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  2. Cynthia Y. Young - Wikipedia

    en.wikipedia.org/wiki/Cynthia_Y._Young

    Cynthia Yvonne Young (also published as Cynthia Y. Hopen) is an American applied mathematician, textbook author, and academic administrator.Her research has included mathematical modeling of the effects of atmospheric turbulence on electromagnetic radiation with applications to laser-based communication with satellites.

  3. Intermediate logic - Wikipedia

    en.wikipedia.org/wiki/Intermediate_logic

    Conversely, given an intermediate logic it is possible to construct its Lindenbaum–Tarski algebra, which is then a Heyting algebra. An intuitionistic Kripke frame F is a partially ordered set , and a Kripke model M is a Kripke frame with valuation such that { x ∣ M , x ⊩ p } {\displaystyle \{x\mid M,x\Vdash p\}} is an upper subset of F .

  4. Steinitz's theorem (field theory) - Wikipedia

    en.wikipedia.org/wiki/Steinitz's_theorem_(field...

    Conversely, if the number of intermediate fields between and is finite, we distinguish two cases: If K {\displaystyle K} is finite, then so is L {\displaystyle L} , and any primitive root of L {\displaystyle L} will generate the field extension.

  5. NP-intermediate - Wikipedia

    en.wikipedia.org/wiki/NP-intermediate

    In computational complexity, problems that are in the complexity class NP but are neither in the class P nor NP-complete are called NP-intermediate, and the class of such problems is called NPI. Ladner's theorem , shown in 1975 by Richard E. Ladner , [ 1 ] is a result asserting that, if P ≠ NP , then NPI is not empty; that is, NP contains ...

  6. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.

  7. Integrated mathematics - Wikipedia

    en.wikipedia.org/wiki/Integrated_mathematics

    Precalculus is the exception to the rule, as it usually integrates algebra, trigonometry, and geometry topics. Statistics may be integrated into all the courses or presented as a separate course. New York State began using integrated math curricula in the 1980s, [4] but recently returned to a traditional curriculum.

  8. Intermediate value theorem - Wikipedia

    en.wikipedia.org/wiki/Intermediate_value_theorem

    Intermediate value theorem: Let be a continuous function defined on [,] and let be a number with () < < ().Then there exists some between and such that () =.. In mathematical analysis, the intermediate value theorem states that if is a continuous function whose domain contains the interval [a, b], then it takes on any given value between () and () at some point within the interval.

  9. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    Unlike abstract algebra, elementary algebra is not concerned with algebraic structures outside the realm of real and complex numbers. It is typically taught to secondary school students and at introductory college level in the United States, [4] and builds on their understanding of arithmetic. The use of variables to denote quantities allows ...

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