Sentence examples for means we derive from inspiring English sources

In Section 5, after setting up some prerequisites about operator means, we derive certain integral inequalities involving positive linear maps and operator means.

Unlike Dot, Nick is scripted as a semi-regular character, one who comes and goes sporadically and, as authors Jill Marshall and Angela Werndly have observed, "we know heartache is in store for Dot Cotton every time her son, 'Nasty Nick', turns up The recurrence of generic elements means we derive pleasure from expectation and prediction".

Fortunately all reaction rates of the ODE model are first order, which means we can derive a Markov Process whose average behavior is exactly described by the ODE model for the same set of parameters [20].

It means that we derive the necessary condition of identifiable systems when such data are available.

In the present paper, we would like to introduce a simple transformation for bivariate means from which we derive a lot of new means.

We introduce a novel methodology based on well-known results on FIFO multiplexing from Network Calculus, by means of which we derive an end-to-end delay bound for tagged flow traffic.

By applying MBPTA on the R miss counts collected from the program by means of simulation, we derive a probabilistic Worst-Case Miss Count (pWCMC) distribution an upperbound of the miss count distribution of the program under analysis1.

3. "Buy many small pleasures instead of few big ones" Again, our ability to adapt even to the greatest possessions means that the pleasure we derive from that new Corvette or front-loading washer diminishes quickly.

Using the mean-value theorem, we derive that e p i ( n ) − e q i ( n ) = ξ i ( n ) ( p i ( n ) − q i ( n ) ), (B.9).

By (3.2) and the mean value theorem, we derive that lim_{irightarrow infty } int_{Omega }biglvert u(t_{i} bigrvert ^{p(x)},dx= int_{Omega }vert varphi vert ^{p(x)},dx.

Specifically, for the general case, in terms of the mean performance, we show that the mean value of the weight error vector approaches zero as iteration numbers go to infinity, which implies the asymptotical convergence of the proposed algorithms; from the perspective of mean square performance, we derive the mathematical expressions for the steady-state MSD and EMSE values.