History of Volume of the $d$-dimensional unit ball

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2026-08-14 21:29 bmatschke how well the digits are known: proven (interval or ball arithmetic only) current
2026-08-13 18:35 bmatschke declares how well its digits are known
2026-08-13 17:44 bmatschke declares its rigour: proven -- interval arithmetic throughout, with the two exact entries returned exactly reviewed
2026-08-13 15:34 bmatschke generator rewritten so the enclosure is visible in the code: every step is interval arithmetic, the working guard is 256 bits with the measurement behind it, and B_0 and B_1 are returned exactly. No number changes.
2026-08-12 22:24 bmatschke recomputed with the numberdb package: d=13..30 regain the digits the old script lost to counting decimal places rather than significant ones
2026-08-09 09:11 flattening entries rewritten as records with named parameters
2026-08-09 08:33 data-repository import the current state of the data repository
2021-03-12 17:30 bmatschke from the data repository, 257ff8c5
2021-03-12 03:40 bmatschke from the data repository, ad2464dc

What changed between 2026-08-09 09:11 and 2026-08-12 22:24

from line 73 (56 lines) @@ -73,56 +73,56 @@
 - params:     d: '13'-  number: '0.910628754783283146038169895197467325674354116952484307103694468479402233646507768734231252979947565'+  number: '0.9106287547832831460381698951974673256743541169524843071036944684794022336465077687342312529799475652' - params:     d: '14'-  number: '0.599264529320792076887739383546040046015363586368135369594094145314114021288415055741756472835319391'+  number: '0.5992645293207920768877393835460400460153635863681353695940941453141140212884150557417564728353193920' - params:     d: '15'-  number: '0.381443280823304482817743669775381511807137412550719887157328612153319507567575457392111035389816352'+  number: '0.3814432808233044828177436697753815118071374125507198871573286121533195075675754573921110353898163527' - params:     d: '16'-  number: '0.235330630358893204541879352775465421545068935308558598514635203746699129509706753373895444618524680'+  number: '0.2353306303588932045418793527754654215450689353085585985146352037466991295097067533738954446185246807' - params:     d: '17'-  number: '0.140981106917139037916327119735754850462796633707040507447827896272623741044363469894525452338037693'+  number: '0.1409811069171390379163271197357548504627966337070405074478278962726237410443634698945254523380376935' - params:     d: '18'-  number: '0.082145886611128228798802365523698344807837460797753123116928891170234267068764198108258283483716515'+  number: '0.08214588661112822879880236552369834480783746079775312311692889117023426706876419810825828348371651556' - params:     d: '19'-  number: '0.046621601030088545779803085816632485876086824402706693598831339165017410436411530773325379344769062'+  number: '0.04662160103008854577980308581663248587608682440270669359883133916501741043641153077332537934476906245' - params:     d: '20'-  number: '0.025806891390014060012598294252898849657186441048146685991802372517966889335947755855548738253236505'+  number: '0.02580689139001406001259829425289884965718644104814668599180237251796688933594775585554873825323650511' - params:     d: '21'-  number: '0.013949150409021001182393596596658070607480202773749191680631115306468376284361022900725628222461605'+  number: '0.01394915040902100118239359659665807060748020277374919168063111530646837628436102290072562822246160526' - params:     d: '22'-  number: '0.007370430945714350777259089957290781501211638236020997449899842713817490175822097957286936350251086'+  number: '0.007370430945714350777259089957290781501211638236020997449899842713817490175822097957286936350251086161' - params:     d: '23'-  number: '0.003810656386852124941813133813806668206723031647076551018519236056639675412514579872689843125618927'+  number: '0.003810656386852124941813133813806668206723031647076551018519236056639675412514579872689843125618927765' - params:     d: '24'-  number: '0.001929574309403923047903345563685957640168471815000303352234647617331495634250985531487347698186143'+  number: '0.001929574309403923047903345563685957640168471815000303352234647617331495634250985531487347698186143913' - params:     d: '25'-  number: '0.000957722408823172870856645123864187347060058015297109468713040690251770855198761683117040099744888'+  number: '0.0009577224088231728708566451238641873470600580152971094687130406902517708551987616831170400997448888198' - params:     d: '26'-  number: '0.000466302805767612564420628914470271743828199813615992677156303573253963574686959099690143495810524'+  number: '0.0004663028057676125644206289144702717438281998136159926771563035732539635746869590996901434958105247278' - params:     d: '27'-  number: '0.000222872124721274108761497553315322253485443508293189643590920205032432452220498538151775303567479'+  number: '0.0002228721247212741087614975533153222534854435082931896435909202050324324522204985381517753035674798942' - params:     d: '28'-  number: '0.000104638104924845707118016728352239327610297331490913213185277120771435157054601432150878185997349'+  number: '0.0001046381049248457071180167283522393276102973314909132131852771207714351570546014321508781859973491700' - params:     d: '29'-  number: '0.000048287822738917440350803728323078729861425590050427913387329514466446288651999339748209910625442'+  number: '0.00004828782273891744035080372832307872986142559005042791338732951446644628865199933974820991062544276407' - params:     d: '30'-  number: '0.000021915353447830215827384652057094188859248708765955780311035276483809848520763456996788929566290'+  number: '0.00002191535344783021582738465205709418885924870876595578031103527648380984852076345699678892956629057534' - params:     d: '31' 

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