STUDY ON 3D FRACTAL DISTRIBUTION LAW OF THE SURFACE NUMBER IN ROCK MASS

Μέγεθος: px
Εμφάνιση ξεκινά από τη σελίδα:

Download "STUDY ON 3D FRACTAL DISTRIBUTION LAW OF THE SURFACE NUMBER IN ROCK MASS"

Transcript

1 4 4 Vol.4 No Chinese Journal of Rock Mechanics and Engineering Feb ( ) ( ) D S N S D N D = D S 1 D N ST SP N N S N = kn S k TU 45 A (005) STUDY ON 3D FRACTA DISTRIBUTION AW OF THE SURFACE NUMBER IN ROCK MASS FENG Zeng-chao 1 ZHAO Yang-sheng 1 WEN Zai-ming 1 (1. Mining Technology Institute Taiyuan University of Technology Taiyuan China. Department of Mining China University of Mining and Technology Xuzhou 1008 China) Abstract Based on numerical simulation experiment the fractal distribution law of surface number in rock mass is proved. According to large amount of calculate and theoretical inducement the two important fractal parameters for fractured face are achieved. Through a great deal of calculation the relationship between D S and D fractal dimension D of trace is obtained which is D =D S 1 and D is not related to the other parameters including N S dip angle ST azimuth SP of 3D surface. The relationship of N S and the initial value of trace number N is obtained. There are projection relation between N and ST and SP and proportional relation between N and Ns which is N = kn S where k depends on surface projection. These relations provide the foundation for studying number and scale of surface in rock masses. Key words mining engineering surface in rock mass fractal law surface trace section plane of rock mass ( ) ( ) (1971 ) 001 zc-feng@163.com

2 (1) 0 ( 0 [1 ] ) 0 N( 0 ) () 0 8 δ 1 = 0 / 1 δ1 0 / N( 0 /) k (3) δ k = 0 / 3k 0 δ k 50 N( 0 / k ) [3 4] Fisher (4) 0 / k Bingham [5] N( 0 / k ) [6] (5) lg-lgn [7] Monte Carlo DS N( δ ) = N Sδ (1) [8 9] Monte Carlo N S [10] 1 D S 3 [11 14] (1) () (3) n r ST SP = 1 N S = 1 D S =.40 3

3 Y 3.3 C 0 = 1 n r 1 D S1 =.3 N S1 = 1 ST 1 = 30 SP 1 = ST B 75 D S =.6 N S = 1 ST = 60 SP = D 15 3 SP Z 1 O A X ( 3) 1 Fig.1 Relation of dip angle azimuth and normal vector 3 Table 3 The fractal parameters of trace on various section 1 plane with grouping-distributed 3D surface ( 1) 0 = 1 D N R 0 0 / 0 /4 0 /8 0 /16 0 /3 1 XOY (D S =.40 N S = 1) Table 1 The fractal parameters of trace on various section plane with fully-random distributed 3D surface XOZ (D S =.40 N S = 1) XOY = / 0 /4 0 /8 0 /16 0 /3 D N R XOY YOZ XOZ ( 8.6%) ( 0.99) 3 (.9%.96%) 3. 0 = 1 N S = 1 D S =.4 ST = 45 SP = D 3D ( ) D (D S =.40 N S = 1 ST = 45 SP = 75 ) D D S Table The fractal parameters of trace on various section D plane with partly -random distributed 3D surface (D S =.40 N S = 1 ST = 45 SP = 75 ) 0 = / 0 /4 0 /8 0 /16 0 /3 D N R XOY YOZ XOZ YOZ YOZ XOZ ( 0.9) D S 4.1 D S D D S ST SP XOZ YOZ XOY ( 1 ) D D S

4 D S 3 D D D S D S D Fig. Relationship between 3D fractal dimension of surface number D S and fractal dimensions D and their mean of various orthogonal section plane of fully-random distribution XOZ YOZ XOY 3 ( 1 ) 1.54% D 4 D D S D D =.005 1D () S 1 + D D ST = 45 ST = 85 3 D S =.405 ST SP D Fig.3 The relationship between azimuth SP dip angle ST and fractal dimension D of D when D S =.405 D S R = D S 4. D S D 4 D S D D S (N S = 1 ST = 45SP = 60 ) Fig.4 The relationship between 3D fractal dimension of surface ST SP number D S and fractal dimensions D of various XOZ YOZ XOY orthogonal section plane of partly-random distribution ( 1 ) (N S = 1 ST = 45SP = 60 ) D ST SP ST 4 SP D D D S D ST SP D ( 3) 5 D 3D D ST SP 5.1 N ST SP

5 D S N SP ST ST SP SP XOZ YOZ XOY ST N ( 1 1 ) N = N ST SP sin ( ST )cos ( SP) (5) R = XOZ N SP N ST ST SP N 5. D 3D N = sin(ST) (3) D S R = ST SP 5 YOZ N S N SP ST XOZ YOZ XOY SP ( 1 1 ) ST N N = sin ( ST )sin ( SP) (4) R = XOY N = kn S N N S 5 D S ST SP N N S 4 XOZ N (D S =.4) Table 4 The initial value of trace number N in XOZ section plane with different dip angle ST and azimuth angle SP(D S =.4) ST/( ) YOZ N (D S =.4) Table 5 The initial value of trace number N in YOZ section plane with different dip angle ST and azimuth angle SP(D S =.4) ST/( )

6 XOY N (D S =.4) Table 6 The initial value of trace number N in XOY section plane with different dip angle ST and azimuth angle SP(D S =.4) ST/( ) N S 5 XOZ N N S (D S =.4 SP = 0 ) Fig.5 Relationship between N of XOZ section plane and the initial value of surface number N S (D S =.4 SP = 0 ) and the mean of N 5.3 D S N ST SP N S = 1 7 D S Table 7 The number of surface and trace on fractal XOZ YOZ XOY observation ( 1 ) N D S D S 6 D S N N D S N D 3D 6 D S N Fig.6 Relationship between D S of fully-random distribution / / / / / / / (1) 0 1 N( δ ) = δ

7 D S N S 1 1 N = sin( ST ) 7 XOY n 1 n 1 N( δ ) = δ D = 1 N = k k 1 N ( 0 / ) = ( 0 / ) (7) D S = D = D S 1 N = () 1 ( N = 1 sin ( ST ) cos (π ) = 1 ) 7 YOZ n ncos(st) n 3 N( δ ) = δ k k 1 D S = 3 N S = 1 N ( 0 / ) = cos( ST )( 0 / ) (8) N = cos(st) N = 1 sin ( ST )sin (π ) = cos( ST ) N( δ ) = δ D = N = 1 D S D D S = 3 D = D S 1 D = D S 1 N S = 1 (3) ST SP = N S 1 90 ( 7) N S N( δ ) = δ 7 Y C B # 100 # m Z 37 A 3 C 8 SP D 3D ST O D X 7 Fig.7 The projection of single surface XOZ n nsin(st) n (1) k k 1 () N ( 0 / ) = sin( ST )( 0 / ) (6)

8 # Table 8 The observation and forecast result of rock crack of drill No.100 in Jiexiu /m D N D N D S N S ST/( ) K (References) [1] Kwaśiewski M A Wang J A. Surface roughness evolution and mechanical behavior of rock joints under shear[j]. Int. J. Rock Mech. 8 Min. Sci (3/4) 709. [] Zhang Z X Yu J Kou S Q et al. On study of influences of loading rate on fractal dimension of fractal surface in gabbro[j]. Rock Mech. Rock Engng (3) (1) [s. l.] [s. n.] orientation date[j]. Math. Geology Geomech. Abstr () D D S 1 N N S 365. N [8] ST SP (3) Advance of Rock Mechanics (in Chinese)) (4) Geomech. Abstract [10] [3] Fisher S R. Dispersion on a sphere[a]. In Proc. Roy. Soc. and.[c]. [4] Shanley R J Mahtab M A. Delineation and analysis of clusters in [5] Priest S D Hudson J A. Estimation of discontinuity spacing and trace length using scan line surveys[j]. Int. J. Rock Mech. Sci. and [6] Zanbak C. Statistical interpretation of discontinuity contour diagram[j]. Int. J. Rock Mech. Min. Sc. Geomech. Abstract 1997 [7] Zaitsev Y V Wittmann F H. Simulation of crack propagation and failure of concrete[j]. Materiaux et Construction [J] (Pan Bietong Jing anru. Simulation and application of probability model of rock mass structure[j]. Recent [9] Kulatilake P H S W. Joint network modeling with a validation exercise in stripe mine Sweden[J]. Int. J. Rock Mech. Sci. and.

9 [J]. 00 1(7) (Jia Hongbiao Ma Shuzhi Tang Huiming et al. Study on engineering application of 3D modeling of rock discontinuity network[j]. Chinese Journal of Rock Mechanics and Engineering 00 1(7) (in Chinese)) of Three Gorges[J]. Chinese Journal of Geotechnical Engineering (5) (in Chinese)) [13]. [J]. 00 1(11) (Zhao Yangsheng Wang Xiaohai Duan Kanglian et al. Unsymmetrical of [11]. [J]. scale transformation of rock mass anisotropy[j]. Chinese Journal of (4) (Kang Tianhe Zhao Yangsheng Jin Zhongming. Fractal study of fracture scale distribution in coalmass[j]. Journal of China Society (4) (in Chinese)) Rock Mechanics and Engineering 00 1(11) (in Chinese)) [14]. [J]. 00 1(10) (Hu Yaoqing [1]. Zhao Yangsheng Yang Dong et al. Relationship between permeability [J] (5) (Shen Jin Zhao Yangsheng Zhu Weishen. Fractal distribution for rock mass in fractures for rock mass in high slopes and its application to the lock and fractal dimension of coal mass[j]. Chinese Journal of Rock Mechanics and Engineering 00 1(10) (in Chinese)) ( 55 ) EI (80 )(II) No. 1 0 kv CBR ( 656 )

Study on the Strengthen Method of Masonry Structure by Steel Truss for Collapse Prevention

Study on the Strengthen Method of Masonry Structure by Steel Truss for Collapse Prevention 33 2 2011 4 Vol. 33 No. 2 Apr. 2011 1002-8412 2011 02-0096-08 1 1 1 2 3 1. 361005 3. 361004 361005 2. 30 TU746. 3 A Study on the Strengthen Method of Masonry Structure by Steel Truss for Collapse Prevention

Διαβάστε περισσότερα

Stress Relaxation Test and Constitutive Equation of Saturated Soft Soil

Stress Relaxation Test and Constitutive Equation of Saturated Soft Soil 8 7 011 7 Journal of Highway and Transportation Research and Development Vol. 8 No. 7 Jul. 011 100-068 011 07-0014 - 05 1 1. 0009. 710064 k 0 Merchant 4 Merchant U416. 1 + 6 A Stress Relaxation Test and

Διαβάστε περισσότερα

,,, (, 100875) 1989 12 25 1990 2 23, - 2-4 ;,,, ; -

,,, (, 100875) 1989 12 25 1990 2 23, - 2-4 ;,,, ; - 25 3 2003 5 RESOURCES SCIENCE Vol. 25 No. 3 May 2003 ( 100875) : 500L - 2-4 - 6-8 - 10 114h - 120h 6h 1989 12 25 1990 2 23-2 - 4 : ; ; - 4 1186cm d - 1 10cm 514d ; : 714 13 317 714 119 317 : ; ; ; :P731

Διαβάστε περισσότερα

Evaluation on precision of occurrence measurement based on theory of errors

Evaluation on precision of occurrence measurement based on theory of errors 35 2 2016 6 GLOBAL GEOLOGY Vol. 35 No. 2 Jun. 2016 1004 5589 2016 02 0567 08 130026 5 ± 4 ± 3 4 P21 TD17 A doi 10. 3969 /j. issn. 1004-5589. 2016. 02. 030 Evaluation on precision of occurrence measurement

Διαβάστε περισσότερα

J. of Math. (PRC) 6 n (nt ) + n V = 0, (1.1) n t + div. div(n T ) = n τ (T L(x) T ), (1.2) n)xx (nt ) x + nv x = J 0, (1.4) n. 6 n

J. of Math. (PRC) 6 n (nt ) + n V = 0, (1.1) n t + div. div(n T ) = n τ (T L(x) T ), (1.2) n)xx (nt ) x + nv x = J 0, (1.4) n. 6 n Vol. 35 ( 215 ) No. 5 J. of Math. (PRC) a, b, a ( a. ; b., 4515) :., [3]. : ; ; MR(21) : 35Q4 : O175. : A : 255-7797(215)5-15-7 1 [1] : [ ( ) ] ε 2 n n t + div 6 n (nt ) + n V =, (1.1) n div(n T ) = n

Διαβάστε περισσότερα

EXPERIMENT RESEARCH OF INFLUENCE OF DYNAMIC LOADING ON PROCESS OF CRACK FORMATION AT BOOTY OF LITHOIDAL BLOCKS T.

EXPERIMENT RESEARCH OF INFLUENCE OF DYNAMIC LOADING ON PROCESS OF CRACK FORMATION AT BOOTY OF LITHOIDAL BLOCKS T. EXPERIMENT RESEARCH OF INFLUENCE OF DYNAMIC LOADING ON PROCESS OF CRACK FORMATION AT BOOTY OF LITHOIDAL BLOCKS T. Grebeniuk, K. Tkachuk National technical university of Ukraine «KPI» vul. Borshchahivka,

Διαβάστε περισσότερα

( ) , ) , ; kg 1) 80 % kg. Vol. 28,No. 1 Jan.,2006 RESOURCES SCIENCE : (2006) ,2 ,,,, ; ;

( ) , ) , ; kg 1) 80 % kg. Vol. 28,No. 1 Jan.,2006 RESOURCES SCIENCE : (2006) ,2 ,,,, ; ; 28 1 2006 1 RESOURCES SCIENCE Vol. 28 No. 1 Jan. 2006 :1007-7588(2006) 01-0002 - 07 20 1 1 2 (11 100101 ; 21 101149) : 1978 1978 2001 ; 2010 ; ; ; : ; ; 24718kg 1) 1990 26211kg 260kg 1995 2001 238kg( 1)

Διαβάστε περισσότερα

High order interpolation function for surface contact problem

High order interpolation function for surface contact problem 3 016 5 Journal of East China Normal University Natural Science No 3 May 016 : 1000-564101603-0009-1 1 1 1 00444; E- 00030 : Lagrange Lobatto Matlab : ; Lagrange; : O41 : A DOI: 103969/jissn1000-56410160300

Διαβάστε περισσότερα

Congruence Classes of Invertible Matrices of Order 3 over F 2

Congruence Classes of Invertible Matrices of Order 3 over F 2 International Journal of Algebra, Vol. 8, 24, no. 5, 239-246 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/.2988/ija.24.422 Congruence Classes of Invertible Matrices of Order 3 over F 2 Ligong An and

Διαβάστε περισσότερα

MODEL EXPERIMENT STUDY ON THE DIFFERENT REINFORCEMENT EFFECTS OF UN-BONDED ANCHOR CABLE AND FULL-LENGTH BONDED ANCHOR CABLE IN ROCK ENGINEERING

MODEL EXPERIMENT STUDY ON THE DIFFERENT REINFORCEMENT EFFECTS OF UN-BONDED ANCHOR CABLE AND FULL-LENGTH BONDED ANCHOR CABLE IN ROCK ENGINEERING 24 15 Vol.24 No.15 2005 8 Chinese Journal of Rock Mechanics and Engineering Aug. 2005 1 1 2 3 (1. 471023 2. 230026 3. 430070) 2 2 2 2 2 TU 457 A 1000 6915(2005)12 2689 08 MODEL EXPERIMENT STUDY ON THE

Διαβάστε περισσότερα

Q L -BFGS. Method of Q through full waveform inversion based on L -BFGS algorithm. SUN Hui-qiu HAN Li-guo XU Yang-yang GAO Han ZHOU Yan ZHANG Pan

Q L -BFGS. Method of Q through full waveform inversion based on L -BFGS algorithm. SUN Hui-qiu HAN Li-guo XU Yang-yang GAO Han ZHOU Yan ZHANG Pan 3 2015 12 GLOBAL GEOLOGY Vol. 3 No. Dec. 2015 100 5589 2015 0 1106 07 L BFGS Q 130026 Q 2D L BFGS Marmousi Q L BFGS P631. 3 A doi 10. 3969 /j. issn. 1005589. 2015. 0. 02 Method of Q through full waveform

Διαβάστε περισσότερα

Gro wth Properties of Typical Water Bloom Algae in Reclaimed Water

Gro wth Properties of Typical Water Bloom Algae in Reclaimed Water 31 1 2010 1 ENVIRONMENTAL SCIENCE Vol. 31,No. 1 Jan.,2010, 3, (,, 100084) :,.,, ( Microcystis aeruginosa),3 (A 2 O ) 10 6 ml - 1,> 0139 d - 1. A 2 O222,. TP ( K max ) ( R max ), Monod. :; ; ; ; :X173 :A

Διαβάστε περισσότερα

Quick algorithm f or computing core attribute

Quick algorithm f or computing core attribute 24 5 Vol. 24 No. 5 Cont rol an d Decision 2009 5 May 2009 : 100120920 (2009) 0520738205 1a, 2, 1b (1. a., b., 239012 ; 2., 230039) :,,.,.,. : ; ; ; : TP181 : A Quick algorithm f or computing core attribute

Διαβάστε περισσότερα

CorV CVAC. CorV TU317. 1

CorV CVAC. CorV TU317. 1 30 8 JOURNAL OF VIBRATION AND SHOCK Vol. 30 No. 8 2011 1 2 1 2 2 1. 100044 2. 361005 TU317. 1 A Structural damage detection method based on correlation function analysis of vibration measurement data LEI

Διαβάστε περισσότερα

ER-Tree (Extended R*-Tree)

ER-Tree (Extended R*-Tree) 1-9825/22/13(4)768-6 22 Journal of Software Vol13, No4 1, 1, 2, 1 1, 1 (, 2327) 2 (, 3127) E-mail xhzhou@ustceducn,,,,,,, 1, TP311 A,,,, Elias s Rivest,Cleary Arya Mount [1] O(2 d ) Arya Mount [1] Friedman,Bentley

Διαβάστε περισσότερα

2 ~ 8 Hz Hz. Blondet 1 Trombetti 2-4 Symans 5. = - M p. M p. s 2 x p. s 2 x t x t. + C p. sx p. + K p. x p. C p. s 2. x tp x t.

2 ~ 8 Hz Hz. Blondet 1 Trombetti 2-4 Symans 5. = - M p. M p. s 2 x p. s 2 x t x t. + C p. sx p. + K p. x p. C p. s 2. x tp x t. 36 2010 8 8 Vol 36 No 8 JOURNAL OF BEIJING UNIVERSITY OF TECHNOLOGY Aug 2010 Ⅰ 100124 TB 534 + 2TP 273 A 0254-0037201008 - 1091-08 20 Hz 2 ~ 8 Hz 1988 Blondet 1 Trombetti 2-4 Symans 5 2 2 1 1 1b 6 M p

Διαβάστε περισσότερα

Approximation Expressions for the Temperature Integral

Approximation Expressions for the Temperature Integral 20 7Π8 2008 8 PROGRSS IN CHMISRY Vol. 20 No. 7Π8 Aug., 2008 3 3 3 3 3 ( 230026),,,, : O64311 ; O64213 : A : 10052281X(2008) 07Π821015206 Approimation pressions for the emperature Integral Chen Haiiang

Διαβάστε περισσότερα

: Monte Carlo EM 313, Louis (1982) EM, EM Newton-Raphson, /. EM, 2 Monte Carlo EM Newton-Raphson, Monte Carlo EM, Monte Carlo EM, /. 3, Monte Carlo EM

: Monte Carlo EM 313, Louis (1982) EM, EM Newton-Raphson, /. EM, 2 Monte Carlo EM Newton-Raphson, Monte Carlo EM, Monte Carlo EM, /. 3, Monte Carlo EM 2008 6 Chinese Journal of Applied Probability and Statistics Vol.24 No.3 Jun. 2008 Monte Carlo EM 1,2 ( 1,, 200241; 2,, 310018) EM, E,,. Monte Carlo EM, EM E Monte Carlo,. EM, Monte Carlo EM,,,,. Newton-Raphson.

Διαβάστε περισσότερα

Vol. 31,No JOURNAL OF CHINA UNIVERSITY OF SCIENCE AND TECHNOLOGY Feb

Vol. 31,No JOURNAL OF CHINA UNIVERSITY OF SCIENCE AND TECHNOLOGY Feb Ξ 31 Vol 31,No 1 2 0 0 1 2 JOURNAL OF CHINA UNIVERSITY OF SCIENCE AND TECHNOLOGY Feb 2 0 0 1 :025322778 (2001) 0120016205 (, 230026) : Q ( m 1, m 2,, m n ) k = m 1 + m 2 + + m n - n : Q ( m 1, m 2,, m

Διαβάστε περισσότερα

No. 7 Modular Machine Tool & Automatic Manufacturing Technique. Jul TH166 TG659 A

No. 7 Modular Machine Tool & Automatic Manufacturing Technique. Jul TH166 TG659 A 7 2016 7 No. 7 Modular Machine Tool & Automatic Manufacturing Technique Jul. 2016 1001-2265 2016 07-0122 - 05 DOI 10. 13462 /j. cnki. mmtamt. 2016. 07. 035 * 100124 TH166 TG659 A Precision Modeling and

Διαβάστε περισσότερα

A research on the influence of dummy activity on float in an AOA network and its amendments

A research on the influence of dummy activity on float in an AOA network and its amendments 2008 6 6 :100026788 (2008) 0620106209,, (, 102206) : NP2hard,,..,.,,.,.,. :,,,, : TB11411 : A A research on the influence of dummy activity on float in an AOA network and its amendments WANG Qiang, LI

Διαβάστε περισσότερα

1 (forward modeling) 2 (data-driven modeling) e- Quest EnergyPlus DeST 1.1. {X t } ARMA. S.Sp. Pappas [4]

1 (forward modeling) 2 (data-driven modeling) e- Quest EnergyPlus DeST 1.1. {X t } ARMA. S.Sp. Pappas [4] 212 2 ( 4 252 ) No.2 in 212 (Total No.252 Vol.4) doi 1.3969/j.issn.1673-7237.212.2.16 STANDARD & TESTING 1 2 2 (1. 2184 2. 2184) CensusX12 ARMA ARMA TU111.19 A 1673-7237(212)2-55-5 Time Series Analysis

Διαβάστε περισσότερα

Research on explaining porosity in carbonate reservoir by capture cross section method

Research on explaining porosity in carbonate reservoir by capture cross section method 33 4 2014 12 GLOBAL GEOLOGY Vol. 33 No. 4 Dec. 2014 1004-5589 2014 04-0875 - 05 1 2 1 2 1. 130026 2. 830011 PND SIGMA CATO SIGMA CNL 0. 91 SIGMA CATO P631. 325 A doi 10. 3969 /j. issn. 1004-5589. 2014.

Διαβάστε περισσότερα

Error ana lysis of P2wave non2hyperbolic m oveout veloc ity in layered media

Error ana lysis of P2wave non2hyperbolic m oveout veloc ity in layered media 28 1 2009 3 Vol128 No11 GLOBAL GEOLOGY Mar1 2009 : 1004 5589 (2009) 01 0098 05 P 1, 1, 2, 1 1., 130026; 2., 100027 :,,,, 1%,,, 12187%,, : ; ; ; : P63114 : A Abstract: Error ana lysis of P2wave non2hyperbolic

Διαβάστε περισσότερα

Web-based supplementary materials for Bayesian Quantile Regression for Ordinal Longitudinal Data

Web-based supplementary materials for Bayesian Quantile Regression for Ordinal Longitudinal Data Web-based supplementary materials for Bayesian Quantile Regression for Ordinal Longitudinal Data Rahim Alhamzawi, Haithem Taha Mohammad Ali Department of Statistics, College of Administration and Economics,

Διαβάστε περισσότερα

Motion analysis and simulation of a stratospheric airship

Motion analysis and simulation of a stratospheric airship 32 11 Vol 32 11 2011 11 Journal of Harbin Engineering University Nov 2011 doi 10 3969 /j issn 1006-7043 2011 11 019 410073 3 2 V274 A 1006-7043 2011 11-1501-08 Motion analysis and simulation of a stratospheric

Διαβάστε περισσότερα

90 [, ] p Panel nested error structure) : Lagrange-multiple LM) Honda [3] LM ; King Wu, Baltagi, Chang Li [4] Moulton Randolph ANOVA) F p Panel,, p Z

90 [, ] p Panel nested error structure) : Lagrange-multiple LM) Honda [3] LM ; King Wu, Baltagi, Chang Li [4] Moulton Randolph ANOVA) F p Panel,, p Z 00 Chinese Journal of Applied Probability and Statistics Vol6 No Feb 00 Panel, 3,, 0034;,, 38000) 3,, 000) p Panel,, p Panel : Panel,, p,, : O,,, nuisance parameter), Tsui Weerahandi [] Weerahandi [] p

Διαβάστε περισσότερα

Slide D-FLOW 8km. 13a. 400mm / d

Slide D-FLOW 8km. 13a. 400mm / d 22 2 2011 6 The Chinese Journal of Geological Hazard and Control Vol. 22 No. 2 Jun. 2011 1 1 1 2 1. 361005 2. 423037 1003-8035 2011 02-0108-07 TU457 A 0 10 ANSYS10. 0 1-9 2-3 Slide5. 0 9 1 2D-FLOW 8km

Διαβάστε περισσότερα

Analysis on construction application of lager diameter pile foundation engineering in Guangdong coastal areas

Analysis on construction application of lager diameter pile foundation engineering in Guangdong coastal areas 29 2 2010 6 GLOBAL GEOLOGY Vol. 29 No. 2 Jun. 2010 1004-5589 2010 02-0341 - 06 1 2 3 4 5 6 1. 130032 2. 130012 3. 134000 4. 130021 5. 130012 6. 130012 1# 2# TU473 A doi 10. 3969 /j. issn. 1004-5589. 2010.

Διαβάστε περισσότερα

Quantum dot sensitized solar cells with efficiency over 12% based on tetraethyl orthosilicate additive in polysulfide electrolyte

Quantum dot sensitized solar cells with efficiency over 12% based on tetraethyl orthosilicate additive in polysulfide electrolyte Electronic Supplementary Material (ESI) for Journal of Materials Chemistry A. This journal is The Royal Society of Chemistry 2017 Supplementary Information (SI) Quantum dot sensitized solar cells with

Διαβάστε περισσότερα

Homework 8 Model Solution Section

Homework 8 Model Solution Section MATH 004 Homework Solution Homework 8 Model Solution Section 14.5 14.6. 14.5. Use the Chain Rule to find dz where z cosx + 4y), x 5t 4, y 1 t. dz dx + dy y sinx + 4y)0t + 4) sinx + 4y) 1t ) 0t + 4t ) sinx

Διαβάστε περισσότερα

Aluminum Electrolytic Capacitors (Large Can Type)

Aluminum Electrolytic Capacitors (Large Can Type) Aluminum Electrolytic Capacitors (Large Can Type) Snap-In, 85 C TS-U ECE-S (U) Series: TS-U Features General purpose Wide CV value range (33 ~ 47,000 µf/16 4V) Various case sizes Top vent construction

Διαβάστε περισσότερα

Constitutive Equation for Plastic Behavior of Hydrostatic Pressure Dependent Polymers

Constitutive Equation for Plastic Behavior of Hydrostatic Pressure Dependent Polymers 1/5 Constitutive Equation for Plastic Behavior of Hydrostatic Pressure Deendent Polymers by Yukio SANOMURA Hydrostatic ressure deendence in mechanical behavior of olymers is studied for the constitutive

Διαβάστε περισσότερα

No-load iron loss of permanent magnet synchronous motors

No-load iron loss of permanent magnet synchronous motors 21 5 2017 5 Electri c Machines and Control Vol. 21 No. 5 May 2017 110870 Bertotti 5 kw 3 000 r /min DOI 10. 15938 /j. emc. 2017. 05. 007 TM 315 A 1007-449X 2017 05-0051- 07 No-load iron loss of permanent

Διαβάστε περισσότερα

VSC STEADY2STATE MOD EL AND ITS NONL INEAR CONTROL OF VSC2HVDC SYSTEM VSC (1. , ; 2. , )

VSC STEADY2STATE MOD EL AND ITS NONL INEAR CONTROL OF VSC2HVDC SYSTEM VSC (1. , ; 2. , ) 22 1 2002 1 Vol. 22 No. 1 Jan. 2002 Proceedings of the CSEE ν 2002 Chin. Soc. for Elec. Eng. :025828013 (2002) 0120017206 VSC 1, 1 2, (1., 310027 ; 2., 250061) STEADY2STATE MOD EL AND ITS NONL INEAR CONTROL

Διαβάστε περισσότερα

Nov Journal of Zhengzhou University Engineering Science Vol. 36 No FCM. A doi /j. issn

Nov Journal of Zhengzhou University Engineering Science Vol. 36 No FCM. A doi /j. issn 2015 11 Nov 2015 36 6 Journal of Zhengzhou University Engineering Science Vol 36 No 6 1671-6833 2015 06-0056 - 05 C 1 1 2 2 1 450001 2 461000 C FCM FCM MIA MDC MDC MIA I FCM c FCM m FCM C TP18 A doi 10

Διαβάστε περισσότερα

ACTA MATHEMATICAE APPLICATAE SINICA Nov., ( µ ) ( (

ACTA MATHEMATICAE APPLICATAE SINICA Nov., ( µ ) (  ( 35 Þ 6 Ð Å Vol. 35 No. 6 2012 11 ACTA MATHEMATICAE APPLICATAE SINICA Nov., 2012 È ÄÎ Ç ÓÑ ( µ 266590) (E-mail: jgzhu980@yahoo.com.cn) Ð ( Æ (Í ), µ 266555) (E-mail: bbhao981@yahoo.com.cn) Þ» ½ α- Ð Æ Ä

Διαβάστε περισσότερα

8Q5SAC) 8Q5SAC UV2Vis 8500 ( ) ; PHS23C ) ;721 ( ) :1 4. ;8Q5SAC : molπl ;Britton2Robinson Q5SAC BSA Britton2Robinson,

8Q5SAC) 8Q5SAC UV2Vis 8500 ( ) ; PHS23C ) ;721 ( ) :1 4. ;8Q5SAC : molπl ;Britton2Robinson Q5SAC BSA Britton2Robinson, 31 2003 8 (FENXI HUAXUE) 8 Chinese Journal of Analytical Chemistry 976 980 22( 82 252 272 )21,82 23,62 3 (, 510631) 22(82 252 272 )21,82 23,62 (BSA), 8Q5SAC BSA 298K, 35 40 6. 1 10 5 LΠmol 8Q5SAC, ph =

Διαβάστε περισσότερα

ΠΟΛΥΤΕΧΝΕΙΟ ΚΡΗΤΗΣ ΣΧΟΛΗ ΜΗΧΑΝΙΚΩΝ ΠΕΡΙΒΑΛΛΟΝΤΟΣ

ΠΟΛΥΤΕΧΝΕΙΟ ΚΡΗΤΗΣ ΣΧΟΛΗ ΜΗΧΑΝΙΚΩΝ ΠΕΡΙΒΑΛΛΟΝΤΟΣ ΠΟΛΥΤΕΧΝΕΙΟ ΚΡΗΤΗΣ ΣΧΟΛΗ ΜΗΧΑΝΙΚΩΝ ΠΕΡΙΒΑΛΛΟΝΤΟΣ Τομέας Περιβαλλοντικής Υδραυλικής και Γεωπεριβαλλοντικής Μηχανικής (III) Εργαστήριο Γεωπεριβαλλοντικής Μηχανικής TECHNICAL UNIVERSITY OF CRETE SCHOOL of

Διαβάστε περισσότερα

Resurvey of Possible Seismic Fissures in the Old-Edo River in Tokyo

Resurvey of Possible Seismic Fissures in the Old-Edo River in Tokyo Bull. Earthq. Res. Inst. Univ. Tokyo Vol. 2.,**3 pp.,,3,.* * +, -. +, -. Resurvey of Possible Seismic Fissures in the Old-Edo River in Tokyo Kunihiko Shimazaki *, Tsuyoshi Haraguchi, Takeo Ishibe +, -.

Διαβάστε περισσότερα

MECHANICAL PROPERTIES OF MATERIALS

MECHANICAL PROPERTIES OF MATERIALS MECHANICAL PROPERTIES OF MATERIALS! Simple Tension Test! The Stress-Strain Diagram! Stress-Strain Behavior of Ductile and Brittle Materials! Hooke s Law! Strain Energy! Poisson s Ratio! The Shear Stress-Strain

Διαβάστε περισσότερα

J. of Math. (PRC) Banach, , X = N(T ) R(T + ), Y = R(T ) N(T + ). Vol. 37 ( 2017 ) No. 5

J. of Math. (PRC) Banach, , X = N(T ) R(T + ), Y = R(T ) N(T + ). Vol. 37 ( 2017 ) No. 5 Vol. 37 ( 2017 ) No. 5 J. of Math. (PRC) 1,2, 1, 1 (1., 225002) (2., 225009) :. I +AT +, T + = T + (I +AT + ) 1, T +. Banach Hilbert Moore-Penrose.. : ; ; Moore-Penrose ; ; MR(2010) : 47L05; 46A32 : O177.2

Διαβάστε περισσότερα

katoh@kuraka.co.jp okaken@kuraka.co.jp mineot@fukuoka-u.ac.jp 4 35 3 Normalized stress σ/g 25 2 15 1 5 Breaking test Theory 1 2 Shear tests Failure tests Compressive tests 1 2 3 4 5 6 Fig.1. Relation between

Διαβάστε περισσότερα

Μεταπτυχιακή διατριβή

Μεταπτυχιακή διατριβή ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΓΕΩΤΕΧΝΙΚΩΝ ΕΠΙΣΤΗΜΩΝ ΚΑΙ ΔΙΑΧΕΙΡΙΣΗΣΠΕΡΙΒΑΛΛΟΝΤΟΣ Μεταπτυχιακή διατριβή ΟΡΥΚΤΑ ΚΑΥΣΙΜΑ ΣΤΟΝ ΠΑΓΚΟΣΜΙΟ ΧΩΡΟ ΜΙΑ ΕΝΕΡΓΕΙΑΚΗ ΕΠΙΣΚΟΠΗΣΗ ΤΟΥ 2013 ΜΕ ΙΔΙΑΙΤΕΡΗ ΑΝΑΦΟΡΑ

Διαβάστε περισσότερα

[1] P Q. Fig. 3.1

[1] P Q. Fig. 3.1 1 (a) Define resistance....... [1] (b) The smallest conductor within a computer processing chip can be represented as a rectangular block that is one atom high, four atoms wide and twenty atoms long. One

Διαβάστε περισσότερα

; +302 ; +313; +320,.

; +302 ; +313; +320,. 1.,,*+, - +./ +/2 +, -. ; +, - +* cm : Key words: snow-water content, surface soil, snow type, water permeability, water retention +,**. +,,**/.. +30- +302 ; +302 ; +313; +320,. + *+, *2// + -.*, **. **+.,

Διαβάστε περισσότερα

6.3 Forecasting ARMA processes

6.3 Forecasting ARMA processes 122 CHAPTER 6. ARMA MODELS 6.3 Forecasting ARMA processes The purpose of forecasting is to predict future values of a TS based on the data collected to the present. In this section we will discuss a linear

Διαβάστε περισσότερα

Prey-Taxis Holling-Tanner

Prey-Taxis Holling-Tanner Vol. 28 ( 2018 ) No. 1 J. of Math. (PRC) Prey-Taxis Holling-Tanner, (, 730070) : prey-taxis Holling-Tanner.,,.. : Holling-Tanner ; prey-taxis; ; MR(2010) : 35B32; 35B36 : O175.26 : A : 0255-7797(2018)01-0140-07

Διαβάστε περισσότερα

The optimization of EV powertrain s efficiency control strategy under dynamic operation condition

The optimization of EV powertrain s efficiency control strategy under dynamic operation condition 16 3 2012 3 ELECTRI C MACHINES AND CONTROL Vol. 16 No. 3 Mar. 2012 1 1 1 2 2 3 1. 250061 2. 250014 3. 251010 3. 3% U 469. 72 A 1007-449X 2012 03-0053- 07 The optimization of EV powertrain s efficiency

Διαβάστε περισσότερα

FENXI HUAXUE Chinese Journal of Analytical Chemistry. Savitzky-Golay. n = SG SG. Savitzky-Golay mmol /L 5700.

FENXI HUAXUE Chinese Journal of Analytical Chemistry. Savitzky-Golay. n = SG SG. Savitzky-Golay mmol /L 5700. 38 2010 3 FENXI HUAXUE Chinese Journal of Analytical Chemistry 3 342 ~ 346 DOI 10. 3724 /SP. J. 1096. 2010. 00342 Savitzky-Golay 1 * 1 2 1 3 1 1 510632 2 510632 3 200444 PLS Savitzky-Golay SG 10000 ~ 5300

Διαβάστε περισσότερα

Strain gauge and rosettes

Strain gauge and rosettes Strain gauge and rosettes Introduction A strain gauge is a device which is used to measure strain (deformation) on an object subjected to forces. Strain can be measured using various types of devices classified

Διαβάστε περισσότερα

Spherical Coordinates

Spherical Coordinates Spherical Coordinates MATH 311, Calculus III J. Robert Buchanan Department of Mathematics Fall 2011 Spherical Coordinates Another means of locating points in three-dimensional space is known as the spherical

Διαβάστε περισσότερα

MIA MONTE CARLO ΜΕΛΕΤΗ ΤΩΝ ΕΚΤΙΜΗΤΩΝ RIDGE ΚΑΙ ΕΛΑΧΙΣΤΩΝ ΤΕΤΡΑΓΩΝΩΝ

MIA MONTE CARLO ΜΕΛΕΤΗ ΤΩΝ ΕΚΤΙΜΗΤΩΝ RIDGE ΚΑΙ ΕΛΑΧΙΣΤΩΝ ΤΕΤΡΑΓΩΝΩΝ «ΣΠΟΥΔΑΙ», Τόμος 41, Τεύχος 2ο, Πανεπιστήμιο Πειραιώς «SPOUDAI», Vol. 41, No 2, University of Piraeus MIA MONTE CARLO ΜΕΛΕΤΗ ΤΩΝ ΕΚΤΙΜΗΤΩΝ RIDGE ΚΑΙ ΕΛΑΧΙΣΤΩΝ ΤΕΤΡΑΓΩΝΩΝ Του Πάνου Αναστ. Πανόπουλου Οικονομικό

Διαβάστε περισσότερα

«Χρήσεις γης, αξίες γης και κυκλοφοριακές ρυθμίσεις στο Δήμο Χαλκιδέων. Η μεταξύ τους σχέση και εξέλιξη.»

«Χρήσεις γης, αξίες γης και κυκλοφοριακές ρυθμίσεις στο Δήμο Χαλκιδέων. Η μεταξύ τους σχέση και εξέλιξη.» ΕΘΝΙΚΟ ΜΕΤΣΟΒΙΟ ΠΟΛΥΤΕΧΝΕΙΟ ΣΧΟΛΗ ΑΓΡΟΝΟΜΩΝ ΚΑΙ ΤΟΠΟΓΡΑΦΩΝ ΜΗΧΑΝΙΚΩΝ ΤΟΜΕΑΣ ΓΕΩΓΡΑΦΙΑΣ ΚΑΙ ΠΕΡΙΦΕΡΕΙΑΚΟΥ ΣΧΕΔΙΑΣΜΟΥ ΔΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ: «Χρήσεις γης, αξίες γης και κυκλοφοριακές ρυθμίσεις στο Δήμο Χαλκιδέων.

Διαβάστε περισσότερα

Stabilization of stock price prediction by cross entropy optimization

Stabilization of stock price prediction by cross entropy optimization ,,,,,,,, Stabilization of stock prediction by cross entropy optimization Kazuki Miura, Hideitsu Hino and Noboru Murata Prediction of series data is a long standing important problem Especially, prediction

Διαβάστε περισσότερα

Mean bond enthalpy Standard enthalpy of formation Bond N H N N N N H O O O

Mean bond enthalpy Standard enthalpy of formation Bond N H N N N N H O O O Q1. (a) Explain the meaning of the terms mean bond enthalpy and standard enthalpy of formation. Mean bond enthalpy... Standard enthalpy of formation... (5) (b) Some mean bond enthalpies are given below.

Διαβάστε περισσότερα

A life-table metamodel to support management of data deficient species, exemplified in sturgeons and shads. Electronic Supplementary Material

A life-table metamodel to support management of data deficient species, exemplified in sturgeons and shads. Electronic Supplementary Material A life-table metamodel to support management of data deficient species, exemplified in sturgeons and shads Electronic Supplementary Material Ivan Jarić 1,2*, Jörn Gessner 1 and Mirjana Lenhardt 3 1 Leibniz-Institute

Διαβάστε περισσότερα

2 PbO 2. Pb 3 O 4 Sn. Ti/SnO 2 -Sb 2 O 4 -CF/PbO x SnO 2 -Sb PbO 2. Sn-Sb 1:1. 1 h. Sn:Sb=10:1. PbO 2 - CeO 2 PbO 2. [8] SnO 2 +Sb 2 O 4 _

2 PbO 2. Pb 3 O 4 Sn. Ti/SnO 2 -Sb 2 O 4 -CF/PbO x SnO 2 -Sb PbO 2. Sn-Sb 1:1. 1 h. Sn:Sb=10:1. PbO 2 - CeO 2 PbO 2. [8] SnO 2 +Sb 2 O 4 _ 41 Vol.41, No. 01 RARE METAL MATERIALS AND ENGINEERING March 01 Pb O 4 PbO ( 710049) SnO -Sb Pb O 4 Pb O 4 100.5 h 970 h XRF XRD SEM Pb O 4 PbO PbO TG146.1 + A 100-185X(01)0-046-05 [1,] 1 PbO PbO Sn-Sb

Διαβάστε περισσότερα

22 .5 Real consumption.5 Real residential investment.5.5.5 965 975 985 995 25.5 965 975 985 995 25.5 Real house prices.5 Real fixed investment.5.5.5 965 975 985 995 25.5 965 975 985 995 25.3 Inflation

Διαβάστε περισσότερα

Aluminum Electrolytic Capacitors

Aluminum Electrolytic Capacitors Aluminum Electrolytic Capacitors Snap-In, Mini., 105 C, High Ripple APS TS-NH ECE-S (G) Series: TS-NH Features Long life: 105 C 2,000 hours; high ripple current handling ability Wide CV value range (47

Διαβάστε περισσότερα

GPGPU. Grover. On Large Scale Simulation of Grover s Algorithm by Using GPGPU

GPGPU. Grover. On Large Scale Simulation of Grover s Algorithm by Using GPGPU GPGPU Grover 1, 2 1 3 4 Grover Grover OpenMP GPGPU Grover qubit OpenMP GPGPU, 1.47 qubit On Large Scale Simulation of Grover s Algorithm by Using GPGPU Hiroshi Shibata, 1, 2 Tomoya Suzuki, 1 Seiya Okubo

Διαβάστε περισσότερα

[4] 1.2 [5] Bayesian Approach min-max min-max [6] UCB(Upper Confidence Bound ) UCT [7] [1] ( ) Amazons[8] Lines of Action(LOA)[4] Winands [4] 1

[4] 1.2 [5] Bayesian Approach min-max min-max [6] UCB(Upper Confidence Bound ) UCT [7] [1] ( ) Amazons[8] Lines of Action(LOA)[4] Winands [4] 1 1,a) Bayesian Approach An Application of Monte-Carlo Tree Search Algorithm for Shogi Player Based on Bayesian Approach Daisaku Yokoyama 1,a) Abstract: Monte-Carlo Tree Search (MCTS) algorithm is quite

Διαβάστε περισσότερα

Optimizing Microwave-assisted Extraction Process for Paprika Red Pigments Using Response Surface Methodology

Optimizing Microwave-assisted Extraction Process for Paprika Red Pigments Using Response Surface Methodology 2012 34 2 382-387 http / /xuebao. jxau. edu. cn Acta Agriculturae Universitatis Jiangxiensis E - mail ndxb7775@ sina. com 212018 105 W 42 2 min 0. 631 TS202. 3 A 1000-2286 2012 02-0382 - 06 Optimizing

Διαβάστε περισσότερα

Correction of chromatic aberration for human eyes with diffractive-refractive hybrid elements

Correction of chromatic aberration for human eyes with diffractive-refractive hybrid elements 5 5 2012 10 Chinese Optics Vol. 5 No. 5 Oct. 2012 1674-2915 2012 05-0525-06 - * 100190-14 - - 14. 51 μm 81. 4 μm - 1. 64 μm / O436. 1 TH703 A doi 10. 3788 /CO. 20120505. 0525 Correction of chromatic aberration

Διαβάστε περισσότερα

Aquinas College. Edexcel Mathematical formulae and statistics tables DO NOT WRITE ON THIS BOOKLET

Aquinas College. Edexcel Mathematical formulae and statistics tables DO NOT WRITE ON THIS BOOKLET Aquinas College Edexcel Mathematical formulae and statistics tables DO NOT WRITE ON THIS BOOKLET Pearson Edexcel Level 3 Advanced Subsidiary and Advanced GCE in Mathematics and Further Mathematics Mathematical

Διαβάστε περισσότερα

Phys460.nb Solution for the t-dependent Schrodinger s equation How did we find the solution? (not required)

Phys460.nb Solution for the t-dependent Schrodinger s equation How did we find the solution? (not required) Phys460.nb 81 ψ n (t) is still the (same) eigenstate of H But for tdependent H. The answer is NO. 5.5.5. Solution for the tdependent Schrodinger s equation If we assume that at time t 0, the electron starts

Διαβάστε περισσότερα

LUO, Hong2Qun LIU, Shao2Pu Ξ LI, Nian2Bing

LUO, Hong2Qun LIU, Shao2Pu Ξ LI, Nian2Bing 2003 61 3, 435 439 ACTA CHIMICA SINICA Vol 61, 2003 No 3, 435 439 2 ΞΞ ( 400715), 2, 2, 2, 3/ 2 2,, 2,, Ne w Methods for the Determination of the Inclusion Constant between Procaine Hydrochloride and 2Cyclodextrin

Διαβάστε περισσότερα

Eects of Gas-Surface Interaction Model in Hypersonic Rareed Gas Flow

Eects of Gas-Surface Interaction Model in Hypersonic Rareed Gas Flow 4 D-5 Eects of Gas-Surface Interaction Model in Hypersonic Rareed Gas Flow,, 3--, E-mail tsuboi@ab.eng.isas.ac.jp, 7-3-, E-mail ymats@mech.t.u-tokyo.ac.jp Nobuyuki Tsuboi, Institute of Space and Astronautical

Διαβάστε περισσότερα

Formation mechanism of dynamic impact failure zone of super dynamic water inrush in coal mine

Formation mechanism of dynamic impact failure zone of super dynamic water inrush in coal mine t D W ET K E TD74 A 1000 4548(2011)11 1726 08 (1984 ) E-mail: qweiqlm@163.com Formation mechanism of dynamic impact failure zone of super dynamic water inrush in coal mine QIAO Wei 1, 2, LI Wen-ping 1,

Διαβάστε περισσότερα

Research on Economics and Management

Research on Economics and Management 36 5 2015 5 Research on Economics and Management Vol. 36 No. 5 May 2015 490 490 F323. 9 A DOI:10.13502/j.cnki.issn1000-7636.2015.05.007 1000-7636 2015 05-0052 - 10 2008 836 70% 1. 2 2010 1 2 3 2015-03

Διαβάστε περισσότερα

ΖΩΝΟΠΟΙΗΣΗ ΤΗΣ ΚΑΤΟΛΙΣΘΗΤΙΚΗΣ ΕΠΙΚΙΝΔΥΝΟΤΗΤΑΣ ΣΤΟ ΟΡΟΣ ΠΗΛΙΟ ΜΕ ΤΗ ΣΥΜΒΟΛΗ ΔΕΔΟΜΕΝΩΝ ΣΥΜΒΟΛΟΜΕΤΡΙΑΣ ΜΟΝΙΜΩΝ ΣΚΕΔΑΣΤΩΝ

ΖΩΝΟΠΟΙΗΣΗ ΤΗΣ ΚΑΤΟΛΙΣΘΗΤΙΚΗΣ ΕΠΙΚΙΝΔΥΝΟΤΗΤΑΣ ΣΤΟ ΟΡΟΣ ΠΗΛΙΟ ΜΕ ΤΗ ΣΥΜΒΟΛΗ ΔΕΔΟΜΕΝΩΝ ΣΥΜΒΟΛΟΜΕΤΡΙΑΣ ΜΟΝΙΜΩΝ ΣΚΕΔΑΣΤΩΝ EΘΝΙΚΟ ΜΕΤΣΟΒΙΟ ΠΟΛΥΤΕΧΕΙΟ Τμήμα Μηχανικών Μεταλλείων-Μεταλλουργών ΖΩΝΟΠΟΙΗΣΗ ΤΗΣ ΚΑΤΟΛΙΣΘΗΤΙΚΗΣ ΕΠΙΚΙΝΔΥΝΟΤΗΤΑΣ ΜΕ ΤΗ ΣΥΜΒΟΛΗ ΔΕΔΟΜΕΝΩΝ ΣΥΜΒΟΛΟΜΕΤΡΙΑΣ ΜΟΝΙΜΩΝ ΣΚΕΔΑΣΤΩΝ ΔΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ Κιτσάκη Μαρίνα

Διαβάστε περισσότερα

Simplex Crossover for Real-coded Genetic Algolithms

Simplex Crossover for Real-coded Genetic Algolithms Technical Papers GA Simplex Crossover for Real-coded Genetic Algolithms 47 Takahide Higuchi Shigeyoshi Tsutsui Masayuki Yamamura Interdisciplinary Graduate school of Science and Engineering, Tokyo Institute

Διαβάστε περισσότερα

Numerical simulation of Earth s gravitational field recovery from SST based on the energy conservation principle

Numerical simulation of Earth s gravitational field recovery from SST based on the energy conservation principle 49 3 2006 5 CHINESE JOURNAL OF GEOPHYSICS Vol 49, No 3 May, 2006, -, 2006, 49 (3) 712 717 Zheng W, Shao C G, Luo J, et al Numerical simulation of Earth s gravitational field recovery from SST based on

Διαβάστε περισσότερα

Application of Mohr-Coulomb yield criterion in geo-technical engineering

Application of Mohr-Coulomb yield criterion in geo-technical engineering 29 4 2010 12 GLOBAL GEOLOGY Vol. 29 No. 4 Dec. 2010 1004-5589 2010 04-0633 - 07 Mohr-Coulomb 1 2 3 1. 130026 2. 130031 3. 100024 Tresca Mises Mohr-Coulomb Mohr-Coulomb Mohr-Coulomb Mohr-Coulomb Mohr-Coulomb

Διαβάστε περισσότερα

Reminders: linear functions

Reminders: linear functions Reminders: linear functions Let U and V be vector spaces over the same field F. Definition A function f : U V is linear if for every u 1, u 2 U, f (u 1 + u 2 ) = f (u 1 ) + f (u 2 ), and for every u U

Διαβάστε περισσότερα

Numerical Analysis FMN011

Numerical Analysis FMN011 Numerical Analysis FMN011 Carmen Arévalo Lund University carmen@maths.lth.se Lecture 12 Periodic data A function g has period P if g(x + P ) = g(x) Model: Trigonometric polynomial of order M T M (x) =

Διαβάστε περισσότερα

ΠΣΤΥΙΑΚΗ ΔΡΓΑΙΑ. Μειέηε Υξόλνπ Απνζηείξσζεο Κνλζέξβαο κε Τπνινγηζηηθή Ρεπζηνδπλακηθή. Αζαλαζηάδνπ Βαξβάξα

ΠΣΤΥΙΑΚΗ ΔΡΓΑΙΑ. Μειέηε Υξόλνπ Απνζηείξσζεο Κνλζέξβαο κε Τπνινγηζηηθή Ρεπζηνδπλακηθή. Αζαλαζηάδνπ Βαξβάξα ΣΔΥΝΟΛΟΓΙΚΟ ΔΚΠΑΙΓΔΤΣΙΚΟ ΙΓΡΤΜΑ ΘΔΑΛΟΝΙΚΗ ΥΟΛΗ ΣΔΥΝΟΛΟΓΙΑ ΣΡΟΦΙΜΩΝ & ΓΙΑΣΡΟΦΗ ΣΜΗΜΑ ΣΔΥΝΟΛΟΓΙΑ ΣΡΟΦΙΜΩΝ ΠΣΤΥΙΑΚΗ ΔΡΓΑΙΑ Μειέηε Υξόλνπ Απνζηείξσζεο Κνλζέξβαο κε Τπνινγηζηηθή Ρεπζηνδπλακηθή Αζαλαζηάδνπ Βαξβάξα

Διαβάστε περισσότερα

mm CECS159. Vol. 36 No. 8 JOURNAL OF BEIJING UNIVERSITY OF TECHNOLOGY. Aug

mm CECS159. Vol. 36 No. 8 JOURNAL OF BEIJING UNIVERSITY OF TECHNOLOGY. Aug 36 2010 8 8 Vol 36 No 8 JOURNAL OF BEIJING UNIVERSITY OF TECHNOLOGY Aug 2010 1 2 1 1 1 1 1 100124 2 100124 3 1 5 1 /5 230 115 77 2 TU 375 A 0254-0037 2010 08-1059 - 10 1-3 20 70-4-5 6 4 1 2 2 2 1 2 2 3

Διαβάστε περισσότερα

* ** *** *** Jun S HIMADA*, Kyoko O HSUMI**, Kazuhiko O HBA*** and Atsushi M ARUYAMA***

* ** *** *** Jun S HIMADA*, Kyoko O HSUMI**, Kazuhiko O HBA*** and Atsushi M ARUYAMA*** J. Jpn. Soc. Soil Phys. No. +*2, p. +3,2,**2 * ** *** *** Influence Area of Stem Flow on a Soil of Deciduous Forest Floor by Electric Resistivity Survey and the Evaluation of Groundwater Recharge through

Διαβάστε περισσότερα

A System Dynamics Model on Multiple2Echelon Control

A System Dynamics Model on Multiple2Echelon Control 2007 9 9 :100026788 (2007) 0920107208 1, 1, 1, 2 (11, 100876 ;21, 100044) :..,,.,.,. : ;;; : TP39119 : A A System Dynamics Model on Multiple2Echelon Control YANG Tian2jian 1, LV Ting2jie 1, ZHANG Xiao2hang

Διαβάστε περισσότερα

Buried Markov Model Pairwise

Buried Markov Model Pairwise Buried Markov Model 1 2 2 HMM Buried Markov Model J. Bilmes Buried Markov Model Pairwise 0.6 0.6 1.3 Structuring Model for Speech Recognition using Buried Markov Model Takayuki Yamamoto, 1 Tetsuya Takiguchi

Διαβάστε περισσότερα

Study on Re-adhesion control by monitoring excessive angular momentum in electric railway traction

Study on Re-adhesion control by monitoring excessive angular momentum in electric railway traction () () Study on e-adhesion control by monitoring excessive angular momentum in electric railway traction Takafumi Hara, Student Member, Takafumi Koseki, Member, Yutaka Tsukinokizawa, Non-member Abstract

Διαβάστε περισσότερα

A summation formula ramified with hypergeometric function and involving recurrence relation

A summation formula ramified with hypergeometric function and involving recurrence relation South Asian Journal of Mathematics 017, Vol. 7 ( 1): 1 4 www.sajm-online.com ISSN 51-151 RESEARCH ARTICLE A summation formula ramified with hypergeometric function and involving recurrence relation Salahuddin

Διαβάστε περισσότερα

Parametrized Surfaces

Parametrized Surfaces Parametrized Surfaces Recall from our unit on vector-valued functions at the beginning of the semester that an R 3 -valued function c(t) in one parameter is a mapping of the form c : I R 3 where I is some

Διαβάστε περισσότερα

ΜΑΘΗΜΑΤΙΚΗ ΠΡΟΣΟΜΟΙΩΣΗ ΤΗΣ ΔΥΝΑΜΙΚΗΣ ΤΟΥ ΕΔΑΦΙΚΟΥ ΝΕΡΟΥ ΣΤΗΝ ΠΕΡΙΠΤΩΣΗ ΑΡΔΕΥΣΗΣ ΜΕ ΥΠΟΓΕΙΟΥΣ ΣΤΑΛΑΚΤΗΦΟΡΟΥΣ ΣΩΛΗΝΕΣ ΣΕ ΔΙΑΣΤΡΩΜΕΝΑ ΕΔΑΦΗ

ΜΑΘΗΜΑΤΙΚΗ ΠΡΟΣΟΜΟΙΩΣΗ ΤΗΣ ΔΥΝΑΜΙΚΗΣ ΤΟΥ ΕΔΑΦΙΚΟΥ ΝΕΡΟΥ ΣΤΗΝ ΠΕΡΙΠΤΩΣΗ ΑΡΔΕΥΣΗΣ ΜΕ ΥΠΟΓΕΙΟΥΣ ΣΤΑΛΑΚΤΗΦΟΡΟΥΣ ΣΩΛΗΝΕΣ ΣΕ ΔΙΑΣΤΡΩΜΕΝΑ ΕΔΑΦΗ ΓΕΩΠΟΝΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΑΘΗΝΩΝ ΤΜΗΜΑ ΑΞΙΟΠΟΙΗΣΗΣ ΦΥΣΙΚΩΝ ΠΟΡΩΝ ΚΑΙ ΓΕΩΡΓΙΚΗΣ ΜΗΧΑΝΙΚΗΣ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ ΑΕΙΦΟΡΙΚΗ ΔΙΑΧΕΙΡΙΣΗ ΥΔΑΤΙΚΩΝ ΠΟΡΩΝ Δημήτριος Πάντζαλης Πτυχιούχος Γεωπόνος Α.Π.Θ.

Διαβάστε περισσότερα

Journal of South China University of Technology Natural Science Edition. ADAMS-Matlab /Simulink . 1. f θ = v fsin γ + l rγ

Journal of South China University of Technology Natural Science Edition. ADAMS-Matlab /Simulink . 1. f θ = v fsin γ + l rγ 44 12 2016 12 Journal of South China University of Technology Natural Science Edition Vol 44 No 12 December 2016 1000-565X201612-0074-07 * 100083 ADAMS ADAMS-Matlab /Simulink 10% 90% U461 1 doi10 3969

Διαβάστε περισσότερα

46 2. Coula Coula Coula [7], Coula. Coula C(u, v) = φ [ ] {φ(u) + φ(v)}, u, v [, ]. (2.) φ( ) (generator), : [, ], ; φ() = ;, φ ( ). φ [ ] ( ) φ( ) []

46 2. Coula Coula Coula [7], Coula. Coula C(u, v) = φ [ ] {φ(u) + φ(v)}, u, v [, ]. (2.) φ( ) (generator), : [, ], ; φ() = ;, φ ( ). φ [ ] ( ) φ( ) [] 2 Chinese Journal of Alied Probability and Statistics Vol.26 No.5 Oct. 2 Coula,2 (,, 372; 2,, 342) Coula Coula,, Coula,. Coula, Coula. : Coula, Coula,,. : F83.7..,., Coula,,. Coula Sklar [],,, Coula.,

Διαβάστε περισσότερα

«ΑΝΑΠΣΤΞΖ ΓΠ ΚΑΗ ΥΩΡΗΚΖ ΑΝΑΛΤΖ ΜΔΣΔΩΡΟΛΟΓΗΚΩΝ ΓΔΓΟΜΔΝΩΝ ΣΟΝ ΔΛΛΑΓΗΚΟ ΥΩΡΟ»

«ΑΝΑΠΣΤΞΖ ΓΠ ΚΑΗ ΥΩΡΗΚΖ ΑΝΑΛΤΖ ΜΔΣΔΩΡΟΛΟΓΗΚΩΝ ΓΔΓΟΜΔΝΩΝ ΣΟΝ ΔΛΛΑΓΗΚΟ ΥΩΡΟ» ΓΔΩΠΟΝΗΚΟ ΠΑΝΔΠΗΣΖΜΗΟ ΑΘΖΝΩΝ ΣΜΗΜΑ ΑΞΙΟΠΟΙΗΗ ΦΤΙΚΩΝ ΠΟΡΩΝ & ΓΕΩΡΓΙΚΗ ΜΗΥΑΝΙΚΗ ΣΟΜΕΑ ΕΔΑΦΟΛΟΓΙΑ ΚΑΙ ΓΕΩΡΓΙΚΗ ΥΗΜΕΙΑ ΕΙΔΙΚΕΤΗ: ΕΦΑΡΜΟΓΕ ΣΗ ΓΕΩΠΛΗΡΟΦΟΡΙΚΗ ΣΟΤ ΦΤΙΚΟΤ ΠΟΡΟΤ «ΑΝΑΠΣΤΞΖ ΓΠ ΚΑΗ ΥΩΡΗΚΖ ΑΝΑΛΤΖ ΜΔΣΔΩΡΟΛΟΓΗΚΩΝ

Διαβάστε περισσότερα

5.4 The Poisson Distribution.

5.4 The Poisson Distribution. The worst thing you can do about a situation is nothing. Sr. O Shea Jackson 5.4 The Poisson Distribution. Description of the Poisson Distribution Discrete probability distribution. The random variable

Διαβάστε περισσότερα

ΕΘΝΙΚΟ ΜΕΤΣΟΒΙΟ ΠΟΛΥΤΕΧΝΕΙΟ

ΕΘΝΙΚΟ ΜΕΤΣΟΒΙΟ ΠΟΛΥΤΕΧΝΕΙΟ ΕΘΝΙΚΟ ΜΕΤΣΟΒΙΟ ΠΟΛΥΤΕΧΝΕΙΟ ΣΧΟΛΗ ΠΟΛΙΤΙΚΩΝ ΜΗΧΑΝΙΚΩΝ ΤΟΜΕΑΣ ΟΜΟΣΤΑΤΙΚΗΣ ΕΡΓΑΣΤΗΡΙΟ ΜΕΤΑΛΛΙΚΩΝ ΚΑΤΑΣΚΕΥΩΝ ιπλωµατική Εργασία «ΙΕΡΕΥΝΗΣΗ ΑΛΛΗΛΕΠΙ ΡΑΣΗΣ ΚΑΘΟΛΙΚΟΥ ΚΑΙ ΤΟΠΙΚΟΥ ΑΝΕΛΑΣΤΙΚΟΥ ΛΥΓΙΣΜΟΥ ΜΕ ΤΗ ΜΕΘΟ

Διαβάστε περισσότερα

Vol. 38 No Journal of Jiangxi Normal University Natural Science Nov. 2014

Vol. 38 No Journal of Jiangxi Normal University Natural Science Nov. 2014 38 6 Vol 38 No 6 204 Journal o Jiangxi Normal UniversityNatural Science Nov 204 000-586220406-055-06 2 * 330022 Nevanlinna 2 2 2 O 74 52 0 B j z 0j = 0 φz 0 0 λ - φ= C j z 0j = 0 ab 0 arg a arg b a = cb0

Διαβάστε περισσότερα

Ι ΑΚΤΟΡΙΚΗ ΙΑΤΡΙΒΗ. Χρήστος Αθ. Χριστοδούλου. Επιβλέπων: Καθηγητής Ιωάννης Αθ. Σταθόπουλος

Ι ΑΚΤΟΡΙΚΗ ΙΑΤΡΙΒΗ. Χρήστος Αθ. Χριστοδούλου. Επιβλέπων: Καθηγητής Ιωάννης Αθ. Σταθόπουλος ΕΘΝΙΚΟ ΜΕΤΣΟΒΙΟ ΠΟΛΥΤΕΧΝΕΙΟ ΣΧΟΛΗ ΗΛΕΚΤΡΟΛΟΓΩΝ ΜΗΧΑΝΙΚΩΝ ΚΑΙ ΜΗΧΑΝΙΚΩΝ ΥΠΟΛΟΓΙΣΤΩΝ ΤΟΜΕΑΣ ΗΛΕΚΤΡΙΚΗΣ ΙΣΧΥΟΣ ΕΡΓΑΣΤΗΡΙΟ ΥΨΗΛΩΝ ΤΑΣΕΩΝ ΣΥΜΒΟΛΗ ΣΤΗ ΜΕΛΕΤΗ TΩΝ ΚΑΘΟ ΙΚΩΝ ΑΛΕΞΙΚΕΡΑΥΝΩΝ Ι ΑΚΤΟΡΙΚΗ ΙΑΤΡΙΒΗ Χρήστος

Διαβάστε περισσότερα

Research on the Environmental Impact Factors of Electromagnetic Radiation from High - speed Railway

Research on the Environmental Impact Factors of Electromagnetic Radiation from High - speed Railway 2013 8 8 179 JOURNAL OF RAILWAY ENGINEERING SOCIETY Aug 2013 NO. 8 Ser. 179 1006-2106 2013 08-0088 - 06 430063 1 2 3 4 X5 A Research on the Environmental Impact Factors of Electromagnetic Radiation from

Διαβάστε περισσότερα

Ελαφρές κυψελωτές πλάκες - ένα νέο προϊόν για την επιπλοποιία και ξυλουργική. ΒΑΣΙΛΕΙΟΥ ΒΑΣΙΛΕΙΟΣ και ΜΠΑΡΜΠΟΥΤΗΣ ΙΩΑΝΝΗΣ

Ελαφρές κυψελωτές πλάκες - ένα νέο προϊόν για την επιπλοποιία και ξυλουργική. ΒΑΣΙΛΕΙΟΥ ΒΑΣΙΛΕΙΟΣ και ΜΠΑΡΜΠΟΥΤΗΣ ΙΩΑΝΝΗΣ Ελαφρές κυψελωτές πλάκες - ένα νέο προϊόν για την επιπλοποιία και ξυλουργική ΒΑΣΙΛΕΙΟΥ ΒΑΣΙΛΕΙΟΣ και ΜΠΑΡΜΠΟΥΤΗΣ ΙΩΑΝΝΗΣ Αριστοτέλειο Πανεπιστήµιο Θεσσαλονίκης Σχολή ασολογίας και Φυσικού Περιβάλλοντος,

Διαβάστε περισσότερα

D-Glucosamine-derived copper catalyst for Ullmann-type C- N coupling reaction: theoretical and experimental study

D-Glucosamine-derived copper catalyst for Ullmann-type C- N coupling reaction: theoretical and experimental study Electronic Supplementary Material (ESI) for RSC Advances. This journal is The Royal Society of Chemistry 2016 D-Glucosamine-derived copper catalyst for Ullmann-type C- N coupling reaction: theoretical

Διαβάστε περισσότερα

Supplementary Information

Supplementary Information Electronic upplementary Material (EI) for Photochemical & Photobiological ciences. This journal is The Royal ociety of Chemistry and wner ocieties 214 upplementary Information elective and sensitive fluorescence-shift

Διαβάστε περισσότερα

ADVANCED STRUCTURAL MECHANICS

ADVANCED STRUCTURAL MECHANICS VSB TECHNICAL UNIVERSITY OF OSTRAVA FACULTY OF CIVIL ENGINEERING ADVANCED STRUCTURAL MECHANICS Lecture 1 Jiří Brožovský Office: LP H 406/3 Phone: 597 321 321 E-mail: jiri.brozovsky@vsb.cz WWW: http://fast10.vsb.cz/brozovsky/

Διαβάστε περισσότερα

EXPERIMENTAL AND NUMERICAL STUDY OF A STEEL-TO-COMPOSITE ADHESIVE JOINT UNDER BENDING MOMENTS

EXPERIMENTAL AND NUMERICAL STUDY OF A STEEL-TO-COMPOSITE ADHESIVE JOINT UNDER BENDING MOMENTS NATIONAL TECHNICAL UNIVERSITY OF ATHENS SCHOOL OF NAVAL ARCHITECTURE AND ARINE ENGINEERING SHIPBUILDING TECHNOLOGY LABORATORY EXPERIENTAL AND NUERICAL STUDY OF A STEEL-TO-COPOSITE ADHESIVE JOINT UNDER

Διαβάστε περισσότερα

PACS: Pj, Gg

PACS: Pj, Gg * 1)2) 2) 3) 2) 1) 1) (, 310023 ) 2) (, 315211 ) 3) (, 510006 ) ( 2011 6 16 ; 2011 10 31 ),..,,.,.,. :,,, PACS: 07.05.Pj, 05.45.Gg 1,.,, [1,2].,,, [3,4].,, [5,6].,. [7 9]., [10 17].,.,, [10]., [18 20],

Διαβάστε περισσότερα

Quantitative analysis of damage evolution as recycled concrete approaches fatigue failure

Quantitative analysis of damage evolution as recycled concrete approaches fatigue failure 42 1 ( ) Vol.42 No.1 2011 1 Journal of Central South University (Science and Technology) Jan. 2011 1, 2 2 3 2 (1. 455002 2. 410083 3. 430071) S S S U416.26 A 1672 7207(2011)01 0170 07 Quantitative analysis

Διαβάστε περισσότερα