File:StratifiedPoints.gif
Summary
| Description |
English: (*The stratification process redistributes the random elements into a \
relatively homogeneous group and then samples randomly. Every element \ in the original set is uniquely reassigned to one stratum.*) \ tinyColor[color_, point_] := {PointSize[Small], color, Point[point]} colorChoose[point_] := tinyColor[Blue, point] Clear[r, n]; r = 100; n = r^2; darts = RandomReal[{0, 1}, {n, 2}]; coloredDarts = ParallelMap[colorChoose, darts]; Clear[smoothedDarts, tempPoints] subGrouper = Table[i, {i, 0, r - 1}]; shiftyGuy = Flatten[Tuples[subGrouper, 2]]; tempPoints = Partition[(shiftyGuy + Flatten[darts])*(1/r), 2]; smoothedDarts = RandomSample[tempPoints, n]; Export["~/Desktop/stratifiedPoints.gif", Table[ListPlot[Part[smoothedDarts, 1 ;; max], AspectRatio -> 1,
PlotStyle -> {PointSize[Small], Blue},
PlotRange -> {{0, 1}, {0, 1}},
PlotLabel ->
TraditionalForm[max "Randomly Selected Stratified Points"],
Frame -> True, ImageSize -> {400, 400}], {max, 100, Length[darts],
Length[darts]/100}],
"DisplayDurations" -> ConstantArray[1, 9]~Join~{3}] |
| Date | |
| Source | Own work |
| Author | Caitlin Jo Ramsey |
| Camera location |  | View this and other nearby images on: OpenStreetMap |  |
|---|
(*This mathematical image was created with Mathematica. The stratification process redistributes the random elements into a \ relatively homogeneous group and then samples randomly. Every element \ in the original set is uniquely reassigned to one stratum. Source code for this image is available below.*) \ tinyColor[color_, point_] := {PointSize[Small], color, Point[point]} colorChoose[point_] := tinyColor[Blue, point]
Clear[r, n]; r = 100; n = r^2; darts = RandomReal[{0, 1}, {n, 2}]; coloredDarts = ParallelMap[colorChoose, darts];
Clear[smoothedDarts, tempPoints] subGrouper = Table[i, {i, 0, r - 1}]; shiftyGuy = Flatten[Tuples[subGrouper, 2]]; tempPoints = Partition[(shiftyGuy + Flatten[darts])*(1/r), 2];
smoothedDarts = RandomSample[tempPoints, n];
Export["~/Desktop/stratifiedPoints.gif",
Table[ListPlot[Part[smoothedDarts, 1 ;; max], AspectRatio -> 1,
PlotStyle -> {PointSize[Small], Blue},
PlotRange -> {{0, 1}, {0, 1}},
PlotLabel ->
TraditionalForm[max "Randomly Selected Stratified Points"],
Frame -> True, ImageSize -> {400, 400}], {max, 100, Length[darts],
Length[darts]/100}],
"DisplayDurations" -> ConstantArray[1, 9]~Join~{3}]
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This diagram was created with Mathematica by n.Category:PNG created with Mathematica#StratifiedPoints.gif