Using Gabriel Package under Microsoft Vista or Microsoft 7

Transcription

1 Gabriel package: software for education and research - Supporting information Gilles Olive Using Gabriel Package under Microsoft ista or Microsoft 7 Microsoft decided to change the entry point of activex between the Operating System until Windows XP and Windows ista (or) Seven. To overcome this problem one of the solutions is to use a virtual machine like irtual P, irtual ox, Mware. The last one is commercial. Recently, Microsoft has made free irtual P and this is this one used in this tutorial 1. Some software of Gabriel Package runs directly on ista or Seven. Try before installing irtual P 2. The procedure describe below is suitable for all version of Microsoft Windows until ista ; Microsoft 7 users must install the Windows XP Mode and Windows irtual P. 1. Download the appropriate version of irtual P on one of many website 3 (irtual P 2004 for Windows 2000 or XP, irtual P 2007 sp1 for XP or ista). 2. Install irtual P. 3. Start irtual P. 4. wizard will start: 5. lick Next. 6. hoose reate a irtual Machine. 7. lick on rowse button and choose a expressive name for the virtual machine like W2K or XP. 8. Save. 9. lick Next 10. Select the desired Operating System (and see the default value) in the drop down menu: Windows 2000 or Windows XP. 11. lick Next. 12. For memory choose Use the recommended RM value. 13. lick Next. 14. hoose new virtual hard disk. 15. lick Next. 16. Keep all values (name and size) and when lick Next. 17. lick Finish. 18. If necessary run again irtual P. 19. Insert Windows Installation's D. 20. In the windows console of virtual P select your irtual Machine and lick Start. 21. rmally the D will start. If not you will have a message Running DHP. lose this window and choose "Shut Down" and then run again from the console windows. 22. Installation occurs... need long time. You have to enter some information for example the activation key. To help you in case of difficulties, the user can read many tutorial found on Internet. 23. fter several restart, Windows is installed. 24. While the virtual machine is running press the Right lt. key (hostkey). 25. Go to ction menu. 26. hoose Install or Update irtual Machine dditions. 27. lick ontinue. 28. lick Next. 29. Finish. 1 ut it seems that irtual ox is easier to install and to use. 2 Running under ista and Seven: Gabriel alculatrice Savon, Gabriel Nathalie II t running under ista and Seven: Gabriel Data nalysis 3 More information at:

2 30. hoose to restart the virtual machine. 31. Put the resolution of the screen at least to 1152 x 864 pixels true colors (32 bits). 32. On the host computer, create a folder with explicit name (like Shared with irtual P) and put in the install files of Gabriel Software desired. 33. While the virtual machine is running, go back to the console windows and click on Parameters. 34. lick OK. 35. Select Shared Folders in the left list. 36. lick in the right part Share Folder Select the folder that you created before and give the Z for the drive letter for example (check share every time). 38. lick OK and you go back to the virtual machine. 39. Open My omputer and open Z network drives. 40. Runs Setup.exe and install the desired software. Enjoy with Gabriel Package.

3 Resolution of cubic equation by Sotta's méthod z 0 triple solution bc 9ad? b 2 3ac? X -b/3/a END 0<qrandom<1 r q+1 81ad (3ad-2bc)+9c 2 (4ac-b 2 )+36b 3 d 0? e (9ad-bc)/(2b 2-6ac) double solution X1 e b 2 < 3ac? e 0? X2 -d/a/e/e X2 -b/a e (-b - b 2 3ac)/3/a 2 f (-b + b 3ac)/3/a END END q e ; r f e > f? q f ; r e p q -1

4 sign(a) -sign(p(p(ap+b)+c)+d)? s r+1 p p-10 sign(a) -sign(s(s(sa+b)+c)+d)? s s+10 e p ; f q call subroutine dichotomy e q ; f r call subroutine dichotomy e r ; f s call subroutine dichotomy z 1? e (-b-ax)/2/a END d 0? 2 2 f - 4ad/x - (b + ax) /2/a f 4ac - b /2/a X e + f i X e - f i END

5 subroutine dichotomy: n 1 v e(e(ea+b)+c)+d w f(f(fa+b)+c)+d sign(v) sign(w)? x (e+f)/2 sign(v) sign(x(x(xa+b)+c)+d)? e x f x n n+1 n 100? z z+1 Xz x ENDSU

6 Equations used in the ph nalyze Module of Gabriel Data nalysis and are respectively the concentration of the acid and the base. and are the volume of acid and of base. n means the number of moles. Strong cid by Strong ase t the beginning We have a Strong cid. ph - log [H3O + ] and [H3O + ] etween the neutralization (Strong cid) ph - log [] and [] t the neutralization (Strong cid and Strong ase salt) ph 7. t this point n NaOH n Hl fter the neutralization (Strong ase) ph 14 + log [] and []. -. +

7 weak acid by Strong ase t the beginning We have a weak acid. ph ½ (pka - log ) etween the neutralization (buffer). [] + If. ½. then ph pka. ph pka + log ([]/[]). [] -. + t the neutralization (weak acid and Strong ase salt). ph 7 + ½ (pka + log []) and [] +. + fter the neutralization (Strong ase) ph 14 + log [] and [] Strong cid by weak base t the beginning We have a Strong cid. ph - log [H3O + ] [] etween the neutralization (Strong cid) ph - log [] and [] t the neutralization (Strong cid and weak base salt) ph ½ (pka - log []) and [] fter the neutralization (buffer mixture + NH 4 l - / NH 3 ) ph pka 2 + log ([2]/[2]) [2] If then ph pka 2 N: 2 oncentration of weak acid. 2 oncentration of the conjugated weak base. [2]

8 weak acid 1 by weak base 2 t the beginning We have a weak acid. ph ½ (pka 1 - log 1 ) and etween the neutralization (buffer of the acid) ph pka + log ([1]/[1]) 2.2 [1] [1] If 2. 2 ½ 1. 1 then ph pka 1. t the neutralization (weak acid and null force base salt) ph ½ (pka 1 + pka 2 ) fter the neutralization (buffer of the base) [2] ph pka 2 + log ([2]/[2]) [2] Strong ase by Strong cid t the beginning We have a Strong ase. ph 14 + log. etween the neutralization (Strong ase) ph 14 + log [] and [] t the neutralization (Strong ase and Strong cid salt) ph 7 fter the neutralization (Strong cid) ph - log [] and []. -. +

9 weak ase by Strong cid t the beginning We have a weak base. ph 7 + ½ (pka + log ) etween the neutralization (buffer) []. + ph pka + log ([]/[]). [] -. + t the neutralization (Strong cid and weak base salt) ph ½ (pka + log []) and [] fter the neutralization (Strong cid) ph - log [] and [] Strong ase by weak acid t the beginning We have a Strong ase. ph 14 + log etween the neutralization (Strong ase) ph 14 + log [] and [] t the neutralization (weak acid and Strong ase salt) ph 7 + ½ (pka + log []) and [] fter the neutralization (buffer) N: ph pka 2 + log ([2]/[2]) [2] oncentration of the weak acid. 2 oncentration of the conjugated weak base. [2]