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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]
Hadwiger–Finsler inequality; Hinge theorem; Hitchin–Thorpe inequality; Isoperimetric inequality; Jordan's inequality; Jung's theorem; Loewner's torus inequality; Łojasiewicz inequality; Loomis–Whitney inequality; Melchior's inequality; Milman's reverse Brunn–Minkowski inequality; Milnor–Wood inequality; Minkowski's first inequality ...
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.
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
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 ...
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.
All Hinge prompts have a 150-character limit, so the idea is to have short, pithy answers that you can elaborate on later. And the word “elaborate” is key here.
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 ...