± Si Fe 0.42 Cu1.51 Mn 0.24 Mg 2.62 Zn. Al 2 (SO 4 ) 2 16H 2 O Å Õ [6] Al Ç SO 2 ÔÞ :

Size: px
Start display at page:

Download "± Si Fe 0.42 Cu1.51 Mn 0.24 Mg 2.62 Zn. Al 2 (SO 4 ) 2 16H 2 O Å Õ [6] Al Ç SO 2 ÔÞ :"

Transcription

1 Û 31 Û 6 ÀÀ² Vol.31 No Journal of Chnese Socety for Corroson and Protecton Dec. 011 Ý «SO ÆÂÓܱ ¼ Ð ÇÍ 1 Ì È 1 ËÏÆ ÉÅ 1 Ä 1 Î Ê 1 1 (1. Á Ê ;. ¾Á ± Ë ¾ ) : Å SEM/EDX«Å Ö 7A0 Ò ² à SO Ó± ²Í ÖÆÞ µ ÊÕÐ ÃÓ Ã Æ ÕÐ Ó ÆÒ ²± ¾½ «Æ± Å Ó Þ Ö C=A t n ± ¾ÎÞÄ Æº½ Å É ÏÆÄ ½ Ó ÎÞ ± ¾²½Ó ÒÍ Ò ¾ ± Æ7A0 Ò ² 0.067% SO Ð ±ÓÕÐ Ã µ ÕÐÓ ¼ SO º Å Ñ : Ò ² Á¹Ú Đ : TG17.3 ½ ³ : A ½ Đ : « ÑÐÑ ± Å È ß ÂÌ ËÝРҽΠÕÚ Þ ÉÅ Ì Õ Ñ Ð Ò Ü Â± º ÒÚ ±Ù Đ Ñ ± µ Ò Ì Ï± Í µ¹ SO ¹ Ò ÑÐ ± Ä ÒËÖ Đ Ú ßÔ Ñ ±µđ Ø Ò ÍÂ Ö Å ¹ [1 3] Svensson Õ [] Ó Ò SO Zn É µ SO Ò ËÖÒ µđß ØÒ» µđß ØÒ ß ±ÂµĐ Ò É ±ÙÒ µ Oesch Õ [5] Ñ SO µ Ò Đ ¹ ½ Ï ± Ñ SO ¹ µ ½± Al 3 (SO ) (OH) 5 9H O Ì Al (SO ) 16H O Å Õ [6] Al Ç SO Á/ ² Ò Đ Ì Õ Õ ÔÞ : : Á  ٳà Π ÙÍ Å Îà 005DTA1000 Ì Ã Å : ÉÎ Æ 197 ½ Æ» Æ ³³Ú Ô³ Î Û Ã : ÉÎ E-mal: zhouhr 9@163.com ½±ÑÒ ¼ [7] µ Î SO Ñ 1060 ÐÑ ± A1 Ì 7A0 É µ Ò Ä ÅÌÚÎ ± SO Ñ ±Ò Õ [8] µ Î NaCl Ü Ì SO ß ± AZ91D É µ Ò ÄÅÌÚÎ Ë NaCl Ì SO ±Ò ¼ ±Ò Ì NaCl Ì SO Ñ ±ÒÉ µ Å ÒÊ ± SO Ô À º ÌǺջ Ñ ± 7A0 SO ¹ Ò Ï± ¹ µ ÉÔ Â Ó Ò Ñ ± ¹ µ Ò Å Ì Ð ² Ö Ô ± 7A0 T6Å Â mass%å ± S Fe 0. Cu1.51 Mn 0. Mg.6 Zn 5.99 T Al Æ ± ÔÔ Ì Ñ ÄÔ ÔÔ ¾± 30 mm 0 mm.8 mm ßÅÈ Å 1500 # Í ßÈ Ì ² ²³ h Á Ä 0.1 mgå µ Ô» GB ±ÙÌ ÅÚ Ò Ò Ô Ï Ô Í ± SO Ô À ¹ µ Ä

2 6 ÈÍ Ö : ¼¹Ò ² ½ SO Ð Ó± ² 7 À SO µ SO ± 0.067% Ô µ ±»µ 0 Ô «± 8 h ص± 5 Ô «± 16 h ± 95% Ô Ç ± 0 d Ô «± h 6 h h 8 h 96 h 168 h 0 h 360 h 80 h РРÏÔÔ 3 Ä 1 ÍÝÌ ½ º Ô ± ÔÔ º 0.00 mol/l Na SO Ø ph ± 3.1Å Ô µ ±Óµ Ô Ç ± 70 h ÔÇ ± h 6 h h 8 h 96 h 168 h 0 h 360 h 80 h 70 h ÐÂÑ ± Ð Ë ÏÔÔ 3 Ä 1 ÍÝÌ ½ ÍÝ Ä ß (SEM) EDX ½ % SO Ø ÀÒÛ» 7A0 Ñ ± ŵÌÇ 0.067% SO µ Ä «Ò 7A0 Ñ ± Moss loss /g/m % SO Wthout SO Tme /h Fg.1 Corroson loss of 7A0 alumnum alloy n pure atmosphere and 0.067% SO atmosphere ŵ Ô 80 h µđ ر¼ ½ ÄÝ ¼ Ð Ð Å» Ò Ä ¼ Õ 7A0 Ñ ± Ç 0.067% SO µ Ô ÄÝ Ô «Ò Ãݵ Ñ ÄÝ Ï Ý Õ C = A t n (1) C g m ű ĐÜ Ä t ± «hå A n Ò Ý Û 1Å Ý Â ± A=0.0 n=0.69 n ¹ 1 Ð Ä «Ò ¹ ÄÝ Ý n ± 0.69 Ð ÄÝ «Ò Í ºÈ Ý Ð 0.067% SO 7A0 Ñ ±Ò 7A0 Ñ ± ŵ Ô 80 h µ Đ Ø±¼ ½ 7A0 Ñ ±ÔÔ Ç 0.067% SO µ µđ ½Ò ÍÝ 7A0 Ñ ± µ h ÔÔµ ĐË ÆÞ h ÔÔµĐË Ò Æ ½ÌÇ ÒÒ ½ «Ò ½ÌÒ ½ÒÝ µå Ð 80 h ½ ر ÔԵР½Ã ÒÇ ¾ ÔÔµĐ Ì ½ ÔÔµĐÒÍÝ 3Å 7A0 Ñ ± Ä 96 h Ô µđå Ò Ä 3aÅ 80 h Ô µđå ÒÇ ½ Ú 3bÅ Ë̱ 7A0 Ñ ± Ç 0.067% SO µ µđ ½ ÂÇÅ Al S Ì O [5,6,9] 0.067% SO µ Í ÂÒ ½±¼Ò ÑÌ Ñß ½ Fg. SEM morphologes of 7A0 alumnum alloy n 0.067% SO atmosphere. (a) h, (b) h, (c) 96 h, (d) 168 h, (e) 0 h, (f) 80 h

3 FF$b a_ 8 $8/ 31 "AHnw D Fg.3 SEM morphologes of 7A0 A1 alloy surface after elmnatng corroson products. (a) 96 h, (b) 80 h x " 0.00 mol/l Na SO ph3.1 D tf[^. ` n [ L y :. ` nd0 ). K 7A0 m X %"Y {T 0.00 mol/l Na SO -DZ;8 "X 1 ndzcq wb ph3.1 DtF[^. np JÆ 7A0 m 1 Xy B J % A=0.1 n=0.96 } 0.00 X %"Y { F. 70 h `[ L y : P. )D n mol/l Na SO ph3.1 D t ` 7A0 m X %n $b $b[ly: ` n;8t%%dz;8 7A0 m X %"Y { F p 70 h ` ) _ t %0 $b A1 7A0 m X %" 0.00 mol/l Na SO ph3.1 D tf $b 0 ` n) Uy G 5 j 7A0 mx%"dtf. 6 h `pp) SA T ^ z T zx r < X [N\z 5a z% N$bA1 [N\z%mX%) $ bd"\zt$ba1 6a h `pp) x 5SA nzx $b L T X $b A1 5b T 6b 96 h `pp) SAd^zX on$b A1 #% 7A0 mx%) d^zbujnzbl Fg. Corroson mass loss of 7A0 alumnum alloy n T$bA1 5c 0 h `pp) '%[N mol/l Na SO soluton mol/l Na SO ph mol/l Na SO 70 Pure water Mass loss /g m Tme / h Fg.5 Surface morphologes of 7A0 alumnum alloy n 0.00 mol/l Na SO soluton. (a) 6 h, (b) h, (c) 96 h, (d) 0 h, (e) 80 h, (f) 70 h

4 PUBr : 0-nY&#1 SO l8go% X&~F<[g= 9 $b A1) $b A1n x )d 5d 80 LM 7A0 mx%" 0.00 mol/l Na SO ph3.1 h `p p) [N$b A1,v3) $ba1n x)d UJOX v ) UJ 0 n DtF[^. 70h `pp) $ba1,w $ba1 5e l 70 h `pp) x5uj` O Al S O T Cu X*C m X %" 0.00 mol/l Na SO ph3.1 D t _n$ba1> 5f T 6d OX$bA1F d^n : :& t $b$eky\ : FUJn$bA1%0ngmTh m{x1, H m X % t ja 7A0 m X %& F { $b 3.3 h n { qu [Ly:KDZ) d )$bn v 3s N 9 In ) L 7 % 7A0 m X %" 0.00 mol/l Na SO M 1Q PA/ j d )- 91q ph3.1 DtF$b`T6$bA1n) Uy 0 nb %u*srf< /, m X %" 6 s- 9 h p `p p) n $b z 7a 70 h p 7 Fn$bW% 7A0 mx%"/t) : `) n$bæ3 5~.eL SO ) p [^. py}o.p $b 7b ` 3 n $b Uy ~ d K X_p J 7A0 mx%" (d)p-n 7A0 m X %"0 $b $E 7 ; 7A0 m X % Qp J,W X y o p "Dt$EFr?n $b. $bz ~ e! QpnE;Z 7A0 mx%") $EF$b ).XT on; Z n ; l 1n0 7 } ; Z on; Z ) tu ; y $b v8? W p n 3 n=3nt \ n IM r \ dn$ 6! [5,6,9,10] (>B. (> # 3 [11] [1] Fg.6 SEM morphologes of 7A0 alumnum alloy n 0.00 mol/l Na SO soluton. (a) 6 h, (b) h, (c) 0 h, (d) 70 h Fg.7 SEM morphologes of 7A0 alumnum alloy surface after elmnatng corroson products. (a) 0 h, (b) 70 h

5 50 31 Ö Ï ¹Ê Ì ÐĐ «Ò ÁÅ ÖĐ ËÏ±Ò Å Ô Ý Ò ÎÎ ÄÅ Ü Ý X 0 = (X 0 (1), X 0 (),,X 0 ()); X 1 = (X 1 (1), X 1 (),,X 1 ()); X n = (X n (1), X n (),, X n ()) 1ÅÉ X 0 = ( X 0(1) X 0 (1), X 0() X 0 (1),, X 0() X 0 (1) ); X 1 = ( X 1(1) X 1 (1), X 1() X 1 (1),, X 1() X 1 (1) ); X n = ( X n(1) X n (1), X n() X n (1),, X n() X n (1) ) Å¾Ý 1 = X 0 () X 1 () = X 0 () X () n = X 0 () X n () 3ž È È mn n X 0 () X () ; = 1,,,n mn mn X 0 () X () ; = 1,,, n max max X 0 () X () ; = 1,,, n max X 0 () X () ; = 1,,, n Å Ý ξ () = [mn 0.5 mn 0.5 max mn X 0 () X () + mn X 0 () X () ]/ [ X 0 () X () + max X 0 () X () ] 5Å γ = 1 n =1 ξ () γ ± X À X 0 Ò 6Å Ñ γ Ò ÈÊ γ Ð Á Ý 7A0 Ñ ± Ô ¹ Ô Ò ÄÝ «ÝÓ Ô Ò ÄÝ ± Ô ¹ Ô ÒÝ Ò «± Ì 1 Å Ó 0.067%SO µ Ô ÄÝ Ò «± h 96 h 0 h 80 hå º ÌǺ Ô ÄÝ Ò «± 8 h 168 h 360 h 70 hå Ô ¹ Ô Ó Ô ÄÝ Ð Æµ 1 µ 1 Ý 7A0 Ñ ± 0.067%SO µ «Ô Ò» 0.97Å ±» 0.00 mol/l Na SO ph3.1å ØÌ 0.0 mol/l NaHSO 3 ph6.1å Ø Ò ± 0.83 Ì 0.69  Р7A0 Ñ ± 0.067%SO µ «Ô Ò» Ô Â Ô Ò Ë 3. Ù µ 7A0 Ñ ±»Øµ«SO µ º Ô Çº ÝÐ Ò Đر Òб Ú Ò ß ÑØ ¼ ± ßÇÒ ßÌÑß µđì ÍÂ¼Ý ßÇ [13 16] 7A0 Ñ ±»Øµ«SO µ º Ô ÝÐǺ ÔÔµ Đ Ô Ø Ò¼ Ô Ñ ± ÒÄÅÌ Ú Øż»Øµ«SO µ SO µ Ö ß Ú Üß Ü SO Å ¹Í Table 1 Corroson loss lst and correlaton degree of 7A0 Al alloy n dfferent condtons Test condton Corroson loss lst g/m «Atmospherc test n X JC = 0.58Æ1.3Æ.9Æ.19«Jangjn staton Atmospherc test n X JC1 =.17Æ.8Æ8.3Æ15«0.067%SO atmosphere Immerson n 0.00 mol/l X JC =.93Æ16.01Æ31.79Æ69.«Na SO ph3.1«soluton Cyclc wet-dry mmerson X JC3 = 0.93Æ3.1Æ10.7Æ5.1«Test n 0.0 mol/l NaHSO 3 ph6.1«soluton Nate: R JC1 =0.97, R JC =0.83, R JC3 =0.69

6 6 ÈÍ Ö : ¼¹Ò ² ½ SO Ð Ó± ² 51 ßÍ Øà ßÒ Â Äű [9] SO + H O H SO 3 () H SO 3 H + + HSO 3 (3) HSO 3 + [O] HSO () HSO H+ + SO (5) Û Al Òß ph Ñ ±µđíâò Ò Ñ ß µđíâ ½ Ú Ã ± Al O 3 + 6H + Al H O (6) x(al 3+ ) + y(so ) + z(oh ) Al x (SO ) y (OH) z (7) 7A0 Ñ ± 0.0 mol/l NaHSO 3 Ø Çº µđíâò Al O 3 ½ ÇÅ ØØ Ì Ú Ã [9] ± HSO 3 + [O] HSO (8) HSO H+ + SO (9) x(al 3+ ) + y(so ) + z(oh ) Al x (SO ) y (OH) z (10) x(al 3+ ) + y(hso ) + z(oh ) Al x (SO ) y (OH) z (11) 7A0 Ñ ± 0.00 mol/l Na SO ph3.1å Ø º Ú Ë Ò Äż 7A0 Ñ ±»Øµ«SO µ ÌǺ Äű - - Ñ ± µ ÉÔ Ò ÄÅر Đ 7A0 Ñ ± 0.00 mol/l Na SO ph3.1å Ø º Ú Î «Ý ÄÝ» 7A0 Ñ ± ÃÂÔ Ò ÄÝ 7A0 Ñ ± ËÜ 3  SO Ô Ò 7A0 Ñ ±»Øµ«SO µ Ô Ò ÄÅر ÄÝ ³ Ò ÑØ ± Đ ± 0.97 ±» 7A0 Ñ ± 0.00 mol/l Na SO ph3.1å Ø Ô Ô Ò ÄÅÅ ± A0 Ñ ± 0.0 mol/l NaHSO 3 Ø Çº ÒÔ ¼ Ô Ò ÄÅر ÄÝ Ò Ñ 7A0 Ñ ± 0.0 mol/l NaHSO 3 Ø Çº Ò ÄÝ» ± 0.69 (1) 0 8 h 5 16 h 95% RHÅ 7A0 Ñ ± Ç 0.067% SO µ Ò ÄÝ Ô «Ý Õ C = A t n ½Íݱ ÖÞ ËÖ± ¼Ò ÑÌ Ñß ½ () 7A0 Ñ ± 0.00 mol/l Na SO ph3.1å Ø º 70 h ÄÝ «Ò Ý Õ C = A t n ½Íݱ¼ Ò ÖÇ µ ½±¼Ò ÑÌ Ñß ½ (3) Đ 7A0 Ñ ± 0.067% SO µ «ÒÔ Â Ô Ò» Ð ¾ [1] Neufeld A K, Cole I S, Bond A M, et al. The ntal mechansm of corroson of znc by sodum chlorde partcle deposton[j]. Corros. Sc., 00, : [] Oh S J, Coo D C, Townsend H E. Atmospherc corroson of dfferent steels n marne, rural and ndustral envronments[j]. Corros. Sc., 1999, 1: [3] Zhou H R, Ma J, L X G. Corroson behavor of 7A0 alumnum alloy deposted wth sodum chlorde n smulated envronment[j]. Chn. J. Nonferrous Met., 009, 19(5): (ÉÎ, ÛÅ, Ïǹ. ÀÝÔ Ô 7A0 Ó ³ Ñ ÁÔ³ ³. ÁÁ«Ç³Ú, 009, 19(5): ) [] Svensson J E, Johansson G. A laboratory study of the ntal stages of the atmospherc corroson of znc n the presence of NaCl, nfluence of SO and NO [J]. Corros. Sc., 1993, 3(5): [5] Oesch S, Faller M. Envronmental effects on materals: The effect of the ar pollutants SO, NO and O 3 on the corroson of copper, znc and alumnum. A short lterature survey and results of laboratory exposures [J]. Corros. Sc., 1997, 39(9): [6] Han W, Wang Z Y, Yu G C, et al. Corroson of alumnum n wet/dry envronment contanng SO [J]. Chn. J.Nonferrous Met.. 003, 13(): (Æ, ¾Õ, Á. Ó È SO Â/ ³Ñ ÁÔ³. ÁÁ«Ç³Ú, 003, 13(3):631-63) [7] Zhou H R, L X G, Dong C F. The corroson behavors of alumnum alloys n smulated SO pollute atmosphere [J]. J. Aeron. Mater., 008, 8(): 39-5 (ÉÎ, Ïǹ,. Ó ³ SO» Ñ ÁÔ³ ³ [J]. ÊÆ. 008, 8(): 39-5) [8] Ln C, L X G. Atmospherc corroson ntal stages of magnesum alloy n the presence of NaCI and SO [J]. J. Unv. Sc. Technol. Bejng, 00, 16(5): 5-58

7 5 31 (, Ïǹ. NaCl ÀÝÎ SO» ³Ê ³ ³Ô  [J]. Â, 00, 16(5): 5-58) [9] Graedel T E. Corroson mechansms for alumnum exposed to the heat atmosphere [J]. J.Electrochem. Soc., 1989, 136(): 0c-1c [10] Zhou H R, L X G, Ma J. Dependence of the corroson behavor of alumnum alloy 7075 on the thn electrolyte layers [J]. Mater. Sc. Eng., 009, 16 B: 1-8 [11] Zhou H R, L X G, Dong C F. Corroson behavors of alumnum alloys after cyclc wet-dry mmerson test n 0.0 mol/l NaHSO 3 soluton [J]. J. Chn. Soc. Corros. Prot., 008, 8(6): (ÉÎ, Ïǹ, ÛÅ. Ó ³ NaHSO 3 ÙÁ É»³ Đ ³ [J]. ÁÁ³, 008: 8(6): ) [1] Zhou H R, Ma J, Lu Q K. Corroson study of alumnum alloys n Jangjn envronment [J]. Equp. Envron. Eng., 009, 6(3): 10-1 (ÉÎ, ÛÅ, в. Ó ³ Ñ ÁÔ³ ³. Ï Ñ Æ, 009, 6(3): 10-1) [13] LI J F, Zheng Z Q, Ren W D. Functon mechansm of secondary phase on localzed corroson of Al alloy[j]. Mater. Rev., 005, 19(): (Ͻ,,. ÜÆ Ó ³ ³ ÁÔ Û [J]., 005, 19(): 81-83) [1] Buchhet R G, Grant R P, Hlavaa P F, et al. Local dssoluton phenomena assocated wth S phase(al CuMg) partcles n alumnum alloy 0-T3 [J]. J Electrochem. Soc., 1997, 1(8): [15] Buchhet R G, Martnez M A, Montes L P. Evdence for Cu on formaton by dssoluton and dealloyng the Al CuMg ntermetallc compound n rotatng rng-dsh collecton experments [J]. J Electrochem.Soc., 000, 17: [16] Lao C M, Olve J M, Gao M, et al. In-stu montorng of pttng corroson n alumnum alloy 0[J]. Corroson, 1998, 5: CORROSION BEHAVIORS AND RELATIVITY OF HIGH STRENGTH ALUMINUM ALLOY IN DIFFERENT SIMULATED SO ENVIRONMENT ZHOU Herong 1, MA Jan 1, LI Xaogang, JIE Ganxn 1, FENG Hao 1, WANG Jun, ZHAO Yue 1 1. Chna Natonal Electrc Apparatus Research Insttute, Guangzhou ;. Corroson and Protecton Center, Unversty of Scence and Technology Bejng, Bejng Abstract: The corroson behavors of hgh strength alumnum alloy 7A0 n three dfferent expermental condtons have been nvestgated by scannng electron mcroscope (SEM), energy dspersve X-ray detecton (EDX), Fourer transform nfrared(ftir) and mass loss method, and the relatvty has been analyged wth the result of Jangjn atmospherc envronment. The results show that the corroson product ncreases wth testng hours prolongng, and the mass loss of corroson product obeys the exponental rule as C = A t n. Surface observaton shows that corroson product s agglomerated and extended forth. The corroson products are made up of alumna, alumnum sulfate hydrate and alumnum chlorde. The smulaton results for the alumnum alloy 7A0 at cyclc wet-heat condtons (0,8 h; 5, 16 h; 95% RH) n the 0.067% SO polluted envronment had better correlaton wth Jangjn exposure result accordng to the mass loss data n all smulaton methods n the paper. Key words: alumnum alloys, SO envronment, mass loss method relatvty

An Example file... log.txt

An Example file... log.txt # ' ' Start of fie & %$ " 1 - : 5? ;., B - ( * * B - ( * * F I / 0. )- +, * ( ) 8 8 7 /. 6 )- +, 5 5 3 2( 7 7 +, 6 6 9( 3 5( ) 7-0 +, => - +< ( ) )- +, 7 / +, 5 9 (. 6 )- 0 * D>. C )- +, (A :, C 0 )- +,

More information

! " # $! % & '! , ) ( + - (. ) ( ) * + / 0 1 2 3 0 / 4 5 / 6 0 ; 8 7 < = 7 > 8 7 8 9 : Œ Š ž P P h ˆ Š ˆ Œ ˆ Š ˆ Ž Ž Ý Ü Ý Ü Ý Ž Ý ê ç è ± ¹ ¼ ¹ ä ± ¹ w ç ¹ è ¼ è Œ ¹ ± ¹ è ¹ è ä ç w ¹ ã ¼ ¹ ä ¹ ¼ ¹ ±

More information

This document has been prepared by Sunder Kidambi with the blessings of

This document has been prepared by Sunder Kidambi with the blessings of Ö À Ö Ñ Ø Ò Ñ ÒØ Ñ Ý Ò Ñ À Ö Ñ Ò Ú º Ò Ì ÝÊ À Å Ú Ø Å Ê ý Ú ÒØ º ÝÊ Ú Ý Ê Ñ º Å º ² ºÅ ý ý ý ý Ö Ð º Ñ ÒÜ Æ Å Ò Ñ Ú «Ä À ý ý This document has been prepared by Sunder Kidambi with the blessings of Ö º

More information

Thermal Conductivity of Electric Molding Composites Filled with β-si 3 N 4

Thermal Conductivity of Electric Molding Composites Filled with β-si 3 N 4 22 Ê 6  ŠVol. 22, No. 6 2007 11 à Journal of Inorganic Materials Nov., 2007 Ð ¹: 1000-324X(200706-1201-05 β-si 3 N 4 / ¾Ú Đ Â ÉÓÅÖ ¼» 1, ³ º 1, µ² 2, ¹ 3 (1. ÅƱ 100084; 2. 100081; 3. ««210016 Û«º β-si

More information

Surface Modification of Nano-Hydroxyapatite with Silane Agent

Surface Modification of Nano-Hydroxyapatite with Silane Agent ß 23 ß 1 «Ã Vol. 23, No. 1 2008 Ç 1 Journal of Inorganic Materials Jan., 2008» : 1000-324X(2008)01-0145-05 Þ¹ Ò À Đ³ Ù Å Ð (ÎÄÅ Ç ÂÍ ËÊÌÏÁÉ È ÃÆ 610064) Ì É (KH-560) ¼ ³ (n-ha) ³ ËØ ÌË n-ha KH-560 Õ Ì»Þ

More information

Pose Determination from a Single Image of a Single Parallelogram

Pose Determination from a Single Image of a Single Parallelogram Ê 32 Ê 5 ¾ Vol.32, No.5 2006 9 ACTA AUTOMATICA SINICA September, 2006 Û Ê 1) 1, 2 2 1 ( ÔÅ Æ 100041) 2 (Ñ Ò º 100037 ) (E-mail: fmsun@163.com) ¼ÈÙ Æ Ü Äµ ÕÑ ÅÆ ¼ÈÙ ÆÄ Ä Äº ¼ÈÙ ÆÄ Ü ÜÓ µ É» Ì É»²ÂÄÎ ¼ÐÅÄÕ

More information

â, Đ (Very Long Baseline Interferometry, VLBI)

â, Đ (Very Long Baseline Interferometry, VLBI) ½ 55 ½ 5 Í Vol.55 No.5 2014 9 ACTA ASTRONOMICA SINICA Sep., 2014» Á Çý è 1,2 1,2 å 1,2 Ü ô 1,2 ï 1,2 ï 1,2 à 1,3 Æ Ö 3 ý (1 Á Í 200030) (2 Á Í û À 210008) (3 541004) ÇÅè 1.5 GHz Á è, î Í, û ÓÆ Å ò ½Ò ¼ï.

More information

General Neoclassical Closure Theory: Diagonalizing the Drift Kinetic Operator

General Neoclassical Closure Theory: Diagonalizing the Drift Kinetic Operator General Neoclassical Closure Theory: Diagonalizing the Drift Kinetic Operator E. D. Held eheld@cc.usu.edu Utah State University General Neoclassical Closure Theory:Diagonalizing the Drift Kinetic Operator

More information

APPARENT AND PHYSICALLY BASED CONSTITUTIVE ANALYSES FOR HOT DEFORMATION OF AUSTENITE IN 35Mn2 STEEL

APPARENT AND PHYSICALLY BASED CONSTITUTIVE ANALYSES FOR HOT DEFORMATION OF AUSTENITE IN 35Mn2 STEEL 49 6 Vol49 No6 213 6 731 738 ACTA METALLURGICA SINICA Jun 213 pp731 738 º à 35Mn2 ³Í Ê Ü 1) ĐÛ 1,2) 1) Æ Ý 2) 1) ű± ± ±, 183 2) ű Û¼± ¼», 183 Ð Ê µ ¼ 3 Æ ² Ù, ÛÎ 35Mn2 Æ ²µÛ ºÐ Î Ç Đ ¹Ù ² ¾ ÜÜĐ ², Ù

More information

ÇÙÐ Ò ½º ÅÙÐ ÔÐ ÔÓÐÝÐÓ Ö Ñ Ò Ú Ö Ð Ú Ö Ð ¾º Ä Ò Ö Ö Ù Ð Ý Ó ËÝÑ ÒÞ ÔÓÐÝÒÓÑ Ð º Ì ÛÓ¹ÐÓÓÔ ÙÒÖ Ö Ô Û Ö Ö ÖÝ Ñ ¹ ÝÓÒ ÑÙÐ ÔÐ ÔÓÐÝÐÓ Ö Ñ

ÇÙÐ Ò ½º ÅÙÐ ÔÐ ÔÓÐÝÐÓ Ö Ñ Ò Ú Ö Ð Ú Ö Ð ¾º Ä Ò Ö Ö Ù Ð Ý Ó ËÝÑ ÒÞ ÔÓÐÝÒÓÑ Ð º Ì ÛÓ¹ÐÓÓÔ ÙÒÖ Ö Ô Û Ö Ö ÖÝ Ñ ¹ ÝÓÒ ÑÙÐ ÔÐ ÔÓÐÝÐÓ Ö Ñ ÅÙÐ ÔÐ ÔÓÐÝÐÓ Ö Ñ Ò ÝÒÑ Ò Ò Ö Ð Ö Ò Ó Ò Ö ÀÍ ÖÐ Òµ Ó Ò ÛÓÖ Û Ö Ò ÖÓÛÒ Ö Ú ½ ¼¾º ¾½ Û Åº Ä Ö Ö Ú ½ ¼¾º ¼¼ Û Äº Ñ Ò Ëº Ï ÒÞ ÖÐ Å ÒÞ ½ º¼ º¾¼½ ÇÙÐ Ò ½º ÅÙÐ ÔÐ ÔÓÐÝÐÓ Ö Ñ Ò Ú Ö Ð Ú Ö Ð ¾º Ä Ò Ö Ö Ù Ð Ý Ó ËÝÑ

More information

Ú Bruguieres, A. Virelizier, A. [4] Á «Î µà Monoidal

Ú Bruguieres, A. Virelizier, A. [4] Á «Î µà Monoidal 40 2 Æ Vol.40, No.2 2011 4 ADVANCES IN MATHEMATICS April, 2011 273165) T- ÆÖ Ñ Ó 1,, 2 (1. È Ä È 832003; 2. È Ä È Ì. ½ A- (coring) T- (comonad) ( ± A º ¼ T º (monad)).» ³¹ (firm) µ ³ Frobenius ² ¾ ³ ¾

More information

Application of ICA and PCA to extracting structure from stock return

Application of ICA and PCA to extracting structure from stock return 2014 3 Å 28 1 Ð Mar. 2014 Communication on Applied Mathematics and Computation Vol.28 No.1 DOI 10.3969/j.issn.1006-6330.2014.01.012 Ç ÖÇ Ú ¾Ä Î Þ Ý ( 200433) Ç È ß ³ Õº º ÅÂÞÐÆÈÛ CAC40 Õ Û ËÛ ¾ ÆÄ (ICA)

More information

LA PRISE DE CALAIS. çoys, çoys, har - dis. çoys, dis. tons, mantz, tons, Gas. c est. à ce. C est à ce. coup, c est à ce

LA PRISE DE CALAIS. çoys, çoys, har - dis. çoys, dis. tons, mantz, tons, Gas. c est. à ce. C est à ce. coup, c est à ce > ƒ? @ Z [ \ _ ' µ `. l 1 2 3 z Æ Ñ 6 = Ð l sl (~131 1606) rn % & +, l r s s, r 7 nr ss r r s s s, r s, r! " # $ s s ( ) r * s, / 0 s, r 4 r r 9;: < 10 r mnz, rz, r ns, 1 s ; j;k ns, q r s { } ~ l r mnz,

More information

UNIQUE FJORDS AND THE ROYAL CAPITALS UNIQUE FJORDS & THE NORTH CAPE & UNIQUE NORTHERN CAPITALS

UNIQUE FJORDS AND THE ROYAL CAPITALS UNIQUE FJORDS & THE NORTH CAPE & UNIQUE NORTHERN CAPITALS Q J j,. Y j, q.. Q J & j,. & x x. Q x q. ø. 2019 :. q - j Q J & 11 Y j,.. j,, q j q. : 10 x. 3 x - 1..,,. 1-10 ( ). / 2-10. : 02-06.19-12.06.19 23.06.19-03.07.19 30.06.19-10.07.19 07.07.19-17.07.19 14.07.19-24.07.19

More information

T T V e g em D e j ) a S D } a o "m ek j g ed b m "d mq m [ d, )

T T V e g em D e j ) a S D } a o m ek j g ed b m d mq m [ d, ) . ) 6 3 ; 6 ;, G E E W T S W X D ^ L J R Y [ _ ` E ) '" " " -, 7 4-4 4-4 ; ; 7 4 4 4 4 4 ;= : " B C CA BA " ) 3D H E V U T T V e g em D e j ) a S D } a o "m ek j g ed b m "d mq m [ d, ) W X 6 G.. 6 [ X

More information

Planning for Reactive Behaviors in Hide and Seek

Planning for Reactive Behaviors in Hide and Seek University of Pennsylvania ScholarlyCommons Center for Human Modeling and Simulation Department of Computer & Information Science May 1995 Planning for Reactive Behaviors in Hide and Seek Michael B. Moore

More information

Ä D C Ã F D {f n } F,

Ä D C à F D {f n } F, 2016, 37A(2):233 242 DOI: 1016205/jcnkicama20160020 Í Æ ß È Õ Ä Ü È Ø Ó Đ * 1 2 3 Ð Ã µ½ ¹Ï ½» ÒÄà µ½ Í ÞÞ Ï Å ¹Ï µ½ MR (2010) Î 30D35, 30D45 Ð ÌÎ O17452 Ñ A ÛÁ 1000-8314(2016)02-0233-10 1 Ú Ö Ä D C Ã

More information

OC330C. Wiring Diagram. Recommended PKH- P35 / P50 GALH PKA- RP35 / RP50. Remarks (Drawing No.) No. Parts No. Parts Name Specifications

OC330C. Wiring Diagram. Recommended PKH- P35 / P50 GALH PKA- RP35 / RP50. Remarks (Drawing No.) No. Parts No. Parts Name Specifications G G " # $ % & " ' ( ) $ * " # $ % & " ( + ) $ * " # C % " ' ( ) $ * C " # C % " ( + ) $ * C D ; E @ F @ 9 = H I J ; @ = : @ A > B ; : K 9 L 9 M N O D K P D N O Q P D R S > T ; U V > = : W X Y J > E ; Z

More information

TELEMATICS LINK LEADS

TELEMATICS LINK LEADS EEAICS I EADS UI CD PHOE VOICE AV PREIU I EADS REQ E E A + A + I A + I E B + E + I B + E + I B + E + H B + I D + UI CD PHOE VOICE AV PREIU I EADS REQ D + D + D + I C + C + C + C + I G G + I G + I G + H

More information

Towards the modeling of microgalvanic coupling in aluminum alloys : the choice of boundary conditions

Towards the modeling of microgalvanic coupling in aluminum alloys : the choice of boundary conditions Presented at the COMSOL Conference 2008 Boston COMSOL Conference BOSTON November 9-11 2008 Towards the modelng of mcrogalvanc couplng n alumnum alloys : the choce of boundary condtons Ncolas Murer *1,

More information

An Introduction to Optimal Control Applied to Disease Models

An Introduction to Optimal Control Applied to Disease Models An Introduction to Optimal Control Applied to Disease Models Suzanne Lenhart University of Tennessee, Knoxville Departments of Mathematics Lecture1 p.1/37 Example Number of cancer cells at time (exponential

More information

I118 Graphs and Automata

I118 Graphs and Automata I8 Graphs and Automata Takako Nemoto http://www.jaist.ac.jp/ t-nemoto/teaching/203--.html April 23 0. Û. Û ÒÈÓ 2. Ø ÈÌ (a) ÏÛ Í (b) Ø Ó Ë (c) ÒÑ ÈÌ (d) ÒÌ (e) É Ö ÈÌ 3. ÈÌ (a) Î ÎÖ Í (b) ÒÌ . Û Ñ ÐÒ f

More information

ADVANCES IN MATHEMATICS(CHINA)

ADVANCES IN MATHEMATICS(CHINA) Æ Ý ¹ ADVANCES IN MATHEMATICS(CHINA) 0 median Đ Ó ( ºÕ ³,, ÓÚ, 330013) doi: 10.11845/sxjz.2012080b : u,v ¹ w G, z ÁÇÉ Ë½ ±, È z À u,v ¹ w Ä median. G À²Ï median, G Î Å Ì ÆÄ median. à ²Ï median µ» ÂÍ, ¾

More information

" #$ P UTS W U X [ZY \ Z _ `a \ dfe ih j mlk n p q sr t u s q e ps s t x q s y i_z { U U z W } y ~ y x t i e l US T { d ƒ ƒ ƒ j s q e uˆ ps i ˆ p q y

 #$ P UTS W U X [ZY \ Z _ `a \ dfe ih j mlk n p q sr t u s q e ps s t x q s y i_z { U U z W } y ~ y x t i e l US T { d ƒ ƒ ƒ j s q e uˆ ps i ˆ p q y " #$ +. 0. + 4 6 4 : + 4 ; 6 4 < = =@ = = =@ = =@ " #$ P UTS W U X [ZY \ Z _ `a \ dfe ih j mlk n p q sr t u s q e ps s t x q s y i_z { U U z W } y ~ y x t i e l US T { d ƒ ƒ ƒ j s q e uˆ ps i ˆ p q y h

More information

cº " 6 >IJV 5 l i u $

cº  6 >IJV 5 l i u $ !"!#" $ #! &'!!"! (!)*)+), :;23 V' )! *" #$ V ' ' - & +# # J E 1 8# J E.R > +.+# E X78 E.R1 8#[0 FZE > 1 8# 0IJ"U 2A > 1 8# J EK? FZE a2 J+# ;1 8# J EK. C B.> B.> Y $ 1 8# J E. 4 8 B.EK\ X Q8#\ > 1 8#

More information

EXTRACT THE PLASTIC PROPERTIES OF METALS US- ING REVERSE ANALYSIS OF NANOINDENTATION TEST

EXTRACT THE PLASTIC PROPERTIES OF METALS US- ING REVERSE ANALYSIS OF NANOINDENTATION TEST 47 3 Vol.47 No.3 211 Ê 3 321 326 ACTA METALLURGICA SINICA Mar. 211 pp.321 326 ±Á Æ ½ Å³Æ ¹ 1 Î 1 ÏÍ 1 1 Ì 2 Ë 1 1 ¾ Þº, ¾ 324 2 ¾ ³» Í Þº, ¾ 324 Æ ± Ó Ó ÆÏÞØ,  ¼ ± È Á ÅÛ ÖÝÛ, Ó Ó Ï ¼ ±. º Ì Ï, Á ÅÛ ÖÝÛ

More information

$%! & (, -3 / 0 4, 5 6/ 6 +7, 6 8 9/ 5 :/ 5 A BDC EF G H I EJ KL N G H I. ] ^ _ ` _ ^ a b=c o e f p a q i h f i a j k e i l _ ^ m=c n ^

$%! & (, -3 / 0 4, 5 6/ 6 +7, 6 8 9/ 5 :/ 5 A BDC EF G H I EJ KL N G H I. ] ^ _ ` _ ^ a b=c o e f p a q i h f i a j k e i l _ ^ m=c n ^ ! #" $%! & ' ( ) ) (, -. / ( 0 1#2 ' ( ) ) (, -3 / 0 4, 5 6/ 6 7, 6 8 9/ 5 :/ 5 ;=? @ A BDC EF G H I EJ KL M @C N G H I OPQ ;=R F L EI E G H A S T U S V@C N G H IDW G Q G XYU Z A [ H R C \ G ] ^ _ `

More information

PART IV LIVESTOCK, POULTRY AND FISH PRODUCTION

PART IV LIVESTOCK, POULTRY AND FISH PRODUCTION ! " $#%(' ) PART IV LIVSTOCK, POULTRY AND FISH PRODUCTION Table (93) MAIN GROUPS OF ANIMAL PRODUCTS Production 1000 M.T Numbers 1000 Head Type 2012 Numbers Cattle 54164.5 53434.6 Buffaloes 4304.51 4292.51

More information

Executive Committee and Officers ( )

Executive Committee and Officers ( ) Gifted and Talented International V o l u m e 2 4, N u m b e r 2, D e c e m b e r, 2 0 0 9. G i f t e d a n d T a l e n t e d I n t e r n a t i o n a2 l 4 ( 2), D e c e m b e r, 2 0 0 9. 1 T h e W o r

More information

ETIKA V PROFESII PSYCHOLÓGA

ETIKA V PROFESII PSYCHOLÓGA P r a ž s k á v y s o k á š k o l a p s y c h o s o c i á l n í c h s t u d i í ETIKA V PROFESII PSYCHOLÓGA N a t á l i a S l o b o d n í k o v á v e d ú c i p r á c e : P h D r. M a r t i n S t r o u

More information

Differentiating Functions & Expressions - Edexcel Past Exam Questions

Differentiating Functions & Expressions - Edexcel Past Exam Questions - Edecel Past Eam Questions. (a) Differentiate with respect to (i) sin + sec, (ii) { + ln ()}. 5-0 + 9 Given that y =, ¹, ( -) 8 (b) show that = ( -). (6) June 05 Q. f() = e ln, > 0. (a) Differentiate

More information

The University of Bath School of Management is one of the oldest established management schools in Britain. It enjoys an international reputation for

The University of Bath School of Management is one of the oldest established management schools in Britain. It enjoys an international reputation for The University of Bath School of Management is one of the oldest established management schools in Britain. It enjoys an international reputation for the quality of its teaching and research. Its mission

More information

hal , version 1-27 Mar 2014

hal , version 1-27 Mar 2014 Author manuscript, published in "2nd Multidisciplinary International Conference on Scheduling : Theory and Applications (MISTA 2005), New York, NY. : United States (2005)" 2 More formally, we denote by

More information

Framework for functional tree simulation applied to 'golden delicious' apple trees

Framework for functional tree simulation applied to 'golden delicious' apple trees Purdue University Purdue e-pubs Open Access Theses Theses and Dissertations Spring 2015 Framework for functional tree simulation applied to 'golden delicious' apple trees Marek Fiser Purdue University

More information

A Study on Dental Health Awareness of High School Students

A Study on Dental Health Awareness of High School Students Journal of Dental Hygiene Science Vol. 3, No. 1,. 23~ 31 (2003), 1 Su-Min Yoo and Geum-Sun Ahn 1 Deartment of Dental Hygiene, Dong-u College 1 Deartment of Dental Hygiene, Kyung Bok College In this research,

More information

Radiative Electroweak Symmetry Breaking with Neutrino Effects in Supersymmetric SO(10) Unifications

Radiative Electroweak Symmetry Breaking with Neutrino Effects in Supersymmetric SO(10) Unifications KEKPH06 p.1/17 Radiative Electroweak Symmetry Breaking with Neutrino Effects in Supersymmetric SO(10) Unifications Kentaro Kojima Based on the work with Kenzo Inoue and Koichi Yoshioka (Department of Physics,

More information

I N A C O M P L E X W O R L D

I N A C O M P L E X W O R L D IS L A M I C E C O N O M I C S I N A C O M P L E X W O R L D E x p l o r a t i o n s i n A g-b eanste d S i m u l a t i o n S a m i A l-s u w a i l e m 1 4 2 9 H 2 0 0 8 I s l a m i c D e v e l o p m e

More information

A Robust Adaptive Digital Audio Watermarking Scheme Against MP3 Compression

A Robust Adaptive Digital Audio Watermarking Scheme Against MP3 Compression ½ 33 ½ 3 Þ Vol. 33, No. 3 7 3 ACTA AUTOMATICA SINICA March, 7 è ¹ MP3 ß å 1, Ä 1 1 ý Â Åè ó ó ß Ì ß ñ1) Ä Ǒ ² ÂÔÅ þíò) û Ð (Discrete wavelet transform, DWT) Ð ßÙ (Discrete cosine transform, DCT) Í Í Å

More information

A Language for Task Orchestration and its Semantic Properties

A Language for Task Orchestration and its Semantic Properties DEPARTMENT OF COMPUTER SCIENCES A Language for Task Orchestration and its Semantic Properties David Kitchin, William Cook and Jayadev Misra Department of Computer Science University of Texas at Austin

More information

Examination paper for TFY4240 Electromagnetic theory

Examination paper for TFY4240 Electromagnetic theory Department of Physics Examination paper for TFY4240 Electromagnetic theory Academic contact during examination: Associate Professor John Ove Fjærestad Phone: 97 94 00 36 Examination date: 16 December 2015

More information

Applications of Discrete Mathematics to the Analysis of Algorithms

Applications of Discrete Mathematics to the Analysis of Algorithms Applications of Discrete Mathematics to the Analysis of Algorithms Conrado Martínez Univ. Politècnica de Catalunya, Spain May 2007 Goal Given some algorithm taking inputs from some set Á, we would like

More information

Max. Input Power (W) Input Current (Arms) Dimming. Enclosure

Max. Input Power (W) Input Current (Arms) Dimming. Enclosure Product Overview XI025100V036NM1M Input Voltage (Vac) Output Power (W) Output Voltage Range (V) Output urrent (A) Efficiency@ Max Load and 70 ase Max ase Temp. ( ) Input urrent (Arms) Max. Input Power

More information

PH Nuclear Physics Laboratory Gamma spectroscopy (NP3)

PH Nuclear Physics Laboratory Gamma spectroscopy (NP3) Physics Department Royal Holloway University of London PH2510 - Nuclear Physics Laboratory Gamma spectroscopy (NP3) 1 Objectives The aim of this experiment is to demonstrate how γ-ray energy spectra may

More information

F O R SOCI AL WORK RESE ARCH

F O R SOCI AL WORK RESE ARCH 7 TH EUROPE AN CONFERENCE F O R SOCI AL WORK RESE ARCH C h a l l e n g e s i n s o c i a l w o r k r e s e a r c h c o n f l i c t s, b a r r i e r s a n d p o s s i b i l i t i e s i n r e l a t i o n

More information

P a g e 5 1 of R e p o r t P B 4 / 0 9

P a g e 5 1 of R e p o r t P B 4 / 0 9 P a g e 5 1 of R e p o r t P B 4 / 0 9 J A R T a l s o c o n c l u d e d t h a t a l t h o u g h t h e i n t e n t o f N e l s o n s r e h a b i l i t a t i o n p l a n i s t o e n h a n c e c o n n e

More information

T i t l e o f t h e w o r k : L a M a r e a Y o k o h a m a. A r t i s t : M a r i a n o P e n s o t t i ( P l a y w r i g h t, D i r e c t o r )

T i t l e o f t h e w o r k : L a M a r e a Y o k o h a m a. A r t i s t : M a r i a n o P e n s o t t i ( P l a y w r i g h t, D i r e c t o r ) v e r. E N G O u t l i n e T i t l e o f t h e w o r k : L a M a r e a Y o k o h a m a A r t i s t : M a r i a n o P e n s o t t i ( P l a y w r i g h t, D i r e c t o r ) C o n t e n t s : T h i s w o

More information

The Effect of Temperature and Space Velocity on the Performance of Plate Reformer for Molten Carbonate Fuel Cell

The Effect of Temperature and Space Velocity on the Performance of Plate Reformer for Molten Carbonate Fuel Cell HWAHAK KONGHAK Vol. 38, No. 5, October, 2000, pp. 719-724 (Journal of the Korean Institute of Chemical Engineers) (1999 5 31, 2000 8 1 ) The Effect of Temperature and Space Velocity on the Performance

More information

Constructive Decision Theory

Constructive Decision Theory Constructive Decision Theory Joe Halpern Cornell University Joint work with Larry Blume and David Easley Economics Cornell Constructive Decision Theory p. 1/2 Savage s Approach Savage s approach to decision

More information

2 Hallén s integral equation for the thin wire dipole antenna

2 Hallén s integral equation for the thin wire dipole antenna Ú Ð Ð ÓÒÐ Ò Ø ØØÔ»» Ѻ Ö Ùº º Ö ÁÒغ º ÁÒ Ù ØÖ Ð Å Ø Ñ Ø ÎÓк ÆÓº ¾ ¾¼½½µ ½ ¹½ ¾ ÆÙÑ Ö Ð Ñ Ø Ó ÓÖ Ò ÐÝ Ó Ö Ø ÓÒ ÖÓÑ Ø Ò Û Ö ÔÓÐ ÒØ ÒÒ Ëº À Ø ÑÞ ¹Î ÖÑ ÞÝ Ö Åº Æ Ö¹ÅÓ Êº Ë Þ ¹Ë Ò µ Ô ÖØÑ ÒØ Ó Ð ØÖ Ð Ò Ò

More information

SME 3023 Applied Numerical Methods

SME 3023 Applied Numerical Methods UNIVERSITI TEKNOLOGI MALAYSIA SME 3023 Applied Numerical Methods Ordinary Differential Equations Abu Hasan Abdullah Faculty of Mechanical Engineering Sept 2012 Abu Hasan Abdullah (FME) SME 3023 Applied

More information

Lecture 16: Modern Classification (I) - Separating Hyperplanes

Lecture 16: Modern Classification (I) - Separating Hyperplanes Lecture 16: Modern Classification (I) - Separating Hyperplanes Outline 1 2 Separating Hyperplane Binary SVM for Separable Case Bayes Rule for Binary Problems Consider the simplest case: two classes are

More information

ACS AKK R0125 REV B 3AKK R0125 REV B 3AKK R0125 REV C KR Effective : Asea Brown Boveri Ltd.

ACS AKK R0125 REV B 3AKK R0125 REV B 3AKK R0125 REV C KR Effective : Asea Brown Boveri Ltd. ACS 100 Í ACS 100 Í 3AKK R0125 REV B 3AKK R0125 REV B 3AKK R0125 REV C KR Effective : 1999.9 1999 Asea Brown Boveri Ltd. 2 ! ACS100 { { ä ~.! ACS100 i{ ~. Õ 5 ˆ Ã ACS100 À Ãåä.! ˆ [ U1, V1, W1(L,N), U2,

More information

Optimal Control of PDEs

Optimal Control of PDEs Optimal Control of PDEs Suzanne Lenhart University of Tennessee, Knoville Department of Mathematics Lecture1 p.1/36 Outline 1. Idea of diffusion PDE 2. Motivating Eample 3. Big picture of optimal control

More information

Problem 1 (From the reservoir to the grid)

Problem 1 (From the reservoir to the grid) ÈÖÓ º ĺ ÙÞÞ ÐÐ ÈÖÓ º ʺ ³ Ò Ö ½ ½¹¼ ¼¹¼¼ ËÝ Ø Ñ ÅÓ Ð Ò ÀË ¾¼½ µ Ü Ö ÌÓÔ ÀÝ ÖÓ Ð ØÖ ÔÓÛ Ö ÔÐ ÒØ À Èȵ ¹ È ÖØ ÁÁ Ð ÖÒ Ø Þº ÇØÓ Ö ½ ¾¼½ Problem (From the reservoir to the grid) The causality diagram of the

More information

QUESTIONS ON QUARKONIUM PRODUCTION IN NUCLEAR COLLISIONS

QUESTIONS ON QUARKONIUM PRODUCTION IN NUCLEAR COLLISIONS International Workshop Quarkonium Working Group QUESTIONS ON QUARKONIUM PRODUCTION IN NUCLEAR COLLISIONS ALBERTO POLLERI TU München and ECT* Trento CERN - November 2002 Outline What do we know for sure?

More information

Last 4 Digits of USC ID:

Last 4 Digits of USC ID: Chemistry 05 B Practice Exam Dr. Jessica Parr First Letter of last Name PLEASE PRINT YOUR NAME IN BLOCK LETTERS Name: Last 4 Digits of USC ID: Lab TA s Name: Question Points Score Grader 8 2 4 3 9 4 0

More information

T h e C S E T I P r o j e c t

T h e C S E T I P r o j e c t T h e P r o j e c t T H E P R O J E C T T A B L E O F C O N T E N T S A r t i c l e P a g e C o m p r e h e n s i v e A s s es s m e n t o f t h e U F O / E T I P h e n o m e n o n M a y 1 9 9 1 1 E T

More information

New method for solving nonlinear sum of ratios problem based on simplicial bisection

New method for solving nonlinear sum of ratios problem based on simplicial bisection V Ù â ð f 33 3 Vol33, No3 2013 3 Systems Engineering Theory & Practice Mar, 2013 : 1000-6788(2013)03-0742-06 : O2112!"#$%&')(*)+),-))/0)1)23)45 : A 687:9 1, ;:= 2 (1?@ACBEDCFHCFEIJKLCFFM, NCO 453007;

More information

I M P O R T A N T S A F E T Y I N S T R U C T I O N S W h e n u s i n g t h i s e l e c t r o n i c d e v i c e, b a s i c p r e c a u t i o n s s h o

I M P O R T A N T S A F E T Y I N S T R U C T I O N S W h e n u s i n g t h i s e l e c t r o n i c d e v i c e, b a s i c p r e c a u t i o n s s h o I M P O R T A N T S A F E T Y I N S T R U C T I O N S W h e n u s i n g t h i s e l e c t r o n i c d e v i c e, b a s i c p r e c a u t i o n s s h o u l d a l w a y s b e t a k e n, i n c l u d f o l

More information

u x + u y = x u . u(x, 0) = e x2 The characteristics satisfy dx dt = 1, dy dt = 1

u x + u y = x u . u(x, 0) = e x2 The characteristics satisfy dx dt = 1, dy dt = 1 Õ 83-25 Þ ÛÐ Þ Ð ÚÔÜØ Þ ÝÒ Þ Ô ÜÞØ ¹ 3 Ñ Ð ÜÞ u x + u y = x u u(x, 0) = e x2 ÝÒ Þ Ü ÞØ º½ dt =, dt = x = t + c, y = t + c 2 We can choose c to be zero without loss of generality Note that each characteristic

More information

SKMM 3023 Applied Numerical Methods

SKMM 3023 Applied Numerical Methods UNIVERSITI TEKNOLOGI MALAYSIA SKMM 3023 Applied Numerical Methods Ordinary Differential Equations ibn Abdullah Faculty of Mechanical Engineering Òº ÙÐÐ ÚºÒÙÐÐ ¾¼½ SKMM 3023 Applied Numerical Methods Ordinary

More information

[ ]:543.4(075.8) 35.20: ,..,..,.., : /... ;. 2-. ISBN , - [ ]:543.4(075.8) 35.20:34.

[ ]:543.4(075.8) 35.20: ,..,..,.., : /... ;. 2-. ISBN , - [ ]:543.4(075.8) 35.20:34. .. - 2-2009 [661.87.+661.88]:543.4(075.8) 35.20:34.2373-60..,..,..,..,.. -60 : /... ;. 2-. : -, 2008. 134. ISBN 5-98298-299-7 -., -,,. - «,, -, -», - 550800,, 240600 «-», -. [661.87.+661.88]:543.4(075.8)

More information

OH BOY! Story. N a r r a t iv e a n d o bj e c t s th ea t e r Fo r a l l a g e s, fr o m th e a ge of 9

OH BOY! Story. N a r r a t iv e a n d o bj e c t s th ea t e r Fo r a l l a g e s, fr o m th e a ge of 9 OH BOY! O h Boy!, was or igin a lly cr eat ed in F r en ch an d was a m a jor s u cc ess on t h e Fr en ch st a ge f or young au di enc es. It h a s b een s een by ap pr ox i ma t ely 175,000 sp ect at

More information

Research of Application the Virtual Reality Technology in Chemistry Education

Research of Application the Virtual Reality Technology in Chemistry Education Journal of the Korean Chemical Society Printed in the Republic of Korea * (2002. 8. 29 ) Research of Application the Virtual Reality Technology in Chemistry Education Jong Seok Park*, Kew Cheol Shim, Hyun

More information

Problem 1 (From the reservoir to the grid)

Problem 1 (From the reservoir to the grid) ÈÖÓ º ĺ ÙÞÞ ÐÐ ÈÖÓ º ʺ ³ Ò Ö ½ ½¹¼ ¹¼¼ ËÝ Ø Ñ ÅÓ Ð Ò ÀË ¾¼½ µ Ü Ö ËÓÐÙØ ÓÒ ÌÓÔ ÀÝ ÖÓ Ð ØÖ ÔÓÛ Ö ÔÐ ÒØ À Èȵ ¹ È ÖØ ÁÁ Ð ÖÒ Ø Þº ÇØÓ Ö ¾ ¾¼½ Problem 1 (From the reservoir to the grid) The causality diagram

More information

(C) Pavel Sedach and Prep101 1

(C) Pavel Sedach and Prep101 1 (C) Pavel Sedach and Prep101 1 (C) Pavel Sedach and Prep101 1 (C) Pavel Sedach and Prep101 2 (C) Pavel Sedach and Prep101 2 (C) Pavel Sedach and Prep101 3 (C) Pavel Sedach and Prep101 3 (C) Pavel Sedach

More information

:,,.. ;,..,.,. 90 :.. :, , «-»,, -. : -,,, -, -., ,, -, -. - «-»:,,, ,.,.

:,,.. ;,..,.,. 90 :.. :, , «-»,, -. : -,,, -, -., ,, -, -. - «-»:,,, ,.,. .,.,. 2015 1 614.8 68.9 90 :,,.. ;,. 90.,.,. :.. :, 2015. 164. - - 280700, «-»,, -. : -,,, -, -.,. -. -. -,, -, -. - «-»:,,, -. 614.8 68.9.,.,., 2015, 2015 2 ... 5... 7 1.... 7 1.1.... 7 1.2.... 9 1.3....

More information

Relation Between the Growth Twin and the Morphology of a Czochralski Silicon Single Crystal

Relation Between the Growth Twin and the Morphology of a Czochralski Silicon Single Crystal Korean J. Crystallography Vol. 11, No. 4, pp.207~211, 2000 LG, Relation Between the Growth Twin and the Morphology of a Czochralski Silicon Single Crystal Bong Mo Park LG Siltron Inc., 283, Imsoo-dong,

More information

Radu Alexandru GHERGHESCU, Dorin POENARU and Walter GREINER

Radu Alexandru GHERGHESCU, Dorin POENARU and Walter GREINER È Ö Ò Ò Ù Ò Ò Ò ÖÝ ÒÙÐ Ö Ý Ø Ñ Radu Alexandru GHERGHESCU, Dorin POENARU and Walter GREINER Radu.Gherghescu@nipne.ro IFIN-HH, Bucharest-Magurele, Romania and Frankfurt Institute for Advanced Studies, J

More information

Lecture 11: Regression Methods I (Linear Regression)

Lecture 11: Regression Methods I (Linear Regression) Lecture 11: Regression Methods I (Linear Regression) 1 / 43 Outline 1 Regression: Supervised Learning with Continuous Responses 2 Linear Models and Multiple Linear Regression Ordinary Least Squares Statistical

More information

h : sh +i F J a n W i m +i F D eh, 1 ; 5 i A cl m i n i sh» si N «q a : 1? ek ser P t r \. e a & im a n alaa p ( M Scanned by CamScanner

h : sh +i F J a n W i m +i F D eh, 1 ; 5 i A cl m i n i sh» si N «q a : 1? ek ser P t r \. e a & im a n alaa p ( M Scanned by CamScanner m m i s t r * j i ega>x I Bi 5 n ì r s w «s m I L nk r n A F o n n l 5 o 5 i n l D eh 1 ; 5 i A cl m i n i sh» si N «q a : 1? { D v i H R o s c q \ l o o m ( t 9 8 6) im a n alaa p ( M n h k Em l A ma

More information

INRIA Sophia Antipolis France. TEITP p.1

INRIA Sophia Antipolis France. TEITP p.1 ÌÖÙ Ø ÜØ Ò ÓÒ Ò ÓÕ Ä ÙÖ ÒØ Ì ÖÝ INRIA Sophia Antipolis France TEITP p.1 ÅÓØ Ú Ø ÓÒ Ï Ý ØÖÙ Ø Ó ÑÔÓÖØ ÒØ Å ÒÐÝ ÈÖÓÚ Ò ÌÖÙØ Ø Ò ÑÔÐ Ã Ô ÈÖÓÚ Ò ÌÖÙ Ø È Ó ÖÖÝ Ò ÈÖÓÓ µ Ò Ö ØÝ ÓÑ Ò ËÔ ÔÔÐ Ø ÓÒ TEITP p.2 ÇÙØÐ

More information

Solutions and Ions. Pure Substances

Solutions and Ions. Pure Substances Class #4 Solutions and Ions CHEM 107 L.S. Brown Texas A&M University Pure Substances Pure substance: described completely by a single chemical formula Fixed composition 1 Mixtures Combination of 2 or more

More information

F(jω) = a(jω p 1 )(jω p 2 ) Û Ö p i = b± b 2 4ac. ω c = Y X (jω) = 1. 6R 2 C 2 (jω) 2 +7RCjω+1. 1 (6jωRC+1)(jωRC+1) RC, 1. RC = p 1, p

F(jω) = a(jω p 1 )(jω p 2 ) Û Ö p i = b± b 2 4ac. ω c = Y X (jω) = 1. 6R 2 C 2 (jω) 2 +7RCjω+1. 1 (6jωRC+1)(jωRC+1) RC, 1. RC = p 1, p ÓÖ Ò ÊÄ Ò Ò Û Ò Ò Ö Ý ½¾ Ù Ö ÓÖ ÖÓÑ Ö ÓÒ Ò ÄÈ ÐØ Ö ½¾ ½¾ ½» ½½ ÓÖ Ò ÊÄ Ò Ò Û Ò Ò Ö Ý ¾ Á b 2 < 4ac Û ÒÒÓØ ÓÖ Þ Û Ö Ð Ó ÒØ Ó Û Ð Ú ÕÙ Ö º ËÓÑ Ñ ÐÐ ÕÙ Ö Ö ÓÒ Ò º Ù Ö ÓÖ ½¾ ÓÖ Ù Ö ÕÙ Ö ÓÖ Ò ØÖ Ò Ö ÙÒØ ÓÒ

More information

A L A BA M A L A W R E V IE W

A L A BA M A L A W R E V IE W A L A BA M A L A W R E V IE W Volume 52 Fall 2000 Number 1 B E F O R E D I S A B I L I T Y C I V I L R I G HT S : C I V I L W A R P E N S I O N S A N D TH E P O L I T I C S O F D I S A B I L I T Y I N

More information

Price discount model for coordination of dual-channel supply chain under e-commerce

Price discount model for coordination of dual-channel supply chain under e-commerce ½ 27 ½ 3 2012 6 JOURNAL OF SYSTEMS ENGINEERING Vol.27 No.3 Jun. 2012 ô Î ÆÆ î º žâ, Ê ( ï Ä Ò, ï 400044) ý : ô íûđ Î, ë Ǒ à Stackelberg, ÅÍÅÆÆÎ î º. ÝÅ îææ ë,ǒ ÍÅÇ Î, ðë ëä.ǒ, ÇÅè ëë ÍÅ ÎÁ., Ä Ù Å Ç ÆÆ

More information

Fast Fourier Transform Solvers and Preconditioners for Quadratic Spline Collocation

Fast Fourier Transform Solvers and Preconditioners for Quadratic Spline Collocation Fast Fourier Transform Solvers and Preconditioners for Quadratic Spline Collocation Christina C. Christara and Kit Sun Ng Department of Computer Science University of Toronto Toronto, Ontario M5S 3G4,

More information

Lower Austria. The Big Travel Map. Big Travel Map of Lower Austria.

Lower Austria. The Big Travel Map. Big Travel Map of Lower Austria. v v v :,000, v v v v, v j, Z ö V v! ö +4/4/000 000 @ : / : v v V, V,,000 v v v v v v 08 V, v j?, v V v v v v v v,000, V v V, v V V vv /Z, v / v,, v v V, v x 6,000 v v 00,000 v, x v U v ( ) j v, x q J J

More information

The Effect of Deposition Parameter on Electrical Resistivity of TiAlN Thin Film

The Effect of Deposition Parameter on Electrical Resistivity of TiAlN Thin Film HWAHAK KONGHAK Vol. 40, No. 4, August, 00, pp. 59-533 TiAlN Electrical Resistivity * * (00 4 3, 00 7 31 ) The Effect of Deposition Parameter on Electrical Resistivity of TiAlN Thin Film Young Soo Song,

More information

SCOTT PLUMMER ASHTON ANTONETTI

SCOTT PLUMMER ASHTON ANTONETTI 2742 A E E E, UE, AAAMA 3802 231 EE AEA 38,000-cre dversfed federl cmus 41,000 emloyees wth 72+ dfferent gences UE roosed 80-cre mster-lnned develoment 20 home stes 3,000F of vllgestyle retl 100,000 E

More information

Lecture 11: Regression Methods I (Linear Regression)

Lecture 11: Regression Methods I (Linear Regression) Lecture 11: Regression Methods I (Linear Regression) Fall, 2017 1 / 40 Outline Linear Model Introduction 1 Regression: Supervised Learning with Continuous Responses 2 Linear Models and Multiple Linear

More information

APPH 4200 Physics of Fluids

APPH 4200 Physics of Fluids APPH 42 Physcs of Fuds Inerna Gravy Waves (Ch 7) 1!! Revew of Surface Gravy Waves 2! Lnear gravy waves whn a connuousy srafed fud (Buoyancy!) 1 Rppes 2 Wave Equaon 4 E ' ' : () f? + ) ; 'j ( ' N '( I v

More information

Queues, Stack Modules, and Abstract Data Types. CS2023 Winter 2004

Queues, Stack Modules, and Abstract Data Types. CS2023 Winter 2004 Queues Stack Modules and Abstact Data Types CS2023 Wnte 2004 Outcomes: Queues Stack Modules and Abstact Data Types C fo Java Pogammes Chapte 11 (11.5) and C Pogammng - a Moden Appoach Chapte 19 Afte the

More information

SVM example: cancer classification Support Vector Machines

SVM example: cancer classification Support Vector Machines SVM example: cancer classification Support Vector Machines 1. Cancer genomics: TCGA The cancer genome atlas (TCGA) will provide high-quality cancer data for large scale analysis by many groups: SVM example:

More information

Œ æ fl : } ~fiæ fl ŒÊ Æ Ã%æ fl È

Œ æ fl : } ~fiæ fl ŒÊ Æ Ã%æ fl È Roll No. Serial No. of Q. C. A. B. Jlflo Æ ÀÊ-V MSÊ : 54 ] [ Jlflo» flfl } Æ lv MSÊ : 24 Total No. of Questions : 54 ] [ Total No. of Printed Pages : 24 MOÊfi} MSÊ : 65-P Œ æ fl : } ~fiæ fl ŒÊ Æ Ã%æ fl

More information

Matrices and Determinants

Matrices and Determinants Matrices and Determinants Teaching-Learning Points A matri is an ordered rectanguar arra (arrangement) of numbers and encosed b capita bracket [ ]. These numbers are caed eements of the matri. Matri is

More information

Periodic monopoles and difference modules

Periodic monopoles and difference modules Periodic monopoles and difference modules Takuro Mochizuki RIMS, Kyoto University 2018 February Introduction In complex geometry it is interesting to obtain a correspondence between objects in differential

More information

Pharmacological and genomic profiling identifies NF-κB targeted treatment strategies for mantle cell lymphoma

Pharmacological and genomic profiling identifies NF-κB targeted treatment strategies for mantle cell lymphoma CORRECTION NOTICE Nat. Med. 0, 87 9 (014) Pharmacoogica and genomic profiing identifies NF-κB targeted treatment strategies for mante ce ymphoma Rami Raha, Mareie Fric, Rodrigo Romero, Joshua M Korn, Robert

More information

Emphases of Calculus Infinite Sequences and Series Page 1. , then {a n } converges. lim a n = L. form í8 v «à L Hôpital Rule JjZ lim

Emphases of Calculus Infinite Sequences and Series Page 1. , then {a n } converges. lim a n = L. form í8 v «à L Hôpital Rule JjZ lim Emhases o Calculus Ininite Sequences an Series Page 1 Sequences (b) lim = L eists rovie that or any given ε > 0, there eists N N such that L < ε or all n > N ¹, YgM L íï böüÿªjöü, Éb n D bygíí I an { }

More information

Margin Maximizing Loss Functions

Margin Maximizing Loss Functions Margin Maximizing Loss Functions Saharon Rosset, Ji Zhu and Trevor Hastie Department of Statistics Stanford University Stanford, CA, 94305 saharon, jzhu, hastie@stat.stanford.edu Abstract Margin maximizing

More information

New BaBar Results on Rare Leptonic B Decays

New BaBar Results on Rare Leptonic B Decays New BaBar Results on Rare Leptonic B Decays Valerie Halyo Stanford Linear Accelerator Center (SLAC) FPCP 22 valerieh@slac.stanford.edu 1 Table of Contents Motivation to look for and Analysis Strategy Measurement

More information

CHEM 10113, Quiz 5 October 26, 2011

CHEM 10113, Quiz 5 October 26, 2011 CHEM 10113, Quiz 5 October 26, 2011 Name (please print) All equations must be balanced and show phases for full credit. Significant figures count, show charges as appropriate, and please box your answers!

More information

Air Age Equation Parameterized by Ventilation Grouped Time WU Wen-zhong

Air Age Equation Parameterized by Ventilation Grouped Time WU Wen-zhong Appled Mechancs and Materals Submtted: 2014-05-07 ISSN: 1662-7482, Vols. 587-589, pp 449-452 Accepted: 2014-05-10 do:10.4028/www.scentfc.net/amm.587-589.449 Onlne: 2014-07-04 2014 Trans Tech Publcatons,

More information

Implicit in the definition of orthogonal arrays is a projection propertyþ

Implicit in the definition of orthogonal arrays is a projection propertyþ Projection properties Implicit in the definition of orthogonal arrays is a projection propertyþ factor screening effect ( factor) sparsity A design is said to be of projectivity : if in every subset of

More information

Randomized Simultaneous Messages: Solution of a Problem of Yao in Communication Complexity

Randomized Simultaneous Messages: Solution of a Problem of Yao in Communication Complexity Randomized Simultaneous Messages: Solution of a Problem of Yao in Communication Complexity László Babai Peter G. Kimmel Department of Computer Science The University of Chicago 1100 East 58th Street Chicago,

More information

M11/4/CHEMI/SPM/ENG/TZ2/XX CHEMISTRY STANDARD LEVEL PAPER 1. Monday 9 May 2011 (afternoon) 45 minutes INSTRUCTIONS TO CANDIDATES

M11/4/CHEMI/SPM/ENG/TZ2/XX CHEMISTRY STANDARD LEVEL PAPER 1. Monday 9 May 2011 (afternoon) 45 minutes INSTRUCTIONS TO CANDIDATES M11/4/CHEMI/SPM/ENG/TZ/XX 116116 CHEMISTRY STANDARD LEVEL PAPER 1 Monday 9 May 011 (afternoon) 45 minutes INSTRUCTIONS TO CANDIDATES Do not open this examination paper until instructed to do so. Answer

More information

2013 SIMULIA Regional User Meeting

2013 SIMULIA Regional User Meeting press fit EON PCB Ò,, jg² ŸÄy ï o uþi Á eîî³ ì e γ n Ôhê x PCB w mø THT(Through Hole Technology* Æï SMT(Surface Mount Technology* Press Fit } Ê ³ Ç } Ù ROHS Ì û ke n³ û m «Ä í } EON ³ ê ³ ì ì Š EON Ù

More information

P a g e 3 6 of R e p o r t P B 4 / 0 9

P a g e 3 6 of R e p o r t P B 4 / 0 9 P a g e 3 6 of R e p o r t P B 4 / 0 9 p r o t e c t h um a n h e a l t h a n d p r o p e r t y fr om t h e d a n g e rs i n h e r e n t i n m i n i n g o p e r a t i o n s s u c h a s a q u a r r y. J

More information