# \#statistics-and-probability

**URL:** https://community.wolfram.com/tag/statistics-and-probability/59.md

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## [How can I include multiple labels in a PieChart?](https://community.wolfram.com/t/how-can-i-include-multiple-labels-in-a-piechart/28399)

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**Author:** [@rimarlag](https://community.wolfram.com/u/rimarlag)\
**Replies:** 2\
**Last updated:** [October 23, 2026, 8:10pm UTC](https://community.wolfram.com/t/how-can-i-include-multiple-labels-in-a-piechart/28399 "2026-10-23T20:10:59Z")

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I want to create several piecharts from data, but I want to add labels of categories and percentages. I tried something like this: PieChart\[{10, 20, 70}, ChartLabels → {Placed\[{“A”, “B”, “C”}, “RadialOuter”\], Placed\[{“1…

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## [Sphere-filling curve 2: scalable self-avoiding paths on a sphere via traveling salesman tours, geodesic polyhedra and Hamiltonian cycles](https://community.wolfram.com/t/sphere-filling-curve-2-scalable-self-avoiding-paths-on-a-sphere-via-traveling-salesman-tours-geodesic-polyhedra-and-hamiltonian-cycles/28398)

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**Author:** [@ivanovdenis710616](https://community.wolfram.com/u/ivanovdenis710616)\
**Replies:** 1\
**Last updated:** [October 23, 2026, 4:38pm UTC](https://community.wolfram.com/t/sphere-filling-curve-2-scalable-self-avoiding-paths-on-a-sphere-via-traveling-salesman-tours-geodesic-polyhedra-and-hamiltonian-cycles/28398 "2026-10-23T16:38:39Z")

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Intro In the previous post, we construct a special example of sphere filling curve. However, we noted that it (as many other known examples) are not truly scalable and self-similar. Such constructions simply copy frag…

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## [Devices of difference in games of complementarity](https://community.wolfram.com/t/devices-of-difference-in-games-of-complementarity/28337)

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**Author:** [@pharrald](https://community.wolfram.com/u/pharrald)\
**Replies:** 1\
**Last updated:** [October 14, 2026, 7:09pm UTC](https://community.wolfram.com/t/devices-of-difference-in-games-of-complementarity/28337 "2026-10-14T19:09:21Z")

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Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (3.0 MB)

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## [Pólya's urn: Martingales and limiting distribution](https://community.wolfram.com/t/polyas-urn-martingales-and-limiting-distribution/28231)

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**Author:** [@diegoferramos0493](https://community.wolfram.com/u/diegoferramos0493)\
**Replies:** 1\
**Last updated:** [October 3, 2026, 5:18pm UTC](https://community.wolfram.com/t/polyas-urn-martingales-and-limiting-distribution/28231 "2026-10-03T17:18:40Z")

</div>

Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (7.8 MB)

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## [A human-AI theorem connecting spontaneous and field-induced mechanisms of collective behavior in one dimension](https://community.wolfram.com/t/a-human-ai-theorem-connecting-spontaneous-and-field-induced-mechanisms-of-collective-behavior-in-one-dimension/28223)

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**Author:** [@wyinbnl](https://community.wolfram.com/u/wyinbnl)\
**Replies:** 1\
**Last updated:** [September 30, 2026, 9:13pm UTC](https://community.wolfram.com/t/a-human-ai-theorem-connecting-spontaneous-and-field-induced-mechanisms-of-collective-behavior-in-one-dimension/28223 "2026-09-30T21:13:12Z")

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Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (917.1 KB)

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## [The conditioned environmental center-periphery hypothesis of biogeography: statistical evidence from tree species](https://community.wolfram.com/t/the-conditioned-environmental-center-periphery-hypothesis-of-biogeography-statistical-evidence-from-tree-species/28154)

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**Author:** [@mricker](https://community.wolfram.com/u/mricker)\
**Replies:** 1\
**Last updated:** [September 23, 2026, 5:15pm UTC](https://community.wolfram.com/t/the-conditioned-environmental-center-periphery-hypothesis-of-biogeography-statistical-evidence-from-tree-species/28154 "2026-09-23T17:15:04Z")

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Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (1.1 MB)

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## [Where are time series webinar notebooks?](https://community.wolfram.com/t/where-are-time-series-webinar-notebooks/28076)

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**Author:** [@dlkeith](https://community.wolfram.com/u/dlkeith)\
**Replies:** 5\
**Last updated:** [September 22, 2026, 8:23pm UTC](https://community.wolfram.com/t/where-are-time-series-webinar-notebooks/28076 "2026-09-22T20:23:32Z")

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I am looking for the notebook used in the Time Series with Wolfram Language webinar.

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## [Constraint vs search: why is evolution computationally tractable?](https://community.wolfram.com/t/constraint-vs-search-why-is-evolution-computationally-tractable/26689)

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**Author:** [@crutzenmaurice](https://community.wolfram.com/u/crutzenmaurice)\
**Replies:** 7\
**Last updated:** [September 20, 2026, 2:25pm UTC](https://community.wolfram.com/t/constraint-vs-search-why-is-evolution-computationally-tractable/26689 "2026-09-20T14:25:20Z")

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Intro A fundamental question keeps coming up for me: If biological evolution operates in astronomically large spaces, why is search computationally tractable at all? Even a modest protein corresponds to a combinatoria…

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## [A general method for computing information entropy of molecules with symmetry group theory orbits](https://community.wolfram.com/t/a-general-method-for-computing-information-entropy-of-molecules-with-symmetry-group-theory-orbits/27481)

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**Author:** [@jessicaalfonsi](https://community.wolfram.com/u/jessicaalfonsi)\
**Replies:** 2\
**Last updated:** [September 1, 2026, 3:48pm UTC](https://community.wolfram.com/t/a-general-method-for-computing-information-entropy-of-molecules-with-symmetry-group-theory-orbits/27481 "2026-09-01T15:48:22Z")

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Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (1.35 MB)

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## [COVID-19 hospital resource use neural network modeling](https://community.wolfram.com/t/covid-19-hospital-resource-use-neural-network-modeling/27465)

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**Author:** [@ahlamabdelsttar](https://community.wolfram.com/u/ahlamabdelsttar)\
**Replies:** 1\
**Last updated:** [August 20, 2026, 6:18pm UTC](https://community.wolfram.com/t/covid-19-hospital-resource-use-neural-network-modeling/27465 "2026-08-20T18:18:06Z")

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Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (1.2 MB)

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## [Wong–Zakai regularization for continuous quantum measurement with NDSolve](https://community.wolfram.com/t/wong-zakai-regularization-for-continuous-quantum-measurement-with-ndsolve/27451)

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**Author:** [@mohammadb](https://community.wolfram.com/u/mohammadb)\
**Replies:** 1\
**Last updated:** [August 19, 2026, 1:14pm UTC](https://community.wolfram.com/t/wong-zakai-regularization-for-continuous-quantum-measurement-with-ndsolve/27451 "2026-08-19T13:14:47Z")

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Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (1.7 MB)

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## [Functional and machine learning models for single stage membrane and countercurrent membrane cascade](https://community.wolfram.com/t/functional-and-machine-learning-models-for-single-stage-membrane-and-countercurrent-membrane-cascade/27429)

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**Author:** [@andrewbiaglow](https://community.wolfram.com/u/andrewbiaglow)\
**Replies:** 1\
**Last updated:** [August 10, 2026, 11:06pm UTC](https://community.wolfram.com/t/functional-and-machine-learning-models-for-single-stage-membrane-and-countercurrent-membrane-cascade/27429 "2026-08-10T23:06:26Z")

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Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (953 KB)

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## [Continuous quantum measurement, from Bayes' rule to the quantum Kalman filter](https://community.wolfram.com/t/continuous-quantum-measurement-from-bayes-rule-to-the-quantum-kalman-filter/27414)

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**Author:** [@mohammadb](https://community.wolfram.com/u/mohammadb)\
**Replies:** 1\
**Last updated:** [August 6, 2026, 5:24pm UTC](https://community.wolfram.com/t/continuous-quantum-measurement-from-bayes-rule-to-the-quantum-kalman-filter/27414 "2026-08-06T17:24:33Z")

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Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (1.71 MB)

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## [Get standard errors for MLE of Subbotin Distribution?](https://community.wolfram.com/t/get-standard-errors-for-mle-of-subbotin-distribution/9883)

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**Author:** [@alexanderhempfing](https://community.wolfram.com/u/alexanderhempfing)\
**Replies:** 4\
**Last updated:** [August 4, 2026, 12:56am UTC](https://community.wolfram.com/t/get-standard-errors-for-mle-of-subbotin-distribution/9883 "2026-08-04T00:56:17Z")

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Hello everyone! :slight\_smile: I tried to estimate the standard errors of fitted Subbotin (exponential power) distribution parameters which have been calculated with FindDistributionParameters. Therefore I used the boot…

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## [Multifield Forecasting Model (MFM)](https://community.wolfram.com/t/multifield-forecasting-model-mfm/27397)

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**Author:** [@mingeunlee](https://community.wolfram.com/u/mingeunlee)\
**Replies:** 0\
**Last updated:** [August 3, 2026, 2:20pm UTC](https://community.wolfram.com/t/multifield-forecasting-model-mfm/27397 "2026-08-03T14:20:30Z")

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Hello Intellectuals, Publication of Multifield Forecasting Model (MFM) paper was finally completed today with our website’s renewal to Poll Plus Trend dot com…!!! Read the full paper here: https://doi.org/10.2139/ssrn…

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## [Quantile of a Transformed Distribution](https://community.wolfram.com/t/quantile-of-a-transformed-distribution/5221)

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**Author:** [@bcolletti](https://community.wolfram.com/u/bcolletti)\
**Replies:** 1\
**Last updated:** [August 3, 2026, 1:17am UTC](https://community.wolfram.com/t/quantile-of-a-transformed-distribution/5221 "2026-08-03T01:17:22Z")

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For independent discrete random variables X and Y uniformly distributed over {1,2,3,4,5}, I want to compute the 30th quantile of X + Y. Why doesn’t the first block of code work (it simply echos back the Quantile command…

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## [Expectation with Conditional Random variable](https://community.wolfram.com/t/expectation-with-conditional-random-variable/17278)

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**Author:** [@syedshan85](https://community.wolfram.com/u/syedshan85)\
**Replies:** 1\
**Last updated:** [August 2, 2026, 4:48am UTC](https://community.wolfram.com/t/expectation-with-conditional-random-variable/17278 "2026-08-02T04:48:30Z")

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Given an Exponentially Distributed Random Variable X\\sim \\exp(1). I need to find E\[P\_v\] in Mathematica, where P\_v is given as: P\_v= \\left\\{ \\begin{array}{ll} a\\left(\\frac{b}{1+\\exp\\left(-\\bar \\mu\\frac{P\_s X}{r^\\alpha…

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## [How to conduct a hypothesis test of a model with known sigma](https://community.wolfram.com/t/how-to-conduct-a-hypothesis-test-of-a-model-with-known-sigma/21125)

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**Author:** [@burbery1](https://community.wolfram.com/u/burbery1)\
**Replies:** 1\
**Last updated:** [August 1, 2026, 10:03pm UTC](https://community.wolfram.com/t/how-to-conduct-a-hypothesis-test-of-a-model-with-known-sigma/21125 "2026-08-01T22:03:54Z")

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I have a question I would like to solve in Mathematica with functions like HypothesisTestData. I have a sample size of 25 college students. The variable I am interested in is the mean travel time of college students. Th…

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## [Statistics Question of a Confidence Interval of a Proportion](https://community.wolfram.com/t/statistics-question-of-a-confidence-interval-of-a-proportion/22576)

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**Author:** [@masandlin](https://community.wolfram.com/u/masandlin)\
**Replies:** 1\
**Last updated:** [August 1, 2026, 9:31pm UTC](https://community.wolfram.com/t/statistics-question-of-a-confidence-interval-of-a-proportion/22576 "2026-08-01T21:31:51Z")

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Hi; In my example (see attached notebook), the values calculated by the NormalCI\[\] function does not equal the values calculated by the table and it my understanding that the two calculation methods should give the same…

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## [Cannot get simulated values to display on ListLinePlot](https://community.wolfram.com/t/cannot-get-simulated-values-to-display-on-listlineplot/27383)

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**Author:** [@masandlin](https://community.wolfram.com/u/masandlin)\
**Replies:** 1\
**Last updated:** [July 31, 2026, 7:30pm UTC](https://community.wolfram.com/t/cannot-get-simulated-values-to-display-on-listlineplot/27383 "2026-07-31T19:30:33Z")

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Hi: I cannot get the ListLinePlot at the bottom on the attached notebook to display the meanPath and the lowerBoundPath on the simulation plot. I have tried a bunch of different things, but nothing seems to work. Than…

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## [Testing a physics-informed feature for broad supernova classification](https://community.wolfram.com/t/testing-a-physics-informed-feature-for-broad-supernova-classification/27368)

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**Author:** [@limlee1201](https://community.wolfram.com/u/limlee1201)\
**Replies:** 1\
**Last updated:** [July 31, 2026, 2:20pm UTC](https://community.wolfram.com/t/testing-a-physics-informed-feature-for-broad-supernova-classification/27368 "2026-07-31T14:20:00Z")

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Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (180 KB)

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## [Modeling random walks on mazes via discrete Markov chains](https://community.wolfram.com/t/modeling-random-walks-on-mazes-via-discrete-markov-chains/27365)

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**Author:** [@diegoferramos0493](https://community.wolfram.com/u/diegoferramos0493)\
**Replies:** 2\
**Last updated:** [July 30, 2026, 12:54pm UTC](https://community.wolfram.com/t/modeling-random-walks-on-mazes-via-discrete-markov-chains/27365 "2026-07-30T12:54:24Z")

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Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (217 KB)

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## [Accessing and using TimeSeries data in Mathematica imported from Excel](https://community.wolfram.com/t/accessing-and-using-timeseries-data-in-mathematica-imported-from-excel/27345)

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**Author:** [@masandlin](https://community.wolfram.com/u/masandlin)\
**Replies:** 11\
**Last updated:** [July 26, 2026, 5:20pm UTC](https://community.wolfram.com/t/accessing-and-using-timeseries-data-in-mathematica-imported-from-excel/27345 "2026-07-26T17:20:21Z")

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Hi Community Member, I am trying to import a simple Excel spreadsheet containing a date stamp column and a data column of closing prices. While the import appears successful, the resulting TimeSeries object seems to lis…

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## [\[WSRI26\] Running Computational Clinical Trials on Cellular Automata](https://community.wolfram.com/t/wsri26-running-computational-clinical-trials-on-cellular-automata/27312)

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**Author:** [@iqrasajid771](https://community.wolfram.com/u/iqrasajid771)\
**Replies:** 3\
**Last updated:** [July 18, 2026, 5:57pm UTC](https://community.wolfram.com/t/wsri26-running-computational-clinical-trials-on-cellular-automata/27312 "2026-07-18T17:57:44Z")

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Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (2.12 MB)

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## [\[WSRI26\] A Computational Study of Benford's Law in Integer Sequences](https://community.wolfram.com/t/wsri26-a-computational-study-of-benfords-law-in-integer-sequences/27318)

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**Author:** [@wolgamot](https://community.wolfram.com/u/wolgamot)\
**Replies:** 1\
**Last updated:** [July 17, 2026, 11:00pm UTC](https://community.wolfram.com/t/wsri26-a-computational-study-of-benfords-law-in-integer-sequences/27318 "2026-07-17T23:00:32Z")

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Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (3.57 MB)

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## [\[WSRI26\] Emergent Continuum Behavior in Reversible Multiway Systems](https://community.wolfram.com/t/wsri26-emergent-continuum-behavior-in-reversible-multiway-systems/27292)

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**Author:** [@muhammadawaltahiru](https://community.wolfram.com/u/muhammadawaltahiru)\
**Replies:** 1\
**Last updated:** [July 17, 2026, 10:21pm UTC](https://community.wolfram.com/t/wsri26-emergent-continuum-behavior-in-reversible-multiway-systems/27292 "2026-07-17T22:21:22Z")

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Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (2.23 MB)

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## [\[WSRI26\] Where Will It Settle? Exploring Polymer Folding with Minimal Discrete Models](https://community.wolfram.com/t/wsri26-where-will-it-settle-exploring-polymer-folding-with-minimal-discrete-models/27302)

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**Author:** [@chr3857steck](https://community.wolfram.com/u/chr3857steck)\
**Replies:** 1\
**Last updated:** [July 17, 2026, 4:13pm UTC](https://community.wolfram.com/t/wsri26-where-will-it-settle-exploring-polymer-folding-with-minimal-discrete-models/27302 "2026-07-17T16:13:35Z")

</div>

Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (12.6 MB)

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## [\[WSRP26\] Investigating cognitive interference using a Wolfram language Stroop test](https://community.wolfram.com/t/wsrp26-investigating-cognitive-interference-using-a-wolfram-language-stroop-test/27258)

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**Author:** [@gautamvedika1](https://community.wolfram.com/u/gautamvedika1)\
**Replies:** 1\
**Last updated:** [July 15, 2026, 12:28am UTC](https://community.wolfram.com/t/wsrp26-investigating-cognitive-interference-using-a-wolfram-language-stroop-test/27258 "2026-07-15T00:28:47Z")

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Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (996 KB)

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## [\[WSRP26\] Analyzing strategic voting in multi-issue Borda count elections](https://community.wolfram.com/t/wsrp26-analyzing-strategic-voting-in-multi-issue-borda-count-elections/27229)

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**Author:** [@linzijunava](https://community.wolfram.com/u/linzijunava)\
**Replies:** 1\
**Last updated:** [July 14, 2026, 2:10pm UTC](https://community.wolfram.com/t/wsrp26-analyzing-strategic-voting-in-multi-issue-borda-count-elections/27229 "2026-07-14T14:10:24Z")

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Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (997 KB)

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## [\[WSRP26\] Matrix-based modeling of particle beam transport](https://community.wolfram.com/t/wsrp26-matrix-based-modeling-of-particle-beam-transport/27262)

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**Author:** [@aikumisolzhasqyzy](https://community.wolfram.com/u/aikumisolzhasqyzy)\
**Replies:** 1\
**Last updated:** [July 13, 2026, 11:11pm UTC](https://community.wolfram.com/t/wsrp26-matrix-based-modeling-of-particle-beam-transport/27262 "2026-07-13T23:11:42Z")

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Open in Wolfram Cloud ↗ DOWNLOAD-DESKTOP-NOTEBOOK.nb (2.63 MB)

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