Sentence examples for we introduce on from inspiring English sources

Next, we introduce on (G_{m}) an orthonormal system which is called the Vilenkin system.

We introduce on (Z:=Xtimes X) the functional (tilde{d}:Ztimes Zto mathbb{R}_) defined by tilde{d} bigl((x,y),(u,v) bigr):=d x,u +d y,v). Notice that, as before, d̃ is a b-metric on Z with the same constant (sge1) and, if the space ((X,d)) is complete, then ((Z,tilde{d})) is complete too.

With the inequality we introduce, on the contrary, cooperators do better than defectors, even without any strategic behavior or exogenously imposed strategies.

(I have more thoughts on Nashiri's military commission over at the Daily Comment blog, which is a new feature we introduced on the site this Tuesday.*) The Pohl quotes above were tweeted out by Carol Rosenberg, of the Miami Herald, who was on the scene: anyone following the long story of Guantánamo should also follow her.

The Fundamental Opportunity Index, which we introduced on Nov. 6, 2008, still lags the S&P.

He added: "It was a very good confirmation and it highlighted the weaknesses of the package we introduced on the last days of testing".

On the other hand, in our examples we introduce margins on power at the system-level to trade the global power consumption with the robustness of the solution.

In particular, we introduce (based on [8]) and discuss shortly the corresponding general separated, self-adjoint boundary conditions.

Specifically, with respect to previous studies, we introduce information on travel times, which are assumed to be provided by a fleet of floating cars.

In this section, we introduce studies on video conferencing, and examine research results that could be adopted to reduce the amount of data.

After scoring these vignettes we introduce theory on culture as an important aspect of patient safety.