File:Exponential function showing time constant.svg

Summary

Description
English: Graph of a decaying exponential function reaching 37% of its original value A after reaching the time constant τ. The exact units aren't given on the axis, although the graph is plotted using A=1 and τ=1.
Date
Source Designed to replace original bitmap version http://en.wikipedia.org/wiki/Image:Exponential_function_showing_time_constant.jpg
Author Qef
Other versions http://en.wikipedia.org/wiki/Image:Exponential_function_showing_time_constant.jpg

Source code

This graph was created with gnuplot using the following input file:

set terminal svg font "Bitstream Vera Sans,18"
set output "Exponential_function_showing_time_constant.svg"

set xrange [0:7]
set yrange [0:1]
set xzeroaxis linetype -1
set yzeroaxis linetype -1
set xtics axis nomirror offset 0,0.3  (0, "τ" 1, "5τ" 5)
set ytics axis nomirror offset -0.8,0 (0, "≈0.37A" 0.37, "A" 1)
set key off
set border 0
set lmargin 10
set rmargin 1.5

set object 1 rectangle from 0, 0 to 1, 0.37 \
    back fs solid 0 linewidth 1

plot exp(x/-1) with line linetype rgbcolor "red" linewidth 2

Licensing

Public domain This work has been released into the public domain by its author, Qef. This applies worldwide.

In some countries this may not be legally possible; if so:
Qef grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Category:PD-user#Exponential%20function%20showing%20time%20constant.svg Category:Control engineering Category:Images with Gnuplot source code
Category:Control engineering Category:Images with Gnuplot source code Category:PD-user