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V mn is called a V-statistic of degree m. A symmetric kernel of degree 2 is a function h ( x , y ), such that h ( x , y ) = h ( y , x ) for all x and y in the domain of h. For samples x 1 , ..., x n , the corresponding V-statistic is defined
Stated formally, in general, an equation of motion M is a function of the position r of the object, its velocity (the first time derivative of r, v = dr / dt ), and its acceleration (the second derivative of r, a = d 2 r / dt 2 ), and time t. Euclidean vectors in 3D are denoted throughout in bold.
Dimensionless numbers (or characteristic numbers) have an important role in analyzing the behavior of fluids and their flow as well as in other transport phenomena. [1] They include the Reynolds and the Mach numbers, which describe as ratios the relative magnitude of fluid and physical system characteristics, such as density, viscosity, speed of sound, and flow speed.
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Volume fraction (or "% v/v" or "vol.%"), volume concentration, for percent volume "Mass/volume percentage" (or "% m/v") in biology, for mass per unit volume; incorrectly used to denote mass concentration (chemistry). See usage in biology
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Thus it can be shown that, provided the exhaust velocity is fixed, this means that delta-v can be summed: When m 1, m 2 are the mass ratios of the maneuvers, and v 1, v 2 are the delta-v of the first and second maneuvers = / / = + = / = where V = v 1 + v 2 and M = m 1 m 2. This is just the rocket equation applied to the sum of the two maneuvers.
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