4 r.y.. 5540 3550 NEX I' V I F D a t a "A" 5570 THEN 0010 5600 P R I N T "FINAL..1UTAL.S 537 1 F t i». d e n y A v i n a s f PHASDEN 1dm / ( A v a t i r m s f 1a 60) 5500 P R I N T U S IN G "DDDD. DD, 1 X " s Y - 1, A v m a f 1 ow/ < Y - 1 ), T o t m a n s, A v v e l a v e ' ( Y - 1), A v p r e s. 1 a v e / ( Y - l ). A v a l r m s f l a 6 0 / ( Y - t ). A v v e l 6a v a / <Y - l ), A v p r e s 6 a v e / ( Y - l ). P h a s d e n y 5590 P R I N T " --------------------------------------------------------------------------------------- 559 1 PRINT PR IN TE R IS 1 IF Dat:a = "A" T H E N G O T O 5 6 0 0 INPUT " D O Y O U W A N T (A ) L L D A T A O R ( S ) E L E C T E D D A T A?....D a t a l IF Dat 1 1 <. "A" T H E N G O T O 5 9 4 0 P R I N T E R IS 701 PRINT PRINT "AVERAGED OPERATING CONDITIONS FOR "jtstname PRINT " m M U S m U W M H H W M N M M a n i H N M W M H M M M ' PRUT COMPRESSORS: ":Compre'3 "soperat:" PRINT " O P E R A T O R : A T M O S P R E S : " ; Pr er.at m: "mmh G " P U N T "TEST DATE I : Date» " Pt^INT " T E S T NAME: TIME IN T E R V A L: " : Ti h i ; " M i n u t a m " " ; T tnam e;" T OTAL TEST TIME " ; T 2 ( P p )! 1 MINUTES" PRINT PRINT PRINT " L I N E TEMP C E L C " ; A v t m p a v e / ( Y - l ) PRINT " L I N E 1R 8 URI» " ; A v p r e s 1 a v s / <Y - l ) PRINT I E E D P R E S S U R E "S A v p r e & f a v e / ( Y - l ) PRINT " P R E S 2 (BMD1I " i A v p r e «2 n v e / ( Y - l ) PRINT " P R E S (BND2) ;A v p r e < s 3 a v e / (Y - l ) PRINT " P R E S (LINE)»"; A v p r e s 4 a v e / (Y-l PRINT " P R E S (BND3) ;A v p r e s S a v e / (Y PRINT " P R E S (BND4)»"! Avpr e s 6 a v e / ( Y i); T C 5 1 - P R E S 6» E N D 4" PRINT " P R E S 11<ND5) «" ( A v p r e s 7 a v e / (Y - l ) PRINT PRINT " P R E S S U R E D R O P L I N E K P A «";A v d e l p a v e / ( Y - 1) ; A v d e l b n d l a v e / (Y-l) PRINT " P R E S S U R E D R O P B N D 1 KPA PRINT " P R E S S U R E DROT- 6 N D 2 K P A "5 A vdel b n d 2 a v e / (Y-l) PRINT " P R E S S U R E D R G P B N D 3 K P A = " i A v d e l b n d 3 a v «/ (Y - l ) PRINT PRINT " V E L L I N " l A v v» n v «/ ( Y - l ) ; A v v e l a v e / ( Y 1 ) PRINT "VEL. F E E D E R (H M D 1) " j A v v e l 1 ' a v e / ( Y - l PR INI " V E L " " ; A v v e l3 a v e /(Y -l PRINT " V E L (BND2) " ; A v v e l 4,a v e / ( Y - t PRINT " V E L (LINE) IDND3) ";A v v e ls a v e / ( Y - l PRINT "VEL PRINT "VEL (D N D 4 ) "; A v v e l 6 a v e / ( Y - l PRINT " V E L ; Avvfsl 7 a v e / ( Y - l (DNDS) PI! INT PRINT "AVE MAG!: Ft O W R A T E K G / M I N " J A v m a s f l o w / ( Y - t ) PRINT 'AIR M A S S F L O W R A T E K G / M IN» " i A v a i r r n s f 1 a 6 0 / ( Y - l ) PRINT "PIIA3E D E N S I T Y ; Avm asf 1 aw/ ( A v a ir in s f 1 a 6 0 ) PRINT "T O TAL M A S S U O U V E Y E D KG " " Totm a' PRINT INPUT " C A L C U. A T E M O R E M A S S F L O W RATE S " I ", M s s ft IF M» h F» «" Y " T H E N 4 1 9 0 II M ««f < >"N" T H E N 5 9 4 0 G O T O 10 P RINT " P R O G R A M F I N I S H E D " M A S S S T O R A G E IS ":H P U 2 9 0 X, 7 0 0, 0 " END 5393 5594 3S?3 5396 3600 5601 5610 5620 5 6 30 5640 5630 5660 566! 5 6 70 5i 36b0 5690 5700 5710 5720 5730 3740 5750 5/60 5770 5 700 17' 5791 3000 50 10 3020 5830 5E 5050 5060 51370 5CIH0 5090 5900 5910 5920 5930 3940 5950 3960 5970 5900 3990 6000 r
Vr -.V Vf Vf Vr V f VfVfVf Vf VfVfVfVf Vf v.' Vf >,.' V. Mr DIST 075 075 075 USERID 001FRDP Vr Vf Vf VfVnVvfV/f Vf V'Vf Vf Vr.. i f Vf Vf V f Vf Vr Vf Vf File name: PLOTANG File type: SCRIPT File mode: AI This output was produced by the command: LASER PLOTANG SCRIPT AI ( S E T 7 NODUP COP 6 on 05/05/88 at 11:42:58 This file is on disk 001FRD and was last updated on 05/05/88 at 11:42:43
P R O G R A M M E TO PLOT O V E R L A Y E D G R A P H S OF ALL T R I B O L O G I C A L RESULTS; O P T I O N S D E V I C E = G D ' ) M 6 8 C D O M N IC K N A M E = A L T 3 2 6 8 ; GOPTIONS DEV'CE=IBM3T79; DATA SCT07; S ET t, TA. TC; IF T E S T T C > 5 2 8t T Y P E T C - S C 1 0 7 ; A D E R O T C = L O G ( A D E R O T C 1; V E L T C = L O G (V E L T C ); D A T A S6; SET D A T A. T C ; IF T E S T T 0 5 2 & T Y P E T C ^ S 6 ; A D E R O T C - L O C < A D E R O T C ); V E L T C = L O G ( V E L T C ); D A T A T6; SET D A T A. T C ; IF T E S T T C > 5 2 & T Y P E T C = ' T 6 ; A D E R O T C = L O G ( A D E R O T C ); VELTC=LOC(VELTC); D A T A G6; S ET D A T A. T C ; IF T E S T T C > 5 2 8c T Y P E T C = ' G 6 ; A D E R O T C = L O C ( A D E R O T C ); V E L T C = L O G ( V L L T C ); D A T A GTO; SET DATA.TC; IT T t S T T C > 5 2 fc T Y P E T C = 'G T O 1 ; A D E R O T C = L O C ( A D E R O T C ); V E L T C = L O G ( V E L T C ); D A T A GT5; SET D A T A. T C ; IF T E S T T C > 5 2 & T Y P E T C = ' G T 5 ' ; A D E R O T C = L O C ( A D E R O T C ); V E L T C = L O G ( VELTC); D A T A E30; SET DATA.TC; IF T E S T T C > 5 2 & T Y P E T C = 'E 3 0 ' ; A D E P O T C = L O G ( A P E R O T C ); VELTC=LOG(VELTC); D A T A MS; SET DATA.MS; IF T E S T M S > 5 2 ; A D E R O M S = L O G ( A O E R O M S ); VELMS=LOG(VELMS); / PROC PRINT DATA PROC PRINT DATA PROC PRINT DATA PROC PRINT DATA PROC PRINT DATA PROC P R I M DATA = = = = = = SCT07; S6; T6: G6; G10; GT5;
an /- \f\. PROC P R I N T D A T A = E30; PROC P R I N T J A T A = MS; / DATA EROANG; M E R G E S C 1 0 7 (R E N A M E ' ( E R O I C - E R O S C 1 0 7 ANC1C=ANGSC107)) S6 (RFNAME=(EROFC=EROS6 ANG1C=ANGS6)) T 6 (R E N A M E = ( E R O T C = E R O T 6 A N G 1C = A N G T 6 ) ) C6 (RENAME= (E R O TC=EROG6 A N G T C = A N G G 6 )) CIO (RENAME=(EROlC-EK0G10 ANCTC=ANGC10)) C 1 5 (R E N A M E - ( E R O T C = E R O G 1 5 A N r TC = A N O G 1 5 ) ) f 30 ( R E N A M E = ( E R 0 I C = E R 0 E 3 0 ANCTC=ANCE30)) MS: T I T L E 1 E R O S I O N V S I M P A C T A N C L E ; T I T L E? 'PLOTANG'; S Y M B 0 L 1 V = S Q U A R E U R U L=1 C OL ; S Y M B 0 L 2 V = P L U S l= R Q i. - 2 C = B L ; S Y M B 0 L 3 V = T R I A N G L E l = R Q 1= 3 C = B L ; SYMBOL! V = X I= R Q L = U C = B L ; S Y M B O L S V = S T A R l=rq L= 5 C=BL; S Y M B O L S V - D I A M O N D l=rq L=6 C=BL; S Y M B 0 L 7 V = Y t= H Q L = 7 C=BI ; L A B E L E R O S C I O /= 1 E R O S 1O N M I C R O N S / T O N ' ; LABEL ANGSC107=' IMPACT ANGLE'; PROC GPLOT; PLOT E R O S C 1 0 7 A N G S C 107=1 ER0S6ANGS6=2 ER0T6»ANGT6=3 EROG6ANGG6= 4 ER0G15ANGG15=5 EROE30ANGE30=6 ER0MS»ANCMS=7/0VERLAY; RU N ; -------
/ / I \n </ i f v~v.. ;< DIST 075 075 075 USERID OOIFRDP File name: PL32B3 File ty, ; SAS File moc Al This output was produced by the command: LASER PL32B3 SAS Al ( SET7 NODUP on 20/05/88 at 15:50:06 This file is on disk 001FRD and was last updated on 13/07/87 at 14:26:43 r \ -4
C M s ' H L E o I f ' NDATA^D^SK PL.32B3 D A T A A; D A T A A; INFILL INDATA; INPUT Z; D A T A B; Y= US DO X=-20 OUTPUT; END; T O 2 0 B Y 10; DO X = - 5 0 T O OUTPUT; END; 50 BY DO X =-60 TO outp u t ; END; 10; 6 0 BY 15 = -70 T O OUTPUT; END; 10; 60 BY D O x := - 7 0 T O OUTPUT; END; 10; 7 0 B Y 10; o x := - V O T O OUTPUT; END; m x 5 = - 6 0 T O OUTPUT; END; 70 B Y 10; 60 BY no " x 5 = -60 TO.jU T P U T ; EN D ; 10; 60 BY DO X = - 5 0 TO OUTPUT; END; DO X ^ -20 T O OUTPUT; EN D ; 10; 5 0 B Y 0; 2 0 B Y 10; K E E P X Y; D A T A C; M E R G E A B; / PROC C3CRID; GR10 X ^ Z / S P U N U NAXIS2=25; / PROC G3D; I'lTl!'- M 0 2 5 v '10 M M G R I D, A C T U A L D A T A S C A T T E R X Y = Z / Z T I C K N U M = 10 POINTS, 8/7/87 ; - 1 «
i ' t /' ZMIN = H ZMAX = 6 S H A P E = 'POINT' TILT = 45 NOAXIS NONLEDLE R O T A TE =CO; RUN; - 2 -
VnVVrVrVrVr V V.VVrVr VrVr VrVrVr i'rvrvr VrVrVrVr VrVr Vr Vr Vr Vr Vr DIST 075 075 075 USERID 001FRDP Vr Vr Vr.'r Vr Vr VrVr Vr Vr > Vr.'. -.r Vr Vr Vr Vr '. Vr Vr Vr Tile name: PNEUT6 File type: SAS File mode: AI This output was produced by the command: LASER PNEUT6 SAS AI ( SET7 NODUP COP 6 on 05/05/88 at 11:43:47 This file is on disk 001FRD and was last updated on 13/01/88 at 13:00:31
DATA P N U E ; SET D A T A. T C ; IF T Y P E T C - 1 T6 ; KEEP A D E R O T C A N C T C V E L T C / PIIASTC ; AI)ER O T C = L O G A D E R O T C ) i A N C T C - L O C ( A N C T C ); VELTC=LOG(VELTC); P H A S T C - L O C I PIIASTC); M f R T C = L O G ( M F R T C ); / P R O C r.orr RANK; PROC S T E P W I S E ; MODEL A D E ROTC=VELTC MODELRADEROTC -VELTC O U I P O T O U t= D A I A. P R E D P=EROPRED IJ95=UP95 195=L0W95; PIIASTC A N C T C / MAXR; PIIASTC A N C T C / P R C L I ;
irir ir ic ir ir vv VnVVrVrVnY. YVrttVnV ir ir ir ir ir iii t i t i r i t i t i t i t i t i t i t i t i irir ir ir ir ir ir ir ir ir ir i t ir ir ir ir ir i t i t ir ir ir ir ir ir ir w ttiririririr ir ir ir ir ir iiir ir ir i i iririririr i t.yfnyvnvvrrt ir ir. ' i r i r i. t iri.-iriririr w DIST 075 075 075 USERID OOIFRDP i t ir ir ir i t ir ir iririririr i t i t ir ir ir ir ir ir irir ir ir ir ir i; irir ir ir ir iririr ir ir iriririr ir ir ir ir ir ir ir iriririririr irir ir ir i t i t i t ir ir ir ir ir i t irir ir ir ir ir ir ir VnV VnVVrV-'.-.V irir ir ir ir ir rtvnw.'iwrrt ftvny.'«> Vlr VrVrVn'n. Vr VciV File name: PNUET6 File type: LISTING File mode: A1 This output was produced by the command: LASER PNUET6 LISTING A1 ( SET7 NODUP COP 6 on 05/05/88 at 11:46:00 This file is on disk 001FRD and was last updated on 13/01/88 at 12:59:06
4 12:58 WE D N E S D A Y, SAS MEAN VARIABLE MFRTC VELTC ANCTC PIIASTC ADEROTC 20 2M 20 20 2D 57.96083333 39.72708333 61.83333333 2.12166667 0.21722285 STO DEV SUM 16.33910910 6.00809289 13.8581(9815 0.6195 7 0 9 1 ) 3.08307085 1391.06000000 953.05000000 1080.00000000 r>0.9 2 0 0 0 0 0 0 101.21330830 P E A R S O N C O R R E L A T I O N C O E F F I C I E N T S / PROrt > 0.0000 VELTC VELTC PHASIC 0.8 305/ VELTC ADEROTC -0.66027-0.06/13-0.10597 0.0000 0.0210 0. 6 2 2 1 MFRTC ADEROTC 0.589/5-0.10597 0.6221 0.0020 0.00/50 0.8255 PIIASTC ADEROTC 0.0521 0.5135 VELTC 0.00750 0.8255 MFRTC 0.83057 VELTC - 0. 6 3 308 0.0009-0.00110 ADEROTC Ml R T C PHASIC ADEROTC 1.00000 - C. 8 5 6 5 1-0. 6 6 0 2 7 VELTC 0. j8975 0.10020 1.00000 0.0000 PIIASTC -0.63308 0.0009 MFRTC l,00000-0. 0 6 / 1 3 0.0000 0.02 1 0 PIIASTC PIIASTC A D E R O 1C 1.00000-0. 856i 1 o. oooo 0.0000 0.01(01-0.00110 0.10020 0.0000 30.11000000 28.09000000 30.00000000 0.98000000 0. Z 1922066 RI U N D E R H O : R H O «0 / M = 2 0 MFRTC MFRTC T.00000 MINIMUM 0.0020 0.0521 0.5135 JANUARY 13, 1988 MAXIMUM 86.11000000 52.97000000 7 0, 0 0 0 0 1000 2.93500000 13.00056581 1
12:58 WEDNESDAY, SAS M A X I M U M P.-SQUARE STEP 1 VARIABLE DF 1 22 regression ERROR TOTAL 23 INTERCEPT PHASTC STEP 2 2 04. 7 4 7 9 4 9 9 4 3. 3 7 9 4 4 4 6 0 14.43442484-4.81564901 0.61868233 INTERCEPT MFRTC PHASTC II. 7 8 2 8 9 1 1 4 SQUARES B VALUE STD ERROR 19.360M3839-5.362154U0-0.03091394 0.624U7814 0.02790062 IS T H E B E S T 60.59 PROB>F 60.59 C(P) 3.62499629 MEAN SQUARE F PROB>F 109.25078764 2.88543599 37.86 O.OOCI F PROB>F TYPE II SS 213.01592213 13.75362534 73.82 4.77 0.0405 It.7 6 6 9 0 4 1.191726, 2 V A R I A B L E M O O E L FOUND. R SQUARE ENTERED 5.50500881.78409578 SUM OF SQUARES MEAN SQUARE F PROB>T DF 218.83778531 60.25 794585 2 7 9. 0 9 j 73 116 72.94592844 3.01289729 24.21 3 20 23 B VALUE STD ERROR 18.99258200 0.01377029-5.64051168-0.05832148 0. O U 122209 1.049300111 0.02954759 B O U N D S ON C O N D I T I O N N U M B E R : T HE ABOVE M O D E L PROB>F I I SS 204.74794994 218.50157529 60.591)1558 7 279.09573116 VARIABLE MFRTC REGRESSION FRROR TOTAL R SQUARE SUM OF B O U N D S ON C O N D I T I O N NUMBER: 3 F 1 V A R I A B L E MODE I FOUND. 2 T H E ABOVE M ODEL 6.53342505, 21 23 INTERCEPT PHASTC TYPE = 1 DF STEP 2 0 M. 7«79U99'» 74.34778121 27 9. 0 9 5 7 3116 VARIABLE ANCTC ENTERED REGRESSION ERROR TOTAL C(P) MEAN SQUARE STD ERROR IS T H E B E S T FOR D E P E N D E N T V A R I A B L E A C E R O T C 0.73361190 SUM OF S Q U A R E S 0 VALUE B O U N D S ON C O N D I T I O N NUMBER: IKE ABOVE MODEL R SQUARE PHASTC ENTERED IMPROVEMENT IS T H E B E S T 3.463063. 3 VARIABLE MODEL J 3.90863 F O UND. I I SS F PROB>F 0.3 3621002 87.06064330 11.73808721 0.11 0.7418 28.90 90 0.0624 TYPE JANUARY 13, 1988
/ />v. r, fr :' :' 'V v ' e r s' '/. y ;. ' ; // > :.-s v, 12: 5 8 W E D N E S D A Y, SAS MAXIMUM R-SQUARE STEP 4 VARIABLE V E L T C REGRESSION ERROR TOTAL OF S U M OF S Q U A R E S 4 19?3 225. 8 5 6 9 2 6 1 2 53. 2 3 8 8 0 5 0 '! 279.09573116 B VALUE INt E R C E P T MFRTC VEL1C PHASIC ANOTC ItU. 5 5 1 3 5 3 2 0 O.27493890-0.530083119-14. 6815515 / -0.06568930 B O U N D S O N C O N D 1 1 IO N N U M B E R : THE A B O V E M O DEL R SQUARE EN1ERED IS T H E B E S T IMPROVEMENT 0.16973333 0.33491889 5.8(112 72 32 0. ( 1 2 8 8 7 2 6 5 814. 91 1 4 V A R I A B L E M O D E L TOUND. C(P) 0.80924536 STD ERROR 106.0429, FOR D E P E N D E N T V A R I A B L E A D E R O T C mean squaiu; 56.46423153 2.80204237 TYPE 5.00000000 F PROB>F 20. 15 PROB>T I I SS 7.35212420 7.01914081 1?.94618345 14.50409536 2.62 2.51 6.40 5. 18 0.1217 0.1300 0.0204 0.0347 JANUARY 13, 1938 3
12:58 W E D N ESDAY, SAS l)ep V A R I A B L E : ADLROTC JANUARY 1 3, 1988 4 A N A L Y S I S OF V A R I A N C E DF 'I r.ource MODI I IRROR C rolal 19 23 ROOT MSC 1)1 l> Mt A N C. V. S U M OF SQUARES MEAN SQUARE 225.85693 53.23880504 1.67393 4.217223 39.692/1 F VALUE PR0B>F 56. 1 I 6 H 2 3 1 5 3 2.80204237 20.151 R-SQUARE ADJ R-SQ 0.8092 0.7691 279.09573 P A R A M E T E R ESi I M A T E S VARIABLE INTERCEP Ml R T C VELTC PHASIC ACTUAL ObS 1 1.5232 3 4 5 2.6393 4.9723 5.5796 4.5663 8.4824 7.8772 9.6746 1.0487 0.5613 0.9040 6.9807 8.5895 13.0406 0.7268 0.4682 0.2192 5.4514 5.0415 5.0075 6 7 8 0 1i 11 12 1o 14 15 16 17 IB 19 20 21 1.1011 PIUDIC1 VALUE 1.0799 0.0623 J.0345 5.8570 6.1355 6.8649 7.9342 7.6836 9.6474-0.1175 0.1743-0.3597 7.5673 8.9308 9.0693 2.6331 3.2177 1.8394 3.5152 3.5809 3.4088 PARAMETER ESTIMATE STANDARD ERROR T F O R HO: PARAMETERS 44.55135320 0. 274938911-0. 5 3 006349 -l.6 8 1 5 5 1 5 7-0.0656893(1 16.38275469 0.16973333 0.33491889 5.80127232 0.02887265 2.719 1.620-1.583-2.531-2.275 OF S I D ERR PREDICT 0.9361 1.1290 0.8317 0.6119 0.5096 0.6608 0. 9 2 78 \.0652 0.7828 0.8867 0. 7 354 0 8256 0.5775 0.6745 0.9218 0.4909 0.1' 74 7 0.5306 0.4562 0.5322 0.4685 LOWER957. PREDICT -2.9342-4.1636-0. 8 7 77 2.126 7 2.4731 3.0983 3.9285 3.5308 5.7797-4.0823-3.6524-4.2662 3.8612 5.1536 5.069 7-1.0180-0.4240-1.8359-0.1162-0.0955-0.2294 UPPIR95X PREDICT 5.0941 4.2882 6.9466 9.5872 9.7978 10.6316 11.9399 11.8363 13.5152 3.8472 4.0010 3.5468 11.2735 12.7081 13.0689 6.2843 6.8594 5.5147 7.1465 7.2573 7.0470 RESIDUAL 0.4432 1.0388-0.3952-0.8847-0.5559-2.2986 0.5482 0.1936 0.0271 1.1662 0.3870 1.2637-0.5867-0.3413 3. 9 7 3-1.9063-2.7495-1.6202 1.9362 1.4606 1.5988 S 10 ERR RESIDUAL 1.3877 1.2359 1.4527 1.5581 1.5945 1.5380 1.3933 1.2913 1 4 796 1.4198 1.5038 1.4562 1.5712 1.5320 1.3973 1.6003 i 6058 I.58 /(I 1.6106 1.5871 1.6070 PROB > IT I 0.0136 0.1217 0.1300 0.0204 0.0347 STUDENT RESIDUAL - 2-1-0 1 2 0.118 0.005 0.010 0.002 0.082 0.014 0.003 0.000 0.1500 1.2022 0.9203 0.9949 D.009 0.3194 0.8405-0.2720-0.5678-0.3486-1.4946 0.3934 0.0183 0.8214 0.2573 0.8678-0.3734-0.2228 2.8421-1.1912-1.7128-1.0205 COOK'S 0.053 0.003 0.048 0.004 0.002 «#«0.703 0.027 0.051 0.023 0.023 0.019 0.017
12:58 W E U N E S D A Y, SAS ACTUAL 22.? 3 24 2.4420 2.3180 1.9980 S U M O F R E S ID U A L S SU M OF S Q U A R E D R E S I D U A L S P R E D I C T E D R E S I D SS (PRESS) PREDICT V A L IE 3.0669 4.0471 2.3406 S T D ERR PREDICT 0.8719 0.8835 0.9179 6.07070E-13 53.2388 I 85.90552 LOWER95S PREDICT -0.8835 0.0835-1.6551 UPPER95% PREDK ' 7.0172 8.0087 6.3363 RESIDUAL -0.6249-1.729. -0.3426 S T D E RR RESIDUAL STUDENT RESIDUAL 1.4289 1.4218 1.3998-0 43 73-1. 2 161-0.2447 JANUARY -2-1-U 1 2 I I 13, 1988 COOK'S 0.014 0.114 0.005
Author Freinkel D M (David M) Name of thesis Experimental Investigation Into The Wear Resistance Of Tungsten Carbide-cobalt Liners In A Full Scale Pneumatic Conveying Rig. 1988 PUBLISHER: Universy of the Wwatersrand, Johannesburg 2013 LEGAL NOTICES: Copyright Notice: All materials on the U n i ve r si t y o f t h e Wi tw a te r s r an d, J o h a n n e sb u rg Lib r a r y webse are protected by South African copyright law and may not be distributed, transmted, displayed, or otherwise published in any format, whout the prior wrten permission of the copyright owner. Disclaimer and Terms of Use: Provided that you maintain all copyright and other notices contained therein, you may download material (one machine readable copy and one print copy per page) for your personal and/or educational non-commercial use only. The Universy of the Wwatersrand, Johannesburg, is not responsible for any errors or omissions and excludes any and all liabily for any errors in or omissions from the information on the Library webse.