Sentence examples for a attains from inspiring English sources

Now ∥ A ∥ = 1 and A attains its norm only at the points of the form λ x 0 with λ ∈ S K, so y ∈ { λ x 0 : λ ∈ S K }.

Thus f o A attains its norm only at the points of the form λ x 0 with λ ∈ S K. Considering the hyperplane H = { x ∈ X : f o A ( x ) = 1 }, it is easy to verify that H ∩ B X = { x 0 } and so x 0 is an exposed point of B X. □.

The partial derivative of (tilde L) with respect to a attains the value zero if (a=tilde a alpha)) where {tilde a} alpha)^{p} = frac{1}{2}left(hat a alpha)^{p}+hat b alpha)^{p}right) what ever the value of α is.

If we examine the first case above where X is present inhomogeneously initially, we see from the equations at steady state that A attains a uniform profile.

Can we tailor treatment strategies based on whether a patient attains a pCR a not?

Perhaps no mandate can be won unless a campaign attains a certain level of reality.

In the absence of selection a population attains a stable age-distribution.

surrounding it, a molecule attains an excited state in which it has an abnormal energy content.

Only in Region A was it attained.

There is no golden age of grading, despite nostalgia for a time when only a few students attained a first.

"A poem," he promises, brings "a way to attain a life without boundaries".