The best strategy, therefore, is to assume the existence of function and purpose until one is finally forced to conclude that none exists.
With the help of Lemma 2.4 we can now deduce the existence of function u 0 ∈ K ∩ Ω ¯ r 2 ∗ ∖ Ω r 1 such that F u 0 = u 0. Hence, the problem (1.1 - 1.2 1.1 - 1.2east one solution.
ABF family members might have specificity in their role under different stresses apart from existence of function redundancy, in which ABF3 and ABF4 played essential roles in germination control and ABA/stress response, whereas ABF2 was more closely implicated in seedling growth regulation and glucose response [ 8, 13].
By using the estimate (2.25), we deduce the existence of functions, such that in and in.
Let us show the existence of functions (y_{s}=e^{omegalambda x}q_{s} x,lambda)), (s=1,2,ldots,m), satisfying the system of equations (15) for the operators (L=L_{lambda}), (L^{ k)}=L_{lambda}^{ k)}), (k=1,2,ldots,m).
Relative to a model M this ESO sentence asserts the existence of functions f and g and an element t such that f = g (implication from left to right), this function is injective (implication from right to left), and its domain is the whole domain of M but the element t does not appear in its range.
The computational and visual observations together suggest the existence of function-related morphology traits that describe the continuum of LPA values.
Here we shall mention that since the existence of amplifications function and behaved functions in model (1.1), thus there are some difficulties in dealing with the exponential stability.
Detailed studies are now urgently needed to determine the physiological consequences of mRNA regulation, covalent PTM modifications, and the existence of modulatory function(s) of endogenous ligands of NR2F6 function in detail.
Moreover, the theory of rearrangement plays an important role in proving the existence of maximizing function.
The existence of this function shows that there are decompression algorithms f which have a finite f-complexity for any finite string.
