Instrumental Deviations from the Beer-Lambert Law
|
|
- Βηθανία Γαλάνη
- 6 χρόνια πριν
- Προβολές:
Transcript
1 Instrumental Deviations from the Beer-Lambert Law Measurement Spectral Absorber Maximum Absorption Unabsorbed stray Concentration Measured absorbance wavelength bandpass width Absorptivity Path length light =0.0001*A =Sheet2.E =Sheet2.F46 Click the arrows above to change the values 0.5 =Sheet2.G =Sheet2.H46 1 =Sheet2.I =Sheet2.J =Sheet2.K =Sheet2.L =Sheet2.M46 2 =Sheet2.N46 Blue text indicates user input cells. 1 Absorption peak shape 1 Gaussian Lorentzian σ of errors =STDEV(Sheet2.E50:N50) Seite 1
2 Named variables W Wavelength amax Maximum absorptivity aw Absorber width (half-width of the absorption band) b Absorption path length Izero Incident intensity sl Stray light (fraction of incident light) sw Source width (spectral bandpass of monochromator) slope Slope of straight-line least squares fit to calibration curve intercept Intercept of straight-line least squares fit to calibration curve T. C. O'Haver, August 2, 2008 Seite 2
3 Seite 3
4 Seite 4
5 Wavelength Inst. function 200 =1-200*ABS((A3-W)/(100))/(2*sw) =IF(B3<0;0;B3) =A3+5 =1-200*ABS((A4-W)/(100))/(2*sw) =IF(B4<0;0;B4) =A4+5 =1-200*ABS((A5-W)/(100))/(2*sw) =IF(B5<0;0;B5) =A5+5 =1-200*ABS((A6-W)/(100))/(2*sw) =IF(B6<0;0;B6) =A6+5 =1-200*ABS((A7-W)/(100))/(2*sw) =IF(B7<0;0;B7) =A7+5 =1-200*ABS((A8-W)/(100))/(2*sw) =IF(B8<0;0;B8) =A8+5 =1-200*ABS((A9-W)/(100))/(2*sw) =IF(B9<0;0;B9) =A9+5 =1-200*ABS((A10-W)/(100))/(2*sw) =IF(B10<0;0;B10) =A10+5 =1-200*ABS((A11-W)/(100))/(2*sw) =IF(B11<0;0;B11) =A11+5 =1-200*ABS((A12-W)/(100))/(2*sw) =IF(B12<0;0;B12) =A12+5 =1-200*ABS((A13-W)/(100))/(2*sw) =IF(B13<0;0;B13) =A13+5 =1-200*ABS((A14-W)/(100))/(2*sw) =IF(B14<0;0;B14) =A14+5 =1-200*ABS((A15-W)/(100))/(2*sw) =IF(B15<0;0;B15) =A15+5 =1-200*ABS((A16-W)/(100))/(2*sw) =IF(B16<0;0;B16) =A16+5 =1-200*ABS((A17-W)/(100))/(2*sw) =IF(B17<0;0;B17) =A17+5 =1-200*ABS((A18-W)/(100))/(2*sw) =IF(B18<0;0;B18) =A18+5 =1-200*ABS((A19-W)/(100))/(2*sw) =IF(B19<0;0;B19) =A19+5 =1-200*ABS((A20-W)/(100))/(2*sw) =IF(B20<0;0;B20) =A20+5 =1-200*ABS((A21-W)/(100))/(2*sw) =IF(B21<0;0;B21) =A21+5 =1-200*ABS((A22-W)/(100))/(2*sw) =IF(B22<0;0;B22) =A22+5 =1-200*ABS((A23-W)/(100))/(2*sw) =IF(B23<0;0;B23) =A23+5 =1-200*ABS((A24-W)/(100))/(2*sw) =IF(B24<0;0;B24) =A24+5 =1-200*ABS((A25-W)/(100))/(2*sw) =IF(B25<0;0;B25) =A25+5 =1-200*ABS((A26-W)/(100))/(2*sw) =IF(B26<0;0;B26) =A26+5 =1-200*ABS((A27-W)/(100))/(2*sw) =IF(B27<0;0;B27) =A27+5 =1-200*ABS((A28-W)/(100))/(2*sw) =IF(B28<0;0;B28) =A28+5 =1-200*ABS((A29-W)/(100))/(2*sw) =IF(B29<0;0;B29) =A29+5 =1-200*ABS((A30-W)/(100))/(2*sw) =IF(B30<0;0;B30) =A30+5 =1-200*ABS((A31-W)/(100))/(2*sw) =IF(B31<0;0;B31) =A31+5 =1-200*ABS((A32-W)/(100))/(2*sw) =IF(B32<0;0;B32) =A32+5 =1-200*ABS((A33-W)/(100))/(2*sw) =IF(B33<0;0;B33) =A33+5 =1-200*ABS((A34-W)/(100))/(2*sw) =IF(B34<0;0;B34) =A34+5 =1-200*ABS((A35-W)/(100))/(2*sw) =IF(B35<0;0;B35) =A35+5 =1-200*ABS((A36-W)/(100))/(2*sw) =IF(B36<0;0;B36) =A36+5 =1-200*ABS((A37-W)/(100))/(2*sw) =IF(B37<0;0;B37) Seite 5
6 =A37+5 =1-200*ABS((A38-W)/(100))/(2*sw) =IF(B38<0;0;B38) =A38+5 =1-200*ABS((A39-W)/(100))/(2*sw) =IF(B39<0;0;B39) =A39+5 =1-200*ABS((A40-W)/(100))/(2*sw) =IF(B40<0;0;B40) =A40+5 =1-200*ABS((A41-W)/(100))/(2*sw) =IF(B41<0;0;B41) =A41+5 =1-200*ABS((A42-W)/(100))/(2*sw) =IF(B42<0;0;B42) =A42+5 =1-200*ABS((A43-W)/(100))/(2*sw) =IF(B43<0;0;B43) Izero Total intensity =SUM(C3:C43)+sl*SUM(C3:C43) Measured absorbance (y) Theoretical absorbance Seite 6
7 Absorptivity =IF(PeakShape="2";amax*(1/(1+((A3-300)/(0.5*aw))^2))+amax*(1/(1+((A3-150)/(0.5*aw))^2));amax*EXP(-1*((A3-300)/(0.6006*aw))^2)+amax*EXP(-1*((A3-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A4-300)/(0.5*aw))^2))+amax*(1/(1+((A4-150)/(0.5*aw))^2));amax*EXP(-1*((A4-300)/(0.6006*aw))^2)+amax*EXP(-1*((A4-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A5-300)/(0.5*aw))^2))+amax*(1/(1+((A5-150)/(0.5*aw))^2));amax*EXP(-1*((A5-300)/(0.6006*aw))^2)+amax*EXP(-1*((A5-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A6-300)/(0.5*aw))^2))+amax*(1/(1+((A6-150)/(0.5*aw))^2));amax*EXP(-1*((A6-300)/(0.6006*aw))^2)+amax*EXP(-1*((A6-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A7-300)/(0.5*aw))^2))+amax*(1/(1+((A7-150)/(0.5*aw))^2));amax*EXP(-1*((A7-300)/(0.6006*aw))^2)+amax*EXP(-1*((A7-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A8-300)/(0.5*aw))^2))+amax*(1/(1+((A8-150)/(0.5*aw))^2));amax*EXP(-1*((A8-300)/(0.6006*aw))^2)+amax*EXP(-1*((A8-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A9-300)/(0.5*aw))^2))+amax*(1/(1+((A9-150)/(0.5*aw))^2));amax*EXP(-1*((A9-300)/(0.6006*aw))^2)+amax*EXP(-1*((A9-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A10-300)/(0.5*aw))^2))+amax*(1/(1+((A10-150)/(0.5*aw))^2));amax*EXP(-1*((A10-300)/(0.6006*aw))^2)+amax*EXP(-1*((A10-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A11-300)/(0.5*aw))^2))+amax*(1/(1+((A11-150)/(0.5*aw))^2));amax*EXP(-1*((A11-300)/(0.6006*aw))^2)+amax*EXP(-1*((A11-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A12-300)/(0.5*aw))^2))+amax*(1/(1+((A12-150)/(0.5*aw))^2));amax*EXP(-1*((A12-300)/(0.6006*aw))^2)+amax*EXP(-1*((A12-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A13-300)/(0.5*aw))^2))+amax*(1/(1+((A13-150)/(0.5*aw))^2));amax*EXP(-1*((A13-300)/(0.6006*aw))^2)+amax*EXP(-1*((A13-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A14-300)/(0.5*aw))^2))+amax*(1/(1+((A14-150)/(0.5*aw))^2));amax*EXP(-1*((A14-300)/(0.6006*aw))^2)+amax*EXP(-1*((A14-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A15-300)/(0.5*aw))^2))+amax*(1/(1+((A15-150)/(0.5*aw))^2));amax*EXP(-1*((A15-300)/(0.6006*aw))^2)+amax*EXP(-1*((A15-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A16-300)/(0.5*aw))^2))+amax*(1/(1+((A16-150)/(0.5*aw))^2));amax*EXP(-1*((A16-300)/(0.6006*aw))^2)+amax*EXP(-1*((A16-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A17-300)/(0.5*aw))^2))+amax*(1/(1+((A17-150)/(0.5*aw))^2));amax*EXP(-1*((A17-300)/(0.6006*aw))^2)+amax*EXP(-1*((A17-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A18-300)/(0.5*aw))^2))+amax*(1/(1+((A18-150)/(0.5*aw))^2));amax*EXP(-1*((A18-300)/(0.6006*aw))^2)+amax*EXP(-1*((A18-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A19-300)/(0.5*aw))^2))+amax*(1/(1+((A19-150)/(0.5*aw))^2));amax*EXP(-1*((A19-300)/(0.6006*aw))^2)+amax*EXP(-1*((A19-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A20-300)/(0.5*aw))^2))+amax*(1/(1+((A20-150)/(0.5*aw))^2));amax*EXP(-1*((A20-300)/(0.6006*aw))^2)+amax*EXP(-1*((A20-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A21-300)/(0.5*aw))^2))+amax*(1/(1+((A21-150)/(0.5*aw))^2));amax*EXP(-1*((A21-300)/(0.6006*aw))^2)+amax*EXP(-1*((A21-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A22-300)/(0.5*aw))^2))+amax*(1/(1+((A22-150)/(0.5*aw))^2));amax*EXP(-1*((A22-300)/(0.6006*aw))^2)+amax*EXP(-1*((A22-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A23-300)/(0.5*aw))^2))+amax*(1/(1+((A23-150)/(0.5*aw))^2));amax*EXP(-1*((A23-300)/(0.6006*aw))^2)+amax*EXP(-1*((A23-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A24-300)/(0.5*aw))^2))+amax*(1/(1+((A24-150)/(0.5*aw))^2));amax*EXP(-1*((A24-300)/(0.6006*aw))^2)+amax*EXP(-1*((A24-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A25-300)/(0.5*aw))^2))+amax*(1/(1+((A25-150)/(0.5*aw))^2));amax*EXP(-1*((A25-300)/(0.6006*aw))^2)+amax*EXP(-1*((A25-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A26-300)/(0.5*aw))^2))+amax*(1/(1+((A26-150)/(0.5*aw))^2));amax*EXP(-1*((A26-300)/(0.6006*aw))^2)+amax*EXP(-1*((A26-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A27-300)/(0.5*aw))^2))+amax*(1/(1+((A27-150)/(0.5*aw))^2));amax*EXP(-1*((A27-300)/(0.6006*aw))^2)+amax*EXP(-1*((A27-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A28-300)/(0.5*aw))^2))+amax*(1/(1+((A28-150)/(0.5*aw))^2));amax*EXP(-1*((A28-300)/(0.6006*aw))^2)+amax*EXP(-1*((A28-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A29-300)/(0.5*aw))^2))+amax*(1/(1+((A29-150)/(0.5*aw))^2));amax*EXP(-1*((A29-300)/(0.6006*aw))^2)+amax*EXP(-1*((A29-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A30-300)/(0.5*aw))^2))+amax*(1/(1+((A30-150)/(0.5*aw))^2));amax*EXP(-1*((A30-300)/(0.6006*aw))^2)+amax*EXP(-1*((A30-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A31-300)/(0.5*aw))^2))+amax*(1/(1+((A31-150)/(0.5*aw))^2));amax*EXP(-1*((A31-300)/(0.6006*aw))^2)+amax*EXP(-1*((A31-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A32-300)/(0.5*aw))^2))+amax*(1/(1+((A32-150)/(0.5*aw))^2));amax*EXP(-1*((A32-300)/(0.6006*aw))^2)+amax*EXP(-1*((A32-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A33-300)/(0.5*aw))^2))+amax*(1/(1+((A33-150)/(0.5*aw))^2));amax*EXP(-1*((A33-300)/(0.6006*aw))^2)+amax*EXP(-1*((A33-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A34-300)/(0.5*aw))^2))+amax*(1/(1+((A34-150)/(0.5*aw))^2));amax*EXP(-1*((A34-300)/(0.6006*aw))^2)+amax*EXP(-1*((A34-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A35-300)/(0.5*aw))^2))+amax*(1/(1+((A35-150)/(0.5*aw))^2));amax*EXP(-1*((A35-300)/(0.6006*aw))^2)+amax*EXP(-1*((A35-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A36-300)/(0.5*aw))^2))+amax*(1/(1+((A36-150)/(0.5*aw))^2));amax*EXP(-1*((A36-300)/(0.6006*aw))^2)+amax*EXP(-1*((A36-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A37-300)/(0.5*aw))^2))+amax*(1/(1+((A37-150)/(0.5*aw))^2));amax*EXP(-1*((A37-300)/(0.6006*aw))^2)+amax*EXP(-1*((A37-150)/(0.6006*aw))^2)) Seite 7
8 =IF(PeakShape="2";amax*(1/(1+((A38-300)/(0.5*aw))^2))+amax*(1/(1+((A38-150)/(0.5*aw))^2));amax*EXP(-1*((A38-300)/(0.6006*aw))^2)+amax*EXP(-1*((A38-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A39-300)/(0.5*aw))^2))+amax*(1/(1+((A39-150)/(0.5*aw))^2));amax*EXP(-1*((A39-300)/(0.6006*aw))^2)+amax*EXP(-1*((A39-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A40-300)/(0.5*aw))^2))+amax*(1/(1+((A40-150)/(0.5*aw))^2));amax*EXP(-1*((A40-300)/(0.6006*aw))^2)+amax*EXP(-1*((A40-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A41-300)/(0.5*aw))^2))+amax*(1/(1+((A41-150)/(0.5*aw))^2));amax*EXP(-1*((A41-300)/(0.6006*aw))^2)+amax*EXP(-1*((A41-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A42-300)/(0.5*aw))^2))+amax*(1/(1+((A42-150)/(0.5*aw))^2));amax*EXP(-1*((A42-300)/(0.6006*aw))^2)+amax*EXP(-1*((A42-150)/(0.6006*aw))^2)) =IF(PeakShape="2";amax*(1/(1+((A43-300)/(0.5*aw))^2))+amax*(1/(1+((A43-150)/(0.5*aw))^2));amax*EXP(-1*((A43-300)/(0.6006*aw))^2)+amax*EXP(-1*((A43-150)/(0.6006*aw))^2)) Total transmitted intensity Measured absorbance = amax*b*c= Predicted concentration = Concentration error (real-predicted) Concentration error as % of max concentration Standard deviation of arrors Seite 8
9 Concentration =Sheet1.H3 =Sheet1.H4 =Sheet1.H5 =Sheet1.H6 =Sheet1.H7 =Sheet1.H8 =Sheet1.H9 =$C3*10^(-$D3*b*E$2) =$C3*10^(-$D3*b*F$2) =$C3*10^(-$D3*b*G$2) ### =$C4*10^(-$D4*b*E$2) =$C4*10^(-$D4*b*F$2) =$C4*10^(-$D4*b*G$2) ### =$C5*10^(-$D5*b*E$2) =$C5*10^(-$D5*b*F$2) =$C5*10^(-$D5*b*G$2) ### =$C6*10^(-$D6*b*E$2) =$C6*10^(-$D6*b*F$2) =$C6*10^(-$D6*b*G$2) ### =$C7*10^(-$D7*b*E$2) =$C7*10^(-$D7*b*F$2) =$C7*10^(-$D7*b*G$2) ### =$C8*10^(-$D8*b*E$2) =$C8*10^(-$D8*b*F$2) =$C8*10^(-$D8*b*G$2) ### =$C9*10^(-$D9*b*E$2) =$C9*10^(-$D9*b*F$2) =$C9*10^(-$D9*b*G$2) ### =$C10*10^(-$D10*b*E$2) =$C10*10^(-$D10*b*F$2) =$C10*10^(-$D10*b*G$2) ### =$C11*10^(-$D11*b*E$2) =$C11*10^(-$D11*b*F$2) =$C11*10^(-$D11*b*G$2) ### =$C12*10^(-$D12*b*E$2) =$C12*10^(-$D12*b*F$2) =$C12*10^(-$D12*b*G$2) ### =$C13*10^(-$D13*b*E$2) =$C13*10^(-$D13*b*F$2) =$C13*10^(-$D13*b*G$2) ### =$C14*10^(-$D14*b*E$2) =$C14*10^(-$D14*b*F$2) =$C14*10^(-$D14*b*G$2) ### =$C15*10^(-$D15*b*E$2) =$C15*10^(-$D15*b*F$2) =$C15*10^(-$D15*b*G$2) ### =$C16*10^(-$D16*b*E$2) =$C16*10^(-$D16*b*F$2) =$C16*10^(-$D16*b*G$2) ### =$C17*10^(-$D17*b*E$2) =$C17*10^(-$D17*b*F$2) =$C17*10^(-$D17*b*G$2) ### =$C18*10^(-$D18*b*E$2) =$C18*10^(-$D18*b*F$2) =$C18*10^(-$D18*b*G$2) ### =$C19*10^(-$D19*b*E$2) =$C19*10^(-$D19*b*F$2) =$C19*10^(-$D19*b*G$2) ### =$C20*10^(-$D20*b*E$2) =$C20*10^(-$D20*b*F$2) =$C20*10^(-$D20*b*G$2) ### =$C21*10^(-$D21*b*E$2) =$C21*10^(-$D21*b*F$2) =$C21*10^(-$D21*b*G$2) ### =$C22*10^(-$D22*b*E$2) =$C22*10^(-$D22*b*F$2) =$C22*10^(-$D22*b*G$2) ### =$C23*10^(-$D23*b*E$2) =$C23*10^(-$D23*b*F$2) =$C23*10^(-$D23*b*G$2) ### =$C24*10^(-$D24*b*E$2) =$C24*10^(-$D24*b*F$2) =$C24*10^(-$D24*b*G$2) ### =$C25*10^(-$D25*b*E$2) =$C25*10^(-$D25*b*F$2) =$C25*10^(-$D25*b*G$2) ### =$C26*10^(-$D26*b*E$2) =$C26*10^(-$D26*b*F$2) =$C26*10^(-$D26*b*G$2) ### =$C27*10^(-$D27*b*E$2) =$C27*10^(-$D27*b*F$2) =$C27*10^(-$D27*b*G$2) ### =$C28*10^(-$D28*b*E$2) =$C28*10^(-$D28*b*F$2) =$C28*10^(-$D28*b*G$2) ### =$C29*10^(-$D29*b*E$2) =$C29*10^(-$D29*b*F$2) =$C29*10^(-$D29*b*G$2) ### =$C30*10^(-$D30*b*E$2) =$C30*10^(-$D30*b*F$2) =$C30*10^(-$D30*b*G$2) ### =$C31*10^(-$D31*b*E$2) =$C31*10^(-$D31*b*F$2) =$C31*10^(-$D31*b*G$2) ### =$C32*10^(-$D32*b*E$2) =$C32*10^(-$D32*b*F$2) =$C32*10^(-$D32*b*G$2) ### =$C33*10^(-$D33*b*E$2) =$C33*10^(-$D33*b*F$2) =$C33*10^(-$D33*b*G$2) ### =$C34*10^(-$D34*b*E$2) =$C34*10^(-$D34*b*F$2) =$C34*10^(-$D34*b*G$2) ### =$C35*10^(-$D35*b*E$2) =$C35*10^(-$D35*b*F$2) =$C35*10^(-$D35*b*G$2) ### =$C36*10^(-$D36*b*E$2) =$C36*10^(-$D36*b*F$2) =$C36*10^(-$D36*b*G$2) ### =$C37*10^(-$D37*b*E$2) =$C37*10^(-$D37*b*F$2) =$C37*10^(-$D37*b*G$2) ### Seite 9
10 =$C38*10^(-$D38*b*E$2) =$C38*10^(-$D38*b*F$2) =$C38*10^(-$D38*b*G$2) ### =$C39*10^(-$D39*b*E$2) =$C39*10^(-$D39*b*F$2) =$C39*10^(-$D39*b*G$2) ### =$C40*10^(-$D40*b*E$2) =$C40*10^(-$D40*b*F$2) =$C40*10^(-$D40*b*G$2) ### =$C41*10^(-$D41*b*E$2) =$C41*10^(-$D41*b*F$2) =$C41*10^(-$D41*b*G$2) ### =$C42*10^(-$D42*b*E$2) =$C42*10^(-$D42*b*F$2) =$C42*10^(-$D42*b*G$2) ### =$C43*10^(-$D43*b*E$2) =$C43*10^(-$D43*b*F$2) =$C43*10^(-$D43*b*G$2) ### =SUM(E3:E43)+sl*$C$45 ### =SUM(G3:G43)+sl*$C$45 ### =LOG(Izero/E45;10) =LOG(Izero/F45;10) =LOG(Izero/G45;10) ### =E2*$D$23*b =F2*$D$23*b =G2*$D$23*b =H2*$D$23*b =I2*$D$23*b =J2*$D$23*b =K2*$D$23*b =(E46-intercept)/slope =(F46-intercept)/slope =(G46-intercept)/slope ### =E2-E48 =F2-F48 =G2-G48 =H2-H48 =I2-I48 =J2-J48 =K2-K48 =E49/$N$47 =F49/$N$47 =G49/$N$47 =H49/$N$47 =I49/$N$47 =J49/$N$47 =K49/$N$47 =STDEV(E50:N50) slope= =SLOPE(E$46:N$46;E$2:N$2) Intercept= =INTERCEPT(E$46:N$46;E$2:N$2) R2= =RSQ(E$46:N$46;E$2:N$2) Seite 10
11 =Sheet1.H10 =Sheet1.H11 =Sheet1.H12 Seite 11
12 =L2*$D$23*b ### =N2*$D$23*b =L2-L48 =M2-M48 =N2-N48 =L49/$N$47 =M49/$N$47 =N49/$N$47 Seite 12
Ε Κ Θ Ε Σ Η Δ Ο Κ Ι Μ Ω Ν
Αριθμός έκθεζης δοκιμών / Test report number Σειριακός αριθμός οργάνοσ / Instrument serial No T Πελάηης / Customer TOTAL Q Επγαζηήπια Διακπιβώζεων A.E. Κοπγιαλενίος 20, Τ.Κ. 11526 Αθήνα 20 Korgialeniou
Διαβάστε περισσότερα1.8 Paul Mother Wavelet Real Part Imaginary Part Magnitude.6.4 Amplitude.2.2.4.6.8 1 8 6 4 2 2 4 6 8 1 t .8.6 Real Part of Three Scaled Wavelets a = 1 a = 5 a = 1 1.2 1 Imaginary Part of Three Scaled Wavelets
Διαβάστε περισσότεραTUBO LED T8 LLUMOR PROLED ULTRA 25W 150CM
PHOTOMETRIC TEST REPORT Luminaire Property Luminaire: Report NO.: Test NO.: Lamp: LLUMOR-PLU-25W-T8-6000K Sum Lumens: 4092.59 lm Number of Lamps: 1 Diameter: 0mm Length: 1512mm Photometric Type: Type C
Διαβάστε περισσότεραΚΕΦ. 8 ΦΑΣΜΑΤΟΦΩΤΟΜΕΤΡΙΑ ΥΠΕΡΙΩΔΟΥΣ ΟΡΑΤΟΥ UV-Vis Μ. ΚΟΥΠΠΑΡΗΣ ΠΑΡΑΔΟΣΕΙΣ ΑΝΑΛΥΤΙΚΗΣ ΧΗΜΕΙΑΣ ΙΙ
ΚΕΦ. 8 ΦΑΣΜΑΤΟΦΩΤΟΜΕΤΡΙΑ ΥΠΕΡΙΩΔΟΥΣ ΟΡΑΤΟΥ UV-Vis Φασματοφωτομετρία Απορροφήσεως (1) Μια από τις χρησιμότερες αναλυτικές τεχνικές στη φαρμακευτική ανάλυση Πάρα πολλά φάρμακα απορροφούν ηλεκτρομαγνητική
Διαβάστε περισσότεραTUBO LED T8 LLUMOR PROLED 25W 150CM
PHOTOMETRIC TEST REPORT Luminaire Property Luminaire: Report NO.: Test NO.: Lamp: LLUMOR-PL-T8-25W 6000K Sum Lumens: 3473.92 lm Number of Lamps: 1 Diameter: 0mm Length: 1500mm Photometric Type: Type C
Διαβάστε περισσότεραImpact of ozone cross-section choice on (WF)DOAS total ozone retrieval
Impact of ozone cross-section choice on (WF)DOAS total ozone retrieval M. Weber, W. Chehade, A. Serdyuchenko, J. P. Burrows Universität Bremen FB1, Institut für Umweltphysik (iup) weber@uni-bremen.de http://www.iup.uni-bremen.de/uvsat
Διαβάστε περισσότεραTUBO LED T8 LLUMOR PROLED 18W 120CM
Luminaire Property Luminaire: Report NO.: Test NO.: Lamp: LLUMOR-PL-T8-18W 6000K Sum Lumens: 2483.33 lm Number of Lamps: 1 Diameter: 0mm Length: 1200mm Photometric Type: Type C Photometric Results Voltage:
Διαβάστε περισσότεραElectronic Supplementary Information
Electronic Supplementary Information Cucurbit[7]uril host-guest complexes of the histamine H 2 -receptor antagonist ranitidine Ruibing Wang and Donal H. Macartney* Department of Chemistry, Queen s University,
Διαβάστε περισσότεραOptimizing Microwave-assisted Extraction Process for Paprika Red Pigments Using Response Surface Methodology
2012 34 2 382-387 http / /xuebao. jxau. edu. cn Acta Agriculturae Universitatis Jiangxiensis E - mail ndxb7775@ sina. com 212018 105 W 42 2 min 0. 631 TS202. 3 A 1000-2286 2012 02-0382 - 06 Optimizing
Διαβάστε περισσότεραCurrent Status of PF SAXS beamlines. 07/23/2014 Nobutaka Shimizu
Current Status of PF SAXS beamlines 07/23/2014 Nobutaka Shimizu BL-6A Detector SAXS:PILATUS3 1M WAXD:PILATUS 100K Wavelength 1.5Å (Fix) Camera Length 0.25, 0.5, 1.0, 2.0, 2.5 m +WAXD Chamber:0.75, 1.0,
Διαβάστε περισσότεραElectronic Supplementary Information (ESI)
Electronic Supplementary Material (ESI) for RSC Advances. This journal is The Royal Society of Chemistry 2016 Electronic Supplementary Information (ESI) Cyclopentadienyl iron dicarbonyl (CpFe(CO) 2 ) derivatives
Διαβάστε περισσότεραBiostatistics for Health Sciences Review Sheet
Biostatistics for Health Sciences Review Sheet http://mathvault.ca June 1, 2017 Contents 1 Descriptive Statistics 2 1.1 Variables.............................................. 2 1.1.1 Qualitative........................................
Διαβάστε περισσότεραTABLES AND FORMULAS FOR MOORE Basic Practice of Statistics
TABLES AND FORMULAS FOR MOORE Basic Practice of Statistics Exploring Data: Distributions Look for overall pattern (shape, center, spread) and deviations (outliers). Mean (use a calculator): x = x 1 + x
Διαβάστε περισσότεραMonolithic Crystal Filters (M.C.F.)
Monolithic Crystal Filters (M.C.F.) MCF (MONOLITHIC CRYSTAL FILTER) features high quality quartz resonators such as sharp cutoff characteristics, low loss, good inter-modulation and high stability over
Διαβάστε περισσότεραHPLC. Spectrophotometric Measurement of Carbendazim Residue Levels in Cucumber and its Comparision with HPLC. Multivariate Curve
HPLC Spectrophotometric Measurement of Carbendazim Residue Levels in Cucumber and its Comparision with HPLC ( : : ). Multivariate Curve Resolution-Alternative Least Squares(MCR-ALS). MCR-ALS.. UV-Vis.
Διαβάστε περισσότεραΠρόβλημα 1: Αναζήτηση Ελάχιστης/Μέγιστης Τιμής
Πρόβλημα 1: Αναζήτηση Ελάχιστης/Μέγιστης Τιμής Να γραφεί πρόγραμμα το οποίο δέχεται ως είσοδο μια ακολουθία S από n (n 40) ακέραιους αριθμούς και επιστρέφει ως έξοδο δύο ακολουθίες από θετικούς ακέραιους
Διαβάστε περισσότεραΜενύχτα, Πιπερίγκου, Σαββάτης. ΒΙΟΣΤΑΤΙΣΤΙΚΗ Εργαστήριο 6 ο
Παράδειγμα 1 Ο παρακάτω πίνακας δίνει τις πωλήσεις (ζήτηση) ενός προϊόντος Υ (σε κιλά) από το delicatessen μιας περιοχής και τις αντίστοιχες τιμές Χ του προϊόντος (σε ευρώ ανά κιλό) για μια ορισμένη χρονική
Διαβάστε περισσότεραΟΙΚΟΝΟΜΕΤΡΙΑ. Βιολέττα Δάλλα. Εθνικό και Καποδιστριακό Πανεπιστήµιο Αθηνών
ΟΙΚΟΝΟΜΕΤΡΙΑ Βιολέττα Δάλλα Τµήµα Οικονοµικών Επιστηµών Εθνικό και Καποδιστριακό Πανεπιστήµιο Αθηνών 1 Εισαγωγή Οικονοµετρία (Econometrics) είναι ο τοµέας της Οικονοµικής επιστήµης που περιγράφει και αναλύει
Διαβάστε περισσότεραIV. ANHANG 179. Anhang 178
Anhang 178 IV. ANHANG 179 1. Röntgenstrukturanalysen (Tabellen) 179 1.1. Diastereomer A (Diplomarbeit) 179 1.2. Diastereomer B (Diplomarbeit) 186 1.3. Aldoladdukt 5A 193 1.4. Aldoladdukt 13A 200 1.5. Aldoladdukt
Διαβάστε περισσότεραNPI Unshielded Power Inductors
FEATURES NON-SHIELDED MAGNETIC CIRCUIT DESIGN SMALL SIZE WITH CURRENT RATINGS TO 16.5 AMPS SURFACE MOUNTABLE CONSTRUCTION TAKES UP LESS PCB REAL ESTATE AND SAVES MORE POWER TAPED AND REELED FOR AUTOMATIC
Διαβάστε περισσότεραPatrycja Miszczyk, Dorota Wieczorek, Joanna Gałęzowska, Błażej Dziuk, Joanna Wietrzyk and Ewa Chmielewska. 1. Spectroscopic Data.
; doi:10.3390/molecules22020254 S1 of S23 Supplementary Materials: Reaction of 3-Amino-1,2,4-Triazole with Diethyl Phosphite and Triethyl Orthoformate: Acid-Base Properties and Antiosteoporotic Activities
Διαβάστε περισσότεραQueensland University of Technology Transport Data Analysis and Modeling Methodologies
Queensland University of Technology Transport Data Analysis and Modeling Methodologies Lab Session #7 Example 5.2 (with 3SLS Extensions) Seemingly Unrelated Regression Estimation and 3SLS A survey of 206
Διαβάστε περισσότεραHigh Performance Voltage Controlled Amplifiers Typical and Guaranteed Specifications 50 Ω System
High Performance Voltage Controlled Amplifiers Typical and Guaranteed Specifications 50 Ω System Typical and guaranteed specifications vary versus frequency; see detailed data sheets for specification
Διαβάστε περισσότερα1 1 1 2 1 2 2 1 43 123 5 122 3 1 312 1 1 122 1 1 1 1 6 1 7 1 6 1 7 1 3 4 2 312 43 4 3 3 1 1 4 1 1 52 122 54 124 8 1 3 1 1 1 1 1 152 1 1 1 1 1 1 152 1 5 1 152 152 1 1 3 9 1 159 9 13 4 5 1 122 1 4 122 5
Διαβάστε περισσότεραArtiste Picasso 9.1. Total Lumen Output: lm. Peak: cd 6862 K CRI: Lumen/Watt. Date: 4/27/2018
Color Temperature: 62 K Total Lumen Output: 21194 lm Light Quality: CRI:.7 Light Efficiency: 27 Lumen/Watt Peak: 1128539 cd Power: 793 W x: 0.308 y: 0.320 Test: Narrow Date: 4/27/2018 0 Beam Angle 165
Διαβάστε περισσότεραα + α+ α! (=+9 [1] ι «Analyze-Regression-Linear». «Dependent» ι η η η!ηη ι «Independent(s)» η!ηη. # ι ι ι!η " ι ιηη, ι!" ι ηιι. 1 SPSS ι η η ι ιηη ι η
# η &, ε ε 007, ιη Pearson r "η η ι ι ι η ι!ι ι ι η ι η!ηη ι ι!ηη. η ι ιηη ι" η ι!"ι 0 ι η ( α ι ι α η 9 ( ι ι / + -predctor varable). * ι ι ι ι η ι ι ι!ηη η "ι ι ι ι!ηη η ι ι η η ι 'ι ι ι (η ) ι η ( "
Διαβάστε περισσότεραΠανεπιστήμιο Κρήτης, Τμήμα Επιστήμης Υπολογιστών Άνοιξη 2009. HΥ463 - Συστήματα Ανάκτησης Πληροφοριών Information Retrieval (IR) Systems
Πανεπιστήμιο Κρήτης, Τμήμα Επιστήμης Υπολογιστών Άνοιξη 2009 HΥ463 - Συστήματα Ανάκτησης Πληροφοριών Information Retrieval (IR) Systems Στατιστικά Κειμένου Text Statistics Γιάννης Τζίτζικας άλ ιάλεξη :
Διαβάστε περισσότεραEight Examples of Linear and Nonlinear Least Squares
Eight Examples of Linear and Nonlinear Least Squares CEE 699.4, ME 99.4 Sstem Identification Fall, 21 c Henri P. Gavin, September 2, 21 1 Not polnomial, but linear in parameters. ŷ(t i ; a) = a 1 sin(t
Διαβάστε περισσότεραGAUGE BLOCKS. Grade 0 Tolerance for the variation in length. Limit deviation of length. ± 0.25μm. 0.14μm ±0.80μm. ± 1.90μm. ± 0.40μm. ± 1.
GAUGE BLOCKS Accuracy according to ISO650 Nominal length (mm) Limit deviation of length Grade 0 Tolerance for the variation in length Grade Grade Grade Grade 2 Limit deviations of Tolerance for the Limit
Διαβάστε περισσότεραSUPPORTING INFORMATION. Diastereoselective synthesis of nitroso acetals from (S,E)- -aminated
SUPPORTING INFORMATION for Diastereoselective synthesis of nitroso acetals from (S,E)- -aminated nitroalkenes via multicomponent [4 + 2]/[3 + 2] cycloadditions promoted by LiCl or LiClO 4 Leandro Lara
Διαβάστε περισσότεραNumerical Analysis FMN011
Numerical Analysis FMN011 Carmen Arévalo Lund University carmen@maths.lth.se Lecture 12 Periodic data A function g has period P if g(x + P ) = g(x) Model: Trigonometric polynomial of order M T M (x) =
Διαβάστε περισσότεραk A = [k, k]( )[a 1, a 2 ] = [ka 1,ka 2 ] 4For the division of two intervals of confidence in R +
Chapter 3. Fuzzy Arithmetic 3- Fuzzy arithmetic: ~Addition(+) and subtraction (-): Let A = [a and B = [b, b in R If x [a and y [b, b than x+y [a +b +b Symbolically,we write A(+)B = [a (+)[b, b = [a +b
Διαβάστε περισσότεραThin Film Chip Resistors
FEATURES PRECISE TOLERANCE AND TEMPERATURE COEFFICIENT EIA STANDARD CASE SIZES (0201 ~ 2512) LOW NOISE, THIN FILM (NiCr) CONSTRUCTION REFLOW SOLDERABLE (Pb FREE TERMINATION FINISH) Type Size EIA PowerRating
Διαβάστε περισσότεραProbability and Random Processes (Part II)
Probability and Random Processes (Part II) 1. If the variance σ x of d(n) = x(n) x(n 1) is one-tenth the variance σ x of a stationary zero-mean discrete-time signal x(n), then the normalized autocorrelation
Διαβάστε περισσότεραdifluoroboranyls derived from amides carrying donor group Supporting Information
The influence of the π-conjugated spacer on photophysical properties of difluoroboranyls derived from amides carrying donor group Supporting Information Anna Maria Grabarz a Adèle D. Laurent b, Beata Jędrzejewska
Διαβάστε περισσότεραΣυνδυασμός Μαθηματικών με γραφικές παραστάσεις
Το πρόγραμμα Origin Συνδυασμός Μαθηματικών με γραφικές παραστάσεις Δημιουργία γραφικής παράστασης συνάρτησης Για να δημιουργήσετε τη γραφική παράσταση από μια συνάρτηση επιλέξτε File-New-Graph To Origin
Διαβάστε περισσότερα22 .5 Real consumption.5 Real residential investment.5.5.5 965 975 985 995 25.5 965 975 985 995 25.5 Real house prices.5 Real fixed investment.5.5.5 965 975 985 995 25.5 965 975 985 995 25.3 Inflation
Διαβάστε περισσότεραΑΝΑΛΥΣΗ Ε ΟΜΕΝΩΝ. 7. Παλινδρόµηση
ΑΝΑΛΥΣΗ Ε ΟΜΕΝΩΝ 7. Παλινδρόµηση Γενικά Επέκταση της έννοιας της συσχέτισης: Πώς µπορούµε να προβλέπουµε τη µια µεταβλητή από την άλλη; Απλή παλινδρόµηση (simple regression): Κατασκευή µοντέλου πρόβλεψης
Διαβάστε περισσότεραTemperature: 25.5 CRH: 65% Spectrum Range: nm Scan Step: 5 nm. Spectral Distribution CIE1931 Chromaticity Diagram
Report of Spectroradiometric & Electric Analysis for Light Source ========================================================================= Model No.: LED-WP-40XXX Sample SN: S01 Test Report No.: BSR1502060101-9
Διαβάστε περισσότεραSECTION II: PROBABILITY MODELS
SECTION II: PROBABILITY MODELS 1 SECTION II: Aggregate Data. Fraction of births with low birth weight per province. Model A: OLS, using observations 1 260 Heteroskedasticity-robust standard errors, variant
Διαβάστε περισσότεραTemperature: 25.5 CRH: 65% Spectrum Range: nm Scan Step: 5 nm. Spectral Distribution CIE1931 Chromaticity Diagram
Report of Spectroradiometric & Electric Analysis for Light Source ========================================================================= Model No.: LED-WP35-XXX Sample SN: S01 Test Report No.: BSR1501090101-10
Διαβάστε περισσότεραOdometry Calibration by Least Square Estimation
Robotics 2 Odometry Calibration by Least Square Estimation Giorgio Grisetti Kai Arras Gian Diego Tipaldi Cyrill Stachniss Wolfram Burgard SA-1 Least Squares Minimization The minimization algorithm proceeds
Διαβάστε περισσότεραAquinas College. Edexcel Mathematical formulae and statistics tables DO NOT WRITE ON THIS BOOKLET
Aquinas College Edexcel Mathematical formulae and statistics tables DO NOT WRITE ON THIS BOOKLET Pearson Edexcel Level 3 Advanced Subsidiary and Advanced GCE in Mathematics and Further Mathematics Mathematical
Διαβάστε περισσότεραAI, A2, A3, A4, A5, A6, A7 AIAI, AIA2, AIA3, AIA4, AIA5, AIA6, AIA7 BI, B2, B3, B4, B5, B6, B7 BIBI, BIB2, BIB3, BIB4, BIB5, BIB6, BIB7
Δίφυλλη θύρα τηλεσκοπικού ανοίγματος Two panel telescopic door AI, A2, A3, A4, A5, A6, A7 Δίφυλλη θύρα τηλεσκοπικού ανοίγματος - A2 Two panel telescopic door - A2 AAI, AA2, AA3, AA4, AA5, AA6, AA7 Δίφυλλη
Διαβάστε περισσότεραΜουσική Πληροφορική. Αλέξανδρος Ελευθεριάδης Αναπ. Καθηγητής Τµήµα Πληροφορικής και Τηλεπικοινωνιών Εθνικό και Καποδιστριακό Πανεπιστήµιο Αθηνών
Μουσική Πληροφορική [Διάλεξη 2 (DSP)] Αλέξανδρος Ελευθεριάδης Αναπ. Καθηγητής Τµήµα Πληροφορικής και Τηλεπικοινωνιών Εθνικό και Καποδιστριακό Πανεπιστήµιο Αθηνών eleft@di.uoa.gr, (2) 727-52 4. Μη Γραµµική
Διαβάστε περισσότεραBulletin 1489 UL489 Circuit Breakers
Bulletin 489 UL489 Circuit Breakers Tech Data 489-A Standard AC Circuit Breaker 489-D DC Circuit Breaker 489-A, AC Circuit Breakers 489-D, DC Circuit Breakers Bulletin 489-A Industrial Circuit Breaker
Διαβάστε περισσότεραSzabolcs Sofalvi, M.S., D-ABFT-FT Cleveland, Ohio
Statistical Tools for SWGTOX Method Validation of 11 Benzodiazepines in Whole Blood by SPE and GC/MS Szabolcs Sofalvi, M.S., D-ABFT-FT Cleveland, Ohio Disclaimer Neither I nor any member of my immediate
Διαβάστε περισσότεραOutline Analog Communications. Lecture 05 Angle Modulation. Instantaneous Frequency and Frequency Deviation. Angle Modulation. Pierluigi SALVO ROSSI
Outline Analog Communications Lecture 05 Angle Modulation 1 PM and FM Pierluigi SALVO ROSSI Department of Industrial and Information Engineering Second University of Naples Via Roma 9, 81031 Aversa (CE),
Διαβάστε περισσότεραΔιερεύνηση ακουστικών ιδιοτήτων Νεκρομαντείου Αχέροντα
Διερεύνηση ακουστικών ιδιοτήτων Νεκρομαντείου Αχέροντα Βασίλειος Α. Ζαφρανάς Παναγιώτης Σ. Καραμπατζάκης ΠΕΡΙΛΗΨΗ H εργασία αφορά μία σειρά μετρήσεων του χρόνου αντήχησης της υπόγειας κρύπτης του «Νεκρομαντείου»
Διαβάστε περισσότεραvibrational Supplementary density of the Beyer-
Supplementary Figure 1 Vibrational ion distributions and density of vibrational states (per cm -1 ). a, picene +, b, pentacene +. Thermal ion fraction distributions of picene and pentacene cations calculated
Διαβάστε περισσότεραΕΙΣΑΓΩΓΗ ΣΤΗ ΣΤΑΤΙΣΤΙΚΗ ΑΝΑΛΥΣΗ
ΕΙΣΑΓΩΓΗ ΣΤΗ ΣΤΑΤΙΣΤΙΚΗ ΑΝΑΛΥΣΗ ΕΛΕΝΑ ΦΛΟΚΑ Επίκουρος Καθηγήτρια Τµήµα Φυσικής, Τοµέας Φυσικής Περιβάλλοντος- Μετεωρολογίας ΓΕΝΙΚΟΙ ΟΡΙΣΜΟΙ Πληθυσµός Σύνολο ατόµων ή αντικειµένων στα οποία αναφέρονται
Διαβάστε περισσότερα(1) Describe the process by which mercury atoms become excited in a fluorescent tube (3)
Q1. (a) A fluorescent tube is filled with mercury vapour at low pressure. In order to emit electromagnetic radiation the mercury atoms must first be excited. (i) What is meant by an excited atom? (1) (ii)
Διαβάστε περισσότερα20/01/ of 8 TOW SSD v3. C 2.78AC Σ Cumul. A*C. Tc 1 =A14+1 =B14+1 =C14+1 =D14+1 =E14+1 =F14+1 =G14+1 =H14+1 =I14+1 =J14+1 =K14+1
20/01/2014 1 of 8 TOW SSD v3 Location Project a =IF(Design_Storm>0,VL b =IF(Design_Storm>0,VL c =IF(Design_Storm>0,VL Designed By Checked By Date Date Comment Min Tc 15 LOCATION From To MH or CBMH STA.
Διαβάστε περισσότεραchlorostibine Iou-Sheng Ke and François P. Gabbai Department of Chemistry, Texas A&M University, College Station, TX
σ-donor/acceptor confused ligands: The case of a chlorostibine Iou-Sheng Ke and François P. Gabbai Department of Chemistry, Texas A&M University, College Station, TX 77843-3255. *To whom correspondence
Διαβάστε περισσότερα1. Ηλεκτρικό μαύρο κουτί: Αισθητήρας μετατόπισης με βάση τη χωρητικότητα
IPHO_42_2011_EXP1.DO Experimental ompetition: 14 July 2011 Problem 1 Page 1 of 5 1. Ηλεκτρικό μαύρο κουτί: Αισθητήρας μετατόπισης με βάση τη χωρητικότητα Για ένα πυκνωτή χωρητικότητας ο οποίος είναι μέρος
Διαβάστε περισσότεραof the methanol-dimethylamine complex
Electronic Supplementary Information for: Fundamental and overtone virational spectroscopy, enthalpy of hydrogen ond formation and equilirium constant determination of the methanol-dimethylamine complex
Διαβάστε περισσότεραStatistics 104: Quantitative Methods for Economics Formula and Theorem Review
Harvard College Statistics 104: Quantitative Methods for Economics Formula and Theorem Review Tommy MacWilliam, 13 tmacwilliam@college.harvard.edu March 10, 2011 Contents 1 Introduction to Data 5 1.1 Sample
Διαβάστε περισσότεραTh, Ra, Rn, Po, Pb, Bi, & Tl K x-rays. Rn Kα1. Rn Kα2. 93( 227 Th)/Rn Kβ3. Ra Kα2. Po Kα2 /Bi K α1 79( 227 Th)/Po Kα1. Ra Kα1 /Bi K β1.
Page -1-10 8 10 7 10 6 10 5 10 4 334 ( Th) Counts/Channel 10 3 10 2 10 1 49 ( Th)/ 50 ( Th)/ 50 ( Fr) 0 100 200 300 400 500 600 700 800 900 1000 1000 1100 1200 1300 1400 1500 1600 1700 1800 1900 2000 Channel
Διαβάστε περισσότεραSUPPLEMENTAL INFORMATION. Fully Automated Total Metals and Chromium Speciation Single Platform Introduction System for ICP-MS
Electronic Supplementary Material (ESI) for Journal of Analytical Atomic Spectrometry. This journal is The Royal Society of Chemistry 2018 SUPPLEMENTAL INFORMATION Fully Automated Total Metals and Chromium
Διαβάστε περισσότεραNKT NTC Thermistor. Negative Temperature Coefficient Thermistor FEATURES
FEATURES Large, strong capacity of suppression of inrush current Big material (B value), small residual Small size, Long life, high reliability and fast response APPLICATIONS Switching -supply, switch,
Διαβάστε περισσότεραSecond Order RLC Filters
ECEN 60 Circuits/Electronics Spring 007-0-07 P. Mathys Second Order RLC Filters RLC Lowpass Filter A passive RLC lowpass filter (LPF) circuit is shown in the following schematic. R L C v O (t) Using phasor
Διαβάστε περισσότεραXKT. Metal Oxide Varistor FEATURES
FEATURES Operating Temperature Range: -40 ~+105 Body Diameters Range From 5D to 20D Wide Operating from 18V to 1800V Full compliance with RoSH and REH DIMENSION L:16mm min SIZE D MAX H MAX d+-0.05 E c
Διαβάστε περισσότεραPhotometric Data of Lamp
SSP6316-D5: Lamp Intensity Spatial Distribution of Tester Page 1/8 Photometric Data of Lamp Lamp Name: GL-66P36WW Lamp Size: Lamp Weight: Light Area: 6cm 6cm Measured Data of Lamp Voltage: 225. V Current:.287
Διαβάστε περισσότεραFirst Sensor Quad APD Data Sheet Part Description QA TO Order #
Responsivity (/W) First Sensor Quad PD Data Sheet Features Description pplication Pulsed 16 nm laser detection RoHS 211/65/EU Light source positioning Laser alignment ø mm total active area Segmented in
Διαβάστε περισσότεραMock Exam 7. 1 Hong Kong Educational Publishing Company. Section A 1. Reference: HKDSE Math M Q2 (a) (1 + kx) n 1M + 1A = (1) =
Mock Eam 7 Mock Eam 7 Section A. Reference: HKDSE Math M 0 Q (a) ( + k) n nn ( )( k) + nk ( ) + + nn ( ) k + nk + + + A nk... () nn ( ) k... () From (), k...() n Substituting () into (), nn ( ) n 76n 76n
Διαβάστε περισσότεραAreas and Lengths in Polar Coordinates
Kiryl Tsishchanka Areas and Lengths in Polar Coordinates In this section we develop the formula for the area of a region whose boundary is given by a polar equation. We need to use the formula for the
Διαβάστε περισσότεραGeographic Barriers to Commodity Price Integration: Evidence from US Cities and Swedish Towns,
Crawford School of Public Policy CAMA Centre for Applied Macroeconomic Analysis Geographic Barriers to Commodity Price Integration: Evidence from US Cities and Swedish Towns, 1732-1860 CAMA Working Paper
Διαβάστε περισσότεραΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 11/3/2006
ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 11/3/26 Οδηγίες: Να απαντηθούν όλες οι ερωτήσεις. Ολοι οι αριθμοί που αναφέρονται σε όλα τα ερωτήματα μικρότεροι το 1 εκτός αν ορίζεται διαφορετικά στη διατύπωση
Διαβάστε περισσότεραSMD Transient Voltage Suppressors
SMD Transient Suppressors Feature Full range from 0 to 22 series. form 4 to 60V RMS ; 5.5 to 85Vdc High surge current ability Bidirectional clamping, high energy Fast response time
Διαβάστε περισσότεραχ 2 test ανεξαρτησίας
χ 2 test ανεξαρτησίας Καθηγητής Ι. Κ. ΔΗΜΗΤΡΙΟΥ demetri@econ.uoa.gr 7.2 Το χ 2 Τεστ Ανεξαρτησίας Tο χ 2 τεστ ανεξαρτησίας (όπως και η παλινδρόμηση) είναι στατιστικά εργαλεία για τον εντοπισμό σχέσεων μεταξύ
Διαβάστε περισσότεραElectronic Supplementary Information (ESI)
Electronic Supplementary Information (ESI) Lanthanide metal-organic frameworks constructed by asymmetric 2-nitro-biphenyl-4,4 -dicarboxylate ligand: syntheses, structures, luminescence and magnetic investigations
Διαβάστε περισσότεραΆσκηση 10, σελ. 119. Για τη μεταβλητή x (άτυπος όγκος) έχουμε: x censored_x 1 F 3 F 3 F 4 F 10 F 13 F 13 F 16 F 16 F 24 F 26 F 27 F 28 F
Άσκηση 0, σελ. 9 από το βιβλίο «Μοντέλα Αξιοπιστίας και Επιβίωσης» της Χ. Καρώνη (i) Αρχικά, εισάγουμε τα δεδομένα στο minitab δημιουργώντας δύο μεταβλητές: τη x για τον άτυπο όγκο και την y για τον τυπικό
Διαβάστε περισσότεραSUPPLEMENTARY MATERIAL. A Facile and Convenient Approach for the Synthesis of Novel Sesamol-Oxazine and Quinoline- Oxazine Hybrids
10.1071/CH17272_AC CSIRO 2017 Australian Journal of Chemistry 2017, 70(12), 1285-1290 SUPPLEMENTARY MATERIAL A Facile and Convenient Approach for the Synthesis of Novel Sesamol-Oxazine and Quinoline- Oxazine
Διαβάστε περισσότεραΕιζαγωγή ζηο MATLAB (MATLAB Fundamentals)
Ειζαγωγή ζηο MATLAB (MATLAB Fundamentals) Training Objectives Σο ςεμινάριο είναι διάρκειασ δφο (2) θμερϊν και καλφπτει ειςαγωγικά κζματα ςτθν χριςθ του λογιςμικοφ MATLAB. Απευκφνεται ςε καινοφργιουσ χριςτεσ
Διαβάστε περισσότεραSupplementary Information 1.
Supplementary Information 1. Fig. S1. Correlations between litter-derived-c and N (percent of initial input) and Al-/Fe- (hydr)oxides dissolved by ammonium oxalate (AO); a) 0 10 cm; b) 10 20 cm; c) 20
Διαβάστε περισσότεραΔείγμα (μεγάλο) από οποιαδήποτε κατανομή
ΒΙΟΣΤΑΤΙΣΤΙΚΗ Εργαστήριο 4ο Κατανομές Στατιστικών Συναρτήσεων Δείγμα από κανονική κατανομή Έστω Χ= Χ Χ Χ τ.δ. από Ν µσ τότε ( 1,,..., n) (, ) Τ Χ Χ Ν Τ Χ σ σ Χ Τ Χ n Χ S µ S µ 1( ) = (0,1), ( ) = ( n 1)
Διαβάστε περισσότεραΕΚΘΕΣΗ ΦΩΤΟΜΕΤΡΗΣΕΩΝ PHOTOMETRIC TEST REPORT. Αντικείμενο μετρήσεων: Λαμπτήρας Ε40 με LEDs / Item tested: E40 lamp with LEDs
ΕΘΝΙΚΟ ΜΕΤΣΟΒΙΟ ΠΟΛΥΤΕΧΝΕΙΟ NATIONAL TECHNICAL UNIVERSITY OF ATHENS Σχολή Ηλεκτρολόγων Μηχανικών & Μηχανικών Υπολογιστών School of Electrical & Computer Engineering Εργαστήριο Φωτομετρίας / Laboratory
Διαβάστε περισσότεραEnantioselective Synthesis of the Anti-inflammatory Agent ( )-Acanthoic Acid
Enantioselective Synthesis of the Anti-inflammatory Agent ( )-Acanthoic Acid Taotao Ling, a Chinmay Chowdhury, a Bryan A. Kramer, a Binh G. Vong, a Michael A. Palladino b and Emmanuel A. Theodorakis a
Διαβάστε περισσότεραUDZ Swirl diffuser. Product facts. Quick-selection. Swirl diffuser UDZ. Product code example:
UDZ Swirl diffuser Swirl diffuser UDZ, which is intended for installation in a ventilation duct, can be used in premises with a large volume, for example factory premises, storage areas, superstores, halls,
Διαβάστε περισσότεραLight Source Test Report
Spectrophotocolorimeter Test Report Page 1 of 1 Light Source Test Report 1. 1. = 213mW/nm 5.8 SDCM.5. 38.4. 5. 6. 7. 8. Wavelength(nm) x=.319 y=.347 61K/YANKON CIE Color Parameters: Chromaticity Coordinate:x=.3272
Διαβάστε περισσότεραThin Film Chip Resistors
FETURES PRECISE TOLERNCE ND TEMPERTURE COEFFICIENT EI STNDRD CSE SIZES (0201 ~ 2512) LOW NOISE, THIN FILM (NiCr) CONSTRUCTION REFLOW SOLDERLE (Pb FREE TERMINTION FINISH) Type EI Size Power Rating at 70
Διαβάστε περισσότεραLampiran 1 Output SPSS MODEL I
67 Variables Entered/Removed(b) Lampiran 1 Output SPSS MODEL I Model Variables Entered Variables Removed Method 1 CFO, ACCOTHER, ACCPAID, ACCDEPAMOR,. Enter ACCREC, ACCINV(a) a All requested variables
Διαβάστε περισσότεραΕργαστήριο Ανάπτυξης Εφαρμογών Βάσεων Δεδομένων. Εξάμηνο 7 ο
Εργαστήριο Ανάπτυξης Εφαρμογών Βάσεων Δεδομένων Εξάμηνο 7 ο Procedures and Functions Stored procedures and functions are named blocks of code that enable you to group and organize a series of SQL and PL/SQL
Διαβάστε περισσότεραAreas and Lengths in Polar Coordinates
Kiryl Tsishchanka Areas and Lengths in Polar Coordinates In this section we develop the formula for the area of a region whose boundary is given by a polar equation. We need to use the formula for the
Διαβάστε περισσότεραΕΚΘΕΣΗ ΦΩΤΟΜΕΤΡΗΣΕΩΝ PHOTOMETRIC TEST REPORT
ΕΘΝΙΚΟ ΜΕΤΣΟΒΙΟ ΠΟΛΥΤΕΧΝΕΙΟ NATIONAL TECHNICAL UNIVERSITY OF ATHENS Σχολή Ηλεκτρολόγων Μηχανικών & Μηχανικών Υπολογιστών School of Electrical & Computer Engineering Εργαστήριο Φωτοτεχνίας / Laboratory
Διαβάστε περισσότεραQuantitative chemical analyses of rocks with X-ray fluorescence analyzer: major and trace elements in ultrabasic rocks
98 Scientific Note X : Quantitative chemical analyses of rocks with X-ray fluorescence analyzer: major and trace elements in ultrabasic rocks Kimiko Seno and Yoichi Motoyoshi,**- +, +, ;,**. -,/ Abstract:
Διαβάστε περισσότεραThe Echellograms and Response Functions from zj to M bands Calculated by Echelle Simulator V0.9 for IRCS
The Echellograms and Response Functions from zj to M bands Calculated by Echelle Simulator V0.9 for IRCS Tae-Soo Pyo pyo@subaru.naoj.org Subaru Telescope National Astronomical Observatory of Japan April
Διαβάστε περισσότεραΦροντιστήριο Βιοστατιστικής. Έλεγχος Υποθέσεων. Παύλος Αγιανιάν Επικ. Καθηγητής ΔΠΘ
Φροντιστήριο Βιοστατιστικής Έλεγχος Υποθέσεων Παύλος Αγιανιάν Επικ. Καθηγητής ΔΠΘ Αλεξανδρούπολη 215 Αρχική Κατανομή N (μ ο, σ 2 ) μ ο Τυποποιημένη Κατανομή N (, 1) -Z 1-α/2 Z 1-α/2 N (, 1) N (μ ο, σ 2
Διαβάστε περισσότεραΥπολογιστική Φυσική Στοιχειωδών Σωματιδίων
Υπολογιστική Φυσική Στοιχειωδών Σωματιδίων Όρια Πιστότητας (Confidence Limits) 2/4/2014 Υπολογ.Φυσική ΣΣ 1 Τα όρια πιστότητας -Confidence Limits (CL) Tα όρια πιστότητας μιας μέτρησης Μπορεί να αναφέρονται
Διαβάστε περισσότεραVAR Series Zinc Oxide Varistor
FEATURES Round Zinc Oxide, leaded Coating: epoxy resin, flame-retardant material Operating Temperature Range: -40 ~+105 Wide operating voltage Approvals: CQ C, UL, VDE RoHS 201165EU; REACH Compliant High
Διαβάστε περισσότεραMatrices and vectors. Matrix and vector. a 11 a 12 a 1n a 21 a 22 a 2n A = b 1 b 2. b m. R m n, b = = ( a ij. a m1 a m2 a mn. def
Matrices and vectors Matrix and vector a 11 a 12 a 1n a 21 a 22 a 2n A = a m1 a m2 a mn def = ( a ij ) R m n, b = b 1 b 2 b m Rm Matrix and vectors in linear equations: example E 1 : x 1 + x 2 + 3x 4 =
Διαβάστε περισσότεραΕΝ ΕΙΚΤΙΚΕΣ ΑΠΑΝΤΗΣΕΙΣ ΑΣΚΗΣΗΣ 2 (Εργαστήρια µαθήµατος «Στατιστικά Προγράµµατα», τµ. Στατ. & Ασφ. Επιστ., 04-05) (Επιµέλεια: Ελευθεράκη Αναστασία)
ΕΝ ΕΙΚΤΙΚΕΣ ΑΠΑΝΤΗΣΕΙΣ ΑΣΚΗΣΗΣ (Εργαστήρια µαθήµατος «Στατιστικά Προγράµµατα», τµ. Στατ. & Ασφ. Επιστ., -) (Επιµέλεια: Ελευθεράκη Αναστασία) Άσκηση (Εργαστήριο #) Στις εξετάσεις Φεβρουαρίου του µαθήµατος
Διαβάστε περισσότεραΣΥΣΧΕΤΙΣΗ & ΠΑΛΙΝΔΡΟΜΗΣΗ
ΣΥΣΧΕΤΙΣΗ & ΠΑΛΙΝΔΡΟΜΗΣΗ Για να προσδιορίσουμε την ύπαρξη σχέσης μεταξύ μεταβλητών, χρησιμοποιούμε την ανάλυση συσχέτισης. Για να προβλέψουμε την τιμή μιας μεταβλητής (εξαρτημένη μεταβλητή) με τη βοήθεια
Διαβάστε περισσότεραFORMULAS FOR STATISTICS 1
FORMULAS FOR STATISTICS 1 X = 1 n Sample statistics X i or x = 1 n x i (sample mean) S 2 = 1 n 1 s 2 = 1 n 1 (X i X) 2 = 1 n 1 (x i x) 2 = 1 n 1 Xi 2 n n 1 X 2 x 2 i n n 1 x 2 or (sample variance) E(X)
Διαβάστε περισσότεραLED Flood Light BLP FL48W01. V(B) Range:-80-80DEG V(B) Interval: 5.0DEG Test System:EVERFINE GO-2000B_V1 SYSTEM V
Page 1 Of 9 LED Flood Light BLP FL48W1 Light Output Ratio: 1.% Luminaire Power: 52.4 W 9% Beam Spread 63.7V x 34.5H 5% Beam Lumens 762 lumens per klm. Page 2 Of 9 BLP FL48W1 Floodlight Summary: Report
Διαβάστε περισσότεραLED Flood Light BLP FL16W01. V(B) Range:-80-80DEG V(B) Interval: 5.0DEG Test System:EVERFINE GO-2000B_V1 SYSTEM V
Page 1 Of 9 LED Flood Light BLP FL16W1 Light Output Ratio: 1.% Luminaire Power: 18.1 W % Beam Spread 17.6V x 66.6H 5% Beam Lumens 716.4 lumens per klm. Page 2 Of 9 BLP FL16W1 Floodlight Summary: Report
Διαβάστε περισσότεραPhoto-Induced Self-Assembly of Pt(II)-Linked Rings and Cages via the Photolabilization of a Pt(II) Pyridine Bond
Photo-Induced Self-Assembly of Pt(II)-Linked Rings and Cages via the Photolabilization of a Pt(II) Pyridine Bond Ken-ichi Yamashita, Kei-ichi Sato, Masaki Kawano and Makoto Fujita* Contents; Figure S1.
Διαβάστε περισσότεραLED Flood Light BLP FL36W01. V(B) Range:-80-80DEG V(B) Interval: 5.0DEG Test System:EVERFINE GO-2000B_V1 SYSTEM V
Page 1 Of 9 LED Flood Light BLP FL36W1 Light Output Ratio: 1.% Luminaire Power: 38 W % Beam Spread 55.8V x 36.1H 5% Beam Lumens 698.1 lumens per klm. Page 2 Of 9 BLP FL36W1 Floodlight Summary: Report based
Διαβάστε περισσότεραΦΑΣΜΑΤΟΜΕΤΡΙΑ ΥΠΕΡΙΩΔΟΥΣ- ΟΡΑΤΟΥ, UV-Vis (ULTRAVIOLET- VISIBLE SPECTROMETRY) ΑΘΗΝΑ, ΟΚΤΩΒΡΙΟΣ 2015
ΦΑΣΜΑΤΟΜΕΤΡΙΑ ΥΠΕΡΙΩΔΟΥΣ- ΟΡΑΤΟΥ, UV-Vis (ULTRAVIOLET- VISIBLE SPECTROMETRY) ΑΘΗΝΑ, ΟΚΤΩΒΡΙΟΣ 2015 ΑΡΧΗ ΤΗΣ ΜΕΘΟΔΟΥ Η Φασματομετρία UV-Vis στηρίζεται στην μέτρηση της απορρόφησης ηλεκτρομαγνητικής ακτινοβολίας
Διαβάστε περισσότεραITU-R BT.1908 (2012/01) !" # $ %& '( ) * +, - ( )
(2012/01)!" # $ %& '( ) * +, - 0 1 "'./ ( ) BT ii.. (IPR) (ITU-T/ITU-R/ISO/IEC).ITU-R 1 1 http://www.itu.int/itu-r/go/patents/en. (http://www.itu.int/publ/r-rec/en ) () ( ) BO BR BS BT F M P RA RS S SA
Διαβάστε περισσότερα