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  2. Finagle's law - Wikipedia

    en.wikipedia.org/wiki/Finagle's_law

    [4] [5] Similar to Finagle's law is the verbless phrase of the German novelist Friedrich Theodor Vischer: "die Tücke des Objekts" (the perfidy of inanimate objects). A related concept, the "Finagle factor", is an ad hoc multiplicative or additive term in an equation, which can be justified only by the fact that it gives more correct results ...

  3. List of eponymous laws - Wikipedia

    en.wikipedia.org/wiki/List_of_eponymous_laws

    Hanlon's razor is a corollary of Finagle's law, named in allusion to Occam's razor, normally taking the form "Never attribute to malice that which can be adequately explained by stupidity." As with Finagle, possibly not strictly eponymous.

  4. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Laws_of_exponents

    When an exponent is a positive integer, that exponent indicates how many copies of the base are multiplied together. For example, 3 5 = 3 · 3 · 3 · 3 · 3 = 243. The base 3 appears 5 times in the multiplication, because the exponent is 5. Here, 243 is the 5th power of 3, or 3 raised to the 5th power.

  5. Exact solutions of classical central-force problems - Wikipedia

    en.wikipedia.org/wiki/Exact_solutions_of...

    In the classical central-force problem of classical mechanics, some potential energy functions () produce motions or orbits that can be expressed in terms of well-known functions, such as the trigonometric functions and elliptic functions.

  6. Descartes' rule of signs - Wikipedia

    en.wikipedia.org/wiki/Descartes'_rule_of_signs

    To find the number of negative roots, change the signs of the coefficients of the terms with odd exponents, i.e., apply Descartes' rule of signs to the polynomial = + + This polynomial has two sign changes, as the sequence of signs is (−, +, +, −) , meaning that this second polynomial has two or zero positive roots; thus the original ...

  7. Power rule - Wikipedia

    en.wikipedia.org/wiki/Power_rule

    2.2.3 Generalization to negative integer exponents. ... Applying laws of exponents, / = ... This page was last edited on 5 November 2024, ...

  8. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    When exponents were introduced in the 16th and 17th centuries, they were given precedence over both addition and multiplication and placed as a superscript to the right of their base. [2] Thus 3 + 5 2 = 28 and 3 × 5 2 = 75. These conventions exist to avoid notational ambiguity while allowing notation to remain brief. [4]

  9. Falling and rising factorials - Wikipedia

    en.wikipedia.org/wiki/Falling_and_rising_factorials

    The Pochhammer symbol, introduced by Leo August Pochhammer, is the notation (), where n is a non-negative integer. It may represent either the rising or the falling factorial, with different articles and authors using different conventions.