Sentence examples for if it continuous from inspiring English sources

A function (psi :{mathbf{R}}_{0 + } to {mathbf{R}}_{0 + }) is said to be a (varPsi -function if it continuous with (psi left( 0 right) = 0) and (psi^{n} left( {a_{n} } right) to 0) when (a_{n} to 0) as (n to infty).

∗ is associative and commutative; (ast:[0,1]^{2}rightarrow[ 0,1]) is continuous (note that a t-norm is continuous if it is continuous as a mapping under usual topology on ([0,1]^{2})); (aast1=a) for all a∈ ([0,1]); (aast bleq cast d) whenever (aleq c) and (bleq d).

A binary operation (ast:[0,1]^{2}rightarrow[ 0,1]) is called a continuous t-norm if (1) ∗ is associative and commutative;   (2) (ast:[0,1]^{2}rightarrow[ 0,1]) is continuous (note that a t-norm is continuous if it is continuous as a mapping under usual topology on ([0,1]^{2}));   (3) (aast1=a) for all a∈ ([0,1]);   (4) (aast bleq cast d) whenever (aleq c) and (bleq d).  .

A function (f:mathbb{T}rightarrowmathbb{R}) is right-dense continuous if it is continuous at right-dense points in (mathbb{T}) and its left-side limits exist at left-dense points in (mathbb{T}).

And f is continuous if it is continuous at every p for which f(p) is defined.

A t-norm is continuous if it is continuous in (mathbb{I}^{2}) as mapping.

Moreover, a triangle function is continuous if it is continuous in the metric space.

A t-norm is continuous if it is continuous as a function.

And T is continuous if it is continuous at every point of X.

Proof of Theorem 3.2 Note that on a compact set A, g is uniformly continuous if it is continuous.

An operator is called completely continuous if it is continuous and maps bounded sets into pre-compact sets.