Sentence examples for Equating to zero from inspiring English sources

Equating to zero the coefficients of zero and first degree powers of ε, we obtain an approximate Lie operator which permits to solve in hierarchy the invariance condition of the system (9 - 10) starting from the classification of unperturbed nonlinear wave equation (3).

Equating to zero the coefficients of the terms in each of the last three expressions, respectively, one obtains 18 equations as functions of the 18 unknown constants.

Equating to zero the coefficient determinant one obtains the frequency equation, and solving the last equation one obtains the natural frequencies of the immersed wedge beam.

Equating to zero, we get.

Equating to zero this derivative and considering that log N ( o avt, μ jk, Σ jk ) = log 1 ( 2 π ) d / 2 | Σ jk | 1 / 2 - 1 2 o at - μ jk a o ~ vt - μ jk v T Φ jk a Φ jk av Φ jk va Φ jk v ⏟ Σ jk - 1 × o at - μ jk a o ~ vt - μ jk v, (5).

Upon formal substitution of (7) in (2), equating to zero the coefficients of zero and first degree powers of ε, we arrive at the following system of PDEs: L 0 : = w 0 t t − f ( w 0 x ) w 0 x x = 0, (9).

Validation showed that the assay is robust, rapid, economical, reproducible, specific, and sensitive down to 12,500 mitochondrial copy (equating to seven fg).

In a hearing straight after the close, the match referee, Ranjan Madugalle, imposed two suspension points on Afridi, equating to two T20 matches for his country.

At each position the exposure time was five seconds, equating to fifty spectra being collected and then averaged.

The book's structure uses twelve chapters, equating to twelve hours of night, from 6 pm to 5 am.

It has a very high proportion of chefs working at the restaurant, 42, equating to one chef per diner.