Sentence examples for without the condition that from inspiring English sources

However, it is still an important problem whether these graceful properties can also be satisfied without the condition that it is a normal distribution.

In the case of and in Theorem 3.4 (resp., Theorem 3.5), we can show that and have a coincidence point (resp., and have a unique common fixed point) without the condition, that is,.

The databases with sequence information on the human genome were made publicly accessible for everyone without the condition that enforced the sharing of this information in other formats (Sulston and Ferry 2002: 222).

In Africa, India and south-east Asia, better education is important in the war against witch-hunting, but without the conditions that prevent neighbour fighting neighbour for scarce resources, and lawless armies unleashing rough justice, the spread of enlightened ideas will not be enough to stop the killing.

That would be in defiance of the congressional appropriations that earmarked the money for the fund without the conditions that are now being imposed.

Without requiring the condition that the coefficients are smooth functions, this paper is a first try to apply the backstepping control design method to prove the globally asymptotic stability in probability of stochastic nonlinear systems in strict-feedback form.

The approximation of fixed points of multivalued mappings with respect to the Hausdorff metric, using Mann [2] or Ishikawa [3] iteration scheme, has never been successful without imposing the condition that either the fixed point set of S is strict or that S is a multivalued mapping for which (P_{S}) satisfies some contractive conditions (see, e.g., [1, 4 9], and references therein).

Consequently, they introduced the 'type-one' condition, which guarantees the weak convergence of the Mann sequence ({r_{n}}) without imposing the condition that the fixed point set of S is strict to a fixed point of a multivalued quasi-nonexpansive mapping S in a real Hilbert space.

The man, Russell Weller, was released without bail on the condition that he not operate any motor vehicle.

"It should not be possible to commit the biggest doping scandal of the 21st century and then be reinstated without completing the conditions that have been set," the letter added.

Semendeferi says, "Just demanding particular behaviors without eliminating the conditions that lead to unethical practices will not solve the issues".