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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

    Erdős–Mordell inequality; Euler's theorem in geometry; Gromov's inequality for complex projective space; Gromov's systolic inequality for essential manifolds; Hadamard's inequality; Hadwiger–Finsler inequality; Hinge theorem; Hitchin–Thorpe inequality; Isoperimetric inequality; Jordan's inequality; Jung's theorem; Loewner's torus ...

  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. Social Security Fairness Act could restore benefits, but ...

    www.aol.com/social-security-fairness-act-could...

    For example, Michelle Cosgrove's benefits will be cut nearly in half — reduced by $557, to $601. Cosgrove spent the first half of her career as a paralegal, contributing to Social Security ...

  6. DHL plane crash in Lithuania likely due to technical issue ...

    www.aol.com/news/lithuania-leans-towards...

    VILNIUS (Reuters) -Lithuania has found no sign that the crash on Monday of a DHL cargo plane was caused by sabotage, and believes technical issues were a more likely explanation, officials said on ...

  7. Northern lights forecast: Auroras may be visible across US on ...

    www.aol.com/northern-lights-forecast-auroras-may...

    Now that the sun is at the height of its 11-year cycle, the increase in solar activity has more frequently fueled "space weather" that produces the right conditions for northern lights to flourish

  8. Hinge loss - Wikipedia

    en.wikipedia.org/wiki/Hinge_loss

    The plot shows that the Hinge loss penalizes predictions y < 1, corresponding to the notion of a margin in a support vector machine. In machine learning, the hinge loss is a loss function used for training classifiers. The hinge loss is used for "maximum-margin" classification, most notably for support vector machines (SVMs). [1]

  9. ‘Saturday Night’s Main Event’ Return Draws 2.3 Million ...

    www.aol.com/saturday-night-main-event-return...

    The return of WWE’s “Saturday Night’s Main Event” did well in the ratings for NBC. The two-hour broadcast pulled in 2.3 million viewers on Saturday night between 8 and 10 p.m. ET/PT.