fordy, wood (eds ) harmonic maps and integrable systems (1994)(316s)

fordy, wood. (eds.) harmonic maps and integrable systems (1994)(316s)

fordy, wood. (eds.) harmonic maps and integrable systems (1994)(316s)

... Contents of Fordy Wood file:///tmp/index.htm 1 of 2 02/25/04 12:07 University of Leeds School of Maths Pure Maths J.C. Wood ed. A.P. Fordy and J.C. Wood Harmonic maps and integrable systems Originally ... Introduction and background material Introduction , p. 3 AhistoricalintroductiontosolitonsandBäcklundtranformations , A.P. Fordy, p. 7 Harmonic maps into symmet...

Ngày tải lên: 24/04/2014, 16:50

316 583 0
Đề tài " Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow " potx

Đề tài " Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow " potx

... formulae (1. 9) E(u)=E ∂ (u)+E ¯ ∂ (u), REPULSION AND QUANTIZATION IN ALMOST -HARMONIC MAPS 475 and (1.1 0) 4π deg(u)=E ∂ (u) −E ¯ ∂ (u). In particular, we have E ∂ (u) ≤ E(u) and E ¯ ∂ (u) ≤ E(u). The ... C 1 and a time t 0 such that (i) u(t) − u ∞  L 2 (S 2 ) ≤ C 1 |E(u(t )) −E| 1 2 for t ≥ 0, (ii) u(t) − u ∞  C k ( ) ≤ C 1 |E(u(t )) −E| 1 4 for t>t 0 , (iii...

Ngày tải lên: 28/03/2014, 22:20

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150 Harmonic maps, conservation laws and moving frames Second edition ppt

150 Harmonic maps, conservation laws and moving frames Second edition ppt

... SARNAK 150 Harmonic maps, conservation laws and moving frames Second edition 4 Geometric and analytic setting and for the energy density (1. 4) e e 2v g ( )= e −2v e g ( ). (1. 7) Thus, E (Ω,e 2v g) ( )=  Ω e (m−2)v e g ( ) ... Ω and Ω  are two open subsets of M and M  respectively, then if T :(Ω,g) −→ (Ω  ,g  ) is a conformal diffeomorphism, we have E (Ω,...

Ngày tải lên: 29/03/2014, 16:20

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150 Harmonic maps, conservation laws and moving frames Second edition pdf

150 Harmonic maps, conservation laws and moving frames Second edition pdf

... SARNAK 150 Harmonic maps, conservation laws and moving frames Second edition 4 Geometric and analytic setting and for the energy density (1. 4) e e 2v g ( )= e −2v e g ( ). (1. 7) Thus, E (Ω,e 2v g) ( )=  Ω e (m−2)v e g ( ) ... Ω and Ω  are two open subsets of M and M  respectively, then if T :(Ω,g) −→ (Ω  ,g  ) is a conformal diffeomorphism, we have E (Ω,...

Ngày tải lên: 29/03/2014, 16:20

290 366 0
grammaticos b., kosmann-schwarzbach y., tamizhmani t. (eds.) discrete integrable systems

grammaticos b., kosmann-schwarzbach y., tamizhmani t. (eds.) discrete integrable systems

... derivatives df dx by f  , , f  (x)+a(x)f  (x)+b(x)f(x)=0, ( 1) for which we choose two linearly independent solutions, f 1 (x) and f 2 (x). The coefficients a(x) and b(x) in ( 1) can be expressed in terms ... u 3x ) x − 3u 2y =0, (1 4) in the field u(x, y, t):=(−a(x; y, t )) x . Furthermore, since solutions a and b to (1 0) and (1 2) can be expressed in terms of...

Ngày tải lên: 24/04/2014, 16:50

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Children’s Health Deficits due to Diarrhoea: Effects of Water Supply and Sanitation Systems in Slums with Different Water Logging Conditions

Children’s Health Deficits due to Diarrhoea: Effects of Water Supply and Sanitation Systems in Slums with Different Water Logging Conditions

... family status, utilities for (b) water supply and (c) sanitation systems and attitudes for (d) water treatment at home, (e) children’s defecation habits and (f) hygiene practices Note: Communities ... A. K. (199 7). Understanding DALYs. J Health Econ 16( 6): 703– 730. Murray C. J. L. and Lopez A. D. (eds. ) (199 6) The global burden of disease; a comprehensive asse...

Ngày tải lên: 05/09/2013, 10:15

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Integration of energy and environmental systems in wastewater treatment plants

Integration of energy and environmental systems in wastewater treatment plants

... water and wastewater treatment since energy use directly affects the amount of greenhouse gas (GHG) emissions, and indirectly affects the biological oxygen demand (BOD), chemical oxygen demand ... (1-10 0) (kBtu/Sq.Ft .) 58 Annual energy cost (US Dollar $) $168,551.61 Average flow (MGD) 3.2 Baseline energy/flow 1.9498 National average site energy usage intensity (EUI) (kBtu/...

Ngày tải lên: 05/09/2013, 15:28

10 636 1
The 8051 microcontroller and embedded systems using assembly and c 2nd ed

The 8051 microcontroller and embedded systems using assembly and c 2nd ed

... of memory in IBM PCs and compatibles ¾ Kilobyte (K): 2 10 bytes ¾ Megabyte (M) : 2 20 bytes, over 1 million ¾ Gigabyte (G) : 2 30 bytes, over 1 billion ¾ Terabyte (T) : 2 40 bytes, over 1 ... Science Illuminated, Dale and Lewis Department of Computer Science and Information Engineering National Cheng Kung University, TAIWAN 9 HANEL NUMBERING AND CODING SYSTEMS Converting from He...

Ngày tải lên: 04/10/2013, 19:10

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Nano and Microelectromechanical Systems P4

Nano and Microelectromechanical Systems P4

... commutative: ABBA UU = and ABBA II = ; • associative: ( ) ( ) CBACBA UUUU = and ( ) ( ) CBACBA IIII = ; • distributive: ( ) ( ) ( ) CABACBA UIUIU = and ( ) ( ) ( ) CABACBA IUIUI = , and using the ... A}. That is, the actuator/sensor set is give as ( ) ( ) ( ) ( ) ( ) ( ){ } AICINITESEPEGM ,,,,,,,,,,,, L=× . In gene...

Ngày tải lên: 17/10/2013, 11:15

20 454 1
Nano and Microelectromechanical Systems P6

Nano and Microelectromechanical Systems P6

... expressed as       ++= e extV s BtG e extV BtG x extV xBtGu T ei T ee T x u u ∂ ∂ ∂ ∂ ∂ ∂ ), ,(1 )( ), ,( )( ), ,( )( )( sat max min (4.2. 3) where G x ( ):  ≥0 → m × m , G e ( ):  ≥0 → m ×m and G i ( ):  ≥0 → m ×m are the bounded symmetric matrix-functions defined on [t 0 , ), ... well-known quadratic Lyapunov candidate results, and .)( )...

Ngày tải lên: 19/10/2013, 18:15

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