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  2. Hinge theorem - Wikipedia

    en.wikipedia.org/wiki/Hinge_theorem

    In geometry, the hinge theorem (sometimes called the open mouth theorem) states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle. [1]

  3. NYT ‘Connections’ Hints and Answers Today, Saturday ... - AOL

    www.aol.com/nyt-connections-hints-answers-today...

    Get ready for all of today's NYT 'Connections’ hints and answers for #552 on Saturday, December 14, 2024. Today's NYT Connections puzzle for Saturday, December 14, 2024 The New York Times

  4. Satisfiability modulo theories - Wikipedia

    en.wikipedia.org/wiki/Satisfiability_modulo_theories

    In computer science and mathematical logic, satisfiability modulo theories (SMT) is the problem of determining whether a mathematical formula is satisfiable.It generalizes the Boolean satisfiability problem (SAT) to more complex formulas involving real numbers, integers, and/or various data structures such as lists, arrays, bit vectors, and strings.

  5. Category:Theorems about triangles - Wikipedia

    en.wikipedia.org/wiki/Category:Theorems_about...

    Triangle inequalities (8 P) Pages in category "Theorems about triangles" The following 29 pages are in this category, out of 29 total. ... Hinge theorem; J. Jacobi's ...

  6. Rearrangement inequality - Wikipedia

    en.wikipedia.org/wiki/Rearrangement_inequality

    Many important inequalities can be proved by the rearrangement inequality, such as the arithmetic mean – geometric mean inequality, the Cauchy–Schwarz inequality, and Chebyshev's sum inequality. As a simple example, consider real numbers : By applying with := for all =, …,, it follows that + + + + + + for every permutation of , …,.

  7. Top quarterback recruit Julian Lewis commits to Colorado

    www.aol.com/top-quarterback-recruit-julian-lewis...

    He recently reneged on his commitment to USC and picked the Buffaloes before the start of the early signing period for recruits on Dec. 4. Lewis made the announcement on the Pat McAfee Show.

  8. See you in the playoffs? Chiefs, Bills deserve an encore in ...

    www.aol.com/see-playoffs-chiefs-bills-deserve...

    The faceoffs between the Chiefs and Bills have become one of the highlights of the NFL schedule, and a playoff rematch could be ahead.

  9. List of inequalities - Wikipedia

    en.wikipedia.org/wiki/List_of_inequalities

    Kunita–Watanabe inequality; Le Cam's theorem; Lenglart's inequality; Marcinkiewicz–Zygmund inequality; Markov's inequality; McDiarmid's inequality; Paley–Zygmund inequality; Pinsker's inequality; Popoviciu's inequality on variances; Prophet inequality; Rao–Blackwell theorem; Ross's conjecture, a lower bound on the average waiting time ...