When.com Web Search

  1. Ad

    related to: lower and upper bounds of series calculator graph

Search results

  1. Results From The WOW.Com Content Network
  2. Ramsey's theorem - Wikipedia

    en.wikipedia.org/wiki/Ramsey's_theorem

    An upper bound for R(r, s) can be extracted from the proof of the theorem, and other arguments give lower bounds. (The first exponential lower bound was obtained by Paul Erdős using the probabilistic method.) However, there is a vast gap between the tightest lower bounds and the tightest upper bounds.

  3. Upper and lower bounds - Wikipedia

    en.wikipedia.org/wiki/Upper_and_lower_bounds

    The set S = {42} has 42 as both an upper bound and a lower bound; all other numbers are either an upper bound or a lower bound for that S. Every subset of the natural numbers has a lower bound since the natural numbers have a least element (0 or 1, depending on convention). An infinite subset of the natural numbers cannot be bounded from above.

  4. Interval arithmetic - Wikipedia

    en.wikipedia.org/wiki/Interval_arithmetic

    The main objective of interval arithmetic is to provide a simple way of calculating upper and lower bounds of a function's range in one or more variables. These endpoints are not necessarily the true supremum or infimum of a range since the precise calculation of those values can be difficult or impossible; the bounds only need to contain the function's range as a subset.

  5. Infimum and supremum - Wikipedia

    en.wikipedia.org/wiki/Infimum_and_supremum

    There is a corresponding greatest-lower-bound property; an ordered set possesses the greatest-lower-bound property if and only if it also possesses the least-upper-bound property; the least-upper-bound of the set of lower bounds of a set is the greatest-lower-bound, and the greatest-lower-bound of the set of upper bounds of a set is the least ...

  6. Rule of mixtures - Wikipedia

    en.wikipedia.org/wiki/Rule_of_mixtures

    The upper and lower bounds on the elastic modulus of a composite material, as predicted by the rule of mixtures. The actual elastic modulus lies between the curves. In materials science , a general rule of mixtures is a weighted mean used to predict various properties of a composite material .

  7. Limit inferior and limit superior - Wikipedia

    en.wikipedia.org/wiki/Limit_inferior_and_limit...

    Thus, the infimum or meet of a collection of subsets is the greatest lower bound while the supremum or join is the least upper bound. In this context, the inner limit, lim inf X n, is the largest meeting of tails of the sequence, and the outer limit, lim sup X n, is the smallest joining of tails of the sequence. The following makes this precise.

  8. Stirling's approximation - Wikipedia

    en.wikipedia.org/wiki/Stirling's_approximation

    Stirling's formula is in fact the first approximation to the following series (now called the Stirling series): [6]! (+ + +). An explicit formula for the coefficients in this series was given by G. Nemes. [ 7 ]

  9. Roth's theorem on arithmetic progressions - Wikipedia

    en.wikipedia.org/wiki/Roth's_Theorem_on...

    In 1953, Roth used Fourier analysis to prove an upper bound of ([]) = (⁡ ⁡). Below is a sketch of this proof. Below is a sketch of this proof. Define the Fourier transform of a function f : Z → C {\displaystyle f:\mathbb {Z} \rightarrow \mathbb {C} } to be the function f ^ {\displaystyle {\widehat {f}}} satisfying