Sentence examples for by replacing the second from inspiring English sources

These equations can be obtained from the standard advection diffusion equations by replacing the second order spatial derivative by a fractional operator of order α with 1<α≤2.

We transform the bilevel model into a single-level mixed integer linear program by replacing the second level (follower) problem by its KKT conditions and by linearizing the complementary constraints, and then we solve the MIP problem with a commercial optimization solver.

The pseudomorphic submonolayer bimetallic structures (Au-M-Au) were built by replacing the second layer of Au (100) slabs with a layer of the appropriate metals (Pt, Cu, and Fe).

Controls were done by replacing the second primary antibody by blocking buffer.

We have constructed a 5T4KO mouse by replacing the second exon of 5T4, which encodes the entire protein, with an IRES-LacZneo reporter gene in ES cells.

We have created a new allele of Splotch by replacing the first coding exon with a gene encoding Cre recombinase.

The potential of combined attention and recognition is illustrated by replacing the first layer of the HMAX architecture with a saliency network.

Euclid saw farther, for coherent geometries (known as non-Euclidean geometries) can be produced by replacing the fifth postulate with other postulates that contradict Euclid's choice.

In this paper, we consider the numerical resolution of a time-fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the first-order time derivative with a fractional derivative (of order α, with 0⩽α⩽1).

Such a problem is obtained from the classical diffusion equation by replacing the first-order time derivative by the Caputo fractional derivative of order (alphain 0,1)).

The fractional Lotka-Volterra equations are obtained from the classical equations by replacing the first-order time derivatives by the derivatives of fractional order.