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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. 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]

  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. 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. Health Officials Investigating Possible Link Between Ozempic ...

    www.aol.com/health-officials-investigating...

    Health officials in Europe are investigating Ozempic and the trendy drug’s possible link to an eye-rotting condition that causes blindness. On Dec. 17, the European Medicines Agency announced ...

  7. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Structure theorem for finitely generated modules over a principal ideal domain (abstract algebra) Structure theorem for Gaussian measures (measure theory) Structured program theorem (computer science) Sturm's theorem (theory of equations) Sturm–Picone comparison theorem (differential equations) Subspace theorem (Diophantine approximation)

  8. What Gisele Pelicot's Case Can't Change - AOL

    www.aol.com/news/gisele-pelicots-case-cant...

    (Dominique Pelicot left a folder on his computer’s hard drive marked “abuse.”) For the vast majority of women, whose sexual assaults are less well-documented, coming forward and being public ...

  9. 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 ...