Category:Definitions/Exponential Function
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This category contains definitions related to Exponential Function.
Related results can be found in Category:Exponential Function.
The exponential function can be defined as the unique particular solution $y = \map f z$ to the first order ODE:
- $\dfrac {\d y} {\d z} = y$
satisfying the initial condition $\map f 0 = 1$.
That is, the defining property of $\exp$ is that it is its own derivative.
Subcategories
This category has the following 6 subcategories, out of 6 total.
E
L
Pages in category "Definitions/Exponential Function"
The following 22 pages are in this category, out of 22 total.
E
- Definition:Exponential Curve
- Definition:Exponential Function
- Definition:Exponential Function/Complex
- Definition:Exponential Function/Complex/Differential Equation
- Definition:Exponential Function/Complex/Limit of Sequence
- Definition:Exponential Function/Complex/Power Series Expansion
- Definition:Exponential Function/Complex/Real Functions
- Definition:Exponential Function/Exponential Series
- Definition:Exponential Function/General
- Definition:Exponential Function/Notation
- Definition:Exponential Function/Real
- Definition:Exponential Function/Real/Differential Equation
- Definition:Exponential Function/Real/Extension of Rational Exponential
- Definition:Exponential Function/Real/Inverse of Natural Logarithm
- Definition:Exponential Function/Real/Limit of Sequence
- Definition:Exponential Function/Real/Power Series Expansion
- Definition:Exponential Growth
- Definition:Exponential Integral Function
- Definition:Exponential Series