scaling law

A power law is any polynomial relationship that exhibits the property of scale invariance. The most common power laws relate two variables and have the form where and are constants, and is an asymptotically small function of . Here, is typically called the scaling exponent, denoting the fact that a power-law function (or, more generally, a th order homogeneous polynomial) satisfies the criteria where is a constant. That is, scaling the function's argument changes the constant of proportionality as a function of the scale change, but preserves the shape of the function itself. This relationship becomes more clear if we take the logarithm of both sides (or, graphically, plotting on a log-log graph)
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A mathematical relationship which permits the effects of a nuclear explosion of given energy yield to be determined as a function of distance from the explosion (or from ground zero) provided the corresponding effect is known as a function of distance for a reference explosion, e.g., of 1-kiloton energy yield. 1/11/68

Relation mathématique permettant de déterminer les effets d'une explosion nucléaire d'une puissance donnée en fonction de la distance au point d'explosion (ou du point zéro) à condition que l'on connaisse la valeur de ces effets en fonction de la distance pour une explosion de référence (par exemple: 1 kilotonne). 1/11/68

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