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  2. Divisibility rule - Wikipedia

    en.wikipedia.org/wiki/Divisibility_rule

    The basic rule for divisibility by 4 is that if the number formed by the last two digits in a number is divisible by 4, the original number is divisible by 4; [2] [3] this is because 100 is divisible by 4 and so adding hundreds, thousands, etc. is simply adding another number that is divisible by 4. If any number ends in a two digit number that ...

  3. Division by zero - Wikipedia

    en.wikipedia.org/wiki/Division_by_zero

    The reciprocal function y = ⁠ 1 / x ⁠. As x approaches zero from the right, y tends to positive infinity. As x approaches zero from the left, y tends to negative infinity. In mathematics, division by zero, division where the divisor (denominator) is zero, is a unique and problematic special case.

  4. Divisor - Wikipedia

    en.wikipedia.org/wiki/Divisor

    For example, there are six divisors of 4; they are 1, 2, 4, −1, −2, and −4, but only the positive ones (1, 2, and 4) would usually be mentioned. 1 and −1 divide (are divisors of) every integer. Every integer (and its negation) is a divisor of itself. Integers divisible by 2 are called even, and integers not divisible by 2 are called odd.

  5. Prophets of Deceit - Wikipedia

    en.wikipedia.org/wiki/Prophets_of_Deceit

    Prophets of Deceit (A Study of the Techniques of the American Agitator) is a 1949 book co-written by the German sociologist Leo Löwenthal and the Polish-Jewish scholar Norbert Guterman. The authors analyze and define media appeals specific to American pro- fascist and anti-Semite agitators of the 1940s, such as the application of psychosocial ...

  6. Long division - Wikipedia

    en.wikipedia.org/wiki/Long_division

    127 ÷ 4 = 31.75 124 30 (bring down 0; decimal to quotient) 28 (7 × 4 = 28) 20 (an additional zero is added) 20 (5 × 4 = 20) 0 In Mexico , the English-speaking world notation is used, except that only the result of the subtraction is annotated and the calculation is done mentally, as shown below:

  7. Riemann series theorem - Wikipedia

    en.wikipedia.org/wiki/Riemann_series_theorem

    In mathematics, the Riemann series theorem, also called the Riemann rearrangement theorem, named after 19th-century German mathematician Bernhard Riemann, says that if an infinite series of real numbers is conditionally convergent, then its terms can be arranged in a permutation so that the new series converges to an arbitrary real number, and rearranged such that the new series diverges.

  8. Pythagorean triple - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_triple

    Euclid's formula for Pythagorean triples and the inverse relationship t = y / (x + 1) mean that, except for (−1, 0), a point (x, y) on the circle is rational if and only if the corresponding value of t is a rational number. Note that t = y / (x + 1) = b / (a + c) = n / m is also the tangent of half of the angle that is opposite the triangle ...

  9. Divide and rule - Wikipedia

    en.wikipedia.org/wiki/Divide_and_rule

    Divide et impera is the third of three political maxims in Immanuel Kant's Perpetual Peace (1795), Appendix I, the others being Fac et excusa ("Act now, and make excuses later") and Si fecisti, nega ("If you commit a crime, deny it"): [4] Kant refers this tactic when describing the traits of a "political moralist."