- the
exponential function can be
generalized to much
larger contexts such as
square matrices and Lie groups. Even further, the
differential equation definition...
- by the
following differential equation,
where N is the
quantity and λ (lambda) is a
positive rate
called the
exponential decay constant, disintegration...
- diffusion-limited reactions, in
which case the pre-
exponential factor is
dominant and is
directly observable. With this
equation it can be
roughly estimated that the...
-
Exponential growth is a
process that
increases quantity over time at an ever-increasing rate. It
occurs when the
instantaneous rate of
change (that is...
-
chemical kinetics, the pre-
exponential factor or A
factor is the pre-
exponential constant in the
Arrhenius equation (
equation shown below), an empirical...
-
linear Diophantine equation equates to a
constant the sum of two or more monomials, each of
degree one. An
exponential Diophantine equation is one in which...
-
solve systems of
linear differential equations. In the
theory of Lie groups, the
matrix exponential gives the
exponential map
between a
matrix Lie algebra...
- In
probability theory and statistics, the
exponential distribution or
negative exponential distribution is the
probability distribution of the distance...
- The
Shockley diode equation, or the
diode law,
named after transistor co-inventor
William Shockley of Bell Labs,
models the
exponential current–voltage (I–V)...
- In
applied mathematics, a
transcendental equation is an
equation over the real (or complex)
numbers that is not algebraic, that is, if at
least one of...
