Quotient

In mathematics, a quotient (from Latin: quotiens) is the result of division. For example, when dividing 6 by 3, the quotient is 2, while 6 is called the dividend, and 3 the divisor. The quotient further is expressed as the number of times the divisor divides into the dividend, e.g. 3 divides 2 times into 6. A quotient can also mean just the integer part of the result of dividing two integers. For example, the quotient of 13 and 5 would be 2 while the remainder would be 3. For more, see the Euclidean division.

In more abstract branches of mathematics, the word quotient is often used to describe sets, spaces, or algebraic structures whose elements are the equivalence classes of some equivalence relation on another set, space, or algebraic structure. See:

  • quotient set
  • quotient group
  • quotient ring
  • quotient module
  • quotient space (linear algebra)
  • quotient space of a topological space
  • quotient object
  • quotient category
  • right quotient and left quotient (operations on formal languages)

The quotient rule is a method for finding derivatives in calculus.

Read more about Quotient:  Other Meanings

Other articles related to "quotient, quotients":

Indistinguishability Quotient
... under the misère convention, finding the indistinguishability quotient of all the positions in a game opens the theoretical possibility of predicting the ... The indistinguishability quotient of a game is expressed as the product of a number of symbols ... Usually, the quotient of games is found bottom up, with quotients for subsequently larger positions found ...
Quotient - Other Meanings
... Quotients also come up in certain tests, like the IQ or SAT test, which stands for intelligence quotient ... been placed on full personal development, other similar quotients have appeared ... These include moral quotient, emotional quotient, adversity quotient, social quotient, creativity quotient, etc ...
Logrithm - Logarithmic Identities - Product, Quotient, Power, and Root
... The logarithm of a product is the sum of the logarithms of the numbers being multiplied the logarithm of the ratio of two numbers is the difference of the logarithms ... The logarithm of the p-th power of a number is p times the logarithm of the number itself the logarithm of a p-th root is the logarithm of the number divided by p ...
Maximal Semilattice Quotient
... In abstract algebra, a branch of mathematics, a maximal semilattice quotient is a commutative monoid derived from another commutative monoid by making certain elements ... relation is a monoid congruence of M, and the quotient monoid is the maximal semilattice quotient of M ...
Curiosity Quotient
... Curiosity quotient is a term put forth by author and journalist Thomas L ... whether or not they possess a particularly high intelligence quotient (IQ) ... The non-mathematical and fictitious formula is ] where CQ is "curiosity quotient" and PQ is "passion quotient." Thomas Friedman states that when curiosity is paired with ...