File:Halflife-sim.gif
Allikas: Wikimedia Commons
Mine navigeerimisribale
Mine otsikasti
Halflife-sim.gif (100 × 188 pikslit, faili suurus: 17 KB, MIME tüüp: image/gif, korduv, 80 kaadrit, 8,5 s)
Faili teave
Struktuurandmed
Pealdised
Pealdised
Lisa üherealine seletus sellest, mida fail esitab
Lühikirjeldus
[muuda]KirjeldusHalflife-sim.gif |
English: Simulation of many identical atoms undergoing radioactive decay, starting with either four atoms (left) or 400 atoms (right). The number at the top indicates how many half-lives have elapsed. Note the law of large numbers: With more atoms, the overall decay is less random. Image made with Mathematica, I am happy to send the source code if you would like to make this image more beautiful, or for any other reason. |
Kuupäev | |
Allikas | Üleslaadija oma töö |
Autor | Sbyrnes321 |
Litsents
[muuda]Public domainPublic domainfalsefalse |
![]() |
Selle teose autoriõiguste valdajana annan selle teose avalikku omandisse. See kehtib üleilmselt. Kui see pole mõnes riigis õiguslikult võimalik: Annan kõigile õiguse seda teost kasutada ükskõik mille jaoks, ilma ühegi tingimuseta, kui seadus neid just ei sea. |
(* Source code written in Mathematica 6.0, by Steve Byrnes, 2010. I release this code into the public domain. *) SeedRandom[2] (*Build list of point coordinates and radii*) BuildCoordList[SqCenterX_, SqCenterY_, SqSide_, PtsPerRow_] := Flatten[Table[{i, j}, {i, SqCenterX - SqSide/2, SqCenterX + SqSide/2, SqSide/(PtsPerRow - 1)}, {j, SqCenterY - SqSide/2, SqCenterY + SqSide/2, SqSide/(PtsPerRow - 1)}], 1]; coordslist = Join[ BuildCoordList[3.5, 1, 1.8, 20], BuildCoordList[3.5, 3, 1.8, 20], BuildCoordList[3.5, 5, 1.8, 20], BuildCoordList[3.5, 7, 1.8, 20], BuildCoordList[1, 1, .7, 2], BuildCoordList[1, 3, .7, 2], BuildCoordList[1, 5, .7, 2], BuildCoordList[1, 7, .7, 2]]; NumPts = Length[coordslist]; radiuslist = Join[Table[.03, {i, 1, 4*400}], Table[.1, {i, 1, 4*4}]]; (*Draw borders*) xlist = {0, 2}; leftx = 0; rightx = 2; numx = Length[xlist]; ylist = {0, 2, 4, 6, 8}; topy = 0; boty = 8; numy = Length[ylist]; lines = {}; For[i = 1, i <= numy, i++, lines = Append[lines, Line[{{leftx, ylist[[i]]}, {rightx, ylist[[i]]}}]]]; For[i = 1, i <= numx, i++, lines = Append[lines, Line[{{xlist[[i]], topy}, {xlist[[i]], boty}}]]]; xlist = {2.5, 4.5}; leftx = 2.5; rightx = 4.5; numx = Length[xlist]; ylist = {0, 2, 4, 6, 8}; topy = 0; boty = 8; numy = Length[ylist]; For[i = 1, i <= numy, i++, lines = Append[lines, Line[{{leftx, ylist[[i]]}, {rightx, ylist[[i]]}}]]]; For[i = 1, i <= numx, i++, lines = Append[lines, Line[{{xlist[[i]], topy}, {xlist[[i]], boty}}]]]; (*Write numbers: I want to be able to write a number with one decimal place, including padding with ".0" when it's an integer.*) WriteNum[num_] := Block[{rounded}, rounded = N[Floor[num, 0.1]]; If[FractionalPart[rounded] == 0, ToString[rounded] <> "0", ToString[rounded]]]; (*Randomly choose decay times: To get an expontial-decay-distributed random number, we pick a number uniformly between 0 and 1. Take its negative log to get the time that it blows up, which is between 0 and infinity. But divide by log 2 so that when the time = 1, there's 50% chance of decaying. *) BlowTime = Table[-Log[RandomReal[]]/Log[2], {i, 1, NumPts}]; (*Draw graphics*) GraphicsList = {}; NumFrames = 80; TimePerFrame = .05; Video = {}; For[frame = 1, frame <= NumFrames, frame++, CurrentTime = (frame - 1)*TimePerFrame; ImageGraphicsList = lines; ImageGraphicsList = Append[ImageGraphicsList, Text[WriteNum[CurrentTime], {.8, 8.5}, {-1, 0}]]; ImageGraphicsList = Append[ImageGraphicsList, Text[WriteNum[CurrentTime], {3.3, 8.5}, {-1, 0}]]; For[pt = 1, pt <= NumPts, pt++, If[CurrentTime < BlowTime[[pt]], ImageGraphicsList = Append[ImageGraphicsList, {Blue, Disk[coordslist[[pt]], radiuslist[[pt]]]}]]]; Video = Append[Video, Graphics[ImageGraphicsList, ImageSize -> 100]];]; (*Pause at start*) Video = Join[Table[Video[[1]], {i, 1, 5}], Video]; (*Export*) Export["test.gif", Video, "DisplayDurations" -> {10}, "AnimationRepititions" -> Infinity ]
Faili ajalugu
Klõpsa kuupäeva ja kellaaega, et näha sel ajahetkel kasutusel olnud failiversiooni.
Kuupäev/kellaaeg | Pisipilt | Mõõtmed | Kasutaja | Kommentaar | |
---|---|---|---|---|---|
viimane | 25. märts 2010, kell 19:41 | ![]() | 100 × 188 (17 KB) | Aiyizo (arutelu | kaastöö) | Optimized animation, converted to 16 color mode |
5. veebruar 2010, kell 06:35 | ![]() | 100 × 188 (156 KB) | Sbyrnes321 (arutelu | kaastöö) | Changed top-bottom split to left-right split, with space between; pause at start; 400 atoms in each crowded box instead of 296. (Thanks to Bdb484 for suggestions.) | |
29. jaanuar 2010, kell 00:26 | ![]() | 61 × 131 (75 KB) | Sbyrnes321 (arutelu | kaastöö) | {{Information |Description={{en|1=Simulation of many identical atoms undergoing radioactive decay. The number at the top indicates how many half-lives have elapsed. Note that after one half-life there are not ''exactly'' one-half of the atoms remaining, o |
Sa ei saa seda faili üle kirjutada.
Faili kasutus
Seda faili kasutab järgmine lehekülg:
Globaalne failikasutus
Järgmised muud vikid kasutavad seda faili:
- Faili kasutus vikis ast.wikipedia.org
- Faili kasutus vikis ba.wikipedia.org
- Faili kasutus vikis bg.wikipedia.org
- Faili kasutus vikis bn.wikipedia.org
- Faili kasutus vikis cs.wikipedia.org
- Faili kasutus vikis cv.wikipedia.org
- Faili kasutus vikis cy.wikipedia.org
- Faili kasutus vikis da.wikipedia.org
- Faili kasutus vikis de.wikibooks.org
- Faili kasutus vikis en.wikipedia.org
- Faili kasutus vikis en.wikibooks.org
- Faili kasutus vikis et.wikipedia.org
- Faili kasutus vikis fi.wikipedia.org
- Faili kasutus vikis fr.wikipedia.org
- Faili kasutus vikis ga.wikipedia.org
- Faili kasutus vikis he.wikipedia.org
- Faili kasutus vikis hr.wikipedia.org
- Faili kasutus vikis ja.wikipedia.org
- Faili kasutus vikis ko.wikipedia.org
- Faili kasutus vikis lv.wikipedia.org
- Faili kasutus vikis mn.wikipedia.org
- Faili kasutus vikis pt.wikipedia.org
- Faili kasutus vikis ru.wikipedia.org
- Faili kasutus vikis simple.wikipedia.org
- Faili kasutus vikis tt.wikipedia.org
- Faili kasutus vikis vi.wikipedia.org
- Faili kasutus vikis www.wikidata.org