Sentence examples for positive powers from inspiring English sources

It is well known that (see, e.g., [1, Chapter 6]) the positive powers of the Laplace operator can be defined by (1.1).

We now use Theorem 4.1 to obtain the following close formulae of sums of any positive powers for the ( p, q ) -Fibonacci and Lucas polynomials.

with positive powers has been extensively studied by many authors for various problems such as global existence and finite time blow-up, Fujita exponents, non-simultaneous and simultaneous blow-up, and blow-up rates, (see [8 10] and references therein).

For Mendelssohn, any "pure gratification of the soul must be grounded in the positive powers of our soul and not in its incapacity, not in the limitation of those original powers" (On Sentiments, Fourth Letter; Philosophical Writings, p. 19).

In this section, we shall extend the two sum relations due to Lee and Asci and give the close formulae of sums of any positive powers for the ( p, q ) -Fibonacci and Lucas polynomials.

(1) An element of the space X is hypercyclic (supercyclic) for all positive powers Tn of an operator T in B X) if it is hypercyclic (supercyclic) for T. (2) Under some condition on the spectrum of the adjoint of a cyclic operator, the set of all cyclic vectors of the operator is dense.

Scalability: For all, The positivity property ensures positive power values of the joint routing and power control problem (15).

"The film has a lot of positive power.

What Wednesday's events reveal, is the positive power of freely accessible information.

JF I don't really agree with you on agnosticism or the positive power of Facebook.

"He advocates for the positive power of the herb," a voice-over says.