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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 ...
The theory was developed further by Frank E Bird in 1966 based on the analysis of 1.7 million accident reports from almost 300 companies. He produced an amended triangle that showed a relationship of one serious injury accident to 10 minor injury (first aid only) accidents, to 30 damage causing accidents, to 600 near misses.
When is separable the CAR algebra is an AF algebra and in the special case is infinite dimensional it is often written as (). [ 3 ] Let F a ( H ) {\displaystyle F_{a}(H)} be the antisymmetric Fock space over H {\displaystyle H} and let P a {\displaystyle P_{a}} be the orthogonal projection onto antisymmetric vectors:
The Elements (Ancient Greek: Στοιχεῖα Stoikheîa) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions.
A scientific thought experiment, in particular, may examine the implications of a theory, law, or set of principles with the aid of fictive and/or natural particulars (demons sorting molecules, cats whose lives hinge upon a radioactive disintegration, men in enclosed elevators) in an idealized environment (massless trapdoors, absence of friction).
A 9-1-1 crew member died in a car crash early Saturday morning after working a 14-hour overnight shift.According to The Hollywood Reporter, Rico Priem, a grip on the series, was involved in the ...
The pons asinorum in Oliver Byrne's edition of the Elements [1]. In geometry, the theorem that the angles opposite the equal sides of an isosceles triangle are themselves equal is known as the pons asinorum (/ ˈ p ɒ n z ˌ æ s ɪ ˈ n ɔːr ə m / PONZ ass-ih-NOR-əm), Latin for "bridge of asses", or more descriptively as the isosceles triangle theorem.
Math Girls (数学ガール, Sūgaku gāru) is the first in a series of math-themed young adult novels of the same name by Japanese author Hiroshi Yuki. It was published by SoftBank Creative in 2007, followed by Math Girls: Fermat's Last Theorem in 2008, Math Girls: Gödel's Incompleteness Theorems in 2009, and Math Girls: Randomized Algorithms in 2011.