The physical quantity ion mobility " K " is defined as the proportionality factor between an ion's drift velocity " v d " in a gas and an electric field of strength " E ".
12.
Therefore, temperature is NOT the average kinetic energy per particle, E / n; it's not even proportional to E / n because the " proportionality factor " would depend on how many degrees of freedom were available to the particles.
13.
The proportionality factor is generally a rational \ frac { p } { q } where q = \ gcd { ( a, b, c ) } reduces the generated Heronian triangle to its primitive and p scales up this primitive to the required size.
14.
The proportionality factor is generally a rational where " q " = gcd ( " a, b, c " ) reduces the generated Heronian triangle to its primitive and " p " scales up this primitive to the required size.
15.
The left hand side of the above equation, which is equal to the area " A " enclosed by the contour, is proportional to the distance measured by the measuring wheel, with proportionality factor " m ", the length of the measuring arm.
16.
Hence, if ?H?1 is proportional to ?H?2 by a given factor, and if ?S?1 and ?S?2 follow a similar law ( same proportionality factor ), the inequality ( 17 ) is broken ( equality instead, so T H equals to the water thermolysis temperature ).
17.
The obstacle for a computational use of Brahmagupta s parametric solution is the denominator " q " of the proportionality factor . " q " can only be determined by calculating the greatest common divisor of the three sides ( gcd ( " a, b, c " ) ) and introduces an element of unpredictability into the generation process.
18.
Suppose that certain outcomes are associated with three states of nature, so that " x " 3 is preferred over " x " 2 which in turn is preferred over " x " 1; this set of outcomes,, can be assumed to be a calculable money-prize in a controlled game of chance, unique up to one positive proportionality factor depending on the currency unit.
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