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  2. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    Graphs of y = b x for various bases b: base 10, base e, base 2, base ⁠ 1 / 2 ⁠. Each curve passes through the point (0, 1) because any nonzero number raised to the power of 0 is 1 . At x = 1 , the value of y equals the base because any number raised to the power of 1 is the number itself.

  3. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    [11] At the end of the 19th century, the foundational crisis in mathematics and the resulting systematization of the axiomatic method led to an explosion of new areas of mathematics. [12] [6] The 2020 Mathematics Subject Classification contains no less than sixty-three first-level areas. [13]

  4. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    6 [6] Clay Mathematics Institute: 2000 Simon problems: 15 <12 [7] [8] Barry Simon: 2000 Unsolved Problems on Mathematics for the 21st Century [9] 22-Jair Minoro Abe, Shotaro Tanaka: 2001 DARPA's math challenges [10] [11] 23-DARPA: 2007 Erdős's problems [12] >893: 603: Paul Erdős: Over six decades of Erdős' career, from the 1930s to 1990s

  5. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    A bijection with the sums to n is to replace 1 with 0 and 2 with 11. The number of binary strings of length n without an even number of consecutive 0 s or 1 s is 2 F n . For example, out of the 16 binary strings of length 4, there are 2 F 4 = 6 without an even number of consecutive 0 s or 1 s—they are 0001, 0111, 0101, 1000, 1010, 1110.

  6. Relative change - Wikipedia

    en.wikipedia.org/wiki/Relative_change

    A percentage change is a way to express a change in a variable. It represents the relative change between the old value and the new one. [6]For example, if a house is worth $100,000 today and the year after its value goes up to $110,000, the percentage change of its value can be expressed as = = %.

  7. Chess - Wikipedia

    en.wikipedia.org/wiki/Chess

    The number of legal positions in chess is estimated to be 4.59 ± 0.38 × 10 44 with a 95% confidence level, [141] with a game-tree complexity of approximately 10 123. The game-tree complexity of chess was first calculated by Claude Shannon as 10 120 , a number known as the Shannon number . [ 142 ]

  8. List of mental disorders in the DSM-IV and DSM-IV-TR

    en.wikipedia.org/wiki/List_of_mental_disorders...

    This is a list of mental disorders as defined in the DSM-IV, the fourth edition of the Diagnostic and Statistical Manual of Mental Disorders.Published by the American Psychiatry Association (APA), it was released in May 1994, [1] superseding the DSM-III-R (1987).

  9. Isaiah 11 - Wikipedia

    en.wikipedia.org/wiki/Isaiah_11

    Isaiah 11 is the eleventh chapter of the Book of Isaiah in the Hebrew Bible or the Old Testament of the Christian Bible. This book contains prophesies attributed to the prophet Isaiah . This chapter can be divided into two main parts, verses 1–9 and verses 11–16, with verse 10 as a connecting statement between them. [ 1 ]