Instrumental Deviations from the Beer-Lambert Law

Μέγεθος: px
Εμφάνιση ξεκινά από τη σελίδα:

Download "Instrumental Deviations from the Beer-Lambert Law"

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

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 περισσότερα

1.8 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 περισσότερα

TUBO LED T8 LLUMOR PROLED ULTRA 25W 150CM

TUBO 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 περισσότερα

ΚΕΦ. 8 ΦΑΣΜΑΤΟΦΩΤΟΜΕΤΡΙΑ ΥΠΕΡΙΩΔΟΥΣ ΟΡΑΤΟΥ UV-Vis Μ. ΚΟΥΠΠΑΡΗΣ ΠΑΡΑΔΟΣΕΙΣ ΑΝΑΛΥΤΙΚΗΣ ΧΗΜΕΙΑΣ ΙΙ

ΚΕΦ. 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 περισσότερα

TUBO LED T8 LLUMOR PROLED 25W 150CM

TUBO 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 περισσότερα

Impact of ozone cross-section choice on (WF)DOAS total ozone retrieval

Impact 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 περισσότερα

TUBO LED T8 LLUMOR PROLED 18W 120CM

TUBO 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 περισσότερα

Electronic Supplementary Information

Electronic 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 περισσότερα

Optimizing Microwave-assisted Extraction Process for Paprika Red Pigments Using Response Surface Methodology

Optimizing 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 περισσότερα

Current Status of PF SAXS beamlines. 07/23/2014 Nobutaka Shimizu

Current 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 περισσότερα

Electronic Supplementary Information (ESI)

Electronic 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 περισσότερα

Biostatistics for Health Sciences Review Sheet

Biostatistics 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 περισσότερα

TABLES AND FORMULAS FOR MOORE Basic Practice of Statistics

TABLES 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 περισσότερα

Monolithic Crystal Filters (M.C.F.)

Monolithic 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 περισσότερα

HPLC. 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 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 περισσότερα

Πρόβλημα 1: Αναζήτηση Ελάχιστης/Μέγιστης Τιμής

Πρόβλημα 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 περισσότερα

Μενύχτα, Πιπερίγκου, Σαββάτης. ΒΙΟΣΤΑΤΙΣΤΙΚΗ Εργαστήριο 6 ο

Μενύχτα, 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 περισσότερα

ΟΙΚΟΝΟΜΕΤΡΙΑ. Βιολέττα Δάλλα. Εθνικό και Καποδιστριακό Πανεπιστήµιο Αθηνών

ΟΙΚΟΝΟΜΕΤΡΙΑ. 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 περισσότερα

IV. ANHANG 179. Anhang 178

IV. 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 περισσότερα

NPI Unshielded Power Inductors

NPI 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 περισσότερα

Patrycja Miszczyk, Dorota Wieczorek, Joanna Gałęzowska, Błażej Dziuk, Joanna Wietrzyk and Ewa Chmielewska. 1. Spectroscopic Data.

Patrycja 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 περισσότερα

Queensland University of Technology Transport Data Analysis and Modeling Methodologies

Queensland 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 περισσότερα

High Performance Voltage Controlled Amplifiers Typical and Guaranteed Specifications 50 Ω System

High 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 περισσότερα

1 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 περισσότερα

Artiste Picasso 9.1. Total Lumen Output: lm. Peak: cd 6862 K CRI: Lumen/Watt. Date: 4/27/2018

Artiste 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 περισσότερα

α + 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

α + 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 περισσότερα

Πανεπιστήμιο 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 Πανεπιστήμιο Κρήτης, Τμήμα Επιστήμης Υπολογιστών Άνοιξη 2009 HΥ463 - Συστήματα Ανάκτησης Πληροφοριών Information Retrieval (IR) Systems Στατιστικά Κειμένου Text Statistics Γιάννης Τζίτζικας άλ ιάλεξη :

Διαβάστε περισσότερα

Eight Examples of Linear and Nonlinear Least Squares

Eight 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 περισσότερα

GAUGE 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. 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 περισσότερα

SUPPORTING INFORMATION. Diastereoselective synthesis of nitroso acetals from (S,E)- -aminated

SUPPORTING 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 περισσότερα

Numerical Analysis FMN011

Numerical 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 περισσότερα

k A = [k, k]( )[a 1, a 2 ] = [ka 1,ka 2 ] 4For the division of two intervals of confidence in R +

k 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 περισσότερα

Thin Film Chip Resistors

Thin 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 περισσότερα

Probability and Random Processes (Part II)

Probability 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 περισσότερα

difluoroboranyls derived from amides carrying donor group Supporting Information

difluoroboranyls 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 περισσότερα

Συνδυασμός Μαθηματικών με γραφικές παραστάσεις

Συνδυασμός 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 περισσότερα

22 .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 περισσότερα

ΑΝΑΛΥΣΗ Ε ΟΜΕΝΩΝ. 7. Παλινδρόµηση

ΑΝΑΛΥΣΗ 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 περισσότερα

Temperature: 25.5 CRH: 65% Spectrum Range: nm Scan Step: 5 nm. Spectral Distribution CIE1931 Chromaticity Diagram

Temperature: 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 περισσότερα

SECTION II: PROBABILITY MODELS

SECTION 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 περισσότερα

Temperature: 25.5 CRH: 65% Spectrum Range: nm Scan Step: 5 nm. Spectral Distribution CIE1931 Chromaticity Diagram

Temperature: 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 περισσότερα

Odometry Calibration by Least Square Estimation

Odometry 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 περισσότερα

Aquinas 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 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 περισσότερα

AI, 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

AI, 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 περισσότερα

Μουσική Πληροφορική. Αλέξανδρος Ελευθεριάδης Αναπ. Καθηγητής Τµήµα Πληροφορικής και Τηλεπικοινωνιών Εθνικό και Καποδιστριακό Πανεπιστήµιο Αθηνών

Μουσική 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 περισσότερα

Bulletin 1489 UL489 Circuit Breakers

Bulletin 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 περισσότερα

Szabolcs Sofalvi, M.S., D-ABFT-FT Cleveland, Ohio

Szabolcs 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 περισσότερα

Outline Analog Communications. Lecture 05 Angle Modulation. Instantaneous Frequency and Frequency Deviation. Angle Modulation. Pierluigi SALVO ROSSI

Outline 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 περισσότερα

Διερεύνηση ακουστικών ιδιοτήτων Νεκρομαντείου Αχέροντα

Διερεύνηση 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 περισσότερα

vibrational Supplementary density of the Beyer-

vibrational 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 περισσότερα

ΕΙΣΑΓΩΓΗ ΣΤΗ ΣΤΑΤΙΣΤΙΚΗ ΑΝΑΛΥΣΗ

ΕΙΣΑΓΩΓΗ 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)

(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 περισσότερα

20/01/ 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/ 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 περισσότερα

chlorostibine Iou-Sheng Ke and François P. Gabbai Department of Chemistry, Texas A&M University, College Station, TX

chlorostibine 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 περισσότερα

1. Ηλεκτρικό μαύρο κουτί: Αισθητήρας μετατόπισης με βάση τη χωρητικότητα

1. 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 περισσότερα

of the methanol-dimethylamine complex

of 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 περισσότερα

Statistics 104: Quantitative Methods for Economics Formula and Theorem Review

Statistics 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 περισσότερα

Th, 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.

Th, 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 περισσότερα

SUPPLEMENTAL INFORMATION. Fully Automated Total Metals and Chromium Speciation Single Platform Introduction System for ICP-MS

SUPPLEMENTAL 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 περισσότερα

NKT NTC Thermistor. Negative Temperature Coefficient Thermistor FEATURES

NKT 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 περισσότερα

Second Order RLC Filters

Second 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 περισσότερα

XKT. Metal Oxide Varistor FEATURES

XKT. 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 περισσότερα

Photometric Data of Lamp

Photometric 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 περισσότερα

First Sensor Quad APD Data Sheet Part Description QA TO Order #

First 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 περισσότερα

Mock Exam 7. 1 Hong Kong Educational Publishing Company. Section A 1. Reference: HKDSE Math M Q2 (a) (1 + kx) n 1M + 1A = (1) =

Mock 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 περισσότερα

Areas and Lengths in Polar Coordinates

Areas 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 περισσότερα

Geographic Barriers to Commodity Price Integration: Evidence from US Cities and Swedish Towns,

Geographic 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 περισσότερα

ΚΥΠΡΙΑΚΗ ΕΤΑΙΡΕΙΑ ΠΛΗΡΟΦΟΡΙΚΗΣ CYPRUS COMPUTER SOCIETY ΠΑΓΚΥΠΡΙΟΣ ΜΑΘΗΤΙΚΟΣ ΔΙΑΓΩΝΙΣΜΟΣ ΠΛΗΡΟΦΟΡΙΚΗΣ 11/3/2006

ΚΥΠΡΙΑΚΗ 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 περισσότερα

SMD Transient Voltage Suppressors

SMD 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 περισσότερα

χ 2 test ανεξαρτησίας

χ 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 περισσότερα

Electronic Supplementary Information (ESI)

Electronic 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 περισσότερα

Άσκηση 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 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 περισσότερα

SUPPLEMENTARY MATERIAL. A Facile and Convenient Approach for the Synthesis of Novel Sesamol-Oxazine and Quinoline- Oxazine Hybrids

SUPPLEMENTARY 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 περισσότερα

Ειζαγωγή ζηο MATLAB (MATLAB Fundamentals)

Ειζαγωγή 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 περισσότερα

Supplementary Information 1.

Supplementary 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 περισσότερα

Δείγμα (μεγάλο) από οποιαδήποτε κατανομή

Δείγμα (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 περισσότερα

ΕΚΘΕΣΗ ΦΩΤΟΜΕΤΡΗΣΕΩΝ PHOTOMETRIC TEST REPORT. Αντικείμενο μετρήσεων: Λαμπτήρας Ε40 με LEDs / Item tested: E40 lamp with LEDs

ΕΚΘΕΣΗ 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 περισσότερα

Enantioselective Synthesis of the Anti-inflammatory Agent ( )-Acanthoic Acid

Enantioselective 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 περισσότερα

UDZ Swirl diffuser. Product facts. Quick-selection. Swirl diffuser UDZ. Product code example:

UDZ 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 περισσότερα

Light Source Test Report

Light 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 περισσότερα

Thin Film Chip Resistors

Thin 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 περισσότερα

Lampiran 1 Output SPSS MODEL I

Lampiran 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 περισσότερα

Εργαστήριο Ανάπτυξης Εφαρμογών Βάσεων Δεδομένων. Εξάμηνο 7 ο

Εργαστήριο 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 περισσότερα

Areas and Lengths in Polar Coordinates

Areas 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 περισσότερα

ΕΚΘΕΣΗ ΦΩΤΟΜΕΤΡΗΣΕΩΝ PHOTOMETRIC TEST REPORT

ΕΚΘΕΣΗ 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 περισσότερα

Quantitative chemical analyses of rocks with X-ray fluorescence analyzer: major and trace elements in ultrabasic rocks

Quantitative 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 περισσότερα

The 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 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 περισσότερα

Φροντιστήριο Βιοστατιστικής. Έλεγχος Υποθέσεων. Παύλος Αγιανιάν Επικ. Καθηγητής ΔΠΘ

Φροντιστήριο 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 περισσότερα

Υπολογιστική Φυσική Στοιχειωδών Σωματιδίων

Υπολογιστική 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 περισσότερα

VAR Series Zinc Oxide Varistor

VAR 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 περισσότερα

Matrices 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 = 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 περισσότερα

ΕΝ ΕΙΚΤΙΚΕΣ ΑΠΑΝΤΗΣΕΙΣ ΑΣΚΗΣΗΣ 2 (Εργαστήρια µαθήµατος «Στατιστικά Προγράµµατα», τµ. Στατ. & Ασφ. Επιστ., 04-05) (Επιµέλεια: Ελευθεράκη Αναστασία)

ΕΝ 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 περισσότερα

ΣΥΣΧΕΤΙΣΗ & ΠΑΛΙΝΔΡΟΜΗΣΗ

ΣΥΣΧΕΤΙΣΗ & 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 περισσότερα

FORMULAS FOR STATISTICS 1

FORMULAS 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 περισσότερα

LED Flood Light BLP FL48W01. V(B) Range:-80-80DEG V(B) Interval: 5.0DEG Test System:EVERFINE GO-2000B_V1 SYSTEM V

LED 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 περισσότερα

LED Flood Light BLP FL16W01. V(B) Range:-80-80DEG V(B) Interval: 5.0DEG Test System:EVERFINE GO-2000B_V1 SYSTEM V

LED 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 περισσότερα

Photo-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 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 περισσότερα

LED Flood Light BLP FL36W01. V(B) Range:-80-80DEG V(B) Interval: 5.0DEG Test System:EVERFINE GO-2000B_V1 SYSTEM V

LED 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 περισσότερα

ΦΑΣΜΑΤΟΜΕΤΡΙΑ ΥΠΕΡΙΩΔΟΥΣ- ΟΡΑΤΟΥ, UV-Vis (ULTRAVIOLET- VISIBLE SPECTROMETRY) ΑΘΗΝΑ, ΟΚΤΩΒΡΙΟΣ 2015

ΦΑΣΜΑΤΟΜΕΤΡΙΑ 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 περισσότερα

ITU-R BT.1908 (2012/01) !" # $ %& '( ) * +, - ( )

ITU-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