Sentence examples for for every connected from inspiring English sources

In [2] the authors show that, for every connected graph, (R(G)) is bounded as 0 leq R(G) leq d_{1}.

Furthermore, if (Esubset mathbb{R}^{n}) is a Lebesgue measurable set with Lebesgue measure (vert E vert ), we set u E = ⨍ E u d x the integral average of u on E. In [37], it was proved that for every connected (Ksubset Omega ) there exist constants (C_{1},C_{2} >0) and (0<lambda <1) such that C_{1}vert x - y vert leq d x,y) leq C_{2}vert x - y vert ^{lambda }, quad x,yin K.

Recall that it was shown (Proposition 8 in [6]) that there is a monotone map (Pi X_{F}to X_{f}); i.e. (Pi^{-1}(K)) is connected for every connected set (Ksubseteq X_{f}).

Synchronized online slide presentation consumes server resources for every connected user, but not as much as the video conferencing system do.

With regards to the common rings of size five and six, OrChem creates textual descriptors for every connected set of three of these encountered and incorporates this information into the fingerprint.

It is well known that, for every connected graph of order n (see [30]), we have frac{1}{n-1} leq frac{2}{n} sum_{ i,j in E} frac{1}{d_{i}d_{j}} < 1 and, consequently, frac{n^{2}}{n-1} leq b_{1} < 2n, (15) where the left inequality is attained for the complete graph (G=K_{n}).

For every "connecting" punch and slap there is a knap.

Some experts predict that, by 2010, there will be 10,000 machines for every person connected to the Internet.

The procedure proposed in [1] requires to run (m=20) sample-point test for every edge connected (x_{i},x_{j}}) ((ine j)) in the training set.

This follows from G. S. Young's general theorem (1946) that establishes the fixed-point property for every arcwise connected Hausdorff space in which each monotone increasing sequence of arcs is contained in an arc.

The next step is to compute c x,τ′, S), by using the values of c x,τ1, S1) and c u,τ2, S2) for every u connected to x, and all feasible set of colors S1 and S2.