Sentence examples for order denoted from inspiring English sources

The -Euler polynomials of order, denoted, are defined as (1.11).

The Bernoulli polynomials of order, denoted, are defined as.

Randomly generate the node numbers of all of the connected components, and sort them into ascending order, denoted by n 1, n 2, …, n c.

For we recall that the classes of meromorphic starlike, meromorphic convex, meromorphic close-to-convex, meromorphic -convex (Mocanu sense), and meromorphic quasi-convex functions of order, denoted by,,, and respectively, are defined by (1.5).

The random variable (X_{1}) is said to be smaller than (X_{2}) in the: (i) Stochastic order (denoted (X_{1}leq_{st}X_{2})) if (bar {F}_{1}(x leqoverline{F}_{2}(x)), for all (xgeq0).

We say that X is smaller than Y in multivariate mrl order, denoted by (mathbf{X}preceq_{mmr}mathbf{Y}), if (m_{mathbf{X}}^{(i)}(mathbf{t})leq m_{mathbf{Y}}^{(i)}(mathbf{t})) for all (i=1,dots,n).

In this letter, we discussed the plausible formation of [Au11Re] as a superatom with an electronic structure accounted by the 1S21P61D10 shell order, denoting similar stability to [W@Au12].

denotes the trace of a matrix, denotes the identity matrix of order, denotes the logarithm of base 2, represents the expectation operator, and the superscript denotes hermitian transposition operation.

JPEG2000 defines 5 progression orders denoted as LRCP, RLCP, RPCL, PCRL, and CPRL.

A semilattice is a partially ordered set, with the partial ordering denoted by, for which any pair of elements has a least upper bound, denoted by.

A semilattice is a partially ordered set X, with the partial ordering denoted by ≤, for which any pair ( x, x ′ ) of elements has a least upper bound.