ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Deduction system
Zermelo-Fraenkel set theory
Binary cartesian set product
Binary relation
Binary endorelation
Preordering relation
Partial ordering relation
Partially ordered set
Closed interval
Implicit interval partition
Implicit basic real interval partition
Closed real interval tagged partition
Stieltjes sum
Riemann sum
Riemann integrable real function
Real Riemann integral
Standard natural real logarithm function
Definition D5754
Standard real log-sum-exp function
Formulation 0
Let $\exp$ be the D1932: Standard natural real exponential function.
Let $\log$ be the D865: Standard natural real logarithm function.
The standard log-sum-exp function with respect to $N \in 1, 2, 3, \ldots$ is the D4364: Real function \begin{equation} \mathbb{R}^N \to \mathbb{R}, \quad (x_1, \ldots, x_N) \mapsto \log \sum_{n = 1}^N \exp(x_n) \end{equation}
Real log-sum-exp method
Translation property of the standard real log-sum-exp function