Proper velocity Proper velocity In relativity, proper velocity, also known as celerity, is an alternative to velocity for measuring motion. Whereas velocity relative to an observer is distance per unit time where both distance and time are measured by the observer, proper velocity relative to an observer divides observer-measured distance by the time elapsed on the clocks of the traveling object. Proper velocity equals velocity at low speeds. Proper velocity at high speeds, moreover, retains many of the properties that velocity loses in relativity compared with Newtonian theory. For example, proper velocity equals momentum per unit mass at any speed, and therefore
Smith–Minkowski–Siegel mass formula all the "p"-masses have their standard value, then the total mass is the standard mass where The values of the Riemann zeta function for an even integers "s" are given in terms of Bernoulli numbers by So the mass of "ƒ" is given as a finite product of rational numbers as If the form "f" has a p-adic Jordan decomposition where "q" runs through powers of "p" and "f" has determinant prime to "p" and dimension "n"("q"), then the "p"-mass is given by Here "n"(II) is the sum of the dimensions of all Jordan components of type 2 and "p"