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Prandtl and von Kármán also discovered that the inertial layer’s mean velocity was a logarithmic function of the distance from the boundary.

The current through this ball coherer is, therefore, a logarithmic function of the potential difference between its ends, of the form and exhibits no discontinuity.

Each invention leads to new inventions and each discovery to new discoveries; invention breeds invention, science begets science, the children of knowledge produce their kind in larger and larger families; the process goes on from decade to decade, from generation to generation, and the spectacle we behold is that of advancement in scientific knowledge and technological power according to the law and rate of a rapidly increasing geometric progression or logarithmic function.