# exponential equation

## Definitions

• WordNet 3.6
• n exponential equation an equation involving exponential functions of a variable
• ***
Webster's Revised Unabridged Dictionary
• Exponential equation an equation which contains an exponential quantity, or in which the unknown quantity enters as an exponent.
• ***
Chambers's Twentieth Century Dictionary
• Exponential equation one in which the x or y occurs in the exponent of one or more terms, as 5x = 800
• ***

## Etymology

Chambers's Twentieth Century Dictionary
L. exponensex, out, ponĕre, to place.

## Usage

### In science:

This differential equation is solved by an exponential function, N (t) = N (0) exp(at), leading to extinction (a < 0) or unlimited growth (a > 0).
Social Effects in Simple Computer Model of Ageing
From this the reader should see that the exponential and operator notations allow us to express biquandle equation with a minimum of parentheses.
Bi-oriented Quantum Algebras, and a Generalized Alexander Polynomial for Virtual Links
Schr¨odinger equation are combinations of polynomials and complex exponentials in t.
Areal Theory
An argument along the lines used in the context of equation (19) could be constructed to show that maxt>0 W (t) is exponentially sure to be quite small, but as there are some technical complications, we take a simple, wasteful approach.
Random MAX SAT, Random MAX CUT, and Their Phase Transitions
Once this equation is obtained, one assumes that the kernels of these integro-differential equations decay at a suﬃciently high rate into the past (for example, exponentially, as kK (t, t′ )[M (t′ )]k ≤ exp{−(t − t′ )/τ }kM (t′ )k).
Geometry of irreversibility: The film of nonequilibrium states
***