ASKSAGE: Sage Q&A Forum - Latest question feedhttp://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Mon, 05 Mar 2018 09:35:11 -0600How to plot similarity of two data sets in Sage?http://ask.sagemath.org/question/41406/how-to-plot-similarity-of-two-data-sets-in-sage/I'm performing some simulations, and at the end I have a CSV file with three columns. One column holds the values for the x-axis, which was also input to the simulation and theoretical calculations, second one holds theoretically expected values, and the other column holds the values obtained by the simulation. I was planning to plot something like this:
![image description](https://ask.sagemath.org/upfiles/15194978051374454.png)
But that does not look good in my case, as the values in y-axis normally double, and the values for the x-axis exponentially increase, so most of the points end up getting collected at the lower left part, near the intersection of x-axis and y-axis of the plot. Therefore, I need a different way to plot such data, which will be more visually appealing and inform how close the simulation results are to the theoretical expected ones. For example, some of my values can be seen below:
x = [2, 4, 8, 16, 32, 64] # partially removed for brevity
expected = [47.9995, 95.9783, 191.9127, 383.9708, 767.8831] # partially removed for brevity
simulated = [48, 96, 191.8, 383.8, 767.4] # partially removed for brevity
What is a good way to plot such a data that doubles in the y-axis and exponentially increases on the x-axis all the time, and to view how similar the two datasets actually are?ninhoMon, 05 Mar 2018 09:35:11 -0600http://ask.sagemath.org/question/41406/Checking conjugacy of two mariceshttp://ask.sagemath.org/question/34663/checking-conjugacy-of-two-marices/1. I want to check whether or not two matrices are conjugate. I need to check conjugacy for two matrices in $SL(2,\mathbb{Z})$. How to do it ?
How to do it for any general ring or field ? (Notice that I just want to verify whether two given matrices are conjugate or not, I don't need the actual matrices; meaning that say $X$ and $Y$ are conjugates and $AXA^{-1}=Y$. I just want to know if or not $X$ and $Y$ are conjugates, I don't need the matrix $A$)
2. Extending the previous question, say $AXA^{-1}=Y$. Then we can solve the system of linear equations $AX=YA$ to find out $A$. But is there any command which can directly find $A$ ?nebuckandazzerWed, 31 Aug 2016 02:35:21 -0500http://ask.sagemath.org/question/34663/