Sentence examples for inverse formula from inspiring English sources

A well-recognized method to sequentially update x 0 is the Sherman-Morrison Woodbury inverse formula [28].

Definition 1. (i) The generalized Fourier transform F is defined on by: (ii) We have also the inverse formula of the generalized Fourier transform F -1 on by:  .

Second, the convergence of a product of two discontinuous functions is discussed based on two approximation methods, i.e., Laurent theory and the inverse formula, respectively.

Based on the results, an application example of the binary optical design by the Fresnel diffraction integral and its inverse operation is given, and another instance regarding wavefront reconstruction with the Collins inverse formula is also presented.

We have also the inverse formula of the generalized Fourier transform F -1 on by: For, we denote by: P (λ,m) f = F f)(λ, m)φ λ,m.

We also have the inverse formula of the generalized Fourier transform f ( x, t ) = ∫ R × N f ˆ ( λ, m ) φ ( λ, m ) ( x, t ) d γ α ( λ, m ).

where we have used the formulas in Equations 74, 6, and 7. Identifying N b ' i ◦ N b ' a ρ a i, Open image in new window we obtain the N-connection on E. Open image in new window In order to proof the inverse statement, we have considered an N-connection on the vector bundle and to 'lift' it to L π E Open image in new window by using similar inverse formulas.

Breastfeeding initiation and duration, and its exclusivity, are positively associated with the age, educational level and SES of the mother, while there is an inverse pattern for early formula and cow's milk consumption [ 62].

By using the inverse embedding formula (3), we can extract the embedded watermark (3).

(1 Detailed derivation, including the inverse conversion formula, is provided in "Appendix 1".

By the Legendre inverse transform formula, the value function (V cdot )) can be obtained as follows: V x)=min_{lambda>0} bigl{ v lambda)+lambda x bigr}.