{"text_format":"1","workbook":"xlsx","n_sheets":3,"sheets":["FourierTransform","Aufgabe1","Sheet2"],"not_rendered":{"charts":1,"images":0,"macros":1,"external_links":0,"defined_names":0,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"FourierTransform","index":0,"n_rows":110,"n_cols":5,"rows_kept":110,"cut":false,"hidden":false,"merged":[]}
["alpha",2]
["dx",2E-3]
["calc time, vba",2.375]
["calc time, excel",39.5546875]
["factor excel/vba",{"$f":"B4/B3","v":16.654605263157894}]
[]
[]
[]
["k","FT, exakt","FT, numeric, real part","FT, numeric, im-part","original function"]
[-5,1.3650372104962324E-3,1.3650372221385664E-3,3.6170530633977595E-17,1.3887943864964021E-11]
[-4.9000000000000004,1.7483660895778364E-3,1.7483661044896575E-3,5.9886224091980767E-17,3.7375713279442431E-11]
[-4.8000000000000007,2.2281723795356417E-3,2.2281723985398188E-3,-5.0630115925064138E-17,9.8595055759914462E-11]
[-4.7000000000000011,2.8254896830288249E-3,2.8254897071273259E-3,3.0332188456109844E-17,2.5493818803919421E-10]
[-4.6000000000000014,3.5650628687443268E-3,3.5650628991508847E-3,-4.5731398641919406E-17,6.4614317731060164E-10]
[-4.5000000000000018,4.4757847017562616E-3,4.4757847399302794E-3,-5.7368165508578348E-17,1.6052280551855889E-9]
[-4.4000000000000021,5.5911315390902629E-3,5.5911315867770506E-3,-3.4541985257763456E-18,3.9089384342647945E-9]
[-4.3000000000000025,6.9495832149195453E-3,6.9495832741927471E-3,-4.2660590073422518E-17,9.3302875745048068E-9]
[-4.2000000000000028,8.595009023614571E-3,8.5950090969218133E-3,-2.2913038037395885E-17,2.1829577951254235E-8]
[-4.1000000000000032,1.0576998480680078E-2,1.0576998570891965E-2,1.8037770983313076E-17,5.0062180207669066E-8]
[-4.0000000000000036,1.2951112459987887E-2,1.2951112570448762E-2,-3.3016476916306382E-17,1.1253517471925591E-7]
[-3.9000000000000035,1.577902756039273E-2,1.5779027694973278E-2,3.7497701347463555E-17,2.4795960180449616E-7]
[-3.8000000000000034,1.9128544362816306E-2,1.9128544525965064E-2,1.0576344213453552E-16,5.3553478027929657E-7]
[-3.7000000000000033,2.3073428837820216E-2,2.307342903461522E-2,1.9323175172039036E-17,1.1337271387479379E-6]
[-3.6000000000000032,2.7693055802172198E-2,2.7693056038368372E-2,-1.9380374909504562E-16,2.3525752000097209E-6]
[-3.5000000000000031,3.3071824248012548E-2,3.3071824530084726E-2,-8.0078921723622161E-17,4.7851173921289071E-6]
[-3.400000000000003,3.9298316810244802E-2,3.9298317145423298E-2,-1.9995116151619383E-16,9.5401628730790443E-6]
[-3.3000000000000029,4.6464179792787878E-2,4.6464180189084596E-2,-4.8109727674118193E-17,1.8643742331516455E-5]
[-3.2000000000000028,5.466270618532295E-2,5.466270665154558E-2,-3.9147460935922376E-16,3.5712849641634575E-5]
[-3.1000000000000028,6.3987112039745969E-2,6.3987112585497205E-2,2.8581959805067902E-17,6.7054824302809941E-5]
[-3.0000000000000027,7.4528506419497695E-2,7.4528507055157775E-2,-1.370314369338999E-16,1.2340980408667758E-4]
[-2.9000000000000026,8.6373566758203679E-2,8.6373567494891348E-2,-1.4551738315775424E-16,2.2262985691888582E-4]
[-2.8000000000000025,9.9601944620499622E-2,9.9601945470013456E-2,1.3793790762867178E-16,3.9366904065507265E-4]
[-2.7000000000000024,0.11428344117569714,0.11428344215043054,-4.7724228097136125E-17,6.8232805275636747E-4]
[-2.6000000000000023,0.13047500667675616,0.13047500778958973,2.0448101825338881E-17,1.1592291739045771E-3]
[-2.5000000000000022,0.1482176332684596,0.14821763453261982,-1.1317363089716104E-16,1.9304541362276887E-3]
[-2.4000000000000021,0.16753322481545774,0.16753322624436154,-3.1935735275274961E-16,3.1511115984444076E-3]
[-2.300000000000002,0.18842154035517888,0.18842154196224106,-3.5372286868833266E-16,5.0417602596909295E-3]
[-2.200000000000002,0.21085731841625266,0.21085732021467127,2.0497898803676696E-16,7.9070540515933721E-3]
[-2.1000000000000019,0.23478769697801966,0.23478769898054203,-2.3116366300321775E-16,1.2155178329914838E-2]
[-2.0000000000000018,0.26013004751144397,0.26013004973011283,5.7181772494361334E-17,1.831563888873405E-2]
[-1.9000000000000017,0.28677034067102752,0.28677034311691546,-1.8527216929373801E-17,2.7051846866350236E-2]
[-1.8000000000000016,0.31456215529177545,0.314562157974701,3.6045096290020703E-16,3.9163895098986858E-2]
[-1.7000000000000015,0.34332643107971084,0.34332643400797036,-1.2481688566666422E-16,5.5576212611482788E-2]
[-1.6000000000000014,0.37285204870913174,0.37285205188921872,-7.2967757951741853E-17,7.7304740443299394E-2]
[-1.5000000000000013,0.40289729917086131,0.40289730260720452,8.6637090891984335E-17,0.10539922456186392]
[-1.4000000000000012,0.43319227766166313,0.43319228135639543,3.3674194377336716E-16,0.1408584209210445]
[-1.3000000000000012,0.46344220686658349,0.46344221081931725,1.426323184074522E-16,0.18451952399298871]
[-1.2000000000000011,0.49333166123814259,0.49333166544580648,-2.3224776220862824E-16,0.23692775868212113]
[-1.100000000000001,0.52252962913107071,0.52252963358776672,3.6209126145768174E-16,0.29819727942988672]
[-1.0000000000000009,0.55069531490318346,0.55069531960010409,-1.566326234384254E-16,0.36787944117144167]
[-0.90000000000000091,0.57748454994851328,0.57748455487392303,-1.6978479279506605E-16,0.44485806622294044]
[-0.80000000000000093,0.60255665172400608,0.60255665686326076,7.6561859824018361E-17,0.52729242404304777]
[-0.70000000000000095,0.62558154474131811,0.6255815500769546,2.0990899684138163E-17,0.61262639418441522]
[-0.60000000000000098,0.6462469386431442,0.64624694415503636,2.6974130346280737E-17,0.69767632607103025]
[-0.500000000000001,0.66426534705063267,0.66426535271620668,-6.7940774488605766E-17,0.7788007830714041]
[-0.40000000000000102,0.6793807277170274,0.6793807335115214,-1.8224538901083168E-16,0.85214378896621068]
[-0.30000000000000104,0.69137453013294448,0.69137453602973498,-3.3714619022738397E-18,0.91393118527122763]
[-0.20000000000000104,0.70007095115665063,0.70007095712760992,-7.2990849775999937E-17,0.96078943915232284]
[-0.10000000000000103,0.70534122210199868,0.70534122811791078,-4.9366002053919884E-17,0.99004983374916788]
[-1.0269562977782698E-15,0.70710678118654746,0.70710678721751685,7.2557279799058262E-32,1]
[9.9999999999998979E-2,0.70534122210199879,0.70534122811791078,6.6867319712290538E-17,0.99004983374916822]
[0.19999999999999898,0.70007095115665074,0.70007095712761003,6.2444931554949205E-17,0.96078943915232362]
[0.29999999999999899,0.6913745301329447,0.6913745360297352,8.7094390249328819E-17,0.91393118527122874]
[0.39999999999999902,0.67938072771702762,0.67938073351152173,9.055010104085512E-17,0.85214378896621201]
[0.499999999999999,0.664265347050633,0.66426535271620712,2.3314919477145625E-16,0.77880078307140566]
[0.59999999999999898,0.64624693864314453,0.64624694415503681,-3.9598123075158418E-18,0.69767632607103192]
[0.69999999999999896,0.62558154474131855,0.62558155007695482,2.4015807983060343E-17,0.612626394184417]
[0.79999999999999893,0.60255665172400652,0.60255665686326121,-5.8173173659307694E-17,0.52729242404304943]
[0.89999999999999891,0.57748454994851384,0.57748455487392336,-7.6289547829091641E-17,0.44485806622294199]
[0.99999999999999889,0.55069531490318402,0.55069531960010432,1.8253211707897354E-16,0.36787944117144311]
[1.099999999999999,0.52252962913107137,0.52252963358776716,-2.5493067327414151E-16,0.29819727942988805]
[1.1999999999999991,0.4933316612381432,0.49333166544580731,3.4437470316325212E-16,0.23692775868212229]
[1.2999999999999992,0.46344220686658416,0.46344221081931791,-2.8719250145278437E-16,0.18451952399298968]
[1.3999999999999992,0.43319227766166368,0.43319228135639587,-3.0457300438135885E-16,0.14085842092104528]
[1.4999999999999993,0.40289729917086187,0.40289730260720508,-4.1664198989419165E-17,0.10539922456186453]
[1.5999999999999994,0.3728520487091323,0.37285205188921944,-4.6419357237304668E-17,7.730474044329988E-2]
[1.6999999999999995,0.34332643107971145,0.3433264340079708,2.0548705436478686E-16,5.5576212611483163E-2]
[1.7999999999999996,0.314562155291776,0.3145621579747015,-3.3503329613672099E-16,3.9163895098987135E-2]
[1.8999999999999997,0.28677034067102802,0.2867703431169159,-4.8886852146953743E-17,2.7051846866350437E-2]
[1.9999999999999998,0.26013004751144447,0.26013004973011328,-1.4075422111609848E-16,1.8315638888734196E-2]
[2.0999999999999996,0.23478769697802024,0.23478769898054258,1.7181599629617189E-16,1.2155178329914957E-2]
[2.1999999999999997,0.21085731841625319,0.21085732021467177,-3.8541771530133996E-16,7.9070540515934484E-3]
[2.2999999999999998,0.18842154035517938,0.18842154196224159,2.3840346454856799E-16,5.0417602596909833E-3]
[2.4,0.16753322481545821,0.16753322624436215,1.6106589852587534E-16,3.1511115984444414E-3]
[2.5,0.14821763326846002,0.1482176345326201,6.4701461739348346E-17,1.9304541362277093E-3]
[2.6,0.13047500667675654,0.13047500778959004,-3.9091530444997293E-17,1.1592291739045903E-3]
[2.7,0.11428344117569748,0.11428344215043096,4.7437209685582135E-17,6.8232805275637604E-4]
[2.8000000000000003,9.9601944620499927E-2,9.960194547001372E-2,-1.5299602371246688E-16,3.9366904065507759E-4]
[2.9000000000000004,8.6373566758203943E-2,8.6373567494891515E-2,8.97992191372676E-17,2.2262985691888859E-4]
[3.0000000000000004,7.4528506419497931E-2,7.4528507055158136E-2,8.2322378876596487E-17,1.234098040866791E-4]
[3.1000000000000005,6.3987112039746205E-2,6.3987112585497385E-2,-4.4058030039566353E-17,6.705482430281089E-5]
[3.2000000000000006,5.4662706185323151E-2,5.4662706651545788E-2,4.5896632856820061E-16,3.5712849641635083E-5]
[3.3000000000000007,4.6464179792788066E-2,4.6464180189084776E-2,4.4345125303545182E-17,1.8643742331516753E-5]
[3.4000000000000008,3.929831681024494E-2,3.9298317145423332E-2,2.1065849790332474E-16,9.5401628730791798E-6]
[3.5000000000000009,3.3071824248012666E-2,3.3071824530084837E-2,9.1978122294991504E-17,4.7851173921289749E-6]
[3.600000000000001,2.7693055802172305E-2,2.7693056038368542E-2,2.1127495061355752E-16,2.3525752000097582E-6]
[3.7000000000000011,2.307342883782031E-2,2.3073429034615338E-2,4.6586496941244088E-17,1.1337271387479562E-6]
[3.8000000000000012,1.9128544362816389E-2,1.9128544525965109E-2,-3.3930905085473018E-17,5.355347802793061E-7]
[3.9000000000000012,1.5779027560392799E-2,1.5779027694973198E-2,-1.0026432074328869E-17,2.4795960180450055E-7]
[4.0000000000000009,1.2951112459987956E-2,1.2951112570448833E-2,1.3111399682521868E-16,1.1253517471925831E-7]
[4.1000000000000005,1.0576998480680133E-2,1.0576998570891913E-2,1.5186319827711339E-17,5.0062180207670131E-8]
[4.2,8.5950090236146231E-3,8.5950090969217994E-3,-3.0478656286079595E-18,2.1829577951254781E-8]
[4.3,6.9495832149195818E-3,6.9495832741927966E-3,4.4808698312330676E-19,9.3302875745050053E-9]
[4.3999999999999995,5.5911315390902924E-3,5.5911315867770549E-3,2.2614662331930855E-17,3.9089384342648781E-9]
[4.4999999999999991,4.4757847017562859E-3,4.4757847399302013E-3,2.4724208353511669E-17,1.605228055185623E-9]
[4.5999999999999988,3.5650628687443489E-3,3.5650628991509381E-3,-2.5753996961723902E-17,6.4614317731061766E-10]
[4.6999999999999984,2.8254896830288423E-3,2.8254897071273211E-3,6.4316666182985341E-17,2.5493818803920057E-10]
[4.799999999999998,2.2281723795356551E-3,2.2281723985398119E-3,2.1353935955568333E-17,9.8595055759916918E-11]
[4.8999999999999977,1.7483660895778489E-3,1.7483661044897401E-3,-5.1314205816920561E-17,3.7375713279443491E-11]
[4.9999999999999973,1.3650372104962421E-3,1.3650372221385813E-3,9.5314806911475547E-18,1.3887943864964415E-11]

{"sheet":"Aufgabe1","index":1,"n_rows":6,"n_cols":3,"rows_kept":6,"cut":false,"hidden":false,"merged":[]}
["x","i","i"]
["y",-1,-1]
["w",-3,-3]
["v","-2i","-2i"]
["u","-2+i","-2+i"]
["t","hi!","hi!"]

{"sheet":"Sheet2","index":2,"n_rows":0,"n_cols":0,"rows_kept":0,"cut":false,"hidden":false,"merged":[]}