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  2. 1 + 2 + 3 + 4 + ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E...

    where f (2k−1) is the (2k − 1)th derivative of f and B 2k is the (2k)th Bernoulli number: B 2 = ⁠ 1 / 6 ⁠, B 4 = ⁠− + 1 / 30 ⁠, and so on. Setting f ( x ) = x , the first derivative of f is 1, and every other term vanishes, so [ 15 ]

  3. Addition - Wikipedia

    en.wikipedia.org/wiki/Addition

    3 + 2 = 5 with apples, a popular choice in textbooks [1]. Addition (usually signified by the plus symbol) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication, and division. [2]

  4. Plus and minus signs - Wikipedia

    en.wikipedia.org/wiki/Plus_and_minus_signs

    The plus sign (+) and the minus sign (−) are mathematical symbols used to denote positive and negative functions, respectively. In addition, + represents the operation of addition, which results in a sum, while − represents subtraction, resulting in a difference. [1] Their use has been extended to many other meanings, more or less analogous.

  5. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    For example, for 2 5 a + 1 there are 3 increases as 1 iterates to 2, 1, 2, 1, and finally to 2 so the result is 3 3 a + 2; for 2 2 a + 1 there is only 1 increase as 1 rises to 2 and falls to 1 so the result is 3a + 1. When b is 2 k − 1 then there will be k rises and the result will be 3 k a + 3 k − 1.

  6. Plus–minus sign - Wikipedia

    en.wikipedia.org/wiki/Plus–minus_sign

    The minus–plus sign, ... and specifying a value of +1 or −1 separately for each, or some appropriate relation, like s 3 = s 1 · (s 2) n or similar. ...

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  8. Principia Mathematica - Wikipedia

    en.wikipedia.org/wiki/Principia_Mathematica

    The new introduction defines "elementary propositions" as atomic and molecular positions together. It then replaces all the primitive propositions 1.2 to 1.72 with a single primitive proposition framed in terms of the stroke: "If p, q, r are elementary propositions, given p and p|(q|r), we can infer r. This is a primitive proposition."

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