Sentence examples for and therefore the function from inspiring English sources

where and Therefore, the function satisfies the conditions of Lemma 2.2.

is bounded and equicontinuous, and therefore the function is continuous on.

In fact, if the characteristic equation (4.2) has a real root, then and, therefore the function.

In fact, if the characteristic equation (3.3) has a real root, then we clearly see that and therefore the function.

For t = 0, we have L ( z, 0 ) = 1 / f ( z − 1 ), for z ∈ U and therefore the function f is univalent in U ∗. □.

Since the function q is convex on I, it is lower semicontinuous on I and, therefore, the function g is A k -measurable.

"This transition is an ideal one because it changes nothing regarding the balance of shareholders of L'Oréal and therefore the functioning of the administration," Agon said.

Solving this system, we can obtain the unknown coefficients (c_{i}), (i=0,1,ldots,(m+n-1)) and therefore the functions (f^{(j)}(x)), (j=0,1,ldots,n) are identified.

Our conjecture is that these rules allow to obtain, for a given T-mesh, a set of linearly independent spline functions with the property that spaces spanned by nested T-meshes are also nested, and therefore, the functions can reproduce cubic polynomials.

It is thus likely that our knowledge of the targets and therefore, the functions, of this oncogene is still limited, given the possibility that it regulates distinct sets of targets in different cell types and physiological growth conditions.

Thus, there is a topographic organization to the circuitry, and therefore the functions, of the primate PFC.