Sentence examples for order is continuous from inspiring English sources

Every positive linear operator between Banach lattices is always continuous (see [[8], p.2] or [[9], Theorem 4.3]) and, in particular, every inclusion F ⊂ F ˜ of Banach lattices with the same order is continuous.

At the junction point, the derivatives up to r - 1 order are continuous.

Since is order continuous, is continuous.

where f(x) is a function whose nth-order derivative is continuous, and L f (x) is n-degree Lagrange interpolation of f(x), x 0,x 1,⋯,x n denote the interpolation points, and ξ∈[x 0,x n ].

According to the discussion in [26], the physical world always varies continuously and S i is smooth enough to have a continuous fourth-order derivative, i.e., S i ∈C 4[t s,t f], where C 4[t s,t f] denotes the set of functions whose fourth-order derivative is continuous in [t s,t f].

A new fixed point theorem in a cone is applied to obtain the existence of positive solutions of some fourth-order beam equation boundary value problems with dependence on the first-order derivative where is continuous.

with and denotes the th Pseudo-derivative of, denotes the Pseudo fractional differential operator of order, is a continuous real-valued function on, and is a vector-valued Pettis-integrable function.

In order to show that is continuous at, we set.

Since f(x) is second order differentiable, f'(x) is continuous on (x L, x R ).

In order to explain that is continuous at, we only need to know that the sequence satisfies as.

Let be an ordered Polish space, where is continuous.