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  2. Template:Calculus - Wikipedia

    en.wikipedia.org/wiki/Template:Calculus

    Download as PDF; Printable version; In other projects ... Volume integral; Jacobian; Hessian; ... Template:Calculus is used to give a brief outline of calculus topics ...

  3. Integral test for convergence - Wikipedia

    en.wikipedia.org/wiki/Integral_test_for_convergence

    Once such a sequence is found, a similar question can be asked with f(n) taking the role of 1/n, and so on. In this way it is possible to investigate the borderline between divergence and convergence of infinite series. Using the integral test for convergence, one can show (see below) that, for every natural number k, the series

  4. Squeeze theorem - Wikipedia

    en.wikipedia.org/wiki/Squeeze_theorem

    Illustration of the squeeze theorem When a sequence lies between two other converging sequences with the same limit, it also converges to this limit.. In calculus, the squeeze theorem (also known as the sandwich theorem, among other names [a]) is a theorem regarding the limit of a function that is bounded between two other functions.

  5. Ibragimov–Iosifescu conjecture for φ-mixing sequences

    en.wikipedia.org/wiki/Ibragimov–Iosifescu...

    M. Iosifescu, Limit theorems for ϕ-mixing sequences, a survey. In: Proceedings of the Fifth Conference on Probability Theory, Brașov, 1974, pp. 51-57. Publishing House of the Romanian Academy, Bucharest, 1977. Peligrad, Magda (August 1990). "On Ibragimov–Iosifescu conjecture for φ-mixing sequences". Stochastic Processes and their Applications.

  6. Convergence proof techniques - Wikipedia

    en.wikipedia.org/wiki/Convergence_proof_techniques

    Convergence proof techniques are canonical patterns of mathematical proofs that sequences or functions converge to a finite limit when the argument tends to infinity.. There are many types of sequences and modes of convergence, and different proof techniques may be more appropriate than others for proving each type of convergence of each type of sequence.

  7. Rate of convergence - Wikipedia

    en.wikipedia.org/wiki/Rate_of_convergence

    In asymptotic analysis in general, one sequence () that converges to a limit is said to asymptotically converge to with a faster order of convergence than another sequence () that converges to in a shared metric space with distance metric | |, such as the real numbers or complex numbers with the ordinary absolute difference metrics, if

  8. Minkowski inequality - Wikipedia

    en.wikipedia.org/wiki/Minkowski_inequality

    Mahler's inequality – inequality relating geometric mean of two finite sequences of positive numbers to the sum of each separate geometric mean Young's convolution inequality – Mathematical inequality about the convolution of two functions

  9. OpenStax - Wikipedia

    en.wikipedia.org/wiki/Openstax

    OpenStax textbooks follow a traditional peer review process aimed at ensuring they meet a high quality standard before publication. Textbooks are developed and peer-reviewed by educators in an attempt to ensure they are readable and accurate, meet the scope and sequence requirements of each course, are supported by instructor ancillaries, and are available with the latest technology-based ...

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