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  2. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    In the second step, they were divided by 3. The final result, ⁠ 4 / 3 ⁠, is an irreducible fraction because 4 and 3 have no common factors other than 1. The original fraction could have also been reduced in a single step by using the greatest common divisor of 90 and 120, which is 30. As 120 ÷ 30 = 4, and 90 ÷ 30 = 3, one gets

  3. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    Unit fractions can also be expressed using negative exponents, as in 2 −1, which represents 1/2, and 22, which represents 1/(2 2) or 1/4. A dyadic fraction is a common fraction in which the denominator is a power of two , e.g. ⁠ 1 / 8 ⁠ = ⁠ 1 / 2 3 ⁠ .

  4. 1 + 2 + 3 + 4 + ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E...

    The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc.The nth partial sum is given by a simple formula: = = (+). This equation was known ...

  5. Tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Tetrahedron

    The tetrahedron is the simplest of all the ordinary convex polyhedra. [1] ... This form has Coxeter diagram and Schläfli ... A 2, A 3 and A 4 denote the area of each ...

  6. Simple continued fraction - Wikipedia

    en.wikipedia.org/wiki/Simple_continued_fraction

    The simplest examples are the golden ratio φ = [1;1,1,1,1,1,...] and √ 2 = [1;2,2,2,2,...], while √ 14 = [3;1,2,1,6,1,2,1,6...] and √ 42 = [6;2,12,2,12,2,12...]. All irrational square roots of integers have a special form for the period; a symmetrical string, like the empty string (for √ 2 ) or 1,2,1 (for √ 14 ), followed by the ...

  7. NYT ‘Connections’ Hints and Answers Today, Tuesday, December 10

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

    3. To search for something. 4. These words can be found on a map (if you add a letter to the beginning). Related: 300 Trivia Questions and Answers to Jumpstart Your Fun Game Night.

  8. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    3.6.4.2 Kepler triangle. ... It is in fact the simplest form of a continued fraction, ... They do not form a ring of quadratic integers, ...

  9. Moral Injury: The Grunts - The Huffington Post

    projects.huffingtonpost.com/moral-injury/the...

    Almost 2 million men and women who served in Iraq or Afghanistan are flooding homeward, profoundly affected by war. Their experiences have been vivid. Dazzling in the ups, terrifying and depressing in the downs. The burning devotion of the small-unit brotherhood, the adrenaline rush of danger, the nagging fear and loneliness, the pride of service.