With today perhaps being the exception; throughout his life it always seemed to him, the exponential adulterer that he was, that carnal caprices should not at all be repudiated when they were all.
The inevitable outcome is an exponential explosion in computing and networking power.
Resolution of exponentialequations by means of logarithms.
Representation of cos x and sin x by imaginary exponential quantities.
It is employed in the resolution of algebraic equations, and in that of the exponential equation a^{x}=b.
An alternative method of developing the theory of the exponential function is to start from the definition exp x = 1 + x + x^2/2!
The exponential function, exp x, may be defined as the inverse of the logarithm: thus x = exp y if y = log x.
The definitions of the logarithmic and exponential functions may be extended to complex values of x.
The exponential function possesses the properties (i.
The exponential function, which may still be defined as the inverse of the logarithmic function, is, on the other hand, a uniform function of x, and its fundamental properties may be stated in the same form as for real values of x.
Exponential series, a series derived from the development of exponential equations or quantities.
Exponential curve, a curve whose nature is defined by means of anexponential equation.
Exponential functions are also periodic, having an imaginary period, and the elliptic functions have not only a real but an imaginary period, and are hence called doubly periodic.
Other transcendental functions are the exponential functions, the elliptic functions, the gamma functions, the theta functions, etc.
Exponential equation, an equation which contains an exponential quantity, or in which the unknown quantity enters as an exponent.
Or, if language in one of its illiterate embodiments cannot keep pace with theexponential growth of information, will it undergo a restructuring in order to become a parallel process?
The human scale and the altered underlying structure of our practical experiences affect drives, in particular the sexual drive, as well as reproduction, in a world subjected to a population explosion of exponential proportions.
Cognitive energy exchanged through networks and focused on cooperative endeavors is part of what lies ahead as we experience exponential growth on digital networks and fast learning curves of efficient handling of their potential.
Bach, the law which connects the elastic deformations with the efforts would be an exponential one.
The radioactivity of the emanation diminishes in accordance with anexponential law.
This total absence of our modern exponential notation in Oughtred's Clavis gives it a strange aspect.
There is much discussion in the leading treatises of the latter part of the sixteenth and the early part of the seventeenth century on the theory of indexes, but the modern exponential notation, a^n, is of later date.
Had Oughtred seen fit to adopt the new exponential notation in 1647, the step would have been epoch-making in the teaching of algebra in England.
To be sure, the first edition of the Clavis is dated 1631--six years before Descartes suggested the exponential notation which came to be adopted as the symbolism in our modern algebra.
Continuous Culture of Hydrogenomonas Bacteria Growth of hydrogen bacteria in a batch culture, after an initial period of adjustment, becomes steady and rapid during the exponential growth phase.
Smith, however, found that in chickens, food intake increased up to 36 percent over controls and has derived an exponential relation between food intake and acceleration.
Such classification needs a reflection: man is intrinsically an increasing exponential power and always produces two use-values—the potential and the kinetic.
We have seen that this time-binding power is an exponential power or function of time.
Nature made man an increasing exponential function of time, a time-binder, a power able to transform and direct basic powers.
We have found that man is an exponential function where time enters as an exponent.
The time-binding energies as well as “life” follow the same type of exponential function.
The supreme factor is the use of the mind—the exponential function of time—the time-binding energy of man.
The peculiar faculty belonging exclusively to humans which I designate as “time-binding” I have clearly defined as an exponential function of time in the following chapter.
It may seem strange but it is true that the time-binding exponential powers, called humans, do not die—their bodies die but their achievements live forever—a permanent source of power.
That the activity of the matter so formed decreases according to an exponential law with the time from the moment of its formation.
