**Quotients**

Because of the generality of the tensor algebra, many other algebras of interest can be constructed by starting with the tensor algebra and then imposing certain relations on the generators, i.e. by constructing certain quotient algebras of *T*(*V*). Examples of this are the exterior algebra, the symmetric algebra, Clifford algebras and universal enveloping algebras.

Read more about this topic: Tensor Algebra

### Other articles related to "quotients, quotient":

Differentiation Rules - Power Laws, Polynomials,

... Special cases If f(x) = xa, fâ˛(x) = axa â 1 when a is any real number and x is positive ... The reciprocal rule may be derived as the special case where g(x) = â1 ...

**Quotients**, and Reciprocals - Generalized Power Rule... Special cases If f(x) = xa, fâ˛(x) = axa â 1 when a is any real number and x is positive ... The reciprocal rule may be derived as the special case where g(x) = â1 ...

Logarithmic Differentiation - Applications -

... A natural logarithm is applied to a

**Quotients**... A natural logarithm is applied to a

**quotient**of two functions to transform the division into a subtraction Differentiate by applying the chain and the sum rules and, after rearranging, get ...Curiosity Quotient - Proposed Formula

... Friedman's claim is that Curiosity

... Friedman's claim is that Curiosity

**quotient**plus Passion**quotient**is greater than Intelligence**Quotient**... but there is no evidence to suggest that the sum of a person's curiosity and passion**quotients**will always exceed their IQ ... Indeed, given the ordinal nature of psychometric**quotients**, it is not clear whether it makes sense to add the curiosity and passion**quotients**or even if they can have numerical values attributed ...Lehmer's GCD Algorithm - Algorithm

... Lehmer noted that most of the

... Lehmer noted that most of the

**quotients**from each step of the division part of the standard algorithm are small ... (For example, Knuth observed that the**quotients**1, 2, and 3 comprise 67.7% of all**quotients**.) Those small**quotients**can be identified from only a few leading digits ... digits and computing the sequence of**quotients**as long as it is correct ...Main Site Subjects

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