Adjective:

સંપૂર્ણ, પૂર્ણ, અભંગ, અભિન્ન,

integrable's Usage Examples:

A set of functions \varphi_i (x) is called complete over [a,b] if for each Riemann integrable function f(x), there is a set of values of coefficients c_1,c_2,\cdots,c_N that reproduces f(x).

that arose in the modern theory of integrable systems originated in a calculational approach pioneered by Ryogo Hirota, which involved replacing the original.

formal definitions, informally speaking, an integrable system is a dynamical system with sufficiently many conserved quantities, or first integrals, such.

integrable models, when solutions are sometimes a sort of superposition of solitons; this happens e.

+u_{s}(q_{s})}}} The solution of this system consists of a set of separably integrable equations 2 Y d t d φ 1 E χ 1 − ω 1 + γ 1 d φ 2 E χ 2 −.

derivative of a function (strong derivative) for functions not assumed differentiable, but only integrable, i.

A sufficient condition for this theorem to hold is for K(x,y) to be square integrable on the rectangle [a,b]\times[a,b] (where a and/or b may be minus or plus infinity).

to a Riemann integrable function, but there are non-Riemann integrable bounded functions which are not equivalent to any Riemann integrable function.

1 ( μ ) {\displaystyle \Phi \subset L^{1}(\mu )} is called uniformly integrable if to each ε > 0 {\displaystyle \varepsilon >0} there corresponds a δ.

This approximation of f by simple functions (which are easily integrable) allows us to define an integral f itself; see the article on Lebesgue integration for more details.

The theory of integrable systems.

In mathematics, a summability kernel is a family or sequence of periodic integrable functions satisfying a certain set of properties, listed below.

But in order for F to belong to the Segal–Bargmann space—that is, for F to be square-integrable with respect to a Gaussian measure—g must have at most quadratic growth at infinity.