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  2. Set (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Set_(mathematics)

    A set of polygons in an Euler diagram This set equals the one depicted above since both have the very same elements.. In mathematics, a set is a collection of different [1] things; [2] [3] [4] these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other ...

  3. List of set identities and relations - Wikipedia

    en.wikipedia.org/wiki/List_of_set_identities_and...

    In constructive mathematics, "not empty" and "inhabited" are not equivalent: every inhabited set is not empty but the converse is not always guaranteed; that is, in constructive mathematics, a set that is not empty (where by definition, "is empty" means that the statement () is true) might not have an inhabitant (which is an such that ).

  4. Well-defined expression - Wikipedia

    en.wikipedia.org/wiki/Well-defined_expression

    In mathematics, a well-defined expression or unambiguous expression is an expression whose definition assigns it a unique interpretation or value. Otherwise, the expression is said to be not well defined , ill defined or ambiguous . [ 1 ]

  5. Mathematical induction - Wikipedia

    en.wikipedia.org/wiki/Mathematical_induction

    Every set representing an ordinal number is well-founded, the set of natural numbers is one of them. Applied to a well-founded set, transfinite induction can be formulated as a single step. To prove that a statement P(n) holds for each ordinal number: Show, for each ordinal number n, that if P(m) holds for all m < n, then P(n) also holds.

  6. Can you solve this math problem meant for 14-year-olds?

    www.aol.com/news/2015-04-14-can-you-solve-this...

    This Test Question Meant for 14-Year-Olds Is Stumping Adults HARTFORD, Conn. (FOXCT) - Standardized testing in the United States has been quite a controversial topic in recent years.

  7. American ski racer Lindsey Vonn is picking up speed in her ...

    www.aol.com/american-ski-racer-lindsey-vonn...

    Word on the mountain has it that Lindsey Vonn is still fast through a downhill course, even at 40 years old. On a frigid Friday morning, Vonn darted through the shadows along the speed course at ...

  8. 'Large number' of Americans' metadata stolen by Chinese ...

    www.aol.com/news/large-number-americans-metadata...

    WASHINGTON (Reuters) -A large number of Americans' metadata has been stolen in the sweeping cyberespionage campaign carried out by a Chinese hacking group dubbed "Salt Typhoon," a senior U.S ...

  9. Discrete mathematics - Wikipedia

    en.wikipedia.org/wiki/Discrete_mathematics

    Set theory is the branch of mathematics that studies sets, which are collections of objects, such as {blue, white, red} or the (infinite) set of all prime numbers. Partially ordered sets and sets with other relations have applications in several areas. In discrete mathematics, countable sets (including finite sets) are the main focus

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