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 of, change and/or base:
“A sense of blessedness comes from a change of heart, not from more blessings.”
—Mason Cooley (b. 1927)
“How vigilant we are! determined not to live by faith if we can avoid it; all the day long on the alert, at night we unwillingly say our prayers and commit ourselves to uncertainties. So thoroughly and sincerely are we compelled to live, reverencing our life, and denying the possibility of change. This is the only way, we say; but there are as many ways as there can be drawn radii from one centre. All change is a miracle to contemplate; but it is a miracle which is taking place every instant.”
—Henry David Thoreau (1817–1862)
“Adolescence is a time when children are supposed to move away from parents who are holding firm and protective behind them. When the parents disconnect, the children have no base to move away from or return to. They aren’t ready to face the world alone. With divorce, adolescents feel abandoned, and they are outraged at that abandonment. They are angry at both parents for letting them down. Often they feel that their parents broke the rules and so now they can too.”
—Mary Pipher (20th century)