In mathematics, change of base can mean any of several things:
- Changing numeral bases, such as converting from base 2 (binary) to base 10 (decimal). This is known as base conversion.
- The logarithmic change-of-base formula, one of the logarithmic identities used frequently in algebra and calculus.
- The method for changing between polynomial and normal bases, and similar transformations, for purposes of coding theory and cryptography.
- Construction of a fibred product of schemes, in algebraic geometry.
Famous quotes containing the words change and/or base:
“I never knowed how clothes could change a body before. Why, before, he looked like the orneriest old rip that ever was; but now, when he’d take off his new white beaver and make a bow and do a smile, he looked that grand and good and pious that you’d say he had walked right out of the ark, and maybe was old Leviticus himself.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)
“And all the popular statesmen say
That purity built up the State
And after kept it from decay;
Admonish us to cling to that
And let all base ambition be,
For intellect would make us proud....”
—William Butler Yeats (1865–1939)