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  2. Modes of convergence - Wikipedia

    en.wikipedia.org/wiki/Modes_of_convergence

    The sequence of partial sums obtained by grouping is a subsequence of the partial sums of the original series. The convergence of each absolutely convergent series is an equivalent condition for a normed vector space to be Banach (i.e.: complete).

  3. Convergence tests - Wikipedia

    en.wikipedia.org/wiki/Convergence_tests

    In mathematics, convergence tests are methods of testing for the convergence, ... is a sequence of real- or complex-valued functions defined on a set A, ...

  4. Sequence - Wikipedia

    en.wikipedia.org/wiki/Sequence

    An infinite sequence of real numbers (in blue). This sequence is neither increasing, decreasing, convergent, nor Cauchy. It is, however, bounded. In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms).

  5. List of integer sequences - Wikipedia

    en.wikipedia.org/wiki/List_of_integer_sequences

    Recamán's sequence: 0, 1, 3, 6, 2, 7, 13, 20, 12, 21, 11, 22, 10, 23, 9, 24, 8, 25, 43, 62, ... "subtract if possible, otherwise add": a(0) = 0; for n > 0, a(n) = a(n − 1) − n if that number is positive and not already in the sequence, otherwise a(n) = a(n − 1) + n, whether or not that number is already in the sequence. A005132: Look-and ...

  6. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    The sequence of numbers involved is sometimes referred to as the hailstone sequence, hailstone numbers or hailstone numerals (because the values are usually subject to multiple descents and ascents like hailstones in a cloud), [5] or as wondrous numbers. [6] Paul Erdős said about the Collatz conjecture: "Mathematics may not be ready for such ...

  7. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    In mathematics, the Fibonacci sequence is a sequence in which each element is the sum of the two elements that precede it. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers , commonly denoted F n .

  8. Integer sequence - Wikipedia

    en.wikipedia.org/wiki/Integer_sequence

    The sequence 0, 3, 8, 15, ... is formed according to the formula n 2 − 1 for the nth term: an explicit definition. Alternatively, an integer sequence may be defined by a property which members of the sequence possess and other integers do not possess. For example, we can determine whether a given integer is a perfect number, (sequence A000396 ...

  9. Kindergarten readiness - Wikipedia

    en.wikipedia.org/wiki/Kindergarten_readiness

    The BSRA is a widely used kindergarten readiness test that measures a child's exposure to concepts that support learning at school. It contains five subtests assessing knowledge of colors, letters, numbers/counting, size/comparisons, and shapes. Unlike a questionnaire, the BSRA is structured as a set of tests to be completed with the child.

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