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Results tagged with plotting
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user 21693
Questions on creating visualizations from functions or data using high-level constructors such as Plot, ListPlot, Histogram, etc.
1
vote
2
answers
182
views
Sierpinski Triangle and Benford's Law (Edit)
I would like some help solving the following problem using Mathematica: Show that, no matter what the initial area of an equilateral triangle is, the sequence of areas (painted in black) of the figure …
2
votes
2
answers
105
views
Binary Distance between the two Primes
Given a prime number p, is there always a smaller positive integer exponent k such that p+2^k is also prime? We will call the smallest possible value of this exponent the k*.
We could interpret this n …
1
vote
Binary Distance between the two Primes
dyb[n_] := Module[{i = 0}, If[n > 2 && PrimeQ[n], While[! PrimeQ[n + 2^i], i = i + 1;]; i]]
primes = Select[Range[2, 97], PrimeQ];
resp = Table[dyb[n], {n, primes}];
Grid[Transpose[{primes, resp}], …
9
votes
3
answers
1k
views
Taxicab Geometry
According to taxicab geometry, there are 1226 possible paths from A(2,5) to B(7,9), all with a distance of 9 units, |2-7|+|9-5|=9. I wanted to write a code where I could be obtaining the plots of some …
3
votes
3
answers
327
views
Parabola from a focus and a directrix
The code below is an attempt to obtain the graph of a parabola from two pieces of information: a focus and a directrix. I am not able to get the correct graphical shape of the parabola. I appreciate a …
4
votes
4
answers
225
views
Lines of intersections in a parabola
To test the parabolic sieve, my intention was for the graph to show the coordinates of two points on the parabola and the value of the intersection on the y-axis. A table with this information would a …
0
votes
3
answers
121
views
All composite numbers are crossed by the lines
I'm trying a version of the code with the concavity of the parabola upwards (y=x^2), but I'm not succeeding. I appreciate any help.
Manipulate[
With[{np = NextPrime[xf]},
Plot[{Sqrt[x], -Sqrt[x]}, …
1
vote
All composite numbers are crossed by the lines
I made some adjustments to the coordinates.
Manipulate[With[{np = NextPrime[xf]}, Plot[{x^2}, {x, -10, xf}, Axes -> {True, True},
Epilog -> { Opacity[0.4], Purple, Line /@ Flatten[ Outer[List, Tabl …
1
vote
2
answers
86
views
Parabolas to the right or to the left
I would like some help to make the opening (concavity) of the parabolas go to the right or left, and not up or down.
Manipulate[
Plot[a (y - k)^2 + h, {y, -10, 10},
PlotRange -> {{-10, 10}, {-10, …
2
votes
Parabolas to the right or to the left
Based on the posted comments, I made the following changes:
Manipulate[(*Define the quadratic function*)f[y_] := a y^2 + b y + c;
(*Plot the quadratic function*)
ParametricPlot[{f[y], y}, {y, -10, …