{"text_format":"1","workbook":"xlsx","n_sheets":2,"sheets":["Example Table 3","FSU"],"not_rendered":{"charts":2,"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":"Example Table 3","index":0,"n_rows":63,"n_cols":26,"rows_kept":63,"cut":false,"hidden":false,"merged":[[2,2,2,3],[26,4,26,5]]}
["FSU_1.1",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",null,null,null,null,null,null,null,null,null,null,null,"This sheet is protected, to unprotect click Review then Unprotect Sheet"]
[]
[null,"Run at:",{"$f":"IF(D24<>\"\",D24,\"Not run\")","v":"2021-06-30T15:31:54"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Manual"]
["Title:","Data and results for Table 3 in the paper:  https://doi.org/10.1016/j.aca.2021.339127"]
["Comm:",null,null,null,null,null,null,null,null,null,null,null,null,"s(FSU) % is the sampling standard uncertainty for the segregated material   (2.8 to 9.2 %)",null,null,null,null,null,null,null,null,null,null,"ONLY enter values in the WHITE cells"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"s(FSE) % is the sampling standard uncertainty for a completely mixed material (3.8 to 14.1 %)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"1) Enter the concentration profiles of the classes  in Table 1"]
[null,"Table 2","Class parameters",null,null,"Table 3","Analyte concentrations a(i,k)",null,null,null,null,null,null,"Table 4","Sampling parameters and results",null,null,null,null,null,null,null,null,null,null,"Indices 0, 1, 2, 3… is only for the graph"]
[null,null,null,null,null,"Analyte i",1,2,3,4,5,6,null,null,null,"Case:",1,2,3,4,5,6]
[null,"Class k","Name","m(k), g",null,"Class k","sand","sesame","barley","steel","High conc","Low conc",null,null,null,"Analyte:",{"$f":"IF(G10=\"\",\"\",G10)","v":"sand"},{"$f":"IF(H10=\"\",\"\",H10)","v":"sesame"},{"$f":"IF(I10=\"\",\"\",I10)","v":"barley"},{"$f":"IF(J10=\"\",\"\",J10)","v":"steel"},"High conc","Low conc",null,null,"2) Enter class parameters in Table 2"]
[null,1,"Sand",1E-4,null,1,1,0,0,0,0.9,8.9999999999999995E-9,null,null,null,"a(L)",4.9999999999999996E-2,5.0083333333333341E-2,0.69991666666666663,0.19999999999999998,6.5000000000000002E-2,6.5000000000000003E-10,null,null,null,"m(k): Mass of a single fragment of class k, g (average mass)"]
[null,2,"Sesame",3.0000000000000001E-3,null,2,0,1,0,0,0,0,null,"M(L), g",1000,"HIL(FSU)",0.11373533333333333,4.3346945091514141E-2,0.1448962559828551,1.2127940133333335,0.38550594947312056,0.38550594947312056]
[null,3,"Barley",4.4999999999999998E-2,null,3,0,0,1,0,0,0,null,null,null,"HIL(FSE)",0.20965149999999999,0.26175166638935105,0.18214486825812595,2.8508515000000001,8.355919230769232E-2,8.355919230769232E-2,null,null,"3) Enter concentrations a(i,k), g/g for up to 6 analytes in Table 3"]
[null,4,"Steel",0.88100000000000001,null,4,0,0,0,1,0.1,1.0000000000000001E-9,null,"M(S), g",1,"s(FSU) %",{"$f":"IF($O14*Q$12=0,\"\",100*SQRT((1/$O14-1/$O$12)*Q$12))","v":33.707802954212248},20.809516608134519,38.04620345407308,110.07185013980643,62.058073086718338,62.058073086718338,null,null,null,"For a class containing analyte enter a(i,k). For matrix classes set a(i,k)= 0"]
[null,5,null,null,null,5,null,null,null,null,null,null,null,null,2,null,23.823083623522233,14.70718382310684,26.8892602604543,77.793586667111157,43.85971600308045,43.85971600308045]
[null,6,null,null,null,6,null,null,null,null,null,null,null,null,125,null,2.8216082884293723,1.7419202497261435,3.1847665407059051,9.213879798072762,5.1947489316730637,5.1947489316730637,null,null,"4) Enter mass of the lot, M(L),in Table 4, and:"]
[null,7,null,null,null,7,null,null,null,null,null,null,null,null,null,null,"","","","","","",null,null," ","Enter sample mass, M(S), to predict s(FSU) %"]
[null,8,null,null,null,8,null,null,null,null,null,null,null,null,null,null,"","","","","","",null,null,null,"Enter s % to predict the required sample mass, M(S)"]
[null,9,null,null,null,9,null,null,null,null,null,null,null,"M(S), g",{"$f":"MIN(O14:O18)","v":1},"s(FSE) %",{"$f":"IF($O19*Q$13=0,\"\",100*SQRT((1/$O19-1/$O$12)*Q$13))","v":45.764817108779098},51.136084590332267,42.657088905581432,168.76020409148597,28.8921499918896,28.8921499918896,null,null,null,"Results for FSE is calculated for minimum and maximum ínput"]
[null,10,null,null,null,10,null,null,null,null,null,null,null,null,{"$f":"MAX(O14:O18)","v":125},null,3.8308752263679899,4.2804925706341992,3.5707339270896146,14.126556728375109,2.418500250473103,2.418500250473103]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"s %",1,"M(S,FSU), g",{"$f":"IF($O21*Q$12=0,\"\",1/((0.01*$O21)^2/Q$12+1/$O$12))","v":532.13163944192661},302.39183028170578,591.66382679610717,923.82658742776505,794.02930055023683,794.02930055023683,null,null,"5) Press the button Calculate FSU"]
[null,"Macro I/O",null,null,null,null,null,null,null,null,null,null,null,null,2,null,221.38896422671593,97.772062199654073,265.91530844986056,751.98320635300649,490.77406699681808,490.77406699681808]
[null,"Depths",{"$f":"COUNT(C32:C63)","v":12},null,null,null,null,null,null,null,null,null,null,null,5,null,43.514479787930568,17.043268585581991,54.783341938306386,326.65265268635011,133.60081601755562,133.60081601755562,null,null,"6) Analyse the results"]
[null,"Checksum",72.929100010000013,44377.647152777776,null,null,null,null,null,null,null,null,null,null,10,null,11.245630776838597,4.3159860282133424,14.28267498520785,108.16162429196314,37.119611827161684,37.119611827161684,null,null,null,"You can change M(L), M(S) and  %  and the results will change accordingly"]
[null,"Classes",{"$f":"COUNT(D11:D20)","v":4},null,null,null,null,null,null,null,null,null,null,null,null,null,"","","","","","",null,null,null,"Results for FSE are given as reference"]
[null,"Cases",{"$f":"COUNT(G11:L11)","v":6},null,null,{"$f":"IF(ABS(SUM(D11:D20,F11:L20,C32:L63)-C24)<0.000001,\"\",\"New data, Please Calculate FSU\")","v":""},null,null,null,null,null,null,null,"s %",{"$f":"MIN(O21:O25)","v":1},"M(S,FSE), g",{"$f":"IF($O26*Q$13=0,\"\",1/((0.01*$O26)^2/Q$13+1/$O$12))","v":677.05630361874557},723.56727199600346,645.57214661613841,966.11147663648944,455.21660483025914,455.21660483025914]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(OR(C31=\"\",ABS(1-SUM(C31:L31))<0.000001),\"\",\"Error: Sum of x(k) must be 1 for all depths\")","v":""},null,{"$f":"MAX(O21:O25)","v":10},null,20.534638229326433,25.50750348468037,17.888654170099791,221.84144762703076,8.2866764318134774,8.2866764318134774,null,null,"7) Save the workbook under a new name: Save As…"]
[null,"Table 1: ","Class concentration x(j,k) as function of depth",null,null,null,null,null,null,null,null,null,null,"Results for Table 3 highlighted in yellow"]
[null,"Class k",1,2,3,4,5,6,7,8,9,10,null,null,null,null,null,null,null,null,null,null,null,null,"8) To continue: Change input and try again - or create a new sheet"]
[null,"Name",{"$f":"IF(C11=\"\",\"\",C11)","v":"Sand"},{"$f":"IF(C12=\"\",\"\",C12)","v":"Sesame"},{"$f":"IF(C13=\"\",\"\",C13)","v":"Barley"},{"$f":"IF(C14=\"\",\"\",C14)","v":"Steel"},{"$f":"IF(C15=\"\",\"\",C15)","v":""},{"$f":"IF(C16=\"\",\"\",C16)","v":""},{"$f":"IF(C17=\"\",\"\",C17)","v":""},{"$f":"IF(C18=\"\",\"\",C18)","v":""},{"$f":"IF(C19=\"\",\"\",C19)","v":""},{"$f":"IF(C20=\"\",\"\",C20)","v":""},null,"Case 5 & 6 shows that the concentration"]
[null,"x(L)",{"$f":"IF(C32=\"\",\"\",AVERAGE(C32:C63))","v":4.9999999999999996E-2},{"$f":"IF(D32=\"\",\"\",AVERAGE(D32:D63))","v":5.0083333333333341E-2},0.69991666666666663,0.19999999999999998,"","","","","","",null,"itself is unimportant, when the ratios of ",null,null,null,null,null,null,null,null,null,null,"9) To create a new sheet press the New Sheet button (not available in this example)"]
[null,0,0,0.27300000000000002,0.72699999999999998,0,null,null,null,null,null,null,{"$f":"IF(OR(C32=\"\",ABS(1-SUM(C32:L32))<0.000001),\"\",\"Error\")","v":""},"concentrations are constant",null,null,null,null,null,null,null,null,null,null,null,"The new sheet will contain a copy of data in Table 1 to  4"]
[null,-1,0,0.27300000000000002,0.72699999999999998,0,null,null,null,null,null,null,{"$f":"IF(OR(C33=\"\",ABS(1-SUM(C33:L33))<0.000001),\"\",\"Error\")","v":""}]
[null,-2,0,5.5E-2,0.94499999999999995,0,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"10) Troubleshooting"]
[null,-3,0,0,1,0,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,null,"If you get a runtime error in the macros:"]
[null,-4,0,0,0.874,0.126,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,null,"Press Debug in the pop up window"]
[null,-5,0,0,0.874,0.126,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,null,"Look at the code and try to understand the problem"]
[null,-6,0,0,0.747,0.253,null,null,null,null,null,null,"",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,-7,0,0,0.621,0.379,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,null,"error or go to the spreadsheet and fix the error"]
[null,-8,0,0,0.621,0.379,null,null,null,null,null,null,""]
[null,-9,0,0,0.495,0.505,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,"Table 1:","x(L):","Fraction of class kin the lot (mean of all depths), g/g"]
[null,-10,0.1,0,0.26800000000000002,0.63200000000000001,null,null,null,null,null,null,""]
[null,-11,0.5,0,0.5,0,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,"Table 2:","m(k):","Mass of one fragment of class k, g"]
[null,-12,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"Name:","Name of this class"]
[null,-13,null,null,null,null,null,null,null,null,null,null,""]
[null,-14,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,"Table 3:","Analyte","Name of analyte (could be a class)"]
[null,-15,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"a(i,k):","Analyte concentration of analyte iin class k, g/g"]
[null,-16,null,null,null,null,null,null,null,null,null,null,""]
[null,-17,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,"Table 4:","a(L):","Concentration of analyte i in the lot, g/g"]
[null,-18,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"M(L): ","Mass of the lot, g"]
[null,-19,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"M(S): ","Mass of the sample, g"]
[null,-20,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"s %","Sampling standard deviation"]
[null,-21,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"HIL(FSU):","Heterogeneity invariant for FSU"]
[null,-22,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"HIL(FSE):","Heterogeneity invarant for FSE, i.e. as if all boxes were mixed completely"]
[null,-23,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"s(FSU)%:","s in % due to FSU"]
[null,-24,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"s(FSE) %:","s in % due to FSE, i.e. as if all boxes were mixed completely (for highest and lowest M(S))"]
[null,-25,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"M(S,FSU),g:","Sample mass in g according to FSU"]
[null,-26,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"M(S, FSE),g:","Sample mass in g according to FSE (for highest and lowest s %)"]
[null,-27,null,null,null,null,null,null,null,null,null,null,""]
[null,-28,null,null,null,null,null,null,null,null,null,null,""]
[null,-29,null,null,null,null,null,null,null,null,null,null,""]
[null,-30,null,null,null,null,null,null,null,null,null,null,""]
[null,-31,null,null,null,null,null,null,null,null,null,null,""]

{"sheet":"FSU","index":1,"n_rows":63,"n_cols":26,"rows_kept":63,"cut":false,"hidden":false,"merged":[[2,2,2,3],[26,4,26,5]]}
[{"$f":"'Example Table 3'!A1","v":"FSU_1.1"},null,null,null,null,null,null,null,null,null,null,null,{"$f":"'Example Table 3'!M1","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,"This sheet is protected, to unprotect click Review then Unprotect Sheet"]
[]
[null,"Run at:",{"$f":"IF(D24<>\"\",D24,\"Not run\")","v":"Not run"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Manual"]
["Title:"]
["Comm:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ONLY enter values in the WHITE cells"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"1) Enter the concentration profiles of the classes  in Table 1"]
[null,"Table 2","Class parameters",null,null,"Table 3","Analyte concentrations a(i,k)",null,null,null,null,null,null,"Table 4","Sampling parameters and results",null,null,null,null,null,null,null,null,null,null,"Indices 0, 1, 2, 3… is only for the graph"]
[null,null,null,null,null,"Analyte i",1,2,3,4,5,6,null,null,null,"Case:",1,2,3,4,5,6]
[null,"Class k","Name","m(k), g",null,"Class k",null,null,null,null,null,null,null,null,null,"Analyte:",{"$f":"IF(G10=\"\",\"\",G10)","v":""},{"$f":"IF(H10=\"\",\"\",H10)","v":""},{"$f":"IF(I10=\"\",\"\",I10)","v":""},{"$f":"IF(J10=\"\",\"\",J10)","v":""},"","",null,null,"2) Enter class parameters in Table 2"]
[null,1,null,null,null,1,null,null,null,null,null,null,null,null,null,"a(L)",null,null,null,null,null,null,null,null,null,"m(k): Mass of a single fragment of class k, g (average mass)"]
[null,2,null,null,null,2,null,null,null,null,null,null,null,"M(L), g",null,"HIL(FSU)"]
[null,3,null,null,null,3,null,null,null,null,null,null,null,null,null,"HIL(FSE)",null,null,null,null,null,null,null,null,"3) Enter concentrations a(i,k), g/g for up to 6 analytes in Table 3"]
[null,4,null,null,null,4,null,null,null,null,null,null,null,"M(S), g",null,"s(FSU) %",{"$f":"IF($O14*Q$12=0,\"\",100*SQRT((1/$O14-1/$O$12)*Q$12))","v":""},"","","","","",null,null,null,"For a class containing analyte enter a(i,k). For matrix classes set a(i,k)= 0"]
[null,5,null,null,null,5,null,null,null,null,null,null,null,null,null,null,"","","","","",""]
[null,6,null,null,null,6,null,null,null,null,null,null,null,null,null,null,"","","","","","",null,null,"4) Enter mass of the lot, M(L),in Table 4, and:"]
[null,7,null,null,null,7,null,null,null,null,null,null,null,null,null,null,"","","","","","",null,null," ","Enter sample mass, M(S), to predict s(FSU) %"]
[null,8,null,null,null,8,null,null,null,null,null,null,null,null,null,null,"","","","","","",null,null,null,"Enter s % to predict the required sample mass, M(S)"]
[null,9,null,null,null,9,null,null,null,null,null,null,null,"M(S), g",{"$f":"MIN(O14:O18)","v":0},"s(FSE) %",{"$f":"IF($O19*Q$13=0,\"\",100*SQRT((1/$O19-1/$O$12)*Q$13))","v":""},"","","","","",null,null,null,"Results for FSE is calculated for minimum and maximum ínput"]
[null,10,null,null,null,10,null,null,null,null,null,null,null,null,{"$f":"MAX(O14:O18)","v":0},null,"","","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"s %",null,"M(S,FSU), g",{"$f":"IF($O21*Q$12=0,\"\",1/((0.01*$O21)^2/Q$12+1/$O$12))","v":""},"","","","","",null,null,"5) Press the button Calculate FSU"]
[null,"Macro I/O",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"","","","","",""]
[null,"Depths",{"$f":"COUNT(C32:C63)","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,"","","","","","",null,null,"6) Analyse the results"]
[null,"Checksum",55,null,null,null,null,null,null,null,null,null,null,null,null,null,"","","","","","",null,null,null,"You can change M(L), M(S) and  %  and the results will change accordingly"]
[null,"Classes",{"$f":"COUNT(D11:D20)","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,"","","","","","",null,null,null,"Results for FSE are given as reference"]
[null,"Cases",{"$f":"COUNT(G11:L11)","v":0},null,null,{"$f":"IF(ABS(SUM(D11:D20,F11:L20,C32:L63)-C24)<0.000001,\"\",\"New data, Please Calculate FSU\")","v":""},null,null,null,null,null,null,null,"s %",{"$f":"MIN(O21:O25)","v":0},"M(S,FSE), g",{"$f":"IF($O26*Q$13=0,\"\",1/((0.01*$O26)^2/Q$13+1/$O$12))","v":""},"","","","",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"MAX(O21:O25)","v":0},null,"","","","","","",null,null,"7) Save the workbook under a new name: Save As…"]
[null,"Table 1: ","Class concentration x(j,k) as function of depth",null,null,null,null,null,null,null,null,null,{"$f":"IF(OR(C31=\"\",ABS(1-SUM(C31:L31))<0.000001),\"\",\"Error: Sum of x(k) must be 1 for all depths\")","v":""}]
[null,"Class k",1,2,3,4,5,6,7,8,9,10,null,null,null,null,null,null,null,null,null,null,null,null,"8) To continue: Change input and try again - or create a new sheet"]
[null,"Name",{"$f":"IF(C11=\"\",\"\",C11)","v":""},{"$f":"IF(C12=\"\",\"\",C12)","v":""},{"$f":"IF(C13=\"\",\"\",C13)","v":""},{"$f":"IF(C14=\"\",\"\",C14)","v":""},{"$f":"IF(C15=\"\",\"\",C15)","v":""},{"$f":"IF(C16=\"\",\"\",C16)","v":""},{"$f":"IF(C17=\"\",\"\",C17)","v":""},{"$f":"IF(C18=\"\",\"\",C18)","v":""},{"$f":"IF(C19=\"\",\"\",C19)","v":""},{"$f":"IF(C20=\"\",\"\",C20)","v":""}]
[null,"x(L)",{"$f":"IF(C32=\"\",\"\",AVERAGE(C32:C63))","v":""},{"$f":"IF(D32=\"\",\"\",AVERAGE(D32:D63))","v":""},"","","","","","","","",null,null,null,null,null,null,null,null,null,null,null,null,"9) To create a new sheet press the New Sheet button"]
[null,0,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(OR(C32=\"\",ABS(1-SUM(C32:L32))<0.000001),\"\",\"Error\")","v":""},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  4"]
[null,-1,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(OR(C33=\"\",ABS(1-SUM(C33:L33))<0.000001),\"\",\"Error\")","v":""}]
[null,-2,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"10) Troubleshooting"]
[null,-3,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,null,"If you get a runtime error in the macros:"]
[null,-4,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,null,"Press Debug in the pop up window"]
[null,-5,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,null,"Look at the code and try to understand the problem"]
[null,-6,null,null,null,null,null,null,null,null,null,null,"",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,-7,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,null,"error or go to the spreadsheet and fix the error"]
[null,-8,null,null,null,null,null,null,null,null,null,null,""]
[null,-9,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,"Table 1:","x(L):","Fraction of class kin the lot (mean of all depths), g/g"]
[null,-10,null,null,null,null,null,null,null,null,null,null,""]
[null,-11,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,"Table 2:","m(k):","Mass of one fragment of class k, g"]
[null,-12,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"Name:","Name of this class"]
[null,-13,null,null,null,null,null,null,null,null,null,null,""]
[null,-14,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,"Table 3:","Analyte","Name of analyte (could be a class)"]
[null,-15,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"a(i,k):","Analyte concentration of analyte iin class k, g/g"]
[null,-16,null,null,null,null,null,null,null,null,null,null,""]
[null,-17,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,"Table 4:","a(L):","Concentration of analyte i in the lot, g/g"]
[null,-18,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"M(L): ","Mass of the lot, g"]
[null,-19,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"M(S): ","Mass of the sample, g"]
[null,-20,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"s %","Sampling standard deviation"]
[null,-21,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"HIL(FSU):","Heterogeneity invariant for FSU"]
[null,-22,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"HIL(FSE):","Heterogeneity invarant for FSE, i.e. as if all boxes were mixed completely"]
[null,-23,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"s(FSU)%:","s in % due to FSU"]
[null,-24,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"s(FSE) %:","s in % due to FSE, i.e. as if all boxes were mixed completely (for highest and lowest M(S))"]
[null,-25,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"M(S,FSU),g:","Sample mass in g according to FSU"]
[null,-26,null,null,null,null,null,null,null,null,null,null,"",null,null,null,null,null,null,null,null,null,null,null,"M(S, FSE),g:","Sample mass in g according to FSE (for highest and lowest s %)"]
[null,-27,null,null,null,null,null,null,null,null,null,null,""]
[null,-28,null,null,null,null,null,null,null,null,null,null,""]
[null,-29,null,null,null,null,null,null,null,null,null,null,""]
[null,-30,null,null,null,null,null,null,null,null,null,null,""]
[null,-31,null,null,null,null,null,null,null,null,null,null,""]