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In mathematics, the moving sofa problem or sofa problem is a two-dimensional idealization of real-life furniture-moving problems and asks for the rigid two-dimensional shape of the largest area that can be maneuvered through an L-shaped planar region with legs of unit width. [ 1] The area thus obtained is referred to as the sofa constant.
The Regents Examinations are developed and administered by the New York State Education Department (NYSED) under the authority of the Board of Regents of the University of the State of New York. Regents exams are prepared by a conference of selected New York teachers of each test's specific discipline who assemble a test map that highlights the ...
Poincaré, Henri (2017). The three-body problem and the equations of dynamics: Poincaré's foundational work on dynamical systems theory. Translated by Popp, Bruce D. Cham, Switzerland: Springer International Publishing. ISBN 978-3-319-52898-4. 1892–99. New Methods of Celestial Mechanics, 3 vols. English trans., 1967. ISBN 1-56396-117-2. 1905.
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
General relativity. Tests of general relativity serve to establish observational evidence for the theory of general relativity. The first three tests, proposed by Albert Einstein in 1915, concerned the "anomalous" precession of the perihelion of Mercury, the bending of light in gravitational fields, and the gravitational redshift.
H. Hadwiger conjecture (combinatorial geometry) Heesch's problem. Hilbert–Smith conjecture. Hilbert's fifteenth problem. Hilbert's sixteenth problem. Hopf conjecture.
Course of MV ACX Crystal from 6/16/17 12:05 UTC to 6/17/17 3:00, showing presumptive point of collision with USS Fitzgerald at 16:30 UTC (1:30 a.m. Japan Time), south of Japanese mainland. Detail of the movements of ACX Crystal. In a report released on 1 November 2017 [ 8] the Navy describes Fitzgerald ' s course in the half-hour prior to the ...
Kinematics is a subfield of physics and mathematics, developed in classical mechanics, that describes the motion of points, bodies (objects), and systems of bodies (groups of objects) without considering the forces that cause them to move. [ 1][ 2][ 3] Kinematics, as a field of study, is often referred to as the "geometry of motion" and is ...