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  2. Internal set theory - Wikipedia

    en.wikipedia.org/wiki/Internal_set_theory

    Internal set theory (IST) is a mathematical theory of sets developed by Edward Nelson that provides an axiomatic basis for a portion of the nonstandard analysis introduced by Abraham Robinson. Instead of adding new elements to the real numbers , Nelson's approach modifies the axiomatic foundations through syntactic enrichment.

  3. Fixed-point theorem - Wikipedia

    en.wikipedia.org/wiki/Fixed-point_theorem

    The Banach fixed-point theorem (1922) gives a general criterion guaranteeing that, if it is satisfied, the procedure of iterating a function yields a fixed point. [2]By contrast, the Brouwer fixed-point theorem (1911) is a non-constructive result: it says that any continuous function from the closed unit ball in n-dimensional Euclidean space to itself must have a fixed point, [3] but it doesn ...

  4. Edward Nelson - Wikipedia

    en.wikipedia.org/wiki/Edward_Nelson

    Edward Nelson (May 4, 1932 – September 10, 2014) was an American mathematician. He was professor in the Mathematics Department at Princeton University . He was known for his work on mathematical physics and mathematical logic .

  5. Elementary mathematics - Wikipedia

    en.wikipedia.org/wiki/Elementary_mathematics

    An example is the function that relates each real number x to its square x 2. The output of a function f corresponding to an input x is denoted by f(x) (read "f of x"). In this example, if the input is −3, then the output is 9, and we may write f(−3) = 9. The input variable(s) are sometimes referred to as the argument(s) of the function.

  6. Baublebar's sitewide Black Friday sale is one you can't miss ...

    www.aol.com/lifestyle/baublebars-sitewide-black...

    $27 $38 Save $11. Available in two sizes, these gold heart studs are perfect for everyday wear or as as statement piece, depending on which option you choose. $27 at Baublebar. Baublebar.

  7. The 10 best holiday candles to make your home smell merry and ...

    www.aol.com/lifestyle/best-holiday-candles-2024...

    The holiday candle set includes Sapin, which has notes of Siberian pine, resin, cedar, and patchouli; Friandise, which smells like gingerbread, cinnamon, candied orange peel, and vanilla; and ...

  8. List of unsolved problems in mathematics - Wikipedia

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

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  9. Investigators found 11 children working 'dangerous' overnight ...

    www.aol.com/investigators-found-11-children...

    A cleaning company has been fined $171,000 after federal investigators found 11 children working a "dangerous" overnight shift at a meat processing plant in Iowa. The U.S. Labor Department sa id ...