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It is argued by Boyd [17] that while using a Galerkin's method to transform a partial differential equation into a matrix problem, one eventually encounters the matrix with only a few nonzero elements in each row.
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It proceeds in two steps as follows: First, the correlation network is transformed into a partial correlation network, which is essentially an undirected graph that displays the direct linear associations only.
Our results show that the full loss-of-function ben1-1 mutation was transformed to a partial loss-of-function mutation in the bas1-2 sob7-1 ben1-1 (triple-mutant) background showing enhanced levels of the wild-type−spliced transcript.
Let be the th term of the A transform of the partial sums of.
After that, Secretary of State Colin L. Powell flew off to Reykjavik, Iceland, to make final a separate agreement that would transform Russia into a partial member of the 19-nation NATO alliance.
In particular, darolutamide significantly inhibited the transcriptional activity of the F877L, H875Y/T878A, F877L/T878A, and the previously unreported T878G AR mutants, that transform enzalutamide into a partial agonist.
Derivation is based on local transverse-integrations over finite size brick-like cells that transform each partial differential equation to a set of ordinary differential equations (ODEs).
The modified Green's function method developed previously (Mukkavilli et al., 1987, Chem. Engng Sci., 42, 27 33) is extended to transform the partial differential equation into a Fredholm integral equation and to accelerate the convergence of the partial eigen series by an order of two.
A similarity transformation was used to transform the governing partial differential equations to a system of nonlinear ordinary differential equations.
Using the change of variables (a=x), (t=x+y), we transform the partial differential equation (1) into an ordinary differential equation with respect to x: frac{dn x,x+y)}{dx} = frac{partial{n a,t)}}{partial t}+frac {partial{n a,t)}}{partial a} = - mu x,x+y)n x,x+y).
Green's function method is applied to transform the partial differential equation for concentration into a Fredholm integral equation.
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