Sentence examples for variations we developed from inspiring English sources

In this section, we use the q-calculus of variations we developed in Section 4 to investigate the existence of solutions of the qFSLP D_{q,a^^{alpha}p(x)^{mathrm{c}}D_{q,0^^{alpha}y(x) +r(x y(x)=lambda w_{alpha }y(x),quad xin A_{q,qa}^, (5.1) under the boundary condition y(0)=y(a)=0.

Inspired by behaviors of fish groups seeking darker (shaded) regions in environments with complex lighting variations, we develop distributed source-seeking algorithms for a group of sensing agents with no explicit gradient estimation.

To characterize various alleles and complex genetic variation, we developed an analytical framework for haplotype-based de novo assembly of the low-coverage sequencing data in rice.

Using a model-based analysis of CH variation, we developed an improved normalization method for CH data, and show that CH compounds have reproducible cyclic within-day temporal patterns of expression which differ between LD and DD conditions.

To accommodate light, growth, and individual positioning variation, we developed a hierarchical linear model for estimation of a background threshold (see Materials and Methods).

We compared the performance of four published MCMC samplers and five novel sampler variations that we developed.

(Pv=Genotypic variation Gv + environmental variation Ev)," we developed a 4-wk unit for an inquiry-based laboratory course focused on the inheritance and expression of a quantitative trait in varying environments.

For fractal dimension estimation based on structure function and variation methods, we developed custom MATLAB (MathWorks Inc., Natick, MA, USA) codes.

Since the Tiling Analysis Software TASS) provided by Affymetrix can process the results of a comparative hybridization only at the level of oligonucleotides and a user usually might be more interested in the genes that are affected by the detected variations, we also developed a Java software tool to translate these results to the level of genes.

To control for variations in spinal procedures, we developed a quantitative index to rate the invasiveness of surgery.

Sensitivity analysis revealed that the impact adjuvant treatment may be underestimated given the lack of data on temporal variation in treatment efficacy.We developed a simulation model that uses CISNET base case inputs and closely, but not exactly, reproduces U.S. breast cancer mortality rates.