the input-output relationship of a signal transducer, such as a radio turning electromagnetic waves into music or...

speed up computer programs by storing the results of expensive function calls to pure functions and returning the cached result when the same inputs occur...

mathematician Vito Volterra in 1913. When a function g T {\displaystyle g_{T}} is periodic, with period T {\displaystyle T} , then for functions, f {\displaystyle...

reorganize, while undergoing change so as to retain essentially the same function, structure, identity, is termed its ecological resilience. Ecosystems can...

a linear Volterra integral equation of the second kind for an unknown function y ( t ) {\displaystyle y(t)} and a given continuous function g ( t ) {\displaystyle...

The random generalized Lotka–Volterra model (rGLV) is an ecological model and random set of coupled ordinary differential equations where the parameters...

unknown functions in the case of differential equations) appear as variables of a polynomial of degree higher than one or in the argument of a function which...

product integral corresponds to Volterra's original definition. The following relationship exists for scalar functions f : [ a , b ] → R {\displaystyle...

The Volterra equation may refer to the Volterra integral equation, an integral in the style of Fredholm theory. Product integral, an integral over an...

predator–prey interaction firstly described by Volterra and Lotka in the Lotka–Volterra equation. A trophic function represents the consumption of prey assuming...

model for Langmuir waves in plasmas. The Volterra lattice is the set of ordinary differential equations for functions an: a n ′ = a n ( a n + 1 − a n − 1 )...

List of functional analysis topics Spectral theory Lawvere, F. William. "Volterra's functionals and covariant cohesion of space" (PDF). acsu.buffalo.edu....

dynamically on the distribution of population types, making the fitness function an endogenous component of the system. This allows it to model frequency-dependent...

In scattering theory, the Jost function is the Wronskian of the regular solution and the (irregular) Jost solution to the differential equation − ψ ″ +...

term containing the kernel function (defined below) has constants as integration limits. A closely related form is the Volterra integral equation which has...