Sentence examples for provides an expression from inspiring English sources
The following proposition provides an expression for the Shannon's entropy for the T-Cauchy{Y} family.
The solvability of the Poisson equation associated with the generator of frozen equation provides an expression for the coefficients of the expansion.
Integrating this provides an expression to evaluate (varDelta _{1}): varDelta _{1}(theta) = frac{1}{A} bigl(C_{1} - rho_{1}(theta bigr), (15) where (C_{1}) is an integration constant.
Insertion of Eq. (9) into Eq. (5) provides an expression from which, when plotted in a similar way as Eq. (7) above, a truly unbiased expression of DVR as a function of the slope of the plot, vB ref, vB (in the target ROI), V ND, and α is obtained.
Assuming (d1′−d2′)−(d 1−d 2)≥01, the last equation provides an expression of the maximum change of position in d of the segment defined by (x 1,y 1) and (x 2,y 2) for an increase in angle ϕ (a similar expression can be obtained for changes in p): (d'_{1}-d'_{2}) - (d_{1}-d_{2}) leq (p_{1}-p_{2} tan phi) (1}-p_{2} tan phi
Syādvāda is the theory of conditioned predication, which provides an expression to anekānta by recommending that the epithet syād be prefixed to every phrase or expression.
After endless subcommittee meetings and repeated statements of condemnation, the city council agreed to continue funding if the Vacuum apologised or provided an "expression of regret" for all offence caused to the people of Belfast.
Besides, in [10], the authors provide an expression, standing for small values of q s, of the minimum bandwidth as a function of the desired q s.
Reig and Cardona[18] provide an expression that approximates the multivariate c.d.f by an equivalent scalar lower regularized incomplete Gamma function.
The present paper completes prior work by formalizing the Hamiltonian for the single-neuron system and by providing an expression for its partition function.
He demonstrated that any count distribution can be obtained by a suitable choice of f λ (x, t) and provided an expression for the system of Kolmogorov forward differential equations in terms of a matrix-exponential function.
