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Hace 41 minutos · Therefore, in order to take into account the inertial characteristics of the rotational motion of the attached masses, the upper elastic membrane with a fictitiously small modulus of elasticity \(E=0.01\) MN/m \({}^{2}\) is introduced into the design model, which practically does not affect the stiffness characteristics of the system, but has a real mass equivalent to the mass of sandbags.
Hace 1 día · The relativistic Lagrangian can be derived in relativistic mechanics to be of the form: Although, unlike non-relativistic mechanics, the relativistic Lagrangian is not expressed as difference of kinetic energy with potential energy, the relativistic Hamiltonian corresponds to total energy in a similar manner but without including rest energy.
Hace 41 minutos · Let $$\\cal{K}$$ K be the smallest dimensional non-pointed basic Hopf algebra. We determine all finite-dimensional Nichols algebras in $${}^{\\cal{K}}_{\\cal{K}}\\cal{Y}\\cal{D}$$ and compute the liftings. The result shows that there are some new Nichols algebras of non-diagonal type and new finite-dimensional Hopf algebras without the dual Chevalley property.
Hace 1 día · Apollo 8 (December 21–27, 1968) was the first crewed spacecraft to leave Earth's gravitational sphere of influence, and the first human spaceflight to reach the Moon.The crew orbited the Moon ten times without landing, and then departed safely back to Earth. These three astronauts—Frank Borman, James Lovell, and William Anders—were the first humans to witness and photograph the far side ...
