Drew Christianson
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 Jun3 suggested approved edit on Convolution correct? Jun3 comment Ratio and number theory @Kartik I feel obliged to point out that this is problem where brute force can definitely prove the right answer. There are only 900 possible $K$s, so it is feasible to check each one to find the minimum. Jun3 comment Ratio and number theory With positive division, floor is effectively a truncate function; it returns the integer part of a ratio. Lets take $x=152$ as an example. So let, $d_{100}(152)= \left\lfloor\frac{152}{100}\right\rfloor = \left\lfloor 1.52\right\rfloor = 1$ which is the hundreds digit. Then clearly, $\left\lfloor\frac{152-100*1}{10}\right\rfloor = 5$ is the tens digit, because we've subtracted off the hundreds. Just rephrase the $100*1$ to $100*d_{100}(152)$, and you've got a general expression for the tens digit. Repeat the same process for the 1s digit. Jun3 revised Ratio and number theory Convert to Latex Jun3 suggested approved edit on Ratio and number theory Jun3 answered Ratio and number theory Jun3 revised Ratio and number theory edit for clarity Jun3 suggested approved edit on Ratio and number theory Jun3 comment Tricky probability explanation math.ucdavis.edu/~gravner/MAT135A/materials/… Jun3 revised Show that $F_X(q_t)=t$ Format, texify, edit for clarity. Jun3 suggested approved edit on Show that $F_X(q_t)=t$ Jun2 comment Draw a graph from an incidence matrix in Excel The documentation I linked indicates it takes an incidence matrix. This isn't exactly my area though, so I can't attest to it. R is free though, and very effective so I'd give it a shot. Jun2 comment Draw a graph from an incidence matrix in Excel Yup, looks like R will do it. I've added an answer with links to it and the necessary package. Jun2 comment Stochasticity of Fermi problems Do you have a reference to where you've heard that description? It may be easier to explain if we had the specifics of that view available. Jun2 answered Draw a graph from an incidence matrix in Excel Jun2 comment Draw a graph from an incidence matrix in Excel I can't offer specific software recommendations, but know that Excel can save files as comma separated value or tab delimited (.csv or .tab) files, which are pretty much universal for data-driven software. So, no need to limit your search only to programs that can read from excel files. Jun2 comment System of two Equations @the-ever-kid Sorry, I was a little snarky. I thought you were contending your graph was correct because it was from mathematica and you thought mine was from gnuplot. I think we've both been reassured that tone does not always come through well on the internet. Jun1 comment System of two Equations @the-ever-kid sorry, I got confused with the names. I'm not sure what you're getting at with your comment about gnuplot. Just because yours is from mathematica doesn't make it more right (mine was from Maple btw). Just to prove it to you though, here's the same implicit graph from the original system of equations from Mathematica: imgur.com/dPqq1 which you can draw yourself with: $$ContourPlot[{y + (x)^{(1/2)} == 11 , x + (y)^{(1/2)} == 7}, {x, 0, 10}, {y, 0, 10}]$$ also, wolframalpha: wolframalpha.com/input/… Jun1 comment System of two Equations @thomas some of your confusion on Robert's answer below may be stemming from the graph you used. I'm not sure what you used to graph the equations, but it has plotted both branches of the square roots. If you were to plot the initial system of equations implicitly, a la: i.imgur.com/ayQ6m.jpg you can see there's only one real solution Jun1 comment How to integrate out a function parameter Perhaps I'm a bit dense, but I'm not seeing what you intend $p(x|a,b)$ to mean. I would interpret that as a the probability of $x$ conditioned on $a,b$, but given the rest of your question, I don't think that's what you meant. Could you be more specific/expand your notation a bit?