Sentence examples for using this definition we from inspiring English sources

By using this definition, we present various practical techniques for computing the matrix function f(A).

Using this definition, we suggest two approximate formulas to estimate the critical mutation rate after which the quasispecies delocalization occurs.

Using this definition, we derive necessary and sufficient conditions for the efficiency of ex ante trade and show that these conditions follow from the fundamental welfare theorems.

Using this definition, we calculated (b) the number of OTUs present in C-F patients only (purple), PtC patients only (turquoise) or shared between the patient groups (blue) in a scaled Venn diagram.

Using this definition, we confirm that the evolution of cosmic ray intensity is different for odd and even cycles and we show that odd cosmic ray cycles are longer and have longer autocorrelation interval lengths than even cycles.

Using this definition, we consider a multifaceted aspect of knowledge transmission.

When we use this definition we think of a point ({t}) as the union of two half-points ({t^+}) and ({t^-}).

Using this definition of silencing, we were able to detect gene silencing in both the AD1 and F1 accessions.

Using this definition of compatibility, we can now more precisely state that M forms a match if every pair of RPDs between its k protein pairs is compatible.

Using this definition as a model we can see that throughout the centuries Stoicism has been a common thread though some of history's great leaders.

Looking across the transcriptome using this definition of read duplication, we observed a roughly normal distribution along the length of all transcripts captured.