Sentence examples for therefore there exist from inspiring English sources

Therefore there exist at least cat nonzero critical points of I ε and thus cat solutions of equation (1.4).

Set, then satisfies (H), and therefore there exist a great number of functions satisfying the assumption (H).

In addition, the empirical findings of Myers (1993), Fama and French (1998 and 2002), Shyam-Sunder and Myers (1999) argue that most profitable firms borrow least, therefore there exist a negative relationship between profitability and leverage.

Therefore, there exist unavoidably some estimation errors.

Since therefore there exist real numbers and.

Therefore, there exist constants, such that (1.19).

Therefore, there exist positive numbers, such that.

Therefore there exist and satisfying (341).

Therefore, there exist such that, uniformly on.

Therefore there exist three noncollinear points.

Therefore, there exist and such that (2.9).