Sentence examples for applied to function from inspiring English sources

The construction applied to function spaces yields various spaces of generalized functions.

When constructions are applied to function spaces and multiplications are interpreted as convolutions, the constructions yield various spaces of generalized functions.

Besides, it can be applied to function fittings of large structures under ultimate limit state, where multiple failure modes may be enveloped.

The concept of "adaptive reuse" might then be applied to function, not to form.

For functions in (A^{p}(sigma)), when the weight σ is in (C_{p_{0}}), we have the following estimate, which easily follows by using a standard procedure, namely, from the Cauchy inequality applied to function (f^{ k)}), the subharmonicity of (|f|^{p}), (p>0), the integral Hölder inequality and the definition of class (C_{p_{0}}).

Denote, by H ( t ) the function of , H ( t ) = a 0 | C t | − n F ( n 2, n 2 ; n ; | P | 2 | C t | 2 ), where C ± t and P are defined as follows: C ± t = | z | 2 + | z ′ | 2 + i ( t ′ ± t ), P = 2 z ⋅ z ¯ ′, for ξ = [ z ′, t ′ ] ∈ H n, η = [ z, t ] ∈ H n. A differential operator, whenever applied to function H ( t ) will be with respect to the variable ξ.

The theory about operators applied to functions has been very well developed.

In [4], Martell proved the following two-weight weak type norm inequality applied to functions.

The algorithm maintains its efficiency when applied to functions with singularities.

In addition, distributions attain an infinite number of derivatives and those derivatives always exist, which is not applied to functions.

Further work to ascertain the relevance of SmVAL6 developmentally-regulated splicing, as it applies to function, is ongoing.