Sentence examples for given any element from inspiring English sources

Given any element σ of (mathcal{{C}}).

Given any element σ of C, we denote by (c sigma)) the sequence ({ c_{n}(sigma)}) which is such that (c_{n}(sigma) = 1) if (n in sigma), (c_{n}(sigma) = 0) otherwise.

Given any element ζ of U, we denote by (c zeta)) the sequence ({ c_{mn} zeta)}) such that c_{mn} zeta) = textstylebegin{cases} 1; & mbox{if } (m,n) inzeta, 0; & mbox{otherwise}.

Given any element ζ of (mathcal{{U}}), we denote by (c zeta )) the sequence ({ c_{mn} zeta )}) such that c_{mn} zeta ) = textstylebegin{cases} 1 &mbox{if } (m,n) in zeta, 0 &mbox{otherwise}.

If you have given an element an ID (the id attribute of any element, you can use this ID instead of the name of the element. (This is usually required in strict HTML).

We say that the function f has the ⪯-comparable property if and only if, given any two ⪯-comparable elements x and y in X m, the function values f ( x ) and f ( y ) are ⪯-comparable.

The function f is said to have the ⪯-comparable property if and only if, given any two ⪯-comparable elements x and y in X m, the function values f ( x ) and f ( y ) are ⪯-comparable.

The function f is said to have the ≼ I -comparable property if and only if, given any two ≼ I -comparable elements x and y in X m, the function values f ( x ) and f ( y ) are ≼ I -comparable.

We say that the function f has the ≼ I -comparable property if and only if, given any two ≼ I -comparable elements x and y in X m, the function values f ( x ) and f ( y ) are ≼ I -comparable.

"What the Americans said, and we backed them up in saying this, is that we wouldn't find it acceptable if equipment was transferred from Syria to Iraqi forces in the field, or there was any suggestion of any support being given by any elements in Iran to those troops attacking coalition forces, " Mr. Blair told the legislators.

When you give any thought to any element of it – from the physical properties of faeces, to the range of human bowel capacity, to Edison's character as it had been drawn up to that point – none of it is convincing.