aoi_lst_det.h File Reference

Laplace-Stieltjes transform of a deterministic (constant) distribution. More...

#include "line/api/aoi/aoi_types.h"
#include "line/num/number.h"

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Namespaces
namespace	line
namespace	line::aoi

Functions
template<class T>
Lst< T >	line::aoi::aoi_lst_det (const T &d)
	Laplace-Stieltjes transform of a deterministic (constant) distribution.

Detailed Description

Laplace-Stieltjes transform of a deterministic (constant) distribution.

Templated port of matlab/src/api/aoi/aoi_lst_det.m, cross-checked against Aoi_lst.det in jar/src/main/java/jline/api/aoi/Aoi_lst.java (identical).

H*(s) = exp(-s d)

static_assert(num_traits<T>::has_transcendental) – this is the one transform in the family that leaves the field. It is also the one that makes an M/D/1 or D/M/1 AoI inexact no matter how the surrounding algebra is done.

Definition in file aoi_lst_det.h.