Sentence examples for formula of degree from inspiring English sources

Degree centrality (Freeman 1979) can be calculated by using Freeman's formula of Degree centrality: C_{D} v =frac{K_{v}}{n-1}= sum_{j in G}frac{a_{vj}}{n-1} (1)where Kv is the number of connections of a node and n is the total number of nodes in the network.

These approaches mainly consider computational efficiency because, ideally, to estimate the error of a formula of degree d1, we need to compute a better approximation of degree d2 >  d1.

For first-derivative methods of the same degree, assuming a constant step size h, this error is BDF 4 (t n + 1 ) − x (t n + 1 ) ≈ 72 750 h 5 x (5 ), ξ ∈ [ t n − 3, t n + 1 ], AM 4 (t n + 1 ) − x (t n + 1 ) ≈ 19 720 h 5 x (5 ), ξ ∈ [ t n − 3, t n + 1 ], in the case of the BDF and the Adams-Moulton formula of degree four, respectively.

Any recursion of the form shown, where p(n) is any polynomial in n, will have a polynomial closed form formula of degree one higher than the degree of p. Write the general form of a polynomial of the required degree.

In this note cubature formulae of degree 5 are studied for n-dimensional integrals over the ball with constant weight function.

Gödel shows that if the completeness theorem holds for formulas of degree k it must hold for formulas of degree k + 1.

Thus the question of completeness reduces to formulas of degree 1.

That is, it is to be shown that any normal formula (Q φ of degree 1 is either satisfiable or refutable, where "(Q)" stands for a (non-empty) block of universal quantifiers followed by a (possibly empty) block of existential ones.

We construct a cubature formula of algebraic degree of exactness n with n2/2+O(n) nodes, on the bidimensional domains generated by linear blending of two arcs of ellipses corresponding to the same angular interval.

He gives the formula of the degree of credibility of an event reported by independent testimonies as a function of the number of witnesses, of the number of testimonies, and of the number of true and false propositions stated by each witness.

Leucocontextin X (6) gave a molecular ion peak at m/z 656.3188 [M]+ in its HREIMS spectrum, indicating a molecular formula of C36H48O11 (13 degrees of unsaturation).