infinite product in a sentence
Examples
- One way to see this is to construct an injection of the infinite product of N into the ultraproduct.
- Second, an infinite product is defined only so long as it converges to a non-zero value.
- The definition of finite Cartesian products can be seen as a special case of the definition for infinite products.
- Note that if the number of zeros is infinite one may have to define how to take the infinite product .)
- Unlike the finite case, an infinite product of well-orders is not necessarily well-ordered by the lexicographical order.
- These arise naturally when generalizing structures on finite sets to infinite sets, particularly on infinite products, as in the direct sum.
- :This can be easily obtained from the infinite product expansions listed under Lambiam 00 : 35, 23 March 2008 ( UTC)
- Also see Euler's infinite product definition below where the properties and together with the asymptotic requirement that uniquely define the same function.
- :The logarithmic derivative would seem to be the concept corresponding to the derivative for a function that is viewed as an infinite product.
- show that the infinite product converges precisely if the infinite sum of the " p " " n " converges.