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  2. Hinge theorem - Wikipedia

    en.wikipedia.org/wiki/Hinge_theorem

    The hinge theorem holds in Euclidean spaces and more generally in simply connected non-positively curved space forms.. It can be also extended from plane Euclidean geometry to higher dimension Euclidean spaces (e.g., to tetrahedra and more generally to simplices), as has been done for orthocentric tetrahedra (i.e., tetrahedra in which altitudes are concurrent) [2] and more generally for ...

  3. List of inequalities - Wikipedia

    en.wikipedia.org/wiki/List_of_inequalities

    Lieb–Thirring inequality; Littlewood's 4/3 inequality; Markov brothers' inequality; Mashreghi–Ransford inequality; Max–min inequality; Minkowski's inequality; Poincaré inequality; Popoviciu's inequality; Prékopa–Leindler inequality; Rayleigh–Faber–Krahn inequality; Remez inequality; Riesz rearrangement inequality; Schur test ...

  4. Ptolemy's inequality - Wikipedia

    en.wikipedia.org/wiki/Ptolemy's_inequality

    For four points in order around a circle, Ptolemy's inequality becomes an equality, known as Ptolemy's theorem: ¯ ¯ + ¯ ¯ = ¯ ¯. In the inversion-based proof of Ptolemy's inequality, transforming four co-circular points by an inversion centered at one of them causes the other three to become collinear, so the triangle equality for these three points (from which Ptolemy's inequality may ...

  5. Give Your Hinge Matches Something to Respond to With These ...

    www.aol.com/95-hinge-prompt-answers-youll...

    The app allows you to display three Hinge prompt answers, with a myriad of options to choose from (including voice and video prompts!). These range from funny, to deep, to nerdy.

  6. 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.

  7. The 60 Best Hinge Prompts That Will Break the Ice in the ...

    www.aol.com/16-best-hinge-prompts-break...

    Hinge. The best way to truly succeed on a dating app is by being transparent. This is one of the best Hinge prompts because it allows you to give your potential suitor a little glimpse of what it ...

  8. 'Pendulum lifestyle' could be key to juggling daily challenges

    www.aol.com/pendulum-lifestyle-could-key...

    For those who are feeling “stuck" or overwhelmed while striving for work-life balance, some experts recommend adopting a “pendulum lifestyle." Psychologists weigh in on the potential benefits.

  9. Dying To Be Free - The Huffington Post

    projects.huffingtonpost.com/dying-to-be-free...

    The last image we have of Patrick Cagey is of his first moments as a free man. He has just walked out of a 30-day drug treatment center in Georgetown, Kentucky, dressed in gym clothes and carrying a Nike duffel bag.