Sentence examples for important identities for from inspiring English sources

First, we state the most important identities for the convolution sums of divisor functions as follows.

We begin by recalling an important identity for the (bar{partial } -Laplace Beltrami operator.

The previous equation gives rise to the following important identity for sufficiently large n: sgn [ ν 1 − λ n ] = sgn [ ∫ Ω ( θ 2 f ( λ n, x, v n ) + θ 1 g ( λ n, x, u n ) ) ϕ 1 d x ]. (4.8).

So now, my hypothetical male reader, here's some advice for how to achieve the most important identity for a man to have in 2016: non-asshole.

Birth certificates are the single most important identity document for a child.

A ration card is a document issued to households by government authorities to enable access to essential commodities at subsidised rates and has also become an important identity card for the official poverty status of households in India.

Similarly, research by Hoek et al 18 with young adult smokers in New Zealand indicated that the brand information displayed on cigarette packages can be important for identity construction and communication for this age group, and hence that the minimisation of this information and the inclusion of more prominent health warnings can reduce the attraction of the product.

We will need important Sylvester's identity for determinants (see [12]).

It does so in order to state an important criterion of identity for numbers denoted, respectively, as #xFx and as #xGx.

Political party affiliation is an important and salient identity for many individuals.

The young players have the quality to impress and are very important for Tottenham for our identity".