Sentence examples for quantity it requires from inspiring English sources

Since the kinetic energy is a positive quantity, it requires that ψ ϕ1) ≤ 0 for the entire of motion, i.e., in the interval 0 < ϕ < ϕmax ϕmin < ϕ < 0) for the compressive (rarefactive) solitary waves.

Since the kinetic energy is a positive quantity, thus it requires that ( psi (phi ) le 0 ) for the entire of motion.

For the determination of optimal downtime, uptime of production, and production quantity, it is required to minimize the expected total cost.

This latter quantity is intractable since it requires an integration over the parameters (θ ∗, d∗, b∗, s∗).

Of course, any effort to address the global consequences of our oil dependence faces an enormous obstacle -- the apparent bipartisan consensus in Washington to make whatever compromises are necessary to ensure that America receives the ever-increasing quantities of petroleum that it requires.

What are the relative quantities of chemical nutrients it requires for growth?

This can be demonstrated quite instructively from Eq. (6) which implies that for, meaning that it requires a quantity proportional to the vocabulary size Nw to introduce a new word, or alternatively, that a quantity proportional to Nw necessarily results from the addition.

Further it requires minimal quantity of genomic DNA.