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10 hours ago · 3D visualization of a sphere and a rotation about an Euler axis (^) by an angle of In 3-dimensional space, according to Euler's rotation theorem, any rotation or sequence of rotations of a rigid body or coordinate system about a fixed point is equivalent to a single rotation by a given angle about a fixed axis (called the Euler axis) that runs through the fixed point.
10 hours ago · The n -sphere is the setting for n -dimensional spherical geometry . Considered extrinsically, as a hypersurface embedded in (n + 1) -dimensional Euclidean space, an n -sphere is the locus of points at equal distance (the radius) from a given center point. Its interior, consisting of all points closer to the center than the radius, is an (n + 1 ...
10 hours ago · We investigate a spherically symmetric exact solution of Einstein’s gravity with cosmological constant in (2 + 1) dimensions, non-minimally coupled to a scalar field. The solution describes the gravitational field of a black hole, which is free of curvature singularities in the entire spacetime. We use the formalism of geometrothermodynamics to investigate the geometric properties of the ...
10 hours ago · In this study, flow behavior in a meandering channel was investigated experimentally and numerically. The experiments were carried out for nine different cases on a channel consisting of 180° and 120° angle bends following successively. Measurements were conducted employing Acoustic Doppler Velocimetry (ADV) at 13 different points in the inner, middle, and outer bends of the sections located ...
10 hours ago · The coordinate system O-XY, the additional coordinate system O r-X r Y r, and the additional coordinate system O e-X e Y e are established with the center of the outer surface of the gear ring as ...
10 hours ago · Modernism was a cultural movement that impacted the arts as well as the broader zeitgeist. It is commonly described as a system of thought and behavior marked by self-consciousness or self-reference, prevalent within the avant-garde of various arts and disciplines. [13]
10 hours ago · Baruch ( de) Spinoza [b] (24 November 1632 – 21 February 1677), also known under his Latinized pen name Benedictus de Spinoza, was a Dutch philosopher of Portuguese-Jewish origin. As a forerunner of the Age of Enlightenment, Spinoza significantly influenced modern biblical criticism, 17th-century rationalism, and Dutch intellectual culture ...
