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...

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...

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

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

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

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...

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

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

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...

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

_{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 )...

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...

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

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...

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...

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...

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 )...

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

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

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

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...

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

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...

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

involve the given function's derivative with delays while neutral differential equations do. Integro-differential equations of Volterra type are functional...

replication, such as the quasispecies equation, in that it allows the fitness function to incorporate the distribution of the population types rather than setting...