Sentence examples for equivalent formulae from inspiring English sources

Subtracting and adding the formula (2.4) we obtain the following two equivalent formulae: (2.5).

which asserts that the epsilon operator assigns the same witness to equivalent formulae A and B. For many applications, however, this additional schema is not necessary.

It is shown that carbon equivalent formulae are designed to measure certain mechanical performance of the steel weld metals as well as their hardness rather than microstructural content.

The susceptibility to cold cracking in steel welds can be assessed by using carbon equivalent formulae based on the composition of steel being welded.

Energy balance for piezoelectric continua is used to derive two equivalent formulae which extend the Rayleigh quotient used in free vibration analysis of elastic continua.

In this study, carbon equivalent formulae available in literature have been tested for their sufficiency on what they can measure in weld metal properties by performing calculations using compositions of structural shielded metal arc welding (SMAW) steel weld metals.

According to Left Logical Equivalence, classically equivalent formulas have the same non-monotonic consequences.

Second, McKinsey shows how to construct from M a normal, but still infinite, S2-characteristic matrix M1 = (K1, D1, −1, *1, ×1), whose elements are equivalence classes of provably equivalent formulas of S2, i.e. of formulas A and B such that A⇔B is a theorem of S2, and whose operations are revised accordingly.

For comparison with fuel-powered cars, electric cars are rated by a "mile per gallon equivalent" formula, or m.p.g.e., which pegs electrical power to fuel use.

Although an equivalent formula has identified the happiest day of the year, which generally falls towards the end of June, in case you care, which you probably don't, highly-developed research techniques (a quick tally of the returns after a Google search) demonstrate we are almost exactly half as interested in when we're likely to be happy as when we're likely to be sad.

The boundary entropy condition and its equivalent formula are proposed.