Sentence examples for upper fundamental from inspiring English sources

Particular attention is given to the linear dispersion at the origin of two upper fundamental branches.

An upper spring ordered transversal space is called upper complete (or upper spring complete) if any upper fundamental sequence ({x_{n}}_{ninBbb{N}}) in X is upper convergent (to a point of X, of course).

Let f be an increasing mapping of an upper spring ordered transversal space (X:= X,preccurlyeq,A)) into itself, where every increasing sequence of iterates ({f^{n}(x)}_{ninBbb{N}cup{0}}) in X is upper fundamental.

Because (apreccurlyeq f(a)) and f is isotone, we find ({f^{n}(a)}_{ninBbb {N}cup{0}}) is an increasing sequence of iterates which is upper fundamental, i.e., bounded in X.

On the other hand, in connection with this, the sequence ({x_{n}}_{n inBbb{N}}) in X will be called upper fundamental (or upper spring fundamental) if the following inequality holds: A(x_{n}, x_{m} prec a_{n} quad mbox{for all }n, min Bbb{N} (n< m), or for n and m large enough, where the decreasing sequence ({a_{n}}_{ninBbb{N}}) in ([a, b)) converges to a (cf. [5]).

On the upper level, fundamental DSP operations such as multiplication and addition are mapped onto blocks of 4-bit cells.

The concept of limit eigenvalue, which is the upper bound of fundamental eigenvalue achieved by adding supports, is introduced.

In the first part we establish the global Gaussian upper bounds for fundamental solutions of certain linear degenerate parabolic equations.

We derive pointwise upper bounds for fundamental solutions of the equations under weak assumptions for the velocity of the drift term.

(15)–(17) then yields that the fundamental upper limit that D r,ω) can attain for such a wave is D mathbf{r},omega)=3-frac{2}{sqrt{1+3tilde{n}^{4} omega chi^{4} omega)}}, (19).

This stands in contrast to the maximization of the ASR, which is relatively straightforward since the sum capacity is the fundamental upper bound for the ASR.