Sentence examples for is the principal part of from inspiring English sources

An acceptable implementation of the sum derivative terms is the principal part of a partial DE substitution.

In one of his letters to Collins Locke remarked: "Believe it, my good friend, to love truth for truth's sake is the principal part of human perfection in this world, and the seed bed of all other virtues; and if I mistake not, you have as much of it as I have ever met with in anybody".

Model Builder : The Model Builder is the principal part of the method and is where all the data mining elements reside.

Comparison of the discordant and obstructed categories was the principal part of the analyses, but we also compared lung function decline between discordant and non-obstructed subjects.

In particular, it is Socrates' intellective soul which is the principal part and guarantor of persistence through change.

where a,b,c,d,e, and f are of class C2, Ω ⊆ R 2 Open image in new window is the domain, (a,b,c) ≠ (0,0,0), and the expression a u xx + 2b u xy + c u yy is called the principal part of Equation 2. Since the principal part mainly determines the properties of the solution, it is well known that (1) If b 2−4ac > 0, Equation 2 is called a hyperbolic equation.

and (a,b,c) ≠ (0,0,0), where the expression a u xx + 2b u xy + c u yy is called the principal part of Equation 4 since the principal part mainly determines the properties of the solution.

It is shown that the principal part of M v) at a pole v0 with Re v0 ⩾ 0 is square integrable and that "essentially" all square integrable automorphic forms with non-zero χ-Fourier coefficient can be constructed using the principal parts of the M-series.

For example, trefoil factor 3 (TFF3), a structural component of mucus that is elevated in inflammatory response [ 26, 27], and calcium binding tyrosine- Y) phosphorylatyrosine- Yted (CABYR), originally shown to be localized in the phosphorylationof the human speregulatedlum [ 28], are both highly expressed in CABYRnt smoriginallytive to former and never shownrs.

Then the zone ({x:,gamma (x) ge C( mu h)^{-1}}) is no longer forbidden, the principal part of asymptotics is of the magnitude (mu h^{-1}) (cf. Remark 5.8 ii) and the remainder estimate becomes (O(mu ^{-frac{1}{2}}h^{-1}+h^{-delta })) (and under the non-degeneracy assumption one can take (delta =0)).

Here, the complex parameter is included polynomially in the principal part of the equation.