- mathematics, the
exponential function is the
unique real
function which maps zero to one and has a
derivative equal to its value. The
exponential of a variable...
- by the
following differential equation,
where N is the
quantity and λ (lambda) is a
positive rate
called the
exponential decay constant, disintegration...
-
Exponential growth occurs when a
quantity grows at a rate
directly proportional to its
present size. For example, when it is 3
times as big as it is now...
-
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...
-
Eyring equation,
developed in 1935, also
expresses the
relationship between rate and energy. The
Arrhenius equation describes the
exponential dependence...
-
differential equation is a
differential equation that is
defined by a
linear polynomial in the
unknown function and its derivatives, that is an
equation of the...
-
solve systems of
linear differential equations. In the
theory of Lie groups, the
matrix exponential gives the
exponential map
between a
matrix Lie algebra...
-
usually more
stable for
solving a
stiff equation,
meaning that a
larger step size h can be used.
Exponential integrators describe a
large class of integrators...
-
chemical kinetics, the pre-
exponential factor or A
factor is the pre-
exponential constant in the
Arrhenius equation (
equation shown below), an empirical...
-
exponential, also
called the path-ordered
exponential, is a
mathematical operation defined in non-commutative algebras,
equivalent to the
exponential...
