is bounded and equicontinuous, and therefore the function is continuous on.
where and Therefore, the function satisfies the conditions of Lemma 2.2.
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.
In addition, it cannot be excluded that variants in other areas may alter the transcription and therefore the function of the protein.
Since the function q is convex on I, it is lower semicontinuous on I and, therefore, the function g is A k -measurable.
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.
For t = 0, we have L ( z, 0 ) = 1 / f ( z − 1 ), for z ∈ U and therefore the function f is univalent in U ∗. □.
In this case, the lake is usually clearly visible, but the temperature contrast between the lake and crater walls has been muted, and therefore the function disregards the image.
We also have (X xi,xi,xi_{0},eta_{0})=0), and therefore the function (G xi,eta; xi_{0},eta_{0}) ) vanishes on the line ({eta=xi}) of power 2β.
