Surface Modification of Nano-Hydroxyapatite with Silane Agent

Size: px
Start display at page:

Download "Surface Modification of Nano-Hydroxyapatite with Silane Agent"

Transcription

1 ß 23 ß 1 «Ã Vol. 23, No Ç 1 Journal of Inorganic Materials Jan., 2008» : X(2008) Þ¹ Ò À Đ³ Ù Å Ð (ÎÄÅ Ç ÂÍ ËÊÌÏÁÉ È ÃÆ ) Ì É (KH-560) ¼ ³ (n-ha) ³ ËØ ÌË n-ha KH-560 Õ Ì»Þ ÒßÈ (FT-IR) Ô X È Çà (XPS) ³ É ³³ Ï Ì (Si OH) ÌÐ (HPO 2 4 ) Ù» ÝÁ Õ Si O P Üà Ïß Ì HA ³ OH ÖÝÁ ÜÃ É ËØÕ HA Ì (PC) Õ Õ Ã ÆÅËØÕ¹ ³ dz È (SEM) ³½ ÅËØÕÕ HA Ð PC Æ ± ³ ««Å Õ Ì Ã Õ ÖÊ Ü ¼ ³ Ì É Ì ³ Õ R318» A Surface Modification of Nano-Hydroxyapatite with Silane Agent LIAO Jian-Guo, WANG Xue-Jiang, ZUO Yi, ZHANG Li, WEN Ji-Qiu, LI Yu-Bao (Research Center for Nano-Biomaterials, Analytical & Testing Center, Sichuan University, Chengdu , China) Abstract: Nano-hydroxyapatite (n-ha) was modified by using silane coupling reagent (KH-560), and the interfacial interactions between n-ha and KH-560 was also studied. Fourier transform infrared spectra (FT-IR) and X-ray photoelectron spectra (XPS) analyses show that the silane coupling molecular binds strongly to n-ha surface. Chemical bonding (Si O P) is formed by the reaction between Si OH and HPO 2 4 group, and a similar interface effect exists between Si OH and the hydroxyl group of HA. Surface modification of HA particles can improve the mechanical strength of the n-ha/polycarbonate (n-ha/pc) composites dramatically. SEM observation shows that modified HA particles uniformly distribute in the PC matrix. The results indicate that the interfacial interaction between surface-modified inorganic particles and polymer matrix is crucial for the improvement of the mechanical strength of the composites. Key words: nano-hydroxyapatite; silane-agent; polycarbonate; composites; surface modification 1 Þ Ý Ê ½ (Ä É) Ý Ö - ½ º Ð Ó Ê Á ½ Đ (n-ha). Þ Ð Đ (HA, Ca 10 (PO 4 ) 6 (OH) 2 ) Í «Ö º ÄÃÅÄ ÖÞÅ Ð HA Í Á ÐÍ Å ½ Ä Ù Ö º [1]. n-ha/ Ð º Ð Ê ÎÍ ÜÐ [2 5]. ÎÍ º HA HA Ö Ð ÖÈ Ý ¹ ÄÐ Å ÄÙ Ö ºÆ HA Å Ð ¼ Ö»Ò ² º Æ HA Ð ÁÕ Æ ÎÍ Ñ Å ºÐ º º¼ Ö ÐÄ µû² µ ÚÛ² µ Ä º Ú» (2004CB720604) ¹ (1975 ), À ¹ ÍÌ ½± Û« nic7504@scu.edu.cn

2 146 «Ã 23 ºÐ Å ÄÖÁ ØÉ «Ö Ð ºÐ «Ö Å Ä [6 8]. Ð (  Â) ÚÖÊ Ð HA ¼ Õ ºÐ ƺ Ö Ð ÆDupraz Ù [9] лÒÖÎ Ê HA Å Ð ºÐ ÎÍ º µ HA ÖÎ Ê ØÖ Åʽ ³ÍÐÆ Í º KH-560 ÖÖ n-ha Å A Í ºÐ HA Å Í ºÐ ÖÖ Å Ä ÎÍÆ 2 ÔÓ PC110, Đ ¹ Á Å KH-560(γ-(2, 3- ) Î ), Â É Þ n- HA ¼ [10] É (À φ(15 20)nm h(80 120)nm). º KH-560 ± ph ÖÒÍ º n-ha ¼ 80 C ± 1h, ÉÕ 80 C µð 12h, Î ÖÐ Â º Ý Î 200 ±Å Æ ºÊ ÌÚÖÖ HA ÝÅ PC Ð 100 C µðñ 8h, ÝÖÐ È (TSSJ- 25 Ò ½ Ê È Þ ½ É Þ Î Í ) È Ã Â (K-TEC40, Ò Ferromatic Milacron) Â Æ 3 Ð Nicolet 170SX ¼ ß Ó É Ð (FT- IR, Spectrum One, ¹ ) ÍÊ Ð KRATOS, XSAM800 XPS Ð (Ú ) ÍÖÆÉÄ Ð JSM-5900L Đ È É ( Jeol) Í Ç Æ Ð Ä (AUFOGRAPH, Shimadzu) ºÐ Å Ä Õ GB/T È GB/T Ò GB/T Æ 4 ß 4.1 IRÖ¼ Õ 1 Õ È Ê ÌÚÖ n-ha cm 1 ÌÖ OH ² Å cm 1 Ì Ö PO 3 4 ² Þ 960cm 1 ÌÖ² ² cm 1 ÌÖ²ÒÞÆÌÚÖÖ n-ha cm 1 Õ cm 1 ÌÈ ² KH-560 Ö ²Æ ÌÚÖ n-ha Ö HPO 2 4 (872cm 1 ) ²¾ ± Ä KH-560 Â Ö Si(OH) 3 Å HPO 2 4 ¼ º ØÍÐ Si O P Þ Å ²¾±Æ 4.2 XPS Ö¼ ÆÌÚÖ ÈÖ ÐÄ Þ Ü ÖÌÚ ÆÕ 2 ¾ KH-560 ÌÚ n-ha Ca O P C ÆÉ C ²Á ÖÉ n-ha Ö CO 2 3 Ú Æ Ê Ö n-ha Ö Ca O P ²Öº ± C ²Ú Ò È ÅÖ Si ² KH-560 Î Ê Ñ Æ À ¹ n-ha Æ Ø n-ha ¹ Î Ê Ö Ca O P È ³ º ² ¼± Î Æ È Ù C ² Æ Si ²ÖÈ n-ha Î ÚÆ n-ha Ö ÆÉ Á È» Æ ÆÐ Æ Õ 3(a) n-ha Ö»ÒÖ Þ ÅÄ eV Ì PO 3 4 Ö ÆÉ ÐÄ eV Ì Ü OH Ö ÆÉ [11], eV ÌÖ O Ü CO 2 3 Ö C=O. ÐÄ ² (533.20eV) ÅÛ ÐIJ (531.42, eV) Ö ¼ 1.0:10.9, n-ha Ö Å Í ÖÚ (1:12) ÛÆ ÐÕ 1, ÕÛ Á n-ha À Ö CO 2 3 HPO 2 4 Ù ÖÆÕ 3(b) Ê Ö n-ha O ÆÉÖÆÐ Õ È O ÆÉÖ ÐÄ Þ Õ eV ÖÁ² Ü PO 3 4 CO 2 3 Ö O ÆÉ ÅÕ 3(a) Ö O Æɲº ÞÅ Æ eV Ì O Û Ð ÄÖÈ Ö n-ha O Æ É ÅĐÈ Đ¾ Û C P ÖÆ É ÈÚÔ O C O P Ö C P(Si O Si ²). ÐÄ eV ÌÖ² Ü OH Ö O, ÅÕ 3(a) º ÞÅ Æ eV Ö ² ÖÞÅ Si O P Ö ² (Ï Ý P H ÖĐ¾ ºÒ P ĐÈ P O È Si O H Ö Õ ÄÈ ÖÛÄ ²), O Æ ÉÖÆ Ð Ä (533.03; eV) ² ÅÆÛ ÐÄ (530.57; eV) ² Ö 1.0:2.3, 1.0:10.9,

3 1 Ï Ì É ¼ ³³ ÕÌË 147 Ä n-ha Ö ÚÅÊ È ºØÍÐ ¹ÆÐ²Ö ³ ²Ö ÞÆ Õ 4 ¾Æ KH-560 ÌÚ Ö n-ha Ö P(2p) XPS Ä ÕÆ Õ 4(a) Õ Ð n-ha Ö P Æ ÉÕ PO 3 4» ÐÄ eV; Õ 4(b) P(2p) Ä Æ ² µ eV, Æ ² Ö 1.07eV. Ô 1 n-ha É ÕÕÒßÈ Ô Fig. 1 FTIR spectra of HA before and after modification (A) HA before modification; (B) HA modified with KH- 560 and (C) KH-560 Ô 2 n-ha ³ Å KH-560 ËØÕÕÖ XPS Ã Ô Fig. 2 XPS spectra of n-ha before and after modification (A) Before modification; (B) Modified with KH-560 Ô 3 n-ha ³ Õ O(1s) Å XPS Ã Ô Fig. 3 XPS O(1s) element fitting spectra of n-ha before and after modification (a) Before surface modification; (b) After surface modification Ô 4 n-ha ³ Å KH-560 ËØÕ P(2p) Ï Å XPS Ã Ô Fig. 4 XPS P(2p) element fitting spectra of n-ha before and after modification (a) Before surface modification; (b) After surface modification

4 148 «Ã 23 ÆµÚ P(2p)  (132.79eV) ± ² Ô P È Æµ ÔÐƾ  н Ú H È ÆØÓ P O H Ô H. Ó 3(b) ÆµÔ O Ô ± ÓЫKH-560 À ÔÔ Si OH n-ha ² Si O P, Đ Si Ôн Ú H È Si Ó H Ô P ÐÆ ¾ ³Î P(2p) ÐÆ Â¾Ú Ô È ±ÆµÔ «Ó 5 «Si(2p) XPS Â Ó Ó Æ Ä KH- 560 Ê ÔÔ n-ha Ä À Ü Si(2p)XPS Â Æ ±«KH-560 Ô Â Si È ÛÂà C Si O C, KH-560 À C Si O H C Si O Si. C Si O H n-ha ² Û Â µ C Si O P, Î Ó 5 Si(2p) Æ ±Ô «Pouling Ð ½ [12], C(2.5)>H(2.1) =P(2.1)>Si(1.8), Si ºÑÛÂßÇ Þ ÐÆ ¾ «C Si O C< C Si O H< C Si O P < C Si O Si. Ó KH-560 n-ha Û ÂËß µ Si(2p) ÐÆ Â Û Ú ¼ Ó 5 ¼«ÎÞ ÎÜ P H Ôн Ñ P ÞÐÆ Ó C Si O P µ Si ÔÞ ÐÆ ¾ C Si O H µ Si Þ ÐÆ ¾ ÓÈ Ô C Si O P µ «4.3 È KH-560 Ë À À Û Ó ÔÀ Ó n-ha ² Ô Ø Û n-ha ² Ô Å Ë ÔÞ ÀÔ Å Ø«Đ n-ha» Ô ² Æ ² À Á µ Î ² Ô ³ È Û«n-HA È Ô º  2 [11,13 15], Þ n-ha OH HPO 2 4 PO 3 4 Ø Ë Ô ¾ ÔÛµ ( Ó 6(a) ¼); Â Ë È À Ô n-ha ² Ô OH HPO 2 4 µ (Ó 6(b)). Û ÂÓÞ º«À«Ô 5 n-ha ³ Å Õ Si(2p) Ï Å XPS Ã Ô Fig. 5 XPS Si(2p) element fitting spectra of n-ha after modification Ô 6 n-ha KH-560» Õ Ì Fig. 6 Interfacial mechanism between n-ha and KH-560 (a) Chemical bond; (b) Hydrogen bond 4.4 Æ HA/PC ¾ ÔĐ  ² 1. Ó Æ Ô¾ ÔÔ ¾ Ç ÐÑ Ä KH-560 È ÔÔ ¾ ² ² È Â Ó HA Ï º Ô Đ Â Â«¾ Ô Đ ĐÚ Ï «Ï º ÓÛµ ¾ HA Ô² ÎÄ Ê È Ô Å Æ Ó Ç Æ ÔÛµ Æ Ó 1 HA/PCØ Ð Table 1 Mechanical properties of HA/PC composites Tensile Bending Compressive Sample PC/HA strength strength strength /MPa /MPa /MPa PC PC/HA 90/ PC/HA-KH /

5 1 Ï Ì É ¼ ³³ ÕÌË 149 ĐÚ Ï Ô Đ Ô ¾«HA ÔÆ Ï Ô» Ó HA PC Ô Ûµ Å ÐÑ Ç «4.5 Ð Ñ SEM Ý Ó 7 ¾ ÐÑ«ÔÔ«SEM Ë«Ó Æ ² Ô HA PC ¼º Ð ² Ø Ï «À À «««µ в ÔÑ Ã Ä² Ê Ô Ð² Ï º «² Ê ÔÔ n-ha PC ¼ Ï «À À ß «² Ä KH-560 Ê ÔÔ Ð² Ï «Ô 7 n-ha/pc(10/90) Õ SEM Ì Fig. 7 Fracture surfaces of the n-ha / PC(10/90) composites (a) Before modification; (b) After modification 5 Æ n-ha KH-560 ËßÔ µ KH-560 Ô À  n-ha ² Û ÂËß ÔÛµ È ÔÀ ¾ n-ha ² ² Ø Ï«² ÔÔ n-ha PC HA/PC ¾ ÔĐ  ² n-ha ² ÔÈ HA/ Ï ¾ ÂÔ Å««º¾ [1] Hulbert S F, Bokros J C, Hench L L, et al. Ceramics in clinical applications. past, present and future, in High Tech Ceramics, ed. by P. Vincenzini, Italy: Milan Press, [2] Verheyen CCPM, de Wijn J R, van Blitterswijk C A, et al. J. Biomed. Mater. Res., 1993, 27 (4): [3] Ylinen P. J. Mater. Sci.: Mater. in Med., 1994, 5 (9): [4] ËÞ Û«Ü Ø ¹ Ä 2004, 21 (2): [5] Ü Û«Ø (ZHANG Li, et al). Ä (Journal of Inorganic Materials), 2006, 21 (5): [6] Liu Q, de Wijn J R, Bakker D, et al. J. Mater. Sci.: Mater. in Med., 1996, 7 (9): [7] Deb S, Wang M, Tanner K E, et al. J. Mater. Sci.: Mater. in Med., 1996, 7 (3): [8] Î ± ± Ø ¹ Ä 2001, 18 (2): [9] Dupraz A M P, Meer S A T V d, de Wijn J R, et al. J. Mater. Sci.: Mater. in Med., 1996, 7 (12): [10] Ľ ¹ Û«Ø ÐÆ 2000, 10 (11): [11] Wang X J, Li Y B, Wei J, et al. Biomaterials, 2002, 23 (24): [12] Ù Ä ÝÄ Í ÝÄ «Á Ø Ç [13] Ù ² Ø Í 2004, 18 (3): [14] Î ÊÀ Ä Ã 2006, 26 (1): [15] Ï Ø (YAO Cao, et al). Ä (Journal of Inorganic Materials), 2006, 21 (2):

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

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

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

! " # $! % & '! , ) ( + - (. ) ( ) * + / 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

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

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

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

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

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

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

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

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

Singing voice enhancement for monaural music recordings with a cascade two-stage algorithm

Singing voice enhancement for monaural music recordings with a cascade two-stage algorithm 2018 Ñ 9 Ð Ô 32 Ô 3 Ý Sept. 2018 Communication on Applied Mathematics and Computation Vol.32 No.3 DOI 10.3969/j.issn.1006-6330.2018.03.007 ÂßÑÀ¹ÏÇ ²Å ( 200444) É Ë³Ó²±ĐÀΠе±Ü»Ð À Đ Ñ Ö ÓÛ ¼Ú Í Ð ß ÐÁ

More information

In Vivo Study of Porous Calcium Silicate Bioceramic in Extra-osseous Sites

In Vivo Study of Porous Calcium Silicate Bioceramic in Extra-osseous Sites 23 À 3 Ó Ö Vol. 23, No. 3 2008 5 Journal of Inorganic Materials May, 2008 ÍÒ : 1000-324X(2008)03-0611-06 ¼ Ä ÎÅ Ç Õ º 1, ± 1, 2, ² 1, 1, 2, 1, 3 (1. Ý ÜÆ ß «Û 710032; 2. Ð Æ Å «200050; 3. ÞĐÜÆ Æ «201620)

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

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

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

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

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

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

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

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

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

A Double-objective Rank Level Classifier Fusion Method

A Double-objective Rank Level Classifier Fusion Method ½ 33 ½ 2 Þ Vol. 33, No. 2 2007 2 ACTA AUTOMATICA SINICA December, 2007 è Î Á Ë Ãàß Ñ ý Melnik  Åè Ë Ã, ÃÄ É Æ, Õ Ë Â è²². ð Melnik  Ãàß, á Ç ÇĐ, Ç î µá»â Ã. Melnik Ù,  Åè Ãàß, Ìàß Ë ÆÆ, ÍÅ» Ý Melnik

More information

Sample Exam 1: Chapters 1, 2, and 3

Sample Exam 1: Chapters 1, 2, and 3 L L 1 ' ] ^, % ' ) 3 Sample Exam 1: Chapters 1, 2, and 3 #1) Consider the lineartime invariant system represented by Find the system response and its zerostate and zeroinput components What are the response

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

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

2016 xó ADVANCES IN MATHEMATICS(CHINA) xxx., 2016

2016 xó ADVANCES IN MATHEMATICS(CHINA) xxx., 2016 µ45 µx ½ Ù Vol.45, No.x 206 xó ADVANCES IN MATHEMATICS(CHINA) xxx., 206 doi: 0.845/sxjz.2050b ²Â» µ ¼ Ulam È ( Ų¼ Ò¼ Ã,,, 747000) : ÉÐ Ì Õ ÎÏÓ, ÊÔ Í - Í Ë 6f(x+y) 6f(x y)+4f(3y) = 3f(x+2y) 3f(x 2y)+9f(2y)

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

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

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

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

Stochastic invariances and Lamperti transformations for Stochastic Processes

Stochastic invariances and Lamperti transformations for Stochastic Processes Stochastic invariances and Lamperti transformations for Stochastic Processes Pierre Borgnat, Pierre-Olivier Amblard, Patrick Flandrin To cite this version: Pierre Borgnat, Pierre-Olivier Amblard, Patrick

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

NPTEL COURSE ON MATHEMATICS IN INDIA: FROM VEDIC PERIOD TO MODERN TIMES

NPTEL COURSE ON MATHEMATICS IN INDIA: FROM VEDIC PERIOD TO MODERN TIMES NPTEL COURSE ON MATHEMATICS IN INDIA: FROM VEDIC PERIOD TO MODERN TIMES Lecture 17 Mahāvīra s Gaṇitasārasaṅgraha 3 M. S. Sriram University of Madras, Chennai. Outline Plane figures: Circle, Dīrghavṛtta,

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

â çüì ÂÚUèÿææ - I, SUMMATIVE ASSESSMENT I,

â çüì ÂÚUèÿææ - I, SUMMATIVE ASSESSMENT I, â çüì ÂÚUèÿææ - I, 015-16 SUMMATIVE ASSESSMENT I, 015-16»ç æì / MATHEMATICS ÿææ - IX / Class IX çùïæüçúuì â Ø : hours çï Ì Ñ 90 Time Allowed : hours Maimum Marks: 90 âæ æ Ø çùîðüàæ Ñ 1. âöè ÂýàÙ çùßæøü

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

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

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

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

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

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

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

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

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

Surface Chemical Modification of Nanosized Oxide Particles with a Titanate Coupling Reagent in Isopropanol

Surface Chemical Modification of Nanosized Oxide Particles with a Titanate Coupling Reagent in Isopropanol Ind. Eng. Chem. Res. 2008, 47, 1513-1517 1513 Surface Chemical Modification of Nanosized Oxide Particles with a Titanate Coupling Reagent in Isopropanol Xiao-Yong Fang, Ting-Jie Wang,* Hai-Xia Wu, and

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

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

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

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

Vectors. Teaching Learning Point. Ç, where OP. l m n

Vectors. Teaching Learning Point. Ç, where OP. l m n Vectors 9 Teaching Learning Point l A quantity that has magnitude as well as direction is called is called a vector. l A directed line segment represents a vector and is denoted y AB Å or a Æ. l Position

More information

Damping Ring Requirements for 3 TeV CLIC

Damping Ring Requirements for 3 TeV CLIC Damping Ring Requirements for 3 TeV CLIC Quantity Symbol Value Bunch population N b 9 4.1 10 No. of bunches/train k bt 154 Repetition frequency f r 100 Hz Horizontal emittance γε x 7 4.5 10 m Vertical

More information

Self-Testing Polynomial Functions Efficiently and over Rational Domains

Self-Testing Polynomial Functions Efficiently and over Rational Domains Chapter 1 Self-Testing Polynomial Functions Efficiently and over Rational Domains Ronitt Rubinfeld Madhu Sudan Ý Abstract In this paper we give the first self-testers and checkers for polynomials over

More information

Mutually orthogonal latin squares (MOLS) and Orthogonal arrays (OA)

Mutually orthogonal latin squares (MOLS) and Orthogonal arrays (OA) and Orthogonal arrays (OA) Bimal Roy Indian Statistical Institute, Kolkata. Bimal Roy, Indian Statistical Institute, Kolkata. and Orthogonal arrays (O Outline of the talk 1 Latin squares 2 3 Bimal Roy,

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

Final exam: Automatic Control II (Reglerteknik II, 1TT495)

Final exam: Automatic Control II (Reglerteknik II, 1TT495) Uppsala University Department of Information Technology Systems and Control Professor Torsten Söderström Final exam: Automatic Control II (Reglerteknik II, TT495) Date: October 22, 2 Responsible examiner:

More information

Lund Institute of Technology Centre for Mathematical Sciences Mathematical Statistics

Lund Institute of Technology Centre for Mathematical Sciences Mathematical Statistics Lund Institute of Technology Centre for Mathematical Sciences Mathematical Statistics STATISTICAL METHODS FOR SAFETY ANALYSIS FMS065 ÓÑÔÙØ Ö Ü Ö Ì ÓÓØ ØÖ Ô Ð ÓÖ Ø Ñ Ò Ý Ò Ò ÐÝ In this exercise we will

More information

NPTEL COURSE ON MATHEMATICS IN INDIA: FROM VEDIC PERIOD TO MODERN TIMES

NPTEL COURSE ON MATHEMATICS IN INDIA: FROM VEDIC PERIOD TO MODERN TIMES NPTEL COURSE ON MATHEMATICS IN INDIA: FROM VEDIC PERIOD TO MODERN TIMES Lecture 25 Gaṇitakaumudī of Nārāyaṇa Paṇḍita 1 M. S. Sriram University of Madras, Chennai. Outline Importance of Gaṇitakaumudī Solutions

More information

Juan Juan Salon. EH National Bank. Sandwich Shop Nail Design. OSKA Beverly. Chase Bank. Marina Rinaldi. Orogold. Mariposa.

Juan Juan Salon. EH National Bank. Sandwich Shop Nail Design. OSKA Beverly. Chase Bank. Marina Rinaldi. Orogold. Mariposa. ( ) X é X é Q Ó / 8 ( ) Q / ( ) ( ) : ( ) : 44-3-8999 433 4 z 78-19 941, #115 Z 385-194 77-51 76-51 74-7777, 75-5 47-55 74-8141 74-5115 78-3344 73-3 14 81-4 86-784 78-33 551-888 j 48-4 61-35 z/ zz / 138

More information

Automatic Control III (Reglerteknik III) fall Nonlinear systems, Part 3

Automatic Control III (Reglerteknik III) fall Nonlinear systems, Part 3 Automatic Control III (Reglerteknik III) fall 20 4. Nonlinear systems, Part 3 (Chapter 4) Hans Norlander Systems and Control Department of Information Technology Uppsala University OSCILLATIONS AND DESCRIBING

More information

Front-end. Organization of a Modern Compiler. Middle1. Middle2. Back-end. converted to control flow) Representation

Front-end. Organization of a Modern Compiler. Middle1. Middle2. Back-end. converted to control flow) Representation register allocation instruction selection Code Low-level intermediate Representation Back-end Assembly array references converted into low level operations, loops converted to control flow Middle2 Low-level

More information

A Study on the Analysis of Measurement Errors of Specific Gravity Meter

A Study on the Analysis of Measurement Errors of Specific Gravity Meter HWAHAK KONGHAK Vol. 40, No. 6, December, 2002, pp. 676-680 (2001 7 2, 2002 8 5 ) A Study on the Analysis of Measurement Errors of Specific Gravity Meter Kang-Jin Lee, Jae-Young Her, Young-Cheol Ha, Seung-Hee

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

ALTER TABLE Employee ADD ( Mname VARCHAR2(20), Birthday DATE );

ALTER TABLE Employee ADD ( Mname VARCHAR2(20), Birthday DATE ); !! "# $ % & '( ) # * +, - # $ "# $ % & '( ) # *.! / 0 "# "1 "& # 2 3 & 4 4 "# $ % & '( ) # *!! "# $ % & # * 1 3 - "# 1 * #! ) & 3 / 5 6 7 8 9 ALTER ; ? @ A B C D E F G H I A = @ A J > K L ; ?

More information

The New Technique and Application of Pile-cap Treatment on DH-PHC pile

The New Technique and Application of Pile-cap Treatment on DH-PHC pile DH-PHC ½ { 1 1 2 3 4 1 ( ) 2 ( ) 3 ()!"#$%$ 4 ()!&' o DH-PHC j DH-PHC DH-PHC The New Technique and Application of Pile-cap Treatment on DH-PHC pile CHANG Chia Chyi 1, LIU Wen Tsung 1, HUANG Han Tsung 2,

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

Agent-based Proof Search with Indexed Formulas

Agent-based Proof Search with Indexed Formulas 5 I7. - $ '! " gent-based Proof earch with Indexed ormulas Malte Hübner, erge utexier, and Christoph Benzmüller with thans to Voler orge aarland University, aarbrücen, Germany Calculemus 2002, Marseille,

More information

FILL THE ANSWER HERE

FILL THE ANSWER HERE Home Assignment # STRAIGHT OBJCTIV TYP J-Mathematics. Assume that () = and that for all integers m and n, (m + n) = (m) + (n) + (mn ), then (9) = 9 98 9 998. () = {} + { + } + { + }...{ + 99}, then [ (

More information

Finding small factors of integers. Speed of the number-field sieve. D. J. Bernstein University of Illinois at Chicago

Finding small factors of integers. Speed of the number-field sieve. D. J. Bernstein University of Illinois at Chicago The number-field sieve Finding small factors of integers Speed of the number-field sieve D. J. Bernstein University of Illinois at Chicago Prelude: finding denominators 87366 22322444 in R. Easily compute

More information

Loop parallelization using compiler analysis

Loop parallelization using compiler analysis Loop parallelization using compiler analysis Which of these loops is parallel? How can we determine this automatically using compiler analysis? Organization of a Modern Compiler Source Program Front-end

More information

10. SECTION - B Question numbers 11 to 18 carry 2 marks each C1 P.T.O.

10. SECTION - B Question numbers 11 to 18 carry 2 marks each C1 P.T.O. 04006 - C Class - X MATHEMATICS Time : to ½ hours Maximum Marks : 80 â Ø : âð ½ ƒæ ÅUð çï Ì : 80 General Instructions :. All questions are compulsory. Total No. of Pages : é Ü ÂëcÆUæð è â Øæ : 2. The question

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

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

&i à ƒåi à A t l v π [É A :

&i à ƒåi à A t l v π [É A : No. of Printed Pages 7 (671) [ 18 HDGPKAC DL1Y(N) ] Diploma in Elementary Education First Year (New) Exam., 2018 ( D. El. Ed. ) Course Code 02 : Education, Society and Curriculum Full Marks : 80 Time :

More information

Plasma diagnostics and abundance determinations for planetary nebulae current status. Xiaowei Liu Department of Astronomy, Peking University

Plasma diagnostics and abundance determinations for planetary nebulae current status. Xiaowei Liu Department of Astronomy, Peking University 3 ' 4 2 - '. %! A?@ @ 3 +.?; = ; %,9 ' ü / :, %4 ' 9 8 +! (76 5 +. *". 34 %, /, /10 *$+,,' -+!. *$+ () ', ' & "$# Plasma diagnostics and abundance determinations for planetary nebulae current status

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

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

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

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

ALLEN. Pre Nurture & Career Foundation Division For Class 6th to 10th, NTSE & Olympiads. å 7 3 REGIONAL MATHEMATICAL OLYMPIAD-2017 SOLUTION

ALLEN. Pre Nurture & Career Foundation Division For Class 6th to 10th, NTSE & Olympiads. å 7 3 REGIONAL MATHEMATICAL OLYMPIAD-2017 SOLUTION For Class 6th to 0th, NTSE & Olympiads REGIONAL MATHEMATICAL OLYMPIAD-07. Let AOB be a given angle less than 80 and let P be an interior point of the angular region determined by ÐAOB. Show, with proof,

More information

Effect of isotope substitution on the stereodynamics for O+H(D)Br OH(D)+Br reactions. 1 Introduction

Effect of isotope substitution on the stereodynamics for O+H(D)Br OH(D)+Br reactions. 1 Introduction J. At. Mol. Sci. doi: 10.4208/jams.052411.070811a Vol. 3, No. 2, pp. 114-121 May 2012 Effect of isotope substitution on the stereodynamics for O+H(D)Br OH(D)+Br reactions Hong Li, Bin Zheng, Ji-Qing Yin,

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

Arbeitstagung: Gruppen und Topologische Gruppen Vienna July 6 July 7, Abstracts

Arbeitstagung: Gruppen und Topologische Gruppen Vienna July 6 July 7, Abstracts Arbeitstagung: Gruppen und Topologische Gruppen Vienna July 6 July 7, 202 Abstracts ÁÒÚ Ö Ð Ñ Ø Ó Ø¹Ú ÐÙ ÙÒØ ÓÒ ÁÞØÓ Ò ÞØÓ º Ò ÙÒ ¹Ñ º ÙÐØÝ Ó Æ ØÙÖ Ð Ë Ò Ò Å Ø Ñ Ø ÍÒ Ú Ö ØÝ Ó Å Ö ÓÖ ÃÓÖÓ ½ ¼ Å Ö ÓÖ ¾¼¼¼

More information

Complex Analysis. PH 503 Course TM. Charudatt Kadolkar Indian Institute of Technology, Guwahati

Complex Analysis. PH 503 Course TM. Charudatt Kadolkar Indian Institute of Technology, Guwahati Complex Analysis PH 503 Course TM Charudatt Kadolkar Indian Institute of Technology, Guwahati ii Copyright 2000 by Charudatt Kadolkar Preface Preface Head These notes were prepared during the lectures

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

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

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

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

± 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 :

± 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 : Û 31 Û 6 ÀÀ² Vol.31 No.6 011 1 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 510300;. ¾Á ± Ë ¾ 100083) : Å SEM/EDX«Å Ö 7A0 Ò ² à SO

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

Frequency domain representation and singular value decomposition

Frequency domain representation and singular value decomposition EOLSS Contribution 643134 Frequency domain representation and singular value decomposition AC Antoulas Department of Electrical and Computer Engineering Rice University Houston, Texas 77251-1892, USA e-mail:

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

B œ c " " ã B œ c 8 8. such that substituting these values for the B 3 's will make all the equations true

B œ c   ã B œ c 8 8. such that substituting these values for the B 3 's will make all the equations true System of Linear Equations variables Ð unknowns Ñ B" ß B# ß ÞÞÞ ß B8 Æ Æ Æ + B + B ÞÞÞ + B œ, "" " "# # "8 8 " + B + B ÞÞÞ + B œ, #" " ## # #8 8 # ã + B + B ÞÞÞ + B œ, 3" " 3# # 38 8 3 ã + 7" B" + 7# B#

More information

Introduction of New Seismic Ground Motion Parameter Zonation Map of China and Case Study Analysis in Lanzhou Region

Introduction of New Seismic Ground Motion Parameter Zonation Map of China and Case Study Analysis in Lanzhou Region Introduction of New Seismic Ground Motion Parameter Zonation Map of China and Case Study Analysis in Lanzhou Region Xiaojun LI Institute of Geophysics, China Earthquake Administration Korea 2012.10 Report

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

Scandinavia SUMMER / GROUPS. & Beyond 2014

Scandinavia SUMMER / GROUPS. & Beyond 2014 / & 2014 25 f f Fx f 211 9 Öæ Höf æ å f 807 ø 19 øø ä 2111 1 Z F ø 1328 H f fö F H å fö ö 149 H 1 ö f Hø ø Hf 1191 2089 ä ø å F ä 1907 ä 1599 H 1796 F ø ä Jä J ( ) ø F ø 19 ö ø 15 á Å f 2286 æ f ó ä H

More information