Sentence examples for and this equality from inspiring English sources

Since u j m ( t ) = ∫ 0 t u j m ′ ( s ) d s, it follows from the uniform convergence of the two subsequences that u ( t ) = ∫ 0 t v ( s ) d s, and this equality implies that u ( 0 ) = 0 and u ′ = v.

"This cloud of limitation has just started to really lift and uncover this equality - it's fantastic".

To the extent that workers have the choice between public and private employment, this equality of public sector wages can also limit regional differentiation of private wages.

Using this equality and replacing C1and C2 by their expressions from equations (14) and (15) lead to the following equation: x C dec. N CSymb = ( y − 1 ) C dem + ( M ).

Women have all this equality and opportunity now, but we can't handle it.

Conservative pundits here like to speak of this equality and sameness as being cornerstones of "Japanese" tradition.

Using this equality and Proposition 14, one can state the following result.

Based on this equality and the firm nonexpansiveness of, we derive (1.27).

So, the result follows by using this equality and Proposition 10. □.

(19) From this equality and Eq. (18), Eq. (16) follows for ground states as well.

Using this equality and (16), we get | M | ≤ C w | λ | for  λ ∈ G w. Thus, lim N → ∞ I N = 0.