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    • https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Dourmashkin)/27%3A_Static_Fluids/27.02%3A_Density
      The density of a small amount of matter is defined to be the amount of mass ΔM by the volume ΔV of that element of matter.
    • https://phys.libretexts.org/Bookshelves/Nuclear_and_Particle_Physics/Introduction_to_Applied_Nuclear_Physics_(Cappellaro)/05%3A_Nuclear_Structure
    • https://phys.libretexts.org/Bookshelves/Mathematical_Physics_and_Pedagogy/Book%3A_Applied_Geometric_Algebra_(Tisza)/03%3A_The_Lorentz_Group_and_the_Pauli_Algebra/3.04%3A_The_Pauli_Algebra
      Whereas the two-valuedness of the \(\mathcal{S U}(2)\) representation does not affect the transformation of the A vector based on the bilateral expression \ref{75}, the situation will be seen to be di...Whereas the two-valuedness of the \(\mathcal{S U}(2)\) representation does not affect the transformation of the A vector based on the bilateral expression \ref{75}, the situation will be seen to be different in the spinorial theory based on Equation \ref{62}, since under certain conditions the sign of the spinor \(|\xi\rangle\) is physically meaningful.
    • https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Dourmashkin)/12%3A_Momentum_and_the_Flow_of_Mass
    • https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Dourmashkin)/27%3A_Static_Fluids
    • https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Dourmashkin)/16%3A_Two_Dimensional_Rotational_Kinematics/16.01%3A_Introduction
      The form for the rotation curves implies that the mass is not centrally condensed, but that significant mass is located at large R. The mass is not converging to a limiting mass at the edge of the opt...The form for the rotation curves implies that the mass is not centrally condensed, but that significant mass is located at large R. The mass is not converging to a limiting mass at the edge of the optical image. In some systems the constituent particles are very loosely bound to each other as in fluids and gasses, and the distances between the constituent particles will vary.
    • https://phys.libretexts.org/Bookshelves/Mathematical_Physics_and_Pedagogy/Book%3A_Applied_Geometric_Algebra_(Tisza)/02%3A_Algebraic_Preliminaries/2.02%3A_The_geometry_of_the_three-dimensional_rotation_group._The_Rodrigues-Hamilton_theorem
      The standard notation for the proper rotation group is \(\mathcal{O}^{+}, \text {or } \mathcal{S O}(3)\) short for “simple orthogonal group in three dimensions”. “Simple” means that the determinant of...The standard notation for the proper rotation group is \(\mathcal{O}^{+}, \text {or } \mathcal{S O}(3)\) short for “simple orthogonal group in three dimensions”. “Simple” means that the determinant of the transformation is \(+1\), we have proper rotations with the exclusion of the inversion of the coordinates:
    • https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Dourmashkin)/29%3A_Kinetic_Theory_of_Gases/29.02%3A_Temperature_and_Thermal_Equilibrium
      The volume of the gas is kept constant by raising or lowering the mercury reservoir so that the mercury level on the left arm in Figure 29.1 just reaches the point I . When the bulb is placed in therm...The volume of the gas is kept constant by raising or lowering the mercury reservoir so that the mercury level on the left arm in Figure 29.1 just reaches the point I . When the bulb is placed in thermal equilibrium with a system whose temperature is to be measured, the difference in height between the mercury levels in the left and right arms is measured.
    • https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Dourmashkin)/19%3A_Angular_Momentum/19.08%3A_Principle_of_Conservation_of_Angular_Momentum
      Principle of Conservation of Angular Momentum argues that if the external torque acting on a system is zero, then the angular momentum of the system is constant. So for any change of state of the syst...Principle of Conservation of Angular Momentum argues that if the external torque acting on a system is zero, then the angular momentum of the system is constant. So for any change of state of the system the change in angular momentum is zero
    • https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Dourmashkin)/10%3A_Momentum_System_of_Particles_and_Conservation_of_Momentum/10.03%3A_External_and_Internal_Forces_and_the_Change_in_Momentum_of_a_System
      For example, if we analyze in detail the forces acting on the cart rolling down the inclined plane (Figure 10.4), we determine that there are three forces acting on the cart: the force \(\overrightarr...For example, if we analyze in detail the forces acting on the cart rolling down the inclined plane (Figure 10.4), we determine that there are three forces acting on the cart: the force \(\overrightarrow{\mathbf{F}}_{\mathrm{spring, cart}}\) the spring applies to the cart; the gravitational interaction \(\overrightarrow{\mathbf{F}}_{\mathrm{earth, cart}}\) between the cart and the earth; and the contact force \(\overrightarrow{\mathbf{F}}_{\mathrm{plane, cart}}\) between the inclined plane and t…
    • https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_and_Applications_(Staelin)/10%3A_Antennas_and_Radiation
      Thumbnail: Animation of a half-wave dipole antenna transmitting radio waves, showing the electric field lines. (Public Domain; Chetvorno via Wikipedia)

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