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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    And because a negative divided by a negative produces a positive, ⁠ −1 / −2 ⁠ represents positive one-half. In mathematics a rational number is a number that can be represented by a fraction of the form ⁠ a / b ⁠ , where a and b are integers and b is not zero; the set of all rational numbers is commonly represented by the symbol Q ...

  3. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    For instance, the first counterexample must be odd because f(2n) = n, smaller than 2n; and it must be 3 mod 4 because f 2 (4n + 1) = 3n + 1, smaller than 4n + 1. For each starting value a which is not a counterexample to the Collatz conjecture, there is a k for which such an inequality holds, so checking the Collatz conjecture for one starting ...

  4. Negative number - Wikipedia

    en.wikipedia.org/wiki/Negative_number

    Since 2 × (−3) = −6, the product (−2) × (−3) must equal 6. These rules lead to another (equivalent) rule—the sign of any product a × b depends on the sign of a as follows: if a is positive, then the sign of a × b is the same as the sign of b, and; if a is negative, then the sign of a × b is the opposite of the sign of b.

  5. Sign (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Sign_(mathematics)

    Sign (mathematics) The plus and minus symbols are used to show the sign of a number. In mathematics, the sign of a real number is its property of being either positive, negative, or 0. Depending on local conventions, zero may be considered as having its own unique sign, having no sign, or having both positive and negative sign.

  6. Division by infinity - Wikipedia

    en.wikipedia.org/wiki/Division_by_infinity

    [3] [4]: 12 In floating-point arithmetic, any finite number divided by is equal to positive or negative zero if the numerator is finite. Otherwise, the result is NaN . The challenges of providing a rigorous meaning of "division by infinity" are analogous to those of defining division by zero .

  7. Negative base - Wikipedia

    en.wikipedia.org/wiki/Negative_base

    A negative base (or negative radix) may be used to construct a non-standard positional numeral system. Like other place-value systems, each position holds multiples of the appropriate power of the system's base; but that base is negative—that is to say, the base b is equal to −r for some natural number r ( r ≥ 2 ).

  8. −1 - Wikipedia

    en.wikipedia.org/wiki/%E2%88%921

    S&M: 0x101 16. 2sC: 0xFF 16. In mathematics, −1 ( negative one or minus one) is the additive inverse of 1, that is, the number that when added to 1 gives the additive identity element, 0. It is the negative integer greater than negative two (−2) and less than 0 .

  9. Positive and Negative Syndrome Scale - Wikipedia

    en.wikipedia.org/wiki/Positive_and_Negative...

    The Positive and Negative Syndrome Scale ( PANSS) is a medical scale used for measuring symptom severity of patients with schizophrenia. It was published in 1987 by Stanley Kay, Lewis Opler, and Abraham Fiszbein. It is widely used in the study of antipsychotic therapy. The scale is the "gold standard" for evaluating the effects of ...