Sentence examples for graphs over the from inspiring English sources

We then optimize the edge weights of sparse graphs over the identified topologies.

Let G and G′ be any two graphs over the vertex set V such that every probability distribution on V that satisfies the CMC and Minimality Condition with respect to G also satisfies these conditions with respect to G′, and vice versa.

Linear calibration graphs over the concentration range 0.02 0.5 mg l−1 with a 3σ limit of detection of 0.01 and 0.1 2 mg l−1 with a limit of detection of 0.07 mg l−1 were obtained by applying the photometric method and the fiber-optic sensor, respectively.

Denote by (R_{1}) the component that contains (f_{1} 0timesmathbb{D}_{r})); (R_{1}) is a collection of vertical-like disks that can be parametrized as graphs over the second coordinate, (R_{1}(s,z)= phi^{1}_{s} z),z)) for all (sin[0,1]).

By Lemma 3.4, the set (L=H^{-1} ( f_{n} dttimes mathbb{D} _{r}) )cap V) consists of d vertical-like disks that we can label as (t+i/d), for (i=0,1,ldots, d-1), and then parametrize as in Lemma 3.4 as graphs over the second coordinate ((varphi^{n+1}_{t+i/d} z),z)).

Lemma 4.1 There exists τ 0 > 0 such that, for all τ ∈ ( 0, τ 0 ) an annular part of the ends E t, τ, E b, τ and E m, τ of M k, τ can be written as vertical graphs over the annulus A of the functions Z t ( r, θ ) = σ τ + τ ln ( 2 r τ ) + O C b 2, α ( τ 3 ), (20).

But the fact that MySpace didn't automatically port our accounts and the friend graph over from its old system is lost on me.

A. We think that the most disruptive business models will take advantage of that social graph over the next five to 10 years.

The graph over the variables in V is intended to represent the causal structure among the variables.

Density The density of the graph is the ratio of the number of edges in the graph over the number of possible edges.

This design gave a satisfied sensitivity with a linear calibration graph over the range of 0.1 3.0 μg mL−1 of Cu II) and correlation coefficient 0.9991.