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2. Formulas for generating Pythagorean triples - Wikipedia

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

   Michael Stifel published the following method in 1544. [3] [4] Consider the sequence of mixed numbers,,,, … with = + +.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 ).

3. Fraction - Wikipedia

   en.wikipedia.org/wiki/Fraction

   A mixed number (also called a mixed fraction or mixed numeral) is the sum of a non-zero integer and a proper fraction, conventionally written by juxtaposition (or concatenation) of the two parts, without the use of an intermediate plus (+) or minus (−) sign. When the fraction is written horizontally, a space is added between the integer and ...

4. Fractal - Wikipedia

   en.wikipedia.org/wiki/Fractal

   Sierpiński Carpet - Infinite perimeter and zero area Mandelbrot set at islands The Mandelbrot set: its boundary is a fractal curve with Hausdorff dimension 2. (Note that the colored sections of the image are not actually part of the Mandelbrot Set, but rather they are based on how quickly the function that produces it diverges.)

5. Arithmetico-geometric sequence - Wikipedia

   en.wikipedia.org/wiki/Arithmetico-geometric_sequence

   The elements of an arithmetico-geometric sequence () are the products of the elements of an arithmetic progression (in blue) with initial value and common difference , = + (), with the corresponding elements of a geometric progression (in green) with initial value and common ratio , =, so that [4]

6. Human nutrition - Wikipedia

   en.wikipedia.org/wiki/Human_nutrition

   The U.S. Food and Nutrition Board sets Tolerable Upper Intake Levels (known as ULs) for vitamins and minerals when evidence is sufficient. ULs are set a safe fraction below amounts shown to cause health problems. ULs are part of Dietary Reference Intakes. [85] The European Food Safety Authority also reviews the same safety questions and set its ...

7. High-level radioactive waste management - Wikipedia

   en.wikipedia.org/wiki/High-level_radioactive...

   Since the fraction of a radioisotope's atoms decaying per unit of time is inversely proportional to its half-life, the relative radioactivity of a quantity of buried human radioactive waste would diminish over time compared to natural radioisotopes; such as the decay chains of 120 million megatonnes (260 quadrillion pounds) of thorium and 40 ...