Sentence examples for representation formulae from inspiring English sources

In [4], were established very nice solution representation formulae to the system.

We then recall the representation formulae of solutions for initial value problems of (1.1) and (1.2) (see [6 8]).

If a sequence, then in the representation formulae given in (i) and (ii), it holds const, and the representation is unique.

The connection between the parameters a, b, and p in the representation formulae and recurrence relation for (_{a}mathtt{B} _{b,p, c}) are derived in Section 2.

The scatterers are assumed to be circular, leading therefore to semi-analytical representation formulae of the scattered field through the solution of a large linear system of equations.

It was exactly this simple observation which leads to the idea of following a matrix approach in order to establish integral representation formulae in the Hermitean setting; see [15, 16].

For further specific geometric representation formulae of polyhedral star-shaped distributions, having star-shaped polyhedra as contour defining polyhedron, see again (Richter and Schicker 2017).For the choice of a dgf g there are various possibilities.

(ii) A sequence if and only if, where tends to a positive constant and tends to as.   (iii) If a sequence, then in the representation formulae given in (i) and (ii), it holds const, and the representation is unique.

We find four different representation formulae and we show that every function in the Loewner class has one of the four representations, corresponding precisely to four different growth conditions at infinity.

The characteristic of the Hare formula that distinguishes it from other proportional representation formulas is its emphasis on candidates, not parties.

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.