Sentence examples for thereby left from inspiring English sources

Thereby, ( left( 1-frac{b}{a}right) ^{beta }le 1-left( frac{b}{a}right) ^{beta }. ) This inequality gives begin{aligned} |a-b|^{beta }=a^{beta }left| 1-frac{b}{a}right 1-frac{b}{a}righteta }-b^{beta }. end{aligned}So (2.6) holds for (a>bge 0).

The deadlock occurred when Justice Peter G. Verniero removed himself from consideration of the case before arguments were heard, and thereby left an even number of six justices to hear the case.

The practical and constitutional inadequacies of the original electoral college system became evident in the election of 1800, when the two Democratic-Republican candidates, Jefferson and Burr, received an equal number of electoral votes and thereby left the presidential election to be decided by the House of Representatives.

The task of STO correction is thereby left to a three-tap equalizer, which lowers the demand for accurate STO estimation.

Whether it was a trick of the shadows that made you second guess yourself, a temperature change that somehow had you convinced that you were in the presence of a ghost -- or a light formation in the sky that spooked you just enough to think you'd seen something unearthly; whatever it was, it defied reason on a deeply personal level and thereby left you awed by its mysterious occurrence.

The terminal serine of furS is thereby left at the N-terminus of processed GrB, rendering the enzyme inactive.

Thereby leaving things just where they were.

Consequently, he became excessively secretive, thereby leaving Davis feeling uninformed.

This meant that the bearish sentiment was largely suppressed, thereby leaving the market to the bulls.

Moreover, Skipper Pinter, inscrutable as always, has decided at the last moment to absent himself, thereby leaving his lads leaderless.

Now, however, C can shoot a disarmed A, thereby leaving himself as the sole survivor, or outcome (1).