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  2. Formulas for generating Pythagorean triples - Wikipedia

    en.wikipedia.org/wiki/Formulas_for_generating...

    To calculate a Pythagorean triple, take any term of this sequence and convert it to an improper fraction (for mixed number , the corresponding improper fraction is ). Then its numerator and denominator are the sides, b and a, of a right triangle, and the hypotenuse is b + 1. For example:

  3. Factorial number system - Wikipedia

    en.wikipedia.org/wiki/Factorial_number_system

    The factorial number system is a mixed radix numeral system: the i-th digit from the right has base i, which means that the digit must be strictly less than i, and that (taking into account the bases of the less significant digits) its value is to be multiplied by (i − 1)! (its place value).

  4. Mixed radix - Wikipedia

    en.wikipedia.org/wiki/Mixed_radix

    Mixed-radix numbers of the same base can be manipulated using a generalization of manual arithmetic algorithms. Conversion of values from one mixed base to another is easily accomplished by first converting the place values of the one system into the other, and then applying the digits from the one system against these.

  5. Fixed-point arithmetic - Wikipedia

    en.wikipedia.org/wiki/Fixed-point_arithmetic

    A fixed-point representation of a fractional number is essentially an integer that is to be implicitly multiplied by a fixed scaling factor. For example, the value 1.23 can be stored in a variable as the integer value 1230 with implicit scaling factor of 1/1000 (meaning that the last 3 decimal digits are implicitly assumed to be a decimal fraction), and the value 1 230 000 can be represented ...

  6. Fractional part - Wikipedia

    en.wikipedia.org/wiki/Fractional_part

    Graph of the fractional part of real numbers. The fractional part or decimal part [1] of a non‐negative real number is the excess beyond that number's integer part.The latter is defined as the largest integer not greater than x, called floor of x or ⌊ ⌋.

  7. Methods of computing square roots - Wikipedia

    en.wikipedia.org/wiki/Methods_of_computing...

    k is a decimal digit and R is a fraction that must be converted to decimal. It usually has only a single digit in the numerator, and one or two digits in the denominator, so the conversion to decimal can be done mentally. Example: find the square root of 75. 75 = 75 × 10 2 · 0, so a is 75 and n is 0.

  8. NYT ‘Connections’ Hints and Answers Today, Friday, December 13

    www.aol.com/nyt-connections-hints-answers-today...

    If you've been having trouble with any of the connections or words in Friday's puzzle, you're not alone and these hints should definitely help you out. Plus, I'll reveal the answers further down ...

  9. Partial fractions in complex analysis - Wikipedia

    en.wikipedia.org/wiki/Partial_fractions_in...

    In complex analysis, a partial fraction expansion is a way of writing a meromorphic function as an infinite sum of rational functions and polynomials. When f ( z ) {\displaystyle f(z)} is a rational function, this reduces to the usual method of partial fractions .