Sentence examples for formula due to from inspiring English sources

The formula obtained is an extension of an index formula due to Fedosov.

At the same time, the government has introduced a new early years funding formula, due to come into force in April, to support its offer of 30 hours of free childcare to working parents, which kicks in five months later.

I teach in Hillsborough County and we have an exemption from the state formula due to the implementation of an Empowering Effective Teachers (EET) grant from the Bill & Melinda Gates Foundation.

WEALE1 has directed attention to an earlier formula, due to Schytil, according to which the surface tension of a liquid is proportional to TmV−2/3, Tm being the melting point and V the molar volume.

Using Gutzmer's formula, due to Lassalle, we characterise the images of Sobolev spaces under the Segal Bargmann transform on compact Riemannian symmetric spaces.

The method is very simple and easy to include in existing FE codes because it is based on the same ingredients of a linearized buckling analysis, with very light formula due to the presence of displacement degrees of freedom only.

The SPI product obtained from this process has potential application in infant formulas due to its improved solubility and the lower content of anti-nutritional factors.

The formula is really a reworking of other formulas due to Newton's contemporaries in England, Roger Cotes and Abraham de Moivre and Euler may also have been influenced by discussions with his mentor Johann Bernoulli but it definitively shows how the sine and cosine functions are just parts of the exponential function.

In the particular case n= 3, and for certain special values of the eigenvalues, our formulas are seen to resemble classical summation formulas, due to Gegenbauer, for Bessel functions.

To construct our solution operator from the solution formulas in (2.7), first of all we observe that the following formulas due to Volevich hold: a ( ξ ′, x N ) h ˆ ( 0 ) = − ∫ 0 ± ∞ { ( ∂ N a ) ( ξ ′, x N + y N ) h ˆ ( y N ) + a ( ξ ′, x N + y N ) ∂ N h ˆ ( ξ ′, y N ) } d y N, where ∂ j = ∂ / ∂ x j.

For example, in the case that G is the group of motions in (mathbb{R}^{n}), (M^{q}), and (N^{r}) are submanifolds of (mathbb{R}^{n}) and Ibigl(M^{q}cap gN^{r}bigr)=operatorname{vol}bigl( M^{q}cap gN^{r}bigr), (2) the evaluation of (1) leads to the formulas due to Poincaré, Blaschke, Santaló, and others (see [3 5] and the references therein).