Sentence examples for establish a formula from inspiring English sources

Using the homological introduced by Billera (1988), we number the vertices and establish a formula for an upper bound on the dimension.

This is Part II of a work in which we establish a formula for the Chern character of a family of Dirac operators of Atiyah, Patodi, and Singer.

In the mid-19th century, Baron Bettino Ricasoli, a winemaker with political power and a disdain for some junk sold under the Chianti name, set out to establish a formula.

In the following section, Bernoulli's law is used in an indirect way to establish a formula for the speed at which disturbances travel over the surface of shallow water.

This is Part I of a work, in which we establish a formula for the Chern character of a family of Dirac operators of Atiyah-Patodi-Singer on even-dimensional manifolds with boundary.

As an application, we establish a formula relating the eta-invariant and the phase of the Farber Turaev torsion, which extends a theorem of Farber and earlier results of ours.

FACT Proposition 13 established a formula for divvying up property tax revenue among counties, cities, schools and assorted special districts.

The purpose of monitoring is to simultaneously compare the performance of lightpipes of different geometries and also to provide data for establishing a formula for performance prediction.

Trash classics of the genre like the Led Zeppelin epic "Hammer of the Gods" and "No One Here Gets Out Alive," the Jim Morrison saga, established a formula that "Behind the Music" would turn into a cliché.

Federal law stipulates that 25percentt of such projects must be paid for locally, but the state has not established a formula to govern how local costs are to be divided in such projects.

With Vient de paraître (1928; "Just Appeared"), a satire on the literary world, Bourdet established a formula for the series of satirical comedies that he produced between the world wars.