Sentence examples for as a sum of a number from inspiring English sources

In the method of images, the regular component (R ( P,Q ) ) of (G(P,Q)) is expressed as a sum of a number of unit sources and sinks placed at points (Q_{1}^,Q_{2}^, ldots,Q_{m}^) outside the region.

In this sense, an infinite series is thought of as a sum of an infinite number of terms; and a polynomial is a sum of a finite number of monomials, which are the terms of the polynomial.

In the fall of 2010, he was wrestling with Ramanujan's partition problem: how to find a formula for the number of ways P(n) to write a positive whole number n as a sum of other such numbers.

The overall signaling levels can thus be viewed as the sum of a number of component parts.

In three problems of Book II it is explained how to represent: (1) any given square number as a sum of the squares of two rational numbers; (2) any given non-square number, which is the sum of two known squares, as a sum of two other squares; and (3) any given rational number as the difference of two squares.

In general, one may prove that the multiplication of a sum by a number is the same as the sum of two appropriate products.

That is, they lead to an Egyptian fraction representation of the number one as a sum of unit fractions.

These mean values express the average behaviour of the number of representations of a positive integer as a sum of s positive k-th powers.

The number of peptides per protein was calculated as a sum of unique peptides found by both search algorithms.

Consider all prime numbers larger than 2. Which ones can be written as a sum of two squares?

aCalculated as the sum of the number of consensi and singletons within a library.