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  2. Pure mathematics - Wikipedia

    en.wikipedia.org/wiki/Pure_mathematics

    Pure mathematics studies the properties and structure of abstract objects, [1] such as the E8 group, in group theory. This may be done without focusing on concrete applications of the concepts in the physical world. Pure mathematics is the study of mathematical concepts independently of any application outside mathematics. These concepts may ...

  3. Mathematical practice - Wikipedia

    en.wikipedia.org/wiki/Mathematical_practice

    The axiomatic method of Euclid's Elements was influential in the development of Western science. [1]Mathematical practice comprises the working practices of professional mathematicians: selecting theorems to prove, using informal notations to persuade themselves and others that various steps in the final proof are convincing, and seeking peer review and publication, as opposed to the end ...

  4. Basic research - Wikipedia

    en.wikipedia.org/wiki/Basic_research

    Basic research advances fundamental knowledge about the world. It focuses on creating and refuting or supporting theories that explain observed phenomena. Pure research is the source of most new scientific ideas and ways of thinking about the world. It can be exploratory, descriptive, or explanatory; however, explanatory research is the most ...

  5. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    In the present day, the distinction between pure and applied mathematics is more a question of personal research aim of mathematicians than a division of mathematics into broad areas. [124] [125] The Mathematics Subject Classification has a section for "general applied mathematics" but does not mention "pure mathematics". [14]

  6. Number theory - Wikipedia

    en.wikipedia.org/wiki/Number_theory

    Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions.German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."

  7. 10 Hard Math Problems That Even the Smartest People in the ...

    www.aol.com/10-hard-math-problems-even-150000090...

    Some math problems have been challenging us for centuries, and while brain-busters like these hard math problems may seem impossible, someone is bound to solve ’em eventually. Well, m aybe .

  8. Mathematical beauty - Wikipedia

    en.wikipedia.org/wiki/Mathematical_beauty

    Mathematics, rightly viewed, possesses not only truth, but supreme beauty—a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show.

  9. Jamie Foxx Makes Joke About Sean 'Diddy' Combs' Parties ... - AOL

    www.aol.com/jamie-foxx-makes-joke-sean-150017306...

    Foxx said "something don't look right" as he spoke about Combs' parties and addressed conspiracies about his medical emergency, including some people alleging that Combs "was trying to kill me"