Sentence examples for calculus yield from inspiring English sources

Treating this restricted mean square prediction error as a function of the two coefficients (a, b) and minimizing it by methods of the calculus yield the optimal coefficients: b̂ = E{[ X − E X][Y − E Y)]}/Var(X) and â = E(Y) − b̂E(X).

This multiagent calculus yields syntactic proofs of some type abstraction properties that traditionally require semantic arguments.

Our findings confirm that calculus yields more total DNA when compared to dentin, with a low, albeit consistent, proportion of endogenous human DNA.

The renal calculus protocol yielded less than 150 microGy absorbed breast dose.

Reachable sets of bang-bang constrained solutions are convex; an application to the calculus of variations yields a density result.

In both quantification metrics dental calculus has a higher DNA yield than dentin.

Instrumentalists took scientific theories to be axiomatic systems only part of whose vocabulary the observational language is interpreted; the rest is a formal calculus whose purpose is to yield predictions couched in the observational vocabulary.

Immediately following extraction, DNA yields from dental calculus as measured by fluorometry ranged from 4.9 ng/mg to 214.4 ng/mg (median 72.1 ng/mg), while dentin samples from the same individuals yielded 0.2 ng/mg to 35.7 ng/mg (median 4.8 ng/mg).

Restaurants have high fixed costs for food, real estate and labor, and so VillageVines offers deals as an exercise in "restaurant yield management," summoning the calculus that helps airplanes to take off with fewer empty seats.

The results in Theorems 1 to 4 can be easily reduced to yield some corresponding formulas involving simpler factional calculus operators such as the Erdélyi-Kober fractional calculus operators.

This yields a certain "conditional Malliavin calculus" and is applicable to "signal" and "noise" problems.