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  2. Quotient - Wikipedia

    en.wikipedia.org/wiki/Quotient

    In arithmetic, a quotient (from Latin: quotiens 'how many times', pronounced / ˈkwoʊʃənt /) is a quantity produced by the division of two numbers. [ 1] The quotient has widespread use throughout mathematics. It has two definitions: either the integer part of a division (in the case of Euclidean division) [ 2] or a fraction or ratio (in the ...

  3. Difference quotient - Wikipedia

    en.wikipedia.org/wiki/Difference_quotient

    The difference between two points, themselves, is known as their Delta (Δ P ), as is the difference in their function result, the particular notation being determined by the direction of formation: Backward difference: ∇F (P) = F (P) − F (P − ΔP). The general preference is the forward orientation, as F (P) is the base, to which ...

  4. Quotition and partition - Wikipedia

    en.wikipedia.org/wiki/Quotition_and_partition

    Quotition and partition. In arithmetic, quotition and partition are two ways of viewing fractions and division. In quotitive division one asks "how many parts are there?" while in partitive division one asks "what is the size of each part?" In general, a quotient where Q, N, and D are integers or rational numbers, can be conceived of in either ...

  5. Division (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Division_(mathematics)

    Division is one of the four basic operations of arithmetic. The other operations are addition, subtraction, and multiplication. What is being divided is called the dividend, which is divided by the divisor, and the result is called the quotient. At an elementary level the division of two natural numbers is, among other possible interpretations ...

  6. Quotient rule - Wikipedia

    en.wikipedia.org/wiki/Quotient_rule

    In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. [ 1][ 2][ 3] Let , where both f and g are differentiable and The quotient rule states that the derivative of h(x) is. It is provable in many ways by using other derivative rules .

  7. Even and odd functions - Wikipedia

    en.wikipedia.org/wiki/Even_and_odd_functions

    The cosine function and all of its Taylor polynomials are even functions. In mathematics, an even function is a real function such that for every in its domain. Similarly, an odd function is a function such that for every in its domain. They are named for the parity of the powers of the power functions which satisfy each condition: the function ...

  8. Quotient (universal algebra) - Wikipedia

    en.wikipedia.org/wiki/Quotient_(universal_algebra)

    Quotient (universal algebra) In mathematics, a quotient algebra is the result of partitioning the elements of an algebraic structure using a congruence relation . Quotient algebras are also called factor algebras. Here, the congruence relation must be an equivalence relation that is additionally compatible with all the operations of the algebra ...

  9. Ratio - Wikipedia

    en.wikipedia.org/wiki/Ratio

    In mathematics, a ratio ( / ˈreɪʃ ( i) oʊ /) shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of lemons to oranges is 6:8 (or 3:4) and the ...