As numerous approximations have been made, in addition to the approximate nature of these definitions, order-unity proportionality constants are often omitted (as in the above equations).
From this initial observation it is natural to expect that the proportionality constant should be the fraction of the time that the solution is concave during one cycle.
This empirical proportionality constant (in units of radians per tesla per meter) varies with wavelength and temperature and is tabulated for various materials.
Equal length of vectors of different dimension has no particular significance unless there is some proportionality constant inherent in the system that the diagram represents.
Every vibration does not necessarily lead to the formation of product, so a proportionality constant, referred to as the transmission coefficient, is introduced to account for this effect.
The proportionality constant is not really determined by the time slicing approach, only the ratio of values for different endpoint choices is determined.