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The mobility formula for a single degree of freedom M = 3(n – 1) – 2j, where M is the degrees of freedom, n is the number of moving elements, and j is the number of joints, predicts that a Hoberman mechanism of 12 bars and 18 joints would have −3 degrees of freedom.
Create a circle centered at D and passing through E (the blue circle). Extend DA past A and find the intersection of DA and the circle DE, labeled F. Construct a circle centered at A and passing through F (the dotted green circle) Because ADB is an equilateral triangle, DA = DB. Because E and F are on a circle around D, DE = DF. Therefore, AF = BE.
Implosion is the collapse of an object into itself from a pressure differential or gravitational force. The opposite of explosion (which expands the volume), implosion reduces the volume occupied and concentrates matter and energy. Implosion involves a difference between internal (lower) and external (higher) pressure, or inward and outward ...
Gauss's circle problem asks how many points there are inside this circle of the form (,) where and are both integers. Since the equation of this circle is given in Cartesian coordinates by x 2 + y 2 = r 2 {\displaystyle x^{2}+y^{2}=r^{2}} , the question is equivalently asking how many pairs of integers m and n there are such that
For composite systems, the collapse on each constituent causes the collapse of the center of mass wave functions. Continuous spontaneous localization (CSL) model : [ 10 ] The Schrödinger equation is supplemented with a nonlinear and stochastic diffusion process driven by a suitably chosen universal noise coupled to the mass-density of the ...
A Hoberman Sphere at the National Museum of American History Second largest Hoberman sphere in the world, undergoing maintenance at Liberty Science Center. A Hoberman sphere is a kinetic structure patented by Chuck Hoberman that resembles a geodesic dome, but is capable of folding down to a fraction of its normal size by the scissor-like action of its joints.
This is Rodrigues' formula for the axis of a composite rotation defined in terms of the axes of the two component rotations. He derived this formula in 1840 (see page 408). [3] The three rotation axes A, B, and C form a spherical triangle and the dihedral angles between the planes formed by the sides of this triangle are defined by the rotation ...
Adding the mw-collapsible class to a table automatically positions the toggle, and selects which parts to collapse. A common use is to make a collapsible layout table, which always displays an introduction or summary, but hides the rest of the content from immediate view.