Book Moving Mode：探索数据集的众数变化

GeoGebra 命令及参数

1. RandomUniform(0, 0.999, 200) → allRandomSeeds, {0.00682835687692941, 0.31751022864865613, 0.9469613743473014, 0.3802444348220913, 0.6776929754420038, 0.76428214240365, 0.8074903808372758, 0.42606040125808403, 0.16512834660239661, 0.24826002432011507, 0.11240457172647836, 0.8415839349211803, 0.6478526976109029, 0.13202811117378058, 0.36583838804715574, 0.6636353416699518, 0.6846096037975458, 0.41175457107435387, 0.686151331089769, 0.8377468165485289, 0.9906177082689095, 0.5517031057013612, 0.6902078178397075, 0.7092477992047876, 0.5108814465125537, 0.5691814575847132, 0.46302645707550466, 0.2427175927249931, 0.8650746774832339, 0.6941446446753122, 0.18008336216497606, 0.6400144673341323, 0.73715975053333, 0.9256461012360586, 0.5534914018637197, 0.7889260276858454, 0.7370766232393213, 0.5907744746686963, 0.9114315900435689, 0.009288450883655317, 0.8247260057302246, 0.5726268828503165, 0.3765875382103911, 0.909195696003367, 0.41407831855723787, 0.2292510800888336, 0.31292652513316344, 0.779660133842514, 0.8725681211724167, 0.1323398371422842, 0.9429819308949486, 0.8067964186799411, 0.2589796019492774, 0.6827800038205126, 0.7808225653431936, 0.6152790654083498, 0.7617923313369603, 0.33494671251879754, 0.3231429920242129, 0.05647177538660486, 0.5294413547806932, 0.6278904144365258, 0.27337709458600923, 0.919242402865092, 0.23714664616000064, 0.49728957744672175, 0.41042326049488304, 0.2590628064260239, 0.032888585319304026, 0.33623638934385414, 0.10247528933696123, 0.3055464361054644, 0.2417452642473024, 0.12258604751239872, 0.3825766985008646, 0.5470987537677369, 0.5321662092233089, 0.5007317591118822, 0.45585926912719354, 0.38884711199499755, 0.07683405705075973, 0.0972683773861889, 0.46698785703450824, 0.9614763938793055, 0.6095616461984681, 0.4890769153627955, 0.38711402665342826, 0.07602568890354981, 0.19318672940627651, 0.21090009732884746, 0.9036401171897975, 0.9970985214191458, 0.9086595918369569, 0.867486241392294, 0.2793125620243331, 0.747305506589311, 0.6904716972515148, 0.9638539371430846, 0.23060075370244987, 0.8450931290715474, 0.9652434341961598, 0.30217481352406206, 0.04297230700064626, 0.009416172953283277, 0.835679473997153, 0.8941843673799411, 0.26354957350403724, 0.12198398400912645, 0.05620839873389889, 0.17291283140161837, 0.5447256284620218, 0.9040511007473002, 0.1664501969979999, 0.8848786570090562, 0.4156289278269999, 0.1149341834788675, 0.7592013303030373, 0.5127065368679373, 0.02885616201691667, 0.7676144501302903, 0.995891718263658, 0.18941976991933113, 0.2176423046685914, 0.8369332039187518, 0.17945150361085982, 0.10841404242081612, 0.5206038915216938, 0.11200386418677707, 0.39722718375772914, 0.1323447836082933, 0.17737883123343767, 0.41954904843051705, 0.004008003512221686, 0.859854866110026, 0.48889089661725393, 0.21792468858894934, 0.9553630390012293, 0.7222325766850765, 0.357591004809697, 0.624616193093794, 0.8593477911460576, 0.7607214673310142, 0.24587046819859812, 0.33998198064186425, 0.8912162141372134, 0.6393041187182122, 0.2979029593691161, 0.5279807508689179, 0.6440699154098132, 0.07435179623196501, 0.8564515362550251, 0.67754651246909, 0.3383912996390664, 0.320569176041315, 0.15967695105933719, 0.6381737247656496, 0.7741402611771987, 0.5721710395420363, 0.5577010430081958, 0.5321405897748966, 0.861546770987795, 0.12320283403602844, 0.22561472232644186, 0.002633523401810604, 0.5519019588129788, 0.9293614043455896, 0.929776689589217, 0.3028400025872535, 0.5305406939011422, 0.7815856569484456, 0.13162186698075773, 0.07284879670732249, 0.07981618133104883, 0.6130683831197784, 0.3447919820846296, 0.2369381601547729, 0.10119531826697108, 0.6361909080877599, 0.4572119675908611, 0.3785427723407819, 0.42164814858117955, 0.8722023638897075, 0.4217662954745206, 0.09186827237092605, 0.1392707765129701, 0.34625236118128855, 0.5594781288290942, 0.28177015801719035, 0.9525633104339716, 0.6786437385364532, 0.5165622757785356, 0.11813012858838383, 0.14298743598459537, 0.07389660953807693, 0.7714092066157594, 0.3525474851456436, 0.08334843158871108, 0.704410529417889, 0.48046266626696266, 0.026717120346035527}
2. RandomUniform(0, 0.999, 200) → randomBookSeeds, {0.9791868307812335, 0.35117308374063516, 0.3520778579955978, 0.15438841300652686, 0.7987223638954207, 0.6970968883021179, 0.2027890790171682, 0.8462898430207696, 0.2099711468809086, 0.10916567707388462, 0.8079782698284665, 0.46686477210633165, 0.7214516530742029, 0.8406411528326035, 0.6867152517034947, 0.8390922876399405, 0.10641099992526927, 0.5831193010578165, 0.4785402967419313, 0.2400643672499305, 0.6097353861235413, 0.9552319410580133, 0.6681766335760645, 0.8703568462196534, 0.44366123387188733, 0.08126533728110975, 0.49459775478073686, 0.8035670409520352, 0.5100745081750899, 0.6309111106653338, 0.02052911591240922, 0.9096938962415028, 0.3695748445989745, 0.8187790920514411, 0.5103380998905852, 0.13230962324178647, 0.9895902904824233, 0.6421818773710241, 0.45835899652066436, 0.5617125523462647, 0.921654674795121, 0.3170533168204229, 0.8210108282990327, 0.18146123126654656, 0.14850664983904516, 0.2466808967793749, 0.29759670329617305, 0.788868209437712, 0.016932753482127104, 0.05822104231837302, 0.7554219544641435, 0.6021797159408366, 0.34026155934788455, 0.20572290933117082, 0.2588363143083312, 0.24328324942427876, 0.9601172018993481, 0.3986115586198231, 0.4649918515518046, 0.3518705925132804, 0.8144618861242026, 0.635276373052192, 0.5875135854977681, 0.8530369153913744, 0.8200965121094493, 0.944572930494437, 0.493903936645548, 0.9903194383757424, 0.6996469926148282, 0.028678869802904336, 0.9833446202213842, 0.5951704351500055, 0.1996409488620012, 0.8688448281623379, 0.7576214186616145, 0.7078187600466755, 0.02957548921756143, 0.044150612978183436, 0.09617745258066941, 0.588403554260233, 0.24889108203932547, 0.8884151446829445, 0.8067994199811148, 0.34916061782119523, 0.7525004525542658, 0.9199151921855309, 0.5861592518918345, 0.9413084786006949, 0.9749731481191084, 0.8825440982218864, 0.5063700991441747, 0.9891160323492848, 0.9216475045246224, 0.6014853097296203, 0.021870921543470145, 0.0014374237983715147, 0.1648312554213227, 0.36638917877814764, 0.509327601814468, 0.8367721266938003, 0.48986086552955704, 0.9254229793724791, 0.08783198567851269, 0.9116497046016518, 0.48011600504076596, 0.2944149576705981, 0.15649077252735205, 0.4948482737529667, 0.4181322607947625, 0.47763220270669415, 0.8885277974557845, 0.6586347327028712, 0.5647196241071855, 0.9215207844252137, 0.6732705511907052, 0.8748623142459876, 0.03447720517605579, 0.946992752537259, 0.33286149341069793, 0.9843766997876469, 0.20129750332888777, 0.6895706349854339, 0.8052194881619652, 0.296767839750647, 0.8263739845216643, 0.0988942620671192, 0.8506830626112373, 0.8610572175564903, 0.8518655134781934, 0.35775800935374713, 0.25589093453652123, 0.548433762297257, 0.12472962823615125, 0.6869780807106225, 0.9677977541643014, 0.4096420562093968, 0.15031358078190396, 0.8609900607125228, 0.5662849320988079, 0.9610871129059205, 0.3450883474268025, 0.9351468173135431, 0.4646063927330308, 0.4381479330842967, 0.14342497774957302, 0.6132241444142518, 0.31790833724186296, 0.7655903873321499, 0.7605466365164958, 0.40364903904701505, 0.1412797139732497, 0.007335470610682147, 0.37574113207791787, 0.22044063394836194, 0.7722265680200676, 0.27417423998834406, 0.9685903415118846, 0.3577984289742533, 0.43911919278895933, 0.6753245506651026, 0.1103620577164726, 0.8396854378980623, 0.34703409926868267, 0.6729968964080743, 0.5088184212731488, 0.9846356371997895, 0.42050672193830185, 0.34837804307037223, 0.26152217351717133, 0.6523658938023913, 0.536021295919407, 0.46265119686762873, 0.3172680574218311, 0.05059161502413006, 0.8575953533803808, 0.8738499194744135, 0.8595309808869105, 0.16373365901517378, 0.17356477643374205, 0.8194905149985581, 0.9638062486051661, 0.8399608828643318, 0.4446436013138285, 0.8140441397227293, 0.10841920693946887, 0.3172380437390315, 0.15151871040514162, 0.4323943672449833, 0.8608025819690664, 0.5007434543752366, 0.3726455416268955, 0.03448000190583896, 0.34737943053490705, 0.6391835924044014, 0.9845342794673758, 0.5793452026226951, 0.8780479230722857, 0.10416387497498729, 0.7866591546080429, 0.03281042507009921}
3. Take(allRandomSeeds, randIndex, randIndex + numRandoms - 1) → currentRandomSeeds
4. Corner(5) → layoutAppSize
5. onboardingTextOffset(Corner[onboardingText, 1], Corner[onboardingText, 3], onboardingCase, Corner[1], Corner[3], Corner[5]) → OnboardingTextOffset
6. PixelsToPoint(Corner[1], Corner[3], Corner[5], (11, 400)) → AnchorLeft
7. PixelsToPoint(Corner[1], Corner[3], Corner[5], (11 + shelfWidthPX, 400)) → AnchorRight
8. PixelsToPoint(Corner[1], Corner[3], Corner[5], (11, 277)) → AnchorShelfB
9. PixelsToPoint(Corner[1], Corner[3], Corner[5], (11, 162)) → AnchorShelfA
10. Flatten(Zip[Sequence[(x(AnchorLeft) + pointGap + (B * (pointGap + pointBookWidth)), y(A) + pointGap / 2), B, 0, 3], A, {AnchorShelfA, AnchorShelfB, AnchorLeft + (0, (1.5 * pointGap / 2))}]) → allShelfPositions
11. Translate(clickTemplate, allShelfPositions(1)) → clickA1
12. Translate(clickTemplate, allShelfPositions(2)) → clickA2
13. Translate(clickTemplate, allShelfPositions(3)) → clickA3
14. Translate(clickTemplate, allShelfPositions(4)) → clickA4
15. Translate(clickTemplate, allShelfPositions(6)) → clickB2
16. Translate(clickTemplate, allShelfPositions(5)) → clickB1
17. Translate(clickTemplate, allShelfPositions(7)) → clickB3
18. Translate(clickTemplate, allShelfPositions(8)) → clickB4
19. Translate(clickTemplate, allShelfPositions(9)) → clickC1
20. Translate(clickTemplate, allShelfPositions(10)) → clickC2
21. Translate(clickTemplate, allShelfPositions(11)) → clickC3
22. Translate(clickTemplate, allShelfPositions(12)) → clickC4
23. Element(Remove[Sequence[1, 12], {currentIndices(pick)}], 1 + floor((randomBookSeeds(bookIndex) * 11))) → nextBookIndex
24. If(countQuestion ≟ 0, startingBooks, Sequence[1 + floor((currentRandomSeeds(A) * 12)), A, 1, 12]) → randomIndices
25. Mode(randomIndices) → modeRandom
26. Sequence(If[i ≟ pick, If[currentIndices(i) ≟ cEMPTY, nextBookIndex, cEMPTY], currentIndices(i)], i, 1, 12) → possibleNewBooks
27. Mode(Remove[Take[currentIndices, 1, 12], Sequence[cEMPTY, A, 1, CountIf[x ≟ cEMPTY, currentIndices]]]) → modeCurrent
28. PixelsToPoint((xMin, yMin), (xMax, yMax), (800, 500), (400, 200)) → AnchorMode
29. Zip(A + AnchorMode - allShelfPositions(1), A, allShelfPositions) → allModePositions
30. Zip(If[B ≟ 1, Translate[bookA, A]], A, Join[{allShelfPositions, allModePositions}], B, currentIndices) → displayBookA
31. Zip(If[B ≟ 2, Translate[bookB, A]], A, Join[{allShelfPositions, allModePositions}], B, currentIndices) → displayBookB
32. Zip(If[B ≟ 3, Translate[bookC, A]], A, Join[{allShelfPositions, allModePositions}], B, currentIndices) → displayBookC
33. Zip(If[B ≟ 4, Translate[bookD, A]], A, Join[{allShelfPositions, allModePositions}], B, currentIndices) → displayBookD
34. Zip(If[B ≟ 5, Translate[bookE, A]], A, Join[{allShelfPositions, allModePositions}], B, currentIndices) → displayBookE
35. Zip(If[B ≟ 6, Translate[bookF, A]], A, Join[{allShelfPositions, allModePositions}], B, currentIndices) → displayBookF
36. Zip(If[B ≟ 7, Translate[bookG, A]], A, Join[{allShelfPositions, allModePositions}], B, currentIndices) → displayBookG
37. Zip(If[B ≟ 8, Translate[bookH, A]], A, Join[{allShelfPositions, allModePositions}], B, currentIndices) → displayBookH
38. Zip(If[B ≟ 9, Translate[bookI, A]], A, Join[{allShelfPositions, allModePositions}], B, currentIndices) → displayBookI
39. Zip(If[B ≟ 10, Translate[bookJ, A]], A, Join[{allShelfPositions, allModePositions}], B, currentIndices) → displayBookJ
40. Zip(If[B ≟ 11, Translate[bookK, A]], A, Join[{allShelfPositions, allModePositions}], B, currentIndices) → displayBookK
41. Zip(If[B ≟ 12, Translate[bookL, A]], A, Join[{allShelfPositions, allModePositions}], B, currentIndices) → displayBookL
42. Mode(Remove[possibleNewBooks, Sequence[cEMPTY, A, 1, CountIf[x ≟ cEMPTY, possibleNewBooks]]]) → modePossible
43. Translate(Dilate[bookA, 1 + pulsing / 4, (pointBookWidth / 2, pointBookWidth / 2)], allShelfPositions(11)) → pulsingBook