Here it may be added that the “Instinct of Workmanship” in the animal
class, becomes in the time-binding class of life the instinct of
_creation_, and is nothing else than the expression of the natural impulse
of the “Time-binding” energy. In the present social and economic system
very few have a possibility to satisfy this instinct; scientific
management is or may be satisfying the animal instinct of workmanship, but
it is not satisfactory to the instinct of creation. “Time-binding” in its
last analysis is creation and only such a social and economic system as
will satisfy this want—this natural impulse—will satisfy Humans—the
“Time-binders”—and will bring about their fullest growth in work and
happiness.
“LAWS OF GROWTH” (from _Unified Mathematics_, by Louis C. Karpinski,
Ph.D.). “_Compound interest function_.—The function _S_ = _P_(1 + _i_)_n_
is of fundamental importance in other fields than in finance. Thus the
growth of timber of a large forest tract may be expressed as a function of
this kind, the assumption being that in a large tract the rate of growth
may be taken as uniform from year to year. In the case of bacteria growing
under ideal conditions in a culture, _i.e._ with unlimited food supplied,
the increase in the number of bacteria per second is proportional to the
number of bacteria present at the beginning of that second. Any function
in which the rate of change or rate of growth at any instant _t_ is
directly proportional to the value of the function at the instant _t_
obeys what has been termed the ‘law of organic growth,’ and may be
expressed by the equation,
_y = ce__kt_,
wherein _c_ and _k_ are constants determined by the physical facts
involved, and _e_ is a constant of nature analogous to π. The constant _k_
is the proportionality constant and is negative when the quantity in
question decreases; _c_ is commonly positive;
_e_ = 2.178....
“The values of the function of _x, ce__kx__, increase according to the
terms of a geometrical progression as the variable x increases in
arithmetical progression_....
“The most immediate application of a function in which the growth is
proportional to the function itself is to the air. The decrease in the
pressure of the air at the distance _h_ above the earth’s surface is
proportional to _h_.
“The expression _P = 760 e__-h/7990_ gives the numerical value of the
pressure in millimeters of mercury for _h_ measured in meters. The
negative exponent indicates that the pressure decreases as _h_ increases.
In inches as units of length of the mercury column, _h_ in feet,
_P = 29.92e__-h/26200_
This is known as Halley’s law.
Public-domain text, read in full here on John Shaqi.
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