{"text_format":"1","workbook":"xlsx","n_sheets":3,"sheets":["DFT","Example Fig. 12","SU"],"not_rendered":{"charts":21,"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":"DFT","index":0,"n_rows":277,"n_cols":16,"rows_kept":277,"cut":false,"hidden":false,"merged":[]}
["SU_3.0",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Author: Bo Svensmark, svensmark@plen.ku.dk, Analytical Chemistry, ECP, PLEN, University of Copenhagen, 2022"]
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[null,null,null,null,null,null,null,null,null,null,null,null,"This sheet is not protected so do only change WHITE cells"]
[]
["z = Ni","f(x)","F(z) Real","F(z) Imag","F(z)","Filter","F(z) ReF","F(z)ImF","F(z) filt","f(x) filt",null,null,"This sheet can be used to attenuate or amplify cyclic variations"]
[0,9.6025277314209987,1415.9174663958563,0,{"$f":"IF(C22=\"\",\"\",SQRT(C22^2+D22^2))","v":1415.9174663958563},null,{"$f":"IF($F22=\"\",C22,$F22*C22)","v":1415.9174663958563},{"$f":"IF($F22=\"\",D22,$F22*D22)","v":0},{"$f":"IF(G22=\"\",\"\",SQRT(G22^2+H22^2))","v":1415.9174663958563},8.645555458159647,"N",null,"The 'frequency scale (z)' is number of increments Ni,i.e. cycles per lot length"]
[1,9.8920678788607717,-159.26255963318496,-43.323460986609611,{"$f":"IF(C23=\"\",\"\",SQRT(C23^2+D23^2))","v":165.0499475091467},null,{"$f":"IF($F23=\"\",C23,$F23*C23)","v":-159.26255963318496},-43.323460986609611,{"$f":"IF(G23=\"\",\"\",SQRT(G23^2+H23^2))","v":165.0499475091467},9.042247052600688,128,null,"z = 0 is the mean"]
[2,7.6891424711396521,97.241794890103975,68.30206804085833,118.83239950496284,null,97.241794890103975,68.30206804085833,118.83239950496284,7.0758506090339415]
[3,9.293271681930543,-81.495517494694951,-84.040172230501014,117.06523788153513,null,-81.495517494694951,-84.040172230501014,117.06523788153513,9.0098769104801217,null,null,"Only input in the white cells, column B and F"]
[4,10.628249269493075,32.669508584756805,79.241527138699951,85.711821905982248,null,32.669508584756805,79.241527138699951,85.711821905982248,10.717895873671319]
[5,8.5495189983229629,-11.308820439216538,-58.510113881997711,59.592976483901047,null,-11.308820439216538,-58.510113881997711,59.592976483901047,8.9985590952921513,null,null,"1) Input data in cell B22 and down"]
[6,10.38383942182856,-6.2911578620157016,51.787704171525299,52.168428868447066,null,-6.2911578620157016,51.787704171525299,52.168428868447066,11.123910727383892,null,null,null,"Remember to delete old data in column B"]
[7,9.8558619055929473,24.690956719934508,-21.687098882090808,32.862951810013406,null,24.690956719934508,-21.687098882090808,32.862951810013406,10.774295272226702]
[8,7.5242176353104284,-20.415408496240431,-1.9124608891357684,20.504789945786811,4,-81.661633984961725,-7.6498435565430736,82.019159783147245,8.4811899085716078,null,null,"2) Press DFT "]
[9,9.2757153084281398,8.3151331285613992,-14.55359069859422,16.761516672661443,null,8.3151331285613992,-14.55359069859422,16.761516672661443,10.125536134688293]
[10,9.3013106546062634,5.6672997253964761,0.42406611469909539,5.6831433421228219,null,5.6672997253964761,0.42406611469909539,5.6831433421228219,9.91460251671203,null,null,"3) Enter multipliers for the frequencies that should be changed in column F"]
[11,9.193974763432216,-3.0253510545018871,20.888101527289813,21.10605444931247,null,-3.0253510545018871,20.888101527289813,21.10605444931247,9.4773695348826212,null,null,null,"Leave all other frequencies = blank"]
[12,8.6895819369362659,1.9561683780908963,5.4783785130655893,5.8171492894597012,null,1.9561683780908963,5.4783785130655893,5.8171492894597012,8.5999353327579815,null,null,null,"Multipliers > 1 will amplify this frequency"]
[13,10.057410177804007,-23.640543894282938,-27.343708159671486,36.146281849435127,null,-23.640543894282938,-27.343708159671486,36.146281849435127,9.6083700808348471,null,null,null,"(Only for positive frequencies, i.e. up to data length/2)"]
[14,12.040309430947914,3.553736175714691,20.522189916299247,20.827609554800997,null,3.553736175714691,20.522189916299247,20.827609554800997,11.30023812539252,null,null,null,"(the macro will mirror the multipliers for the negative frequencies)"]
[15,9.2590913163561392,-15.390336252497324,-16.243387346933719,22.376552068347344,null,-15.390336252497324,-16.243387346933719,22.376552068347344,8.3406579497224769]
[16,8.8080448530848159,-2.1382389412695,15.41839346906375,15.565953968094245,null,-2.1382389412695,15.41839346906375,15.565953968094245,7.8510725798235272,null,null,"4) Press Inverser DFT to get the filtered data i column J"]
[17,10.095306060928211,1.3007894286314858,-1.6296203718458839,2.0851176690955704,null,1.3007894286314858,-1.6296203718458839,2.0851176690955704,9.2454852346681857]
[18,11.399308369503331,0.3438557021587707,-1.7524695982042378,1.7858853368951837,null,0.3438557021587707,-1.7524695982042378,1.7858853368951837,10.786016507397493,null,null,"5) Press New sheet to open a new sheet with the filtered data"]
[19,10.036831498148771,-9.3867612385377157,-14.063984005943066,16.90878270807028,null,-9.3867612385377157,-14.063984005943066,16.90878270807028,9.7534367266983182]
[20,9.8530696213104445,24.217581143485685,8.7847438242693237,25.761656788711228,null,24.217581143485685,8.7847438242693237,25.761656788711228,9.942716225488839,null,null,"NOTE: If f(x) is longer than 256 points, the formulas in column E, G, H, I must be copied to the cells below for all x"]
[21,11.340683818541372,-6.5198830537925545,-9.6715511619914771,11.663952028114227,null,-6.5198830537925545,-9.6715511619914771,11.663952028114227,11.789723915510562]
[22,10.403325038215725,12.468761344605859,12.800034732621135,17.869272470502114,null,12.468761344605859,12.800034732621135,17.869272470502114,11.143396343771093]
[23,10.297832706514646,13.226424220529823,-19.0793421500289,23.215503322979824,null,13.226424220529823,-19.0793421500289,23.215503322979824,11.21626607314821]
[24,11.498725534529878,-23.40947849477363,12.43325599963509,26.506405605998921,null,-23.40947849477363,12.43325599963509,26.506405605998921,12.455697807791255]
[25,9.6533360606422125,21.889588680513238,-4.0842246155568027,22.267352409129682,null,21.889588680513238,-4.0842246155568027,22.267352409129682,10.50315688690223,null,"Sampling frequencies"]
[26,8.0610079829040746,-11.510123243387296,6.4001984392752584,13.169870050234586,null,-11.510123243387296,6.4001984392752584,13.169870050234586,8.6742998450098234,null,"Ni","DFT","DFT(filtered)"]
[27,8.1027069216611665,28.865756671704805,21.067407361339725,35.736082062233706,null,28.865756671704805,21.067407361339725,35.736082062233706,8.3861016931116197,null,1,{"$f":"IF(L49=0,NA(),VLOOKUP(L49,A22:E277,5))","v":165.0499475091467},{"$f":"IF(L49=0,NA(),VLOOKUP(L49,A22:J277,9))","v":165.0499475091467}]
[28,10.222669827514961,-12.421702123654516,-25.744376891036268,28.584464751968426,null,-12.421702123654516,-25.744376891036268,28.584464751968426,10.133023223336714,null,2,{"$f":"IF(L50=0,NA(),VLOOKUP(L50,A23:E278,5))","v":118.83239950496284},{"$f":"IF(L50=0,NA(),VLOOKUP(L50,A23:J278,9))","v":118.83239950496284}]
[29,9.5839411782718642,4.6540637287638056,12.050513881406841,12.918018191556081,null,4.6540637287638056,12.050513881406841,12.918018191556081,9.1349010813025888,null,4,85.711821905982248,85.711821905982248]
[30,10.028567621155375,10.439193837255816,-8.795141196168041,13.65032148457801,null,10.439193837255816,-8.795141196168041,13.65032148457801,9.2884963156001401,null,8,20.504789945786811,82.019159783147245]
[31,9.9648060450628897,-13.76277163735586,-2.3587303976553429,13.963434113098046,null,-13.76277163735586,-2.3587303976553429,13.963434113098046,9.0463726784292184,null,16,15.565953968094245,15.565953968094245]
[32,9.8863772401147809,4.8558762994360487,-7.5565849968677767E-2,4.8564642316304791,null,4.8558762994360487,-7.5565849968677767E-2,4.8564642316304791,8.9294049668534825,null,32,4.8564642316304791,4.8564642316304791]
[33,10.640062632999159,-16.729349553735595,3.4480617631711512,17.080991376782446,null,-16.729349553735595,3.4480617631711512,17.080991376782446,9.7902418067389689,null,64,10.312603895590266,10.312603895590266]
[34,10.891486218191098,5.1990093095882735,-10.594144321605905,11.801084344593091,null,5.1990093095882735,-10.594144321605905,11.801084344593091,10.278194356085352,null,null,{"$error":"#N/A"},{"$error":"#N/A"}]
[35,10.871250428272599,-7.0828867011990395,25.714008438302731,26.671661252856492,null,-7.0828867011990395,25.714008438302731,26.671661252856492,10.587855656822152]
[36,9.7204877805039107,31.465540541556898,-8.2778593078200355,32.536182878334444,null,31.465540541556898,-8.2778593078200355,32.536182878334444,9.8101343846821187]
[37,10.343121041468192,-14.650391447149275,15.113521600680542,21.048812430371029,null,-14.650391447149275,15.113521600680542,21.048812430371029,10.792161138437516]
[38,10.286251496242571,20.323924035427265,-17.774186656884559,26.999696285543493,null,20.323924035427265,-17.774186656884559,26.999696285543493,11.026322801797921]
[39,10.419113132636237,-11.967231844616489,-23.198196061234128,26.103082931298779,null,-11.967231844616489,-23.198196061234128,26.103082931298779,11.33754649926998]
[40,9.6111711040656242,9.6956518220501273,10.759062056945151,14.483199943369586,null,9.6956518220501273,10.759062056945151,14.483199943369586,10.568143377326846]
[41,9.3465786658715064,4.084668253226206,-14.231741291268239,14.806315372857064,null,4.084668253226206,-14.231741291268239,14.806315372857064,10.196399492131611]
[42,10.644468720793045,4.6332363140545407,0.89948606648744001,4.7197408748445877,null,4.6332363140545407,0.89948606648744001,4.7197408748445877,11.257760582898834]
[43,10.342982225158796,6.2336852799055524,-2.5380901503633142,6.7305819793151942,null,6.2336852799055524,-2.5380901503633142,6.7305819793151942,10.626376996609238]
[44,12.128474952356861,2.5393913552895802,-4.9525518176807166,5.5656336532448867,null,2.5393913552895802,-4.9525518176807166,5.5656336532448867,12.038828348178708]
[45,9.6877535764643437,-16.156078733880374,-6.4844797773447036,17.408829887104247,null,-16.156078733880374,-6.4844797773447036,17.408829887104247,9.238713479495031]
[46,10.896520375489809,9.1614919718115644,-3.5865541053545815,9.8385113457374,null,9.1614919718115644,-3.5865541053545815,9.8385113457374,10.156449069934551]
[47,12.693490287425172,-6.9043578935758614,-24.398595558724558,25.356687937520487,null,-6.9043578935758614,-24.398595558724558,25.356687937520487,11.775056920791428]
[48,10.384847879065493,13.028285704260036,17.026258402670557,21.438976271882392,null,13.028285704260036,17.026258402670557,21.438976271882392,9.4278756058042728]
[49,4.7810508332630128,-15.44698864704635,-14.579461564071185,21.240766411789565,null,-15.44698864704635,-14.579461564071185,21.240766411789565,3.9312300070030233]
[50,16.678287311695268,9.3867944742713707,8.4976207034385105,12.661811407603508,null,9.3867944742713707,8.4976207034385105,12.661811407603508,16.064995449589386]
[51,14.504292839585123,-28.02930327363617,-4.2178412642965695,28.344876555319026,null,-28.02930327363617,-4.2178412642965695,28.344876555319026,14.220898068134831]
[52,21.084552050946598,7.7233906841310969,7.077101547528005,10.475501418726758,null,7.7233906841310969,7.077101547528005,10.475501418726758,21.174198655124751]
[53,14.979012191589284,-23.535299824293972,-25.159696514002626,34.45171500079681,null,-23.535299824293972,-25.159696514002626,34.45171500079681,15.428052288558511]
[54,21.003711699950298,26.181344804822441,29.071430497762019,39.123022467278915,null,26.181344804822441,29.071430497762019,39.123022467278915,21.743783005505819]
[55,15.841455006566365,-4.4157862399949286,-30.978419412782426,31.291558565076038,null,-4.4157862399949286,-30.978419412782426,31.291558565076038,16.75988837319996]
[56,23.576824209940973,8.997631948731744,30.960453497145444,32.24138739933106,null,8.997631948731744,30.960453497145444,32.24138739933106,24.533796483202234]
[57,25.129270100865398,17.333581346345575,-27.875911966710813,32.825592306403095,null,17.333581346345575,-27.875911966710813,32.825592306403095,25.979090927125529]
[58,17.003059779617569,-24.874610610168808,40.142906988913317,47.224985278219712,null,-24.874610610168808,40.142906988913317,47.224985278219712,17.61635164172333]
[59,18.996138459527412,26.095979145409146,-19.516794762621451,32.586890084264212,null,26.095979145409146,-19.516794762621451,32.586890084264212,19.279533230977794]
[60,14.24029213587565,-32.293071085637692,2.9655366356798125,32.428950764395822,null,-32.293071085637692,2.9655366356798125,32.428950764395822,14.150645531697503]
[61,28.97219247122365,17.74059936359361,4.8090714435570838,18.380860532868809,null,17.74059936359361,4.8090714435570838,18.380860532868809,28.523152374254259]
[62,15.326449540369335,-5.7473456882884726,-8.9263413625835515,10.616569718230934,null,-5.7473456882884726,-8.9263413625835515,10.616569718230934,14.58637823481396]
[63,19.48895592254927,-6.9225999462757848,11.94392867815389,13.805065095283124,null,-6.9225999462757848,11.94392867815389,13.805065095283124,18.570522555915527]
[64,19.015077507556772,10.312603895590266,-5.4792427822740389E-13,10.312603895590266,null,10.312603895590266,-5.4792427822740389E-13,10.312603895590266,18.058105234295482]
[65,12.321969151715791,-6.9225999462757848,-11.94392867815389,{"$f":"IF(C87=\"\",\"\",SQRT(C87^2+D87^2))","v":13.805065095283124},null,{"$f":"IF($F87=\"\",C87,$F87*C87)","v":-6.9225999462757848},-11.94392867815389,{"$f":"IF(G87=\"\",\"\",SQRT(G87^2+H87^2))","v":13.805065095283124},11.472148325455613]
[66,13.907237285329844,-5.7473456882884726,8.9263413625835515,10.616569718230934,null,-5.7473456882884726,8.9263413625835515,10.616569718230934,13.293945423223947]
[67,10.460082522628376,17.74059936359361,-4.8090714435570838,18.380860532868809,null,17.74059936359361,-4.8090714435570838,18.380860532868809,10.176687751177798]
[68,12.539871219090619,-32.293071085637692,-2.9655366356798125,32.428950764395822,null,-32.293071085637692,-2.9655366356798125,32.428950764395822,12.62951782326906]
[69,11.667258913102845,26.095979145409146,19.516794762621451,32.586890084264212,null,26.095979145409146,19.516794762621451,32.586890084264212,12.116299010072094]
[70,10.750182308795358,-24.874610610168808,-40.142906988913317,47.224985278219712,null,-24.874610610168808,-40.142906988913317,47.224985278219712,11.490253614350493]
[71,12.764024124189765,17.333581346345575,27.875911966710813,32.825592306403095,null,17.333581346345575,27.875911966710813,32.825592306403095,13.682457490823586]
[72,12.844187294154027,8.997631948731744,-30.960453497145444,32.24138739933106,null,8.997631948731744,-30.960453497145444,32.24138739933106,13.801159567415185]
[73,8.555514694042639,-4.4157862399949286,30.978419412782426,31.291558565076038,null,-4.4157862399949286,30.978419412782426,31.291558565076038,9.4053355203026463]
[74,10.015186500926767,26.181344804822441,-29.071430497762019,39.123022467278915,null,26.181344804822441,-29.071430497762019,39.123022467278915,10.628478363032425]
[75,10.012617635078978,-23.535299824293972,25.159696514002626,34.45171500079681,null,-23.535299824293972,25.159696514002626,34.45171500079681,10.296012406529403]
[76,10.935205809488201,7.7233906841310969,-7.077101547528005,10.475501418726758,null,7.7233906841310969,-7.077101547528005,10.475501418726758,10.845559205309897]
[77,9.131904630572409,-28.02930327363617,4.2178412642965695,28.344876555319026,null,-28.02930327363617,4.2178412642965695,28.344876555319026,8.6828645336030306]
[78,9.4115515982694014,9.3867944742713707,-8.4976207034385105,12.661811407603508,null,9.3867944742713707,-8.4976207034385105,12.661811407603508,8.6714802927139676]
[79,10.687368036085784,-15.44698864704635,14.579461564071185,21.240766411789565,null,-15.44698864704635,14.579461564071185,21.240766411789565,9.7689346694522641]
[80,10.274828617954551,13.028285704260036,-17.026258402670557,21.438976271882392,null,13.028285704260036,-17.026258402670557,21.438976271882392,9.3178563446931406]
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[216,null,48.435162286971199,-17.569487648538363,51.523313577422201,null,48.435162286971199,-17.569487648538363,51.523313577422201]
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[220,null,0.68771140431650934,3.5049391964094365,3.5717706737911117,null,0.68771140431650934,3.5049391964094365,3.5717706737911117]
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[222,null,2.6015788572640592,3.2592407436937245,4.1702353381933488,null,2.6015788572640592,3.2592407436937245,4.1702353381933488]
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[224,null,-8.5529557650805206,-61.673573876255404,62.263815872377734,null,-8.5529557650805206,-61.673573876255404,62.263815872377734]
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[228,null,7.1074723514287648,-41.044379832599731,41.655219109603109,null,7.1074723514287648,-41.044379832599731,41.655219109603109]
[229,null,6.8389738316909643E-14,6.5902838741749292E-13,6.6256740919634473E-13,null,6.8389738316909643E-14,6.5902838741749292E-13,6.6256740919634473E-13]
[230,null,-47.281087788563774,54.687416319342688,72.292563698868662,null,-47.281087788563774,54.687416319342688,72.292563698868662]
[231,null,-2.2382096176443156E-13,-8.9706020389712648E-14,2.4112858192117057E-13,null,-2.2382096176443156E-13,-8.9706020389712648E-14,2.4112858192117057E-13]
[232,null,3.91233675618026,-10.956757026132285,11.634298578919928,null,3.91233675618026,-10.956757026132285,11.634298578919928]
[233,null,-5.4534154969587689E-13,7.1054273576010019E-14,5.4995101201662953E-13,null,-5.4534154969587689E-13,7.1054273576010019E-14,5.4995101201662953E-13]
[234,null,-6.0507021090029918,-41.776203054579646,42.212108898624848,null,-6.0507021090029918,-41.776203054579646,42.212108898624848]
[235,null,2.6734170432973769E-13,9.50350909079134E-14,2.8373095597379618E-13,null,2.6734170432973769E-13,9.50350909079134E-14,2.8373095597379618E-13]
[236,null,11.334599450791332,-0.84813222939654231,11.366286684243907,null,11.334599450791332,-0.84813222939654231,11.366286684243907]
[237,null,-1.8118839761882555E-13,-4.3742787170231168E-13,4.734684555212646E-13,null,-1.8118839761882555E-13,-4.3742787170231168E-13,4.734684555212646E-13]
[238,null,16.63026625712406,29.107181397188924,33.523033345323931,null,16.63026625712406,29.107181397188924,33.523033345323931]
[239,null,3.4283687000424834E-13,-2.3225865675158275E-13,4.1410288947356961E-13,null,3.4283687000424834E-13,-2.3225865675158275E-13,4.1410288947356961E-13]
[240,null,-40.830816992482269,3.8249217782726164,41.009579891575129,null,-40.830816992482269,3.8249217782726164,41.009579891575129]
[241,null,-4.858335955759685E-13,2.2781776465308212E-13,5.365959527258856E-13,null,-4.858335955759685E-13,2.2781776465308212E-13,5.365959527258856E-13]
[242,null,49.381913439868043,43.374197764181417,65.725903620025946,null,49.381913439868043,43.374197764181417,65.725903620025946]
[243,null,2.0961010704922955E-13,-3.0953017926549364E-13,3.7382526513508701E-13,null,2.0961010704922955E-13,-3.0953017926549364E-13,3.7382526513508701E-13]
[244,null,-12.582315724030908,-103.57540834305127,104.33685773689473,null,-12.582315724030908,-103.57540834305127,104.33685773689473]
[245,null,-3.4994229736184934E-13,-2.4380497620768438E-13,4.2649792251137463E-13,null,-3.4994229736184934E-13,-2.4380497620768438E-13,4.2649792251137463E-13]
[246,null,-22.617640878431231,117.02022776399653,119.18595296780282,null,-22.617640878431231,117.02022776399653,119.18595296780282]
[247,null,1.2434497875801753E-14,1.645350522494482E-13,1.6500424284287956E-13,null,1.2434497875801753E-14,1.645350522494482E-13,1.6500424284287956E-13]
[248,null,65.339017169511209,-158.48305427739905,171.42364381196282,null,65.339017169511209,-158.48305427739905,171.42364381196282]
[249,null,1.0658141036401503E-14,-1.0480505352461478E-13,1.0534559893345898E-13,null,1.0658141036401503E-14,-1.0480505352461478E-13,1.0534559893345898E-13]
[250,null,-162.99103498938931,168.08034446100464,234.1304757630717,null,-162.99103498938931,168.08034446100464,234.1304757630717]
[251,null,-2.2737367544323206E-13,2.8355096048926498E-13,3.6345554814715506E-13,null,-2.2737367544323206E-13,2.8355096048926498E-13,3.6345554814715506E-13]
[252,null,194.48358978020431,-136.60413608171766,237.66479900992329,null,194.48358978020431,-136.60413608171766,237.66479900992329]
[253,null,-1.971756091734278E-13,3.1641356201816961E-14,1.9969826307507685E-13,null,-1.971756091734278E-13,3.1641356201816961E-14,1.9969826307507685E-13]
[254,null,-318.52511926636947,86.646921973223144,330.09989501829398,null,-318.52511926636947,86.646921973223144,330.09989501829398]
[255,null,-2.9132252166164108E-13,1.216249323476859E-13,3.1569199514063786E-13,null,-2.9132252166164108E-13,1.216249323476859E-13,3.1569199514063786E-13]

{"sheet":"Example Fig. 12","index":1,"n_rows":135,"n_cols":41,"rows_kept":135,"cut":false,"hidden":false,"merged":[]}
[{"$f":"DFT!A1","v":"SU_3.0"},null,"Run at:",{"$f":"IF(AD23<>\"\",AD23,\"Please update SU\")","v":"2022-02-07T14:37:44"},null,"Runtime:",{"$f":"AE23","v":27},"s","Nr:",{"$f":"AF23","v":128},"Mean:",{"$f":"AG23","v":11.061855206217627},"RSD %",{"$f":"AH23","v":31.376146830979867},null,{"$f":"DFT!P1","v":"Author: Bo Svensmark, svensmark@plen.ku.dk, Analytical Chemistry, ECP, PLEN, University of Copenhagen, 2022"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Manual:"]
[]
["Title:",null,"Example of calculation of SU for Fig. S14: Graph with Ratio = PS in: Extensions to the Theory of Sampling 2, Supplements, Proceedings WCSB10",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Table 3 ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Do only enter values in the WHITE cells!"]
["Comments:",null,"SU for the whole range 1-128",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Monte Carlo",null,4000]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Table 2",null,null,null,"N",null,{"$f":"AE16","v":128},null,null,"Table 1",null,null,null,null,"INPUT/OUTPUT for Macros - don't change!",null,null,null,null,null,null,null,null,null,"1) Enter the input data, x and f(x), in Table 1 "]
[null,null,"To make your own SU estimates, start with the next Sheet SU",null,null,null,null,null,"Manual for use in cell AM1",null,null,null,null,null,null,"Number of","Ratio",null,null,null,null,null,null,null,"INPUT",null,null,null,null,"Number of","Ratio",null,null,null,null,null,null,null,null,null,"Max x = 1280"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"increments",0,2,4,8,16,32,null,null,"x","f(x)","Variogram","DFT",null,"increments",{"$f":"IF(Q7<>\"\",Q7,\"\")","v":0},2,4,8,16,32]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,{"$f":"IF(P8>0,IF(MOD($AE$16,$P8)=0,1,\"\"),\"\")","v":1},{"$f":"IF($P8*R$7>0,IF(MOD($AE$16,$P8*R$7)=0,$AE$16/($P8*R$7),\"\"),\"\")","v":64},{"$f":"IF($P8*S$7>0,IF(MOD($AE$16,$P8*S$7)=0,$AE$16/($P8*S$7),\"\"),\"\")","v":32},16,8,4,null,null,1,9.6025277314209987,4.5750216533160994,165.04994750914668,null,{"$f":"IF(P8<>\"\",P8,\"\")","v":1},{"$f":"IF(Q8<>\"\",$AD8,\"\")","v":1},{"$f":"IF(R8<>\"\",$AD8,\"\")","v":1},1,1,1,1,null,null,null,"2) Enter Ratios and number of increments (Ni) in Table 2"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,{"$f":"IF(P9>0,IF(MOD($AE$16,$P9)=0,1,\"\"),\"\")","v":1},{"$f":"IF($P9*R$7>0,IF(MOD($AE$16,$P9*R$7)=0,$AE$16/($P9*R$7),\"\"),\"\")","v":32},16,8,4,2,null,null,2,9.8920678788607717,3.6734418482908979,118.83239950496282,null,{"$f":"IF(P9<>\"\",P9,\"\")","v":2},{"$f":"IF(Q9<>\"\",$AD9,\"\")","v":2},2,2,2,2,2,null,null,null,null,"Ratio = 0 means Point selection, results marked PS"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,1,16,8,4,2,1,null,null,3,7.6891424711396521,4.9654779266947342,117.06523788153505,null,4,4,4,4,4,4,4]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,1,8,4,2,1,"",null,null,4,9.293271681930543,4.8750823978692672,85.711821905982248,null,8,8,8,8,8,8,"",null,null,null,"3) Enter number of runs for Monte Carlo simulation in Table 3"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16,1,4,2,1,"","",null,null,5,10.628249269493075,5.3371404503884783,59.592976483901047,null,16,16,16,16,16,"","",null,null,null,null,"MC = 4000 is a reasonable number"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,32,1,2,1,"","","",null,null,6,8.5495189983229629,7.0422306171377675,52.168428868447073,null,32,32,32,32,"","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,64,1,1,"","","","",null,null,7,10.38383942182856,6.4969230063189931,32.862951810013428,null,64,64,64,"","","","",null,null,null,"4) Press the button UPDATE SU"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","","","","","",null,null,8,9.8558619055929473,8.8188093662811369,20.504789945786833,null,"","","","","","","",null,null,null,null,"The progress can be seen in the lower left corner of the screen"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,7.5242176353104284,8.4171118031173879,16.761516672661415,null,"imx",{"$f":"COUNT(Z8:Z647)","v":128},null,null,null,null,null,null,null,null,null,"If it takes too ling time press ESC and the End"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"In % of RSD(aL)?",null,null,null,10,9.2757153084281398,9.5623206918656454,5.6831433421228335,null,"Runs",{"$f":"COUNT(AE8:AJ15)","v":32}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Y/N","n",null,null,11,9.3013106546062634,9.8512444613486956,21.106054449312463,null,null,null,null,null,null,null,null,null,null,null,"5) Analyse the results"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Divisor",{"$f":"IF(V18=\"Y\",N1/100,1)","v":1},null,null,12,9.193974763432216,11.951147402708733,5.8171492894597119,null,null,null,null,null,null,null,null,null,null,null,null,"Results can be shown as RSD % or in % of RSD(aL) (Cell V18)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(L1<>0,IF(AVERAGE(Z8:Z263)<>L1,\"New data: Please Update SU\",\"\"),\"\")","v":""},null,null,null,null,null,null,null,null,13,8.6895819369362659,11.884692183730765,36.146281849435077]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14,10.057410177804007,12.336657717025922,20.827609554801011,null,null,null,null,null,null,null,null,null,null,null,"6) Save the sheet and/or change input and try again - or open a new sheet"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15,12.040309430947914,13.20580243736862,22.376552068347333]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Table 4","Relative standard deviation of sampling",null,null,null,null,null,null,null,16,9.2590913163561392,13.7388369683554,15.565953968094249,null,"2022-02-07T14:37:44",27,128,11.061855206217627,31.376146830979867,null,null,null,null,null,"7) To create a new sheet press the NEW SHEET button"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","j","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni",null,17,8.8080448530848159,13.712132941530424,2.0851176690955722,null,32,32,null,null,null,null,null,null,null,null,null,"The new sheet will contain a copy of data in Table 1 to 3"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AD25<>\"\",AD25,\"\")","v":"PS"},128,1,{"$f":"IF(AG25<>\"\",AG25/$V$19,\"\")","v":31.499432755144849},31.499432755144849,31.499432755144849,{"$f":"IF(R25<>\"\",S$25/SQRT(R25),\"\")","v":31.499432755144849},{"$f":"IF(R25<>\"\",S$25/R25,\"\")","v":31.499432755144849},null,18,10.095306060928211,13.936521834652012,1.7858853368951813,null,"PS",128,1,31.499432755144849,31.499432755144849,31.499432755144849]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"PS",64,2,19.589654210479953,20.556784569365607,22.194271890045652,22.273462504692574,15.749716377572424,null,19,11.399308369503331,14.086080713841856,16.908782708070284,null,"PS",64,2,19.589654210479953,20.556784569365607,22.194271890045652,null,null,null,null,"8) To make a Discrete Fourier Analysis of the data press DFT"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"PS",32,4,12.313211968908327,13.283782801080942,15.197246210345799,15.749716377572424,7.8748581887862121,null,20,10.036831498148771,14.625644566022926,25.761656788711228,null,"PS",32,4,12.313211968908327,13.283782801080942,15.197246210345799,null,null,null,null,null,"The cyclic components of the data can be analysed"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"PS",16,8,5.9803916961508392,7.9025157276607008,11.012118767666216,11.136731252346287,3.9374290943931061,null,21,9.8530696213104445,15.045423873076839,11.663952028114233,null,"PS",16,8,5.9803916961508392,7.9025157276607008,11.012118767666216,null,null,null,null,null,"DFT-filtering can be used to attenuate or amplify cyclic variations"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"PS",8,16,3.1853045478409832,4.8588345809275344,7.6852760778321292,7.8748581887862121,1.968714547196553,null,22,11.340683818541372,15.008787633547634,17.869272470502114,null,"PS",8,16,3.1853045478409832,4.8588345809275344,7.6852760778321292]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"PS",4,32,1.1667657895449617,3.3127699789735185,5.5637708683452667,5.5683656261731436,0.98435727359827652,null,23,10.403325038215725,15.851562466084037,23.21550332297981,null,"PS",4,32,1.1667657895449617,3.3127699789735185,5.5637708683452667,null,null,null,null,"9) Troubleshooting"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"PS",2,64,1.4566673750893355,2.4386223863814545,3.9431713840059368,3.9374290943931061,0.49217863679913826,null,24,10.297832706514646,15.372129839073619,26.506405605998921,null,"PS",2,64,1.4566673750893355,2.4386223863814545,3.9431713840059368,null,null,null,null,null,"If you get a runtime error in the macros:"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,25,11.498725534529878,16.308964988905092,22.267352409129693,null,null,null,null,null,null,null,null,null,null,null,null,"Press Debug in the pop up window"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,26,9.6533360606422125,15.77702479873866,13.169870050234572,null,null,null,null,null,null,null,null,null,null,null,null,"Look at the code and try to understand the problem"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","j","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni",null,27,8.0610079829040746,16.166971889310613,35.736082062233734,null,null,null,null,null,null,null,null,null,null,null,null,"Press the reset button (blue square in the tools) and try to fix the"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AD35<>\"\",AD35,\"\")","v":2},{"$f":"IF(AE35<>\"\",AE35,\"\")","v":128},1,{"$f":"IF(AG35<>\"\",AG35/$V$19,\"\")","v":10.864694950840043},10.864694950840043,10.864694950840043,{"$f":"IF(R35<>\"\",S$35/SQRT(R35),\"\")","v":10.864694950840043},{"$f":"IF(R35<>\"\",S$35/R35,\"\")","v":10.864694950840043},null,28,8.1027069216611665,16.160611241960499,28.584464751968437,null,2,128,1,10.864694950840043,10.864694950840043,10.864694950840043,null,null,null,null,null,"error or go to the spreadsheet and fix the error"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AD36<>\"\",AD36,\"\")","v":2},64,2,7.7083115742619741,9.4112467756612173,9.099645466869454,{"$f":"IF(R36<>\"\",S$35/SQRT(R36),\"\")","v":7.6824994752622375},{"$f":"IF(R36<>\"\",S$35/R36,\"\")","v":5.4323474754200216},null,29,10.222669827514961,16.397505562427348,12.918018191556076,null,2,64,2,7.7083115742619741,9.4112467756612173,9.099645466869454]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,32,4,5.5765487612771283,7.1307195793287477,7.2512461737691876,5.4323474754200216,2.7161737377100108,null,30,9.5839411782718642,17.184800604939582,13.65032148457801,null,2,32,4,5.5765487612771283,7.1307195793287477,7.2512461737691876]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,16,8,1.5637462362209371,4.1755277754077786,5.0299866896943373,3.8412497376311188,1.3580868688550054,null,31,10.028567621155375,16.824700603136048,13.963434113098046,null,2,16,8,1.5637462362209371,4.1755277754077786,5.0299866896943373]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,8,16,1.2500672279349276,2.156018491957056,3.8328337410791327,2.7161737377100108,0.6790434344275027,null,32,9.9648060450628897,16.957556822241141,4.8564642316304791,null,2,8,16,1.2500672279349276,2.156018491957056,3.8328337410791327]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,4,32,0.39605146457846013,1.5516861890543971,3.029391551249133,1.9206248688155594,0.33952171721375135,null,33,9.8863772401147809,16.676253037726358,17.080991376782453,null,2,4,32,0.39605146457846013,1.5516861890543971,3.029391551249133]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,2,64,1.0300193788588774,1.7026134005911915,2.7655808952630738,1.3580868688550054,0.16976085860687568,null,34,10.640062632999159,17.724732728300093,11.801084344593093,null,2,2,64,1.0300193788588774,1.7026134005911915,2.7655808952630738]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"R15","v":""},{"$f":"AF15","v":""},null,"","","","","",null,35,10.891486218191098,17.85304532480237,26.671661252856509]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,36,10.871250428272599,17.772561470810036,32.536182878334429]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","j","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni",null,37,9.7204877805039107,17.817302932009824,21.048812430371033]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AD45<>\"\",AD45,\"\")","v":4},{"$f":"IF(AE45<>\"\",AE45,\"\")","v":128},1,{"$f":"IF(AG45<>\"\",AG45/$V$19,\"\")","v":17.176536358581686},17.176536358581686,17.176536358581686,{"$f":"IF(R45<>\"\",S$45/SQRT(R45),\"\")","v":17.176536358581686},{"$f":"IF(R45<>\"\",S$45/R45,\"\")","v":17.176536358581686},null,38,10.343121041468192,17.475298336135292,26.999696285543482,null,4,128,1,17.176536358581686,17.176536358581686,17.176536358581686]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AD46<>\"\",AD46,\"\")","v":4},64,2,12.224582338080038,13.809472729633521,13.907233469597108,{"$f":"IF(R46<>\"\",S$45/SQRT(R46),\"\")","v":12.145645336450396},{"$f":"IF(R46<>\"\",S$45/R46,\"\")","v":8.5882681792908429},null,39,10.286251496242571,18.433800990459002,26.103082931298772,null,4,64,2,12.224582338080038,13.809472729633521,13.907233469597108]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,32,4,8.0350615272083434,9.2690737991287051,10.26783922888713,8.5882681792908429,4.2941340896454214,null,40,10.419113132636237,18.22966108213657,14.483199943369589,null,4,32,4,8.0350615272083434,9.2690737991287051,10.26783922888713]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,16,8,2.5197410155258764,5.2355684165979772,7.7389645166293413,6.0728226682251982,2.1470670448227107,null,41,9.6111711040656242,18.853704316014952,14.806315372857076,null,4,16,8,2.5197410155258764,5.2355684165979772,7.7389645166293413]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,8,16,1.8054874140703523,3.085811559452682,5.8067572027907479,4.2941340896454214,1.0735335224113554,null,42,9.3465786658715064,19.06555528328041,4.7197408748445815,null,4,8,16,1.8054874140703523,3.085811559452682,5.8067572027907479]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,4,32,1.0104488140125447,2.8778660117368604,4.7813730064472812,3.0364113341125991,0.53676676120567768,null,43,10.644468720793045,19.199035241497771,6.7305819793151986,null,4,4,32,1.0104488140125447,2.8778660117368604,4.7813730064472812]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,44,10.342982225158796,20.230715936339603,5.5656336532448938]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","","","","",null,45,12.128474952356861,20.406300908219624,17.40882988710425]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,46,9.6877535764643437,20.243418694525001,9.8385113457373805]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","j","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni",null,47,10.896520375489809,20.697012107547241,25.356687937520487]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AD55<>\"\",AD55,\"\")","v":8},{"$f":"IF(AE55<>\"\",AE55,\"\")","v":128},1,{"$f":"IF(AG55<>\"\",AG55/$V$19,\"\")","v":22.419407328258718},22.419407328258718,22.419407328258718,{"$f":"IF(R55<>\"\",S$55/SQRT(R55),\"\")","v":22.419407328258718},{"$f":"IF(R55<>\"\",S$55/R55,\"\")","v":22.419407328258718},null,48,12.693490287425172,21.109341628129094,21.438976271882385,null,8,128,1,22.419407328258718,22.419407328258718,22.419407328258718]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AD56<>\"\",AD56,\"\")","v":8},64,2,14.75584391636407,16.368506185865602,16.840138771453759,{"$f":"IF(R56<>\"\",S$55/SQRT(R56),\"\")","v":15.852914951995116},{"$f":"IF(R56<>\"\",S$55/R56,\"\")","v":11.209703664129359},null,49,10.384847879065493,22.003009101064077,21.240766411789561,null,8,64,2,14.75584391636407,16.368506185865602,16.840138771453759]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,32,4,8.9791872931280849,10.332811391257977,12.057348144068479,11.209703664129359,5.6048518320646794,null,50,4.7810508332630128,22.001829215871624,12.661811407603524,null,8,32,4,8.9791872931280849,10.332811391257977,12.057348144068479]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,16,8,3.6911738744554765,5.9207290522550871,9.2334938519378191,7.9264574759975579,2.8024259160323397,null,51,16.678287311695268,21.661324554056232,28.344876555319015,null,8,16,8,3.6911738744554765,5.9207290522550871,9.2334938519378191]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,8,16,2.9795795726384608,4.5728410466196943,7.4764288104302814,5.6048518320646794,1.4012129580161699,null,52,14.504292839585123,22.664741928127,10.475501418726751,null,8,8,16,2.9795795726384608,4.5728410466196943,7.4764288104302814]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,53,21.084552050946598,21.702930758487163,34.451715000796803]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,54,14.979012191589284,22.668846677015647,39.123022467278929]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","","","","",null,55,21.003711699950298,21.313525245224433,31.291558565076045]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,56,15.841455006566365,21.965063983011916,32.241387399331039]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","j","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni",null,57,23.576824209940973,20.090012468364986,32.825592306403109]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AD65<>\"\",AD65,\"\")","v":16},{"$f":"IF(AE65<>\"\",AE65,\"\")","v":128},1,{"$f":"IF(AG65<>\"\",AG65/$V$19,\"\")","v":25.394185562985239},25.394185562985239,25.394185562985239,{"$f":"IF(R65<>\"\",S$65/SQRT(R65),\"\")","v":25.394185562985239},{"$f":"IF(R65<>\"\",S$65/R65,\"\")","v":25.394185562985239},null,58,25.129270100865398,18.533782576280174,47.224985278219712,null,16,128,1,25.394185562985239,25.394185562985239,25.394185562985239]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AD66<>\"\",AD66,\"\")","v":16},64,2,15.819212705215225,17.19464206606942,18.280855276572481,{"$f":"IF(R66<>\"\",S$65/SQRT(R66),\"\")","v":17.956400814296387},{"$f":"IF(R66<>\"\",S$65/R66,\"\")","v":12.69709278149262},null,59,17.003059779617569,19.036340751690652,32.586890084264212,null,16,64,2,15.819212705215225,17.19464206606942,18.280855276572481]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16,32,4,10.170096022330092,11.154633422906148,13.955114504365525,12.69709278149262,6.3485463907463098,null,60,18.996138459527412,17.735329228779833,32.428950764395822,null,16,32,4,10.170096022330092,11.154633422906148,13.955114504365525]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16,16,8,5.7904893607473324,7.8613689542645391,10.685512349022245,8.9782004071481936,3.1742731953731549,null,61,14.24029213587565,18.905458731051475,18.380860532868816,null,16,16,8,5.7904893607473324,7.8613689542645391,10.685512349022245]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,62,28.97219247122365,15.428986323607107,10.616569718230934]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,63,15.326449540369335,16.420520537192708,13.805065095283119]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,64,19.48895592254927,14.80405510620929,10.312603895590266]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,77,10.935205809488201,null,null,null,"Lot variance"]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,105,10.327551133078531]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,106,9.4282520622475197]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,107,9.2803615594327304]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,108,9.9200402410283921]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,109,7.567006411139829]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,110,10.407465288818255]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,112,8.13583786779148]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,113,11.024312869264001]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,114,8.9699940213789215]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,115,10.592781298104734]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,116,9.8487034074478377]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,117,10.377936557051237]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,118,9.9901625771538995]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,119,8.7479075344870285]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,120,9.2324027939307456]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,121,7.7304156135621422]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,122,9.5650924377614306]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,123,9.9735050437981378]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,124,10.542873673198871]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,125,9.2167501655699962]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,126,9.1034907133137288]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,127,9.0847269674603037]
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{"sheet":"SU","index":2,"n_rows":135,"n_cols":41,"rows_kept":135,"cut":false,"hidden":false,"merged":[]}
[{"$f":"DFT!A1","v":"SU_3.0"},null,"Run at:",{"$f":"IF(AD23<>\"\",AD23,\"Please update SU\")","v":"Please update SU"},null,"Runtime:",{"$f":"AE23","v":0},"s","Nr:",{"$f":"AF23","v":0},"Mean:",{"$f":"AG23","v":0},"RSD %",{"$f":"AH23","v":0},null,{"$f":"DFT!P1","v":"Author: Bo Svensmark, svensmark@plen.ku.dk, Analytical Chemistry, ECP, PLEN, University of Copenhagen, 2022"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Manual:"]
[]
["Title:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Table 3 ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Do only enter values in the WHITE cells!"]
["Comments:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Monte Carlo",null,4000]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Table 2",null,null,null,"N",null,{"$f":"AE16","v":128},null,null,"Table 1",null,null,null,null,"INPUT/OUTPUT for Macros - don't change!",null,null,null,null,null,null,null,null,null,"1) Enter the input data, x and f(x), in Table 1 "]
[null,null,null,null,null,null,null,null,"Manual for use in cell AM1",null,null,null,null,null,null,"Number of","Ratio",null,null,null,null,null,null,null,"INPUT",null,null,null,null,"Number of","Ratio",null,null,null,null,null,null,null,null,null,"Max x = 1280"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"increments",0,2,4,8,16,32,null,null,"x","f(x)","Variogram","DFT",null,"increments",{"$f":"IF(Q7<>\"\",Q7,\"\")","v":0},2,4,8,16,32]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,{"$f":"IF(P8>0,IF(MOD($AE$16,$P8)=0,1,\"\"),\"\")","v":1},{"$f":"IF($P8*R$7>0,IF(MOD($AE$16,$P8*R$7)=0,$AE$16/($P8*R$7),\"\"),\"\")","v":64},{"$f":"IF($P8*S$7>0,IF(MOD($AE$16,$P8*S$7)=0,$AE$16/($P8*S$7),\"\"),\"\")","v":32},16,8,4,null,null,1,9.6025277314209987,null,165.04994750914668,null,{"$f":"IF(P8<>\"\",P8,\"\")","v":1},{"$f":"IF(Q8<>\"\",$AD8,\"\")","v":1},{"$f":"IF(R8<>\"\",$AD8,\"\")","v":1},1,1,1,1,null,null,null,"2) Enter Ratios and number of increments (Ni) in Table 2"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,{"$f":"IF(P9>0,IF(MOD($AE$16,$P9)=0,1,\"\"),\"\")","v":1},{"$f":"IF($P9*R$7>0,IF(MOD($AE$16,$P9*R$7)=0,$AE$16/($P9*R$7),\"\"),\"\")","v":32},16,8,4,2,null,null,2,9.8920678788607717,null,118.83239950496282,null,{"$f":"IF(P9<>\"\",P9,\"\")","v":2},{"$f":"IF(Q9<>\"\",$AD9,\"\")","v":2},2,2,2,2,2,null,null,null,null,"Ratio = 0 means Point selection, results marked PS"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,1,16,8,4,2,1,null,null,3,7.6891424711396521,null,117.06523788153505,null,4,4,4,4,4,4,4]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,1,8,4,2,1,"",null,null,4,9.293271681930543,null,85.711821905982248,null,8,8,8,8,8,8,"",null,null,null,"3) Enter number of runs for Monte Carlo simulation in Table 3"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16,1,4,2,1,"","",null,null,5,10.628249269493075,null,59.592976483901047,null,16,16,16,16,16,"","",null,null,null,null,"MC = 4000 is a reasonable number"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,32,1,2,1,"","","",null,null,6,8.5495189983229629,null,52.168428868447073,null,32,32,32,32,"","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,64,1,1,"","","","",null,null,7,10.38383942182856,null,32.862951810013428,null,64,64,64,"","","","",null,null,null,"4) Press the button UPDATE SU"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","","","","","",null,null,8,9.8558619055929473,null,20.504789945786833,null,"","","","","","","",null,null,null,null,"The progress can be seen in the lower left corner of the screen"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,7.5242176353104284,null,16.761516672661415,null,"imx",{"$f":"COUNT(Z8:Z647)","v":128},null,null,null,null,null,null,null,null,null,"If it takes too ling time press ESC and the End"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"In % of RSD(aL)?",null,null,null,10,9.2757153084281398,null,5.6831433421228335,null,"Runs",{"$f":"COUNT(AE8:AJ15)","v":32}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Y/N","n",null,null,11,9.3013106546062634,null,21.106054449312463,null,null,null,null,null,null,null,null,null,null,null,"5) Analyse the results"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Divisor",{"$f":"IF(V18=\"Y\",N1/100,1)","v":1},null,null,12,9.193974763432216,null,5.8171492894597119,null,null,null,null,null,null,null,null,null,null,null,null,"Results can be shown as RSD % or in % of RSD(aL) (Cell V18)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(L1<>0,IF(AVERAGE(Z8:Z263)<>L1,\"New data: Please Update SU\",\"\"),\"\")","v":""},null,null,null,null,null,null,null,null,13,8.6895819369362659,null,36.146281849435077]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14,10.057410177804007,null,20.827609554801011,null,null,null,null,null,null,null,null,null,null,null,"6) Save the sheet and/or change input and try again - or open a new sheet"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15,12.040309430947914,null,22.376552068347333]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Table 4","Relative standard deviation of sampling",null,null,null,null,null,null,null,16,9.2590913163561392,null,15.565953968094249,null,null,null,null,null,null,null,null,null,null,null,"7) To create a new sheet press the NEW SHEET button"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","j","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni",null,17,8.8080448530848159,null,2.0851176690955722,null,null,null,null,null,null,null,null,null,null,null,null,"The new sheet will contain a copy of data in Table 1 to 3"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AD25<>\"\",AD25,\"\")","v":""},"",null,{"$f":"IF(AG25<>\"\",AG25/$V$19,\"\")","v":""},"","",{"$f":"IF(R25<>\"\",S$25/SQRT(R25),\"\")","v":""},{"$f":"IF(R25<>\"\",S$25/R25,\"\")","v":""},null,18,10.095306060928211,null,1.7858853368951813]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,19,11.399308369503331,null,16.908782708070284,null,null,null,null,null,null,null,null,null,null,null,"8) To make a Discrete Fourier Analysis of the data press DFT"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,20,10.036831498148771,null,25.761656788711228,null,null,null,null,null,null,null,null,null,null,null,null,"The cyclic components of the data can be analysed"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,21,9.8530696213104445,null,11.663952028114233,null,null,null,null,null,null,null,null,null,null,null,null,"DFT-filtering can be used to attenuate or amplify cyclic variations"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,22,11.340683818541372,null,17.869272470502114]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,23,10.403325038215725,null,23.21550332297981,null,null,null,null,null,null,null,null,null,null,null,"9) Troubleshooting"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,24,10.297832706514646,null,26.506405605998921,null,null,null,null,null,null,null,null,null,null,null,null,"If you get a runtime error in the macros:"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,25,11.498725534529878,null,22.267352409129693,null,null,null,null,null,null,null,null,null,null,null,null,"Press Debug in the pop up window"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,26,9.6533360606422125,null,13.169870050234572,null,null,null,null,null,null,null,null,null,null,null,null,"Look at the code and try to understand the problem"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","j","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni",null,27,8.0610079829040746,null,35.736082062233734,null,null,null,null,null,null,null,null,null,null,null,null,"Press the reset button (blue square in the tools) and try to fix the"]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","j","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni",null,47,10.896520375489809,null,25.356687937520487]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AD55<>\"\",AD55,\"\")","v":""},{"$f":"IF(AE55<>\"\",AE55,\"\")","v":""},null,{"$f":"IF(AG55<>\"\",AG55/$V$19,\"\")","v":""},"","",{"$f":"IF(R55<>\"\",S$55/SQRT(R55),\"\")","v":""},{"$f":"IF(R55<>\"\",S$55/R55,\"\")","v":""},null,48,12.693490287425172,null,21.438976271882385]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AD56<>\"\",AD56,\"\")","v":""},"",null,"","","",{"$f":"IF(R56<>\"\",S$55/SQRT(R56),\"\")","v":""},{"$f":"IF(R56<>\"\",S$55/R56,\"\")","v":""},null,49,10.384847879065493,null,21.240766411789561]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AD66<>\"\",AD66,\"\")","v":""},"",null,"","","",{"$f":"IF(R66<>\"\",S$65/SQRT(R66),\"\")","v":""},{"$f":"IF(R66<>\"\",S$65/R66,\"\")","v":""},null,59,17.003059779617569,null,32.586890084264212]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,61,14.24029213587565,null,18.380860532868816]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,62,28.97219247122365,null,10.616569718230934]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,64,19.48895592254927,null,10.312603895590266]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","","","","",null,65,19.015077507556772]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,66,12.321969151715791]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Ratio","j","Ni","Syst %","Strat %","Rand %","s1/sq(Ni)","s1/Ni",null,67,13.907237285329844]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AD75<>\"\",AD75,\"\")","v":""},{"$f":"IF(AE75<>\"\",AE75,\"\")","v":""},null,{"$f":"IF(AG75<>\"\",AG75/$V$19,\"\")","v":""},"","",{"$f":"IF(R75<>\"\",S$75/SQRT(R75),\"\")","v":""},{"$f":"IF(R75<>\"\",S$75/R75,\"\")","v":""},null,68,10.460082522628376]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,70,11.667258913102845]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,71,10.750182308795358]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,72,12.764024124189765]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,73,12.844187294154027]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,74,8.555514694042639]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","",null,"","","","","",null,75,10.015186500926767]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,76,10.012617635078978]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,77,10.935205809488201,null,null,null,"Lot variance"]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,79,9.4115515982694014,null,null,null,0,{"$f":"(AH23*AG23/100)^2","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,80,10.687368036085784,null,null,null,{"$f":"AE16/2","v":64},{"$f":"AE86","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,81,10.274828617954551]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,82,9.1071535018559793,null,null,null,"Sampling frequencies"]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,93,11.066738305267748]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,94,9.7852146979657437]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,95,9.069776911689015]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,97,8.9701526750284497]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,98,8.7956242804214497]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,99,9.765242814153714]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,100,10.820104943227008]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,101,9.2460106624224618]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,102,10.727446899713545]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,103,11.456895401608357]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,104,11.975756482262202]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,105,10.327551133078531]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,106,9.4282520622475197]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,107,9.2803615594327304]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,108,9.9200402410283921]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,109,7.567006411139829]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,110,10.407465288818255]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,111,9.9188500216385211]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,112,8.13583786779148]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,113,11.024312869264001]
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