What is Logarithmic scale: Definition and 15 Discussions
A logarithmic scale (or log scale) is a way of displaying numerical data over a very wide range of values in a compact way—typically the largest numbers in the data are hundreds or even thousands of times larger than the smallest numbers. Such a scale is nonlinear: the numbers 10 and 20, and 60 and 70, are not the same distance apart on a log scale. Rather, the numbers 10 and 100, and 60 and 600 are equally spaced. Thus moving a unit of distance along the scale means the number has been multiplied by 10 (or some other fixed factor). Often exponential growth curves are displayed on a log scale, otherwise they would increase too quickly to fit within a small graph. Another way to think about it is that the number of digits of the data grows at a constant rate. For example, the numbers 10, 100, 1000, and 10000 are equally spaced on a log scale, because their numbers of digits is going up by 1 each time: 2, 3, 4, and 5 digits. In this way, adding two digits multiplies the quantity measured on the log scale by a factor of 100.
So I'm playing with this visualization from this other thread
and I'm brute-forcing the "days" scale because don't really know how to place the marks.
(by brute-forcing, I mean I am using SUVAT to calculate the distance one can travel in one day, then redoing it to calc the distance in two...
Hi,
knowing the coordinates of two points: ##(x_1,y_1)## and ##(x_2,y_2)## on a linear scale plot, I can use linear interpolation to get ##y## for a point of known ##x## using the formula below: $$y=y_1+(x−x_1) \frac{(y_2−y_1)}{(x_2−x_1)}$$
But how does it look like in the case of logarithmic...
Star magnitudes of brightness seem to use inverse logarithmic scales, is there a benefit to this? Why was this chosen, i can understand logarithmic might make it easier to interpret data in same way we do similar for earthquakes etc.
But why inverse ? When i look at a HR diagram for example (...
The author, John Burn-Murdoch, shows here ( https://threadreaderapp.com/thread/1237748598051409921.html ) how the logarithmic scale can give a better "sense" of what is happening. In linear scales, some countries' data is squashed to almost nonexistent, while others explode out of control.
I...
I wrote the following code in MATLAB:
t = [0:0.001:0.1];
noise = randn(1,size(t,2));
a = 15*10^9;
b = 15*10^(-3);
c = 7*10^8;
y = a*exp(-t/b)+c+noise*100000000;
fun = @(p,t)p(1)*exp(-t/p(2))+p(3);
p0 = [15.5*10^9, 14*10^(-3), 6*10^8];
p = lsqcurvefit(fun, p0, t, y);
t_fit = [0:0.0001:0.1];
y_fit...
Hello every one.
Today's question is: if I'm writte a graph using logarithm scale, must i use the dimensions of the graph "logarithmized" too ?
i.e : A Distance x Force graph must have its dimensions as log (m) x log (N) ? or it is just valid for the module ?
Thanks for the tips
I drawed a relation between the growth rate of the material to the laser intensity.
After drawing, My professor told me that I must convert both values of the growth rate and the laser intensity to their values in the logarithmic scale.
I don't know how.
May I get a help.
Hi Everyone,
I have a question about logarithmic sampling. I think I might have to go and review my Z-transforms, but maybe not.
The reason I am doing this is because I am automating equipment which records the data over time, but I want the sampling to be done logarithmically.
If I have an...
Hello people,
I have a question about the log-scale. What happens when we switch a plot from linear scale to the log scale?
Let's say I have two arrays: x values and corresponding y values. I plot them using a linear scale and then I switch to the log scale. What happens? Does the program...
Let me start by saying my understanding of logarithms is relatively limited, with that out of the way on to my question.
The question I have is in a situation where you have 2 items that are inversely related and both have a starting point of 100%. How would you calculate the point where...
Homework Statement
hi i have the folowing data i would like to plot in matlab
plotERRLW =
0.0466 0.0111 0.0074 0.0046
NX =
50 500 1000 2000
i am using a logarithmic graph to gain a straight line, if i wished to find the gradient of the line...
Hi!
I'm making a computer program that represents some quantities in a graph in this way:
x'i=(xi-xmin)/(xmax-xmin)
so that the possible values of x range from 0 to 1. This is a linear scale. I want to do the same with the logarithmic values of xi. That is, I want to implement a log...
Hello All,
I am working on a program that produces plots that use a logarithmic scale on the X-Axis (for showing decade frequency ranges). The Y-axis can have any arbitrary value and I'm not thinking about that at this point, but here is my question.
Say, for simplicity that every Y-value...
Help please!
Here is the prob and i don't not know where or how to begin.
1.Jose was having a really bad day out on the bike. He should have checked the forecast. First, the wind coming out of nowhere. Must have been a steady 30 mph with gusts up to 50, head on. Then the lightning. First 1...
I am working on a homework for a programming class. We have to create a Logarithmic plot and add to it a marker when the program is running on the click of the mouse. That is NOT the problem :) , in fact, that's very simple!
My problem, however, is with the scale. When my plot is in linear...