Sentence examples for as given in the graph from inspiring English sources

Consequently, in determining the rate constant k1, oddly enough the room temperature value of the hydrogen ion concentration as given in the graph must be used although the process takes place at a greatly elevated temperature where the hydrogen ion concentration is totally different.

The resiliency as given in the graph is much lower compared to our scheme.

In the same way, the frequency distribution of the measurements of the time between two transitions of the Profisafe toggle bit Δt Profisafe is plotted in the lower graphs, with Tcy WH as given in (5).

Values of 0.05 ≤  P < 0.1 were regarded as tendencies and are given in the graphs.

Theorem 2 For any monogenic semigroup S M as given in (1), the girth of the graph Γ ( S M ) is 3. Proof By the definition of Γ ( S M ), since x n ⋅ x n − 1 = 0, x n − 1 ⋅ x 2 = 0 and x n ⋅ x 2 = 0, we then have x n − x n − 1 − x 2 − x n, which implies the result, as desired.

Theorem 1 For any monogenic semigroup S M as given in (1), the diameter of the graph Γ ( S M ) is 2. Proof It is clear that the vertex x of Γ ( S M ) is pendant, and so the diameter can be figured out by considering the distance between this vertex and one of the other vertices in the vertex set.

The PVs pre-processor performs the normalization operation as given in Equation 9, and the design flow graph is shown in Figure 6c.

Finally, our proposed energy function defined in Eq. (1) can be rewritten as given in Eq. (17) and we minimize it using graph cuts optimization based on α- β swap moves [7].

Prevalence is indicated as number of mutations in the graph on the right and mutational frequency is given in the left of the mutation plot.

Graphs of these dependences are given in the article.

For this reason, the networks built by StarNet should not be viewed as directional, or as indicating that any given gene in the graph is a direct influence on any other.