Sentence examples for that a firmly from inspiring English sources

Loads of moist humus are graded by hand, larger stones discarded; gravel is then mixed in, and the moisture content regulated such that a firmly gripped handful clumps together yet remains stiff.

It is obvious that a firmly nonexpansive operator is nonexpansive.

It is easily seen that a firmly nonexpansive mapping is nonexpansive due to the Cauchy-Schwarz inequality.

Note that a firmly nonexpansive mapping (1-inverse strongly monotone mapping with α = 1 ) is a (1,0 -monotone mapping.

Based on the Cauchy-Schwarz inequality, it is not hard to show that a firmly non-expansive mapping is non-expansive.

It is well known that (P_{C}x) is characterized by the inequality P_{C}xin C,qquad langle x-P_{C}x,z-P_{C}x rangleleq 0,quad zin C. It is easily seen that a firmly nonexpansive operator is nonexpansive.

It is well known that is a firmly nonexpansive mapping of onto, that is, (2.3).

The well-known Browder's characterization of ensures that is a firmly nonexpansive mapping from onto, that is, (2.2).

Of course, that requires a firmly held world view and clearly articulated goals -- which are in no short supply with Mr. Rumsfeld.

It is well known that is a firmly nonexpansive mapping of onto and satisfies (2.3).

In [11], Song proved that for a firmly nonexpansive mapping T, an important subclass of nonexpansive mappings, the answer of the Halpern open problem is affirmative.