Sentence examples for required that the function from inspiring English sources

Recently, using the fixed point theorem, Zhang et al. [8] obtained the existence of a positive solution of (1.1), where they required that the function a is of definite sign.

Minimizing the energy based on this L1 norm requires that the function to be convex and differentiable.

We require that the Boolean function F possesses some fundamental properties imposed on each block cipher for security reasons; namely, we require that the function is a strictly non-linear bijection and that it has a good diffusion.

In particular, we obtain for such a problem the existence of at least three nonnegative solutions by requiring that the function g has a superlinear behavior at zero, a sublinear behavior at infinity, and a particular growth in a suitable interval [ c, d ].

It requires that the functions expressed by a language-particular category should occupy a contiguous area in the semantic map.

One of the main difficulties in estimating the CRF in a noise-robust way is that it is required that the weighting function is known.

However, all of them required that the Green function associated to the linear equation problem left { begin{array}l} u t)+q(t)u'(t)+p(t)u(t)=0, u(0)=u(T),qquad u'(0)=u'(T) end{array} right.

In the derivation of AIC, it is only required that the likelihood function is maximized; consistency is not required.

Such optimal mapping required that the synaptic gain function, i.e. the "characteristic curve", would remain unaffected by the R-LMC-R system's state of light adaptation [38].

To replace, refine or reduce (3Rs) the large numbers of fish used in in vivo uptake studies an effective in vitro screen is required that mimics the function of the teleost gill.

We call it a word hash function because we require that the hash function can hash multiple integers packed in a word in constant time.