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  2. Triangular number - Wikipedia

    en.wikipedia.org/wiki/Triangular_number

    The final digit of a triangular number is 0, 1, 3, 5, 6, or 8, and thus such numbers never end in 2, 4, 7, or 9. A final 3 must be preceded by a 0 or 5; a final 8 must be preceded by a 2 or 7. In base 10, the digital root of a nonzero triangular number is always 1, 3, 6, or 9. Hence, every triangular number is either divisible by three or has a ...

  3. Simpson's rule - Wikipedia

    en.wikipedia.org/wiki/Simpson's_rule

    Application of the second rule to the region of 3 points generates 1/3 Simpson's rule, 4 points - 3/8 rule. These rules are very much similar to the alternative extended Simpson's rule. The coefficients within the major part of the region being integrated are one with non-unit coefficients only at the edges.

  4. Number Forms - Wikipedia

    en.wikipedia.org/wiki/Number_Forms

    35: 0.6 Vulgar Fraction Three Fifths 2157 8535 ⅘ 4 ⁄ 5: 0.8 Vulgar Fraction Four Fifths 2158 8536 ⅙ 1 ⁄ 6: 0.166... Vulgar Fraction One Sixth 2159 8537 ⅚ 56: 0.833... Vulgar Fraction Five Sixths 215A 8538 ⅛ 1 ⁄ 8: 0.125 Vulgar Fraction One Eighth 215B 8539 ⅜ 38: 0.375 Vulgar Fraction Three Eighths 215C 8540 ⅝ 5 ...

  5. Multiplication sign - Wikipedia

    en.wikipedia.org/wiki/Multiplication_sign

    The lower-case Latin letter x is sometimes used in place of the multiplication sign. This is considered incorrect in mathematical writing. This is considered incorrect in mathematical writing. In algebraic notation, widely used in mathematics, a multiplication symbol is usually omitted wherever it would not cause confusion: " a multiplied by b ...

  6. Tic-tac-toe - Wikipedia

    en.wikipedia.org/wiki/Tic-tac-toe

    When X plays 1 as their opening move, then O should take 5. Then X takes 9 (in this situation, O should not take 3 or 7, O should take 2, 4, 6 or 8): X1 → O5 → X9 → O2 → X8 → O7 → X3 → O6 → X4, this game will be a draw. or 6 (in this situation, O should not take 4 or 7, O should take 2, 3, 8 or 9.

  7. Pfister's sixteen-square identity - Wikipedia

    en.wikipedia.org/wiki/Pfister's_sixteen-square...

    with the bilinear functions of the and is possible only for n ∈ {1, 2, 4, 8} . However, the more general Pfister's theorem (1965) shows that if the z i {\displaystyle z_{i}} are rational functions of one set of variables, hence has a denominator , then it is possible for all n = 2 m {\displaystyle n=2^{m}} . [ 3 ]

  8. List of Big 12 Conference football standings - Wikipedia

    en.wikipedia.org/wiki/List_of_Big_12_Conference...

    3 No. 8 Nebraska x 6 – 2 10 – 2 No. 25 Iowa State 53 9 – 3 Colorado 35 38 Kansas 2 – 6 4 – 7 Missouri 2 – 6 38 South Division No. 1 Oklahoma x$# 8 – 0 13 – 0 No. 12 Texas 7 – 1 9 – 3 Texas A&M 53 7 – 5 Texas Tech 35 7 – 6 Oklahoma State 1 – 7 38 Baylor 0 – 8 2 – 9

  9. 3 - Wikipedia

    en.wikipedia.org/wiki/3

    When doing quick estimates, 3 is a rough approximation of π, 3.1415..., and a very rough approximation of e, 2.71828... 3 is the first Mersenne prime , as well as the second Mersenne prime exponent and the second double Mersenne prime exponent , for 7 and 127 , respectively. 3 is also the first of five known Fermat primes , which include 5, 17 ...