In mathematics, a cylinder set is the natural open set of a product topology. Cylinder sets are particularly useful in providing the base of the natural topology of the product of a countable number of copies of a set. If V is a finite set, then each element of V can be represented by a letter, and the countable product can be represented by the collection of strings of letters.
Read more about Cylinder Set: General Definition, Definition For Infinite Products of Finite, Discrete Sets, Definition For Vector Spaces, Applications
Famous quotes containing the words cylinder and/or set:
“The outline of the city became frantic in its effort to explain something that defied meaning. Power seemed to have outgrown its servitude and to have asserted its freedom. The cylinder had exploded, and thrown great masses of stone and steam against the sky.”
—Henry Brooks Adams (1838–1918)
“He turns agen and drives the noisy crowd
And beats the dogs in noises loud.
He drives away and beats them every one,
And then they loose them all and set them on.
He falls as dead and kicked by boys and men,
Then starts and grins and drives the crowd agen;
Till kicked and torn and beaten out he lies
And leaves his hold and cackles, groans, and dies.”
—John Clare (1793–1864)