Sentence examples for representation formula from inspiring English sources

On the other hand, they unify discrete minimal surfaces via a Weierstrass representation formula.

We study a representation formula of the form ƒ = ∑Q 〈ƒ, ϑQ〉ψQ for a distribution ƒ on Rn.

The new representation formula for the spectral shift function due to F. Gesztesy and K. A. Makarov is considered.

The existence of a solution to the inverse source problem is shown in appropriate function spaces and a representation formula for the solution is proposed.

The yellow is for the 14 constituency members and the orange for the 11 London-wide members, who are chosen from party lists and allocated seats according to the brain-mangling modified d'Hondt proportional representation formula.

This implies a representation formula for smooth functions on G which is used to prove the sharp Carnot group version of the celebrated Moser Trudinger inequality.

The representation formula for the solution variables can then be derived using the 1D Green's functions only, from which a system of 1D integral equations is obtained.

Furthermore, the explicit representation formula for the pressure variable enable the unique AGM approach to facilitating the stabilization issue caused by the saddle structure between velocity and pressure.

We construct a semi-Lagrangian scheme based on the Feynman Kac representation formula of the solutions of the related level set geometric equation.

We also prove a representation formula for the heat semigroup on (adapted) vector fields as well as a commutation formula for its derivative.

A representation formula of the Parseval type is proved, as well as a formula giving the integrals in terms of analytically continued absolutely convergent integrals.