Sentence examples for inverse statement from inspiring English sources

The inverse statement also holds true.

The inverse statement is not always true.

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.

We conclude that the data g ij, h ab, N i a ; ρ i a ', C ab d Open image in new window for a N-anholonomic manifold V can be transformed into the data g ij, * h ab, N b ' a ; ρ b ' j = g ji * h a ' b ' ρ i a ', C ab d Open image in new window modelling a Lie N-algebroid on (v V, v V ) (the inverse statement is also true) if the conditions of the theorem are satisfied.

However, the inverse of above statement may not necessarily hold true: when an ancestor/parent term is not lipid related, the descendant/child term may still be lipid related.

Various statements of inverse problems on determination of this coefficient in a one-dimensional heat equation were studied in [1 3, 5, 6, 10, 11].

We consider the statement of the inverse problem of the reconstruction of the boundary value problem (1 - 3) from the Weyl function.

The governing equation and the boundary conditions for the reconstruction are derived using the variational statement of an inverse problem to minimize the errors between measured and reconstructed responses.

Behavioral inverse effectiveness, however, is a statement about the percentage of correct behavioral responses (it has also been applied to other quantities, such as reaction times).

First, we consider the statement of the inverse problem associated to kinetic models of biological systems, and we focus on its ill-conditioning and nonconvexity, reviewing the state of the art.

In Sect. 3 we consider the inverse three spectra problem, and give the statements of the main result.