Skip to content

Commit 189a78c

Browse files
committed
Mention (continuous => piecewise-linear) function
Add a reference describing the significant points for extrapolations on approximating continuous functions with piecewise linear functions.
1 parent 510bc0f commit 189a78c

1 file changed

Lines changed: 6 additions & 0 deletions

File tree

mef/stochastic_layer.rst

Lines changed: 6 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -720,6 +720,7 @@ Piecewise-Linear Distributions
720720
where the :math:`b_i`'s are bounds of successive, contiguous intervals
721721
such that :math:`b_i < b_{i+1}` for :math:`i = 0, \dots, n-1`,
722722
and the :math:`w_i`'s are non-negative weights of corresponding interval bounds :math:`b_i`.
723+
A piecewise-linear distribution can approximate a continuous distribution function [#HC94]_.
723724

724725
The distribution is defined by the following probability density function:
725726

@@ -748,6 +749,11 @@ Piecewise-Linear Distributions
748749
\sum_{i=1}^{n}(b_i - b_{i-1})[w_i(2b_i + b_{i-1}) + w_{i-1}(b_i + 2b_{i-1})]
749750
750751
752+
.. [#HC94] B. Hamann and J. L. Chen,
753+
"Data point selection for piecewise linear curve approximation,"
754+
Computer Aided Geometric Design, vol. 11, no. 3, pp. 289-301, 1994.
755+
756+
751757
XML Representation
752758
------------------
753759

0 commit comments

Comments
 (0)