Sentence examples for formula by using from inspiring English sources

American porters generally diverge from the classic formula by using American, rather than English, hops.

Furthermore we apply the Black and Scholes formula by using adaptive fuzzy numbers introduced by Thiagarajah et al.

As a result of the comparison, it is found that Hudson formula by using H1/3 underestimates the necessary armour weight.

He adduced additional evidence for the importance of his formula by using it to evaluate the constant h (his value was 6.55 × 10−27 erg-second, close to the modern value of 6.626 × 10−27 erg-second), as well as the so-called Boltzmann constant (the fundamental constant in kinetic theory and statistical mechanics), Avogadro's number, and the charge of the electron.

The test results of high αextreme cases (HE) and low αextreme cases (LE) are compared with currently used van der Meer's formulae with permeability factor P=0.4 and 0.45 and Hudson formula by using H1/3 and H1/10 in terms of the design weight of armour stone.

Also, we suggest a fractional functional entropy formula by using the Tsallis entropy.

We obtain the explicit formulas by using the Moore Penrose inverse and the PCA theory.

We can now obtain the multiplication formulas by using p-adic integrals.

We establish fractional integral and derivative formulas by using fractional calculus operators involving the extended generalized Mathieu series.

We improved the stability of the Horiuchi-Coale and Mitra formulas by using the population growth rates averaged over 10-year periods prior to the estimation year.

In this article, we derive q-analogues of many well known formulas by using several results of q-Bernoulli, q-Euler numbers, and polynomials.