Sentence examples for by using the minus from inspiring English sources

Moreover, note that (theta ^(t)), given by (4.6), has two values; by using the minus sign, then we obtain the reciprocal of the spherical orthotomic ruled surfaces obtained by using the plus sign for a given integral constant.

Then, taking these pairs as input, we aim to enlarge the differences between the unmatched pairs while reducing the variations between the matched pairs, and we update the model parameters by using the mini-batch stochastic gradient descent (SGD) algorithm.

To examine the dynamic change of mixed microbial populations under various growth conditions, we modified the T-RFLP method (Liu et al. 1997) by using the mini-PAGE gel instead of sequencing gel.

Images were acquired at 1 hr, 3 hrs, 6 hrs, 9 hrs and 24 hrs post-injection by using the mini-gamma camera.

Tumor images were acquired at 1 hr, 3 hrs, 6 hrs, 9 hrs and 24 hrs post injection by using the mini-gamma camera.

The bias in the proportion of reactivated cases after sampling when the clustered cases are counted by using the "n minus one" method is described below.

Multiple 700 µL aliquots were then transferred into a Qiagen RNeasy mini spin column and RNA was purified by using the RNeasy mini kit (Cat. # 74106), following the manufacturer's instructions (Qiagen Sciences, USA).

RNA was purified and collected by using the RNeasy mini kit (Qiagen).

The cells were harvested six hours after release from starvation and total RNA was isolated by using the RNeasy mini kit (Qiagen).

Total RNA was extracted from 3.5×106 K562 cells incubated for 15 hrs with or without inhibitors by using the Illustra mini RNA isolation kit (GE Healthcare).

Total RNA was extracted from 3.5×106 VSMC incubated with or without Tn (5 µg/mL) and/or MG132 (1 µM) by using the Illustra mini RNA isolation kit (GE Healthcare).