Sentence examples for 1 replaces from inspiring English sources

Step 1 replaces the eigenvalues of the given matrix with the requested ones, thus, it yields a matrix with the desired spectrum, impairing the matrix structure.

R 1 replaces y r 1 ( 1, l ) with r r 1 ( 1, l ) = E r 1 P r 1 ( l ) u, and scales the second group as r r 1 ( 2, l ) = λ r 1 y r 1 ( 2, l ) to be transmitted in the next time slot.

The direct distance from v 0 to v 1 replaces the projection distance of the delay time, since v 1 has the preceding sender of v 0. After waiting the delay time, v 1 propagates the modified warning message: Warn#1 v0, v1, GPS v 0, GPS v 1, Speed v 0, Speed v 1, Event k, Tstamp 0, Tstamp 1, Speed#1), Sign(Warn 0, SK v 0), Sign(Warn 1, SK v 1), Cert v 0, Cert v 1.   3.

The new Figure 1 replaces panel D of the original figure with the correct one used throughout the review process.

Binding of 1 replaces water molecule present in the structure of CDC25B and the hydroxyl group of 1 participates in a network of hydrogen bonds with remaining waters.

He joined the cast on Feb. 1, replacing Zachary Quinto.

Problem #3: See Rule #1, replace "iPod" with "iPhone".

[Existing Note 1 replaced by the following:] 31.2.

Chambliss, 51, replaces Milt May.

Youngblood, 50, replaces another former Met.

A new prisoner, 416, replaces 819, and brings fresh perspective.