gibson:teaching:spring-2018:math445:lecture:loglinear

Logarithmic plots are useful when the data you're plotting varies over many orders of magnitude. Logarithmic plots can also highlight certain functional relationships

plot command | functional relationship |
---|---|

`plot(x,y)` | |

`semilogy(x,y)` | or |

`semilogx(x,y)` | |

`loglog(x,y)` |

In lecture I will show (1) why each of these functional relationships appears as a straight line in the corresponding plot command and (2) how to estimate the values of the constants from a graph, in order to estimate as an explicit function, given a few data points.

You can derive these formulae from the log-linear relations instead of memorizing them. For example, you can derive by exponentiating both sides of .

gibson/teaching/spring-2018/math445/lecture/loglinear.txt · Last modified: 2018/02/05 17:44 by gibson