Sentence examples for integral becomes from inspiring English sources

In the case (alpha=1), the Riemann-Liouville fractional integral becomes the classical integral.

Then, at high frequencies, the integral becomes F ( s ) = ∫ 0 ∞ q s - q d q X ( s ) = ∫ 0 ∞ q e - q ln ( s ) d q X ( s ).

Due to this advantage, the interaction integral becomes an effective approach for extracting the fracture parameters of MEE materials with complex interfaces.

Now, by using the Kronecker convolution product, see [7], the fractional integral becomes ( I α f ) ( x ) = 1 Γ x α − 1 ∗ f ( x ) ≃ ξ T 1 Γ { x α − 1 ∗ ϕ m ( x ) }. (2.2).

Thus, at low frequencies, the integral becomes F ( s ) = ∫ - ∞ 0 q s - q d q X ( s ) = - ∫ 0 + ∞ q s q d q X ( s ) = - ∫ 0 ∞ q e q ln( s ) d q X ( s ).

A set of vectors for the track circuit on per component (vectors of variables); composite variable could be defined to simplify the analysis; if the variables are discrete the integral becomes a sum.

Note that when (krightarrow1), k-Riemann-Liouville fractional integrals become classical Riemann-Liouville fractional integrals.

This integral, unfortunately, becomes problematic for values of where is small.

In the second phase, from 1910 to 1912, the irrelevance of the subject, in any integral form, became evident.

Hilbert's work on integral equations became the focus of Weyl's (1908) doctoral dissertation, written under Hilbert's direction.

The house becomes integral to the LGBTQ kids' quest to find love and support.