Sentence examples for fold real from inspiring English sources

Despite the talk of recession, real disposable income in the twenty first century has in most parts of the world outstripped many fold real disposable income of the 1950s and a typical house is no longer furnished just with necessities.

A highly significant increase (over 15 fold, Real Time PCR) in p53 transcript level was observed in DU145-Id4 celineine as compared to DU145 cells (Fig. 6C).

two real distinct roots and. a two-fold real root, and. a two-fold real root and.

-dimensional if (2.2) has (a) two real distinct roots and   (b) a two-fold real root, and   (c) a two-fold real root and  .

and, finally, in the case of one two-fold real root, we have either (25).

two real distinct roots and. a pair of complex conjugate roots; a two-fold real root and.

(d) Analysing the statement of Theorem 2.4 (The case (2.6) of two-fold real root), we obtain the following subcases.

Analysing the statement of Theorem 2.4 (The case (2.6) of two-fold real root), we obtain the following subcases.

Then the space of solutions, being initially -dimensional, becomes on only (1) -dimensional if (2.2) has (a) two real distinct roots and   (b) a two-fold real root, and   (c) a two-fold real root and     (2) dimensional if (2.2) has (a) two real distinct roots and   (b) a pair of complex conjugate roots;   (c) a two-fold real root and.    .

dimensional if (2.2) has (a) two real distinct roots and   (b) a pair of complex conjugate roots;   (c) a two-fold real root and.  .

(c) Analysing the statement of Theorems 2.2 and 2.3 (the case (2.5) of two-fold real root), we obtain the following subcases.