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  2. Floor and ceiling functions - Wikipedia

    en.wikipedia.org/wiki/Floor_and_ceiling_functions

    At points of discontinuity, a Fourier series converges to a value that is the average of its limits on the left and the right, unlike the floor, ceiling and fractional part functions: for y fixed and x a multiple of y the Fourier series given converges to y/2, rather than to x mod y = 0. At points of continuity the series converges to the true ...

  3. Truncation - Wikipedia

    en.wikipedia.org/wiki/Truncation

    Truncation of positive real numbers can be done using the floor function. Given a number x ∈ R + {\displaystyle x\in \mathbb {R} _{+}} to be truncated and n ∈ N 0 {\displaystyle n\in \mathbb {N} _{0}} , the number of elements to be kept behind the decimal point, the truncated value of x is

  4. Python syntax and semantics - Wikipedia

    en.wikipedia.org/wiki/Python_syntax_and_semantics

    Python sets are very much like mathematical sets, and support operations like set intersection and union. Python also features a frozenset class for immutable sets, see Collection types. Dictionaries (class dict) are mutable mappings tying keys and corresponding values. Python has special syntax to create dictionaries ({key: value})

  5. Tupper's self-referential formula - Wikipedia

    en.wikipedia.org/wiki/Tupper's_self-referential...

    The value of is the number whose binary digits form the plot. The following plot demonstrates the addition of different k {\displaystyle k} values. In the fourth subplot, the k-value of "AFGP" and "Aesthetic Function Graph" is added to get the resultant graph, where both texts can be seen with some distortion due to the effects of binary addition.

  6. Buffon's needle problem - Wikipedia

    en.wikipedia.org/wiki/Buffon's_needle_problem

    A Python 3 based simulation using Matplotlib to sketch Buffon's needle experiment with the parameters t = 5.0, l = 2.6. Observe the calculated value of π (y-axis) approaching 3.14 as the number of tosses (x-axis) approaches infinity. In the first, simpler case above, the formula obtained for the probability P can be rearranged to

  7. Muslim In America - The Huffington Post

    projects.huffingtonpost.com/muslim-in-america?...

    The diversity of Muslims in the United States is vast, and so is the breadth of the Muslim American experience. The following animated videos depict the experiences of nine Muslim Americans from across the country who differ in heritage, age, gender and occupation.

  8. Integer square root - Wikipedia

    en.wikipedia.org/wiki/Integer_square_root

    /// Performs a Karatsuba square root on a `u64`. pub fn u64_isqrt (mut n: u64)-> u64 {if n <= u32:: MAX as u64 {// If `n` fits in a `u32`, let the `u32` function handle it. return u32_isqrt (n as u32) as u64;} else {// The normalization shift satisfies the Karatsuba square root // algorithm precondition "a₃ ≥ b/4" where a₃ is the most ...

  9. Big banks, business groups sue US Fed over annual stress tests

    www.aol.com/news/big-banks-planning-sue-us...

    (Reuters) -Major banks and business groups sued the Federal Reserve on Tuesday, alleging the U.S. central bank's annual "stress tests" of Wall Street firms violate the law. The lawsuit filed in U ...