Sentence examples for formulation of the first from inspiring English sources

There, we can find the formulation of the first calculus of variations problem that leads to the first free boundary problem of history.

(Dignāga also used the particle in the formulation of the first two forms, where, for its use to be coherent, it must be construed in its emphatic sense, comparable to the English particle indeed).

Since the formulation of the first concise scientific theory of plant succession in the early 20th century by Frederick Clements (1916), forest succession has conventionally been described as an orderly, directional and well predictable development of vegetation community change through time (McIntosh 1981; Peet 1981; but see Cowles 1911).

This allows the formulation of the first law of black hole mechanics as an analogue of the first law of thermodynamics, with the mass acting as energy, the surface gravity as temperature and the area as entropy.

It is this periodicity of properties, manifestations of which were noticed well before the underlying theory was developed, that led to the establishment of the periodic law (the properties of the elements recur at varying intervals) and the formulation of the first periodic tables.

Another formulation of the second law is that the entropy of an isolated system never decreases with time.

That calculation should be made in time for a meeting of finance ministers on July 3 and is crucial to the formulation of the second bailout because it will determine how much national governments will have to lend, the officials said.

A modern formulation of the second law, the law of independent assortment, is that the alleles of a gene pair located on one pair of chromosomes are inherited independently of the alleles of a gene pair located on another chromosome pair and that the sex cells containing various assortments of these genes fuse at random with the sex cells produced by the other parent.

Direct reference to polynomial rates of growth is also avoided in the formulation of the first-order arithmetical theory now known as \ \text{I}\Delta_0\) (which was originally introduced by Parikh (1971) under the name \ \textsf{PB}\)).

Note that the formulation of the first-order Markov model can be considered as a special case of the second-order model with P i,j = P l,i,j for any l.

We propose a new formulation of the first-order linear, optimal positive N scheme, relying on a contour integration of the convective fluxes over the boundaries of an element.