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8
A path-following approach to guaranteed cost control of complex nonlinear system ; 透過路徑追隨方法設計保證成本控制於複雜非線性系統

Authors: 翁愷貽, Wong, Kai-Yi

Contributors: 淡江大學電機工程學系碩士班, 許駿飛, Hsu, Chun-Fei

Subject Terms: guaranteed cost function, nonconvex, nonlinear system, Path-following, polynomial Lyapunov function, sum of square(SOS), 多項式平方和, 多項式李亞普諾夫函數, 非線性系統, 保證成本控制器, 路徑追隨

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Relation: [1] K.Tanaka and H. O.Wang, Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach. New York, NY, USA: Wiley,2001 [2] G. Feng, ”A survey on analysis and design of model-based fuzzy control systems,” IEEE Trans. Fuzzy Syst.,vol. 14, no.5, pp.676-697, Oct. 2006. [3] H. O. Wang, K. Tanaka and M. F. Griffin, ”An approach to fuzzy control of nonlinear systems,” IEEE Trans. Fuzzy Syst., vol. 4, no. 1, pp. 14-23, 1996 [4] K.Tanaka, H.Yoshida, H.O.Wang, ”A sum of squares approach to stability analysis of polynomial fuzzy systems,” in Proc.Am.Control Conf., New York, Jul.2007, pp.4071-4076. [5] H. K. Lam; M. Narimani; H. Li; H. Liu, ”Stability Analysis of Polynomial-Fuzzy-Model-Based Control Systems switching Polynomial Lyapunov Function,” IEEE Trans. Fuzzy Syst., vol.21, no. 5, pp.800-813, Oct. 2013. [6] K.Tanaka, H.Yoshida, H.O.Wang, ”A New Sum-of-Squares Design Framework for Robust Control of Polynomial Fuzzy Systems With Uncertainties,” in IEEE Trans. Fuzzy Syst., Feb.2016, pp.94-110. 45 [7] K. Tanaka, and H. O. Wang, ”Guaranteed Cost Control of Polynomial Fuzzy Systems via a Sum of Squares Approach,” in Proc. Int. Conf., vol. 39, no. 2, pp. 561-567, Apr. 2009. [8] K. Tanaka, T. Komatsu, H. Ohtake, H. O. Wang, ”Micro helicopter control: LMI approach vs SOS approach”, in Proc. IEEE Int. Conf. Fuzzy Syst.,Hong Kong, Jun. 2008,pp.47-353 [9] M. Narimani; H. K. Lam, ”SOS-Based Stability Analysis of Polynomial Fuzzy-Model-Based Control Systems Via Polynomial Membership Functions”, IEEE Trans. Fuzzy Syst., vol.18, no. 5, pp.862-871, Oct. 2010. [10] S.Prajna, A.Papachristodoulou, P. Seiler, and P.A. Parrilo, SOSTOOLS: Sum of Squares Optimization Toolbox for Matlab,Version 2.00, 2004 [11] S.Prajna(Aug. 2013), SOSOPT: A toolbox for polynomial optimization.[Online]. Available:http://arxiv.org/pdf/1308.1889v1.pdf [12] G.Balas, A, Packard, P. Seiler, and U. Topcu.(Jul. 2013), Robustness analysis of nonlinear systems.[Online]. Available:http://www.aem.umn.edu/ AerospaceControl/ [13] Y. Nesterov and A. Nemirovskii, Interior-Point Polynomial Algorithms in Convex Programming. Philadelphia, PA, USA: SIAM, 1994. 46 [14] D. Tikk, P. Baranyi, and R. J. Patton, ”Approximation properties of TP model forms and its consequences to TPDC esign framework,” Asian J. Control, vol. 9, no. 3, pp. 221-231, Sep. 2007. [15] S. S. L. Chang and T. K. C. Peng, ”Adaptive guaranteed cost control of systems with uncertain parameters”, IEEE Trans. Autom. Control, vol. 17, no. 4, pp. 474–483, Aug. 1972. [16] B. Chen, X. Liu, S. Tong, and C. Lin, ”Guaranteed cost control of T-S fuzzy systems with state and input delays”, Fuzzy Sets Syst., vol. 158, no. 20, pp. 2251–2267, 2007. [17] J. Yoneyama, ”Robust guaranteed cost control of uncertain fuzzy systems under time-varying sampling”, Appl. Soft Comput., vol. 11, no. 1, pp. 249–255, 2011. [18] Z. P. Wang and H. N. Wu, ”Fuzzy impulsive control for uncertain nonlinear systems with guaranteed cost,” Fuzzy Sets Syst., vol. 302, pp. 143–162, Nov. 2016. [19] Shin, K. and Mckay, N., Minimum-time control of robotic manipulators with geometric path constraints, Automatic Control, IEEE Transactions on, vol. 30, no. 6, pp. 531-541, 1985. [20] K. Tanaka, H. Yoshida, H. Ohtake, and H. O. Wang, ”Stabilization of polynomial fuzzy systems via a sum of squares approach,” in Proc. IEEE Int. Symp. Intell. 47 Control, Singapore, Oct. 2007, pp. 160-165. [21] G. R. Yu and H. T. Huang, ”A sum-of-squares approach to synchronization of chaotic systems with polynomial fuzzy systems,” in Proc. Int. Conf. Fuzzy Theory Appl., Taichung, Taiwan, Nov. 2012, pp. 175 - 180. [22] C. C. Sun, B. Y. Zhu, Q. C. Xu, Y. Ai, ”Stabilization of a Polynomial Chaotic System Based on T-S Fuzzy Model”, IEEE Control and Decision Conf.,Yinchuan, China, Aug. 2016, pp.1071-1075 [23] J. Gallier (2010), The Schur complement and symmetric positive semidefinite (and definite) matrices. [Online]. Available: http://www.academia.edu/download/30748223/schur-comp.pdf; U0002-0308201711053400; http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/114804; http://tkuir.lib.tku.edu.tw:8080/dspace/bitstream/987654321/114804/1/index.html

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10
曾文水庫集水區土壤沖蝕經驗式建構及土壤流失預測研究 ; A study on soil erosion empirical model and prediction of soil loss for Tseng-wen Reservoir watershed

Authors: 楊尚霖, Yang, Shang-Lin

Contributors: 淡江大學土木工程學系碩士班, 張德文, Chang, De-Wen

Subject Terms: 土壤沖蝕, 雨場切割, 多項式回歸, WEPP, GeoWEPP, soil erosion, cutting method, Polynomial Regression

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Relation: 參考文獻 1. Crouch, R. J.(1987),“The relationship of gully sidewall shape to sediment production, Australian Journal of Soil Research”, Vol. 25, pp. 531-539. 2. Carroll, C.andMerton, L. and Burger, P. (2000),“Impact ofvegetative cover and slope on runoff, erosion, and waterquality for field plots on a range of soil and spoil materialson central Queensland coal mines”, Australian Journal ofSoil Research, Vol. 38, pp. 313-327. 3. Eagleson, P.S.(1970),“Dynamic Hydrology. McGraw-Hill” 4. Foster, G.R. (1982),“Modeling the erosion process. In HydrologicModeling of Small Watersheds”, C.T. Haan, H.P. Johnson, and D.L.Brakensiek (Eds.) ASAE Monograph 5, St. Joseph, MI, 297-380. 5. Hufzullah Aksoy and M. Levent Kavvas(2005),“A review of hillslope and watershed scale erosionand sediment transport models”, Catena 64 (2005), 247-271. 6. Haigh, M. J. (1977),“The use of erosion pins in the study ofslope evolution”, B.G.R.G. Technical Bulletins 18, pp. 31-49. 7. 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15
Some integral representations for the products of two polynomials of the certain classes of polynomials ; 兩個同類多項式乘積的積分表示式

Authors: 呂漢軍, Lu, Han-Chun

Contributors: 淡江大學數學學系博士班, 錢傳仁

Subject Terms: 超幾何函數與超幾何多項式, Srivastava多項式, Bedient多項式和廣義Bedient多項式, Cesaro多項式和廣義Cesaro多項式, Shively’s pseudo-Laguerre多項式, 拉格朗日多項式, 雅可比多項式, 拉蓋爾多項式, 貝索多項式和廣義貝索多項式, 赫爾米特多項式, 多重積分表示式, Gamma函數, Eulerian beta積分公式, 線性化關係, Pochhammer符號, Hypergeometric functions and hypergeometric polynomials, Srivastava polynomials, Bedient polynomials and the generalized Bedient polynomials of the first and second kinds, Cesaro polynomials and the generalized Cesaro polynomials, Lagrange polynomials, Shively’s pseudo-Laguerre polynomials, Bessel polynomials and the generalized Bessel polynomials, Jacobi polynomials, Laguerre polynomials, Hermite polynomials, Multiple integral representations, Gamma function, Eulerian beta integral, Linearization relationship, Pochhammer symbol

Relation: References [1] W. A. Al-Salam, The Bessel polynomials, Duke Math. J. 24 (1957), 529–545. [2] A. Altın, E. Erku¸s and M. A. ¨ Ozarslan, Families of linear generating functions for polynomials in two variables, Integral Transforms Spec. Funct. 17 (2006), 315 320. [3] P. Appell and J. Kamp´e de F´eriet, Fonctions hyp´ergeom´etriques et hyperspheriques, Polynˆomes d’Hermite Gauthier-Villars, Paris, 1926. [4] W. N. Bailey, An integral representation for the product of two Hermite polynomials, J. London Math. Soc. (1938) s1-13 (3), 202-203. [5] L. Carlitz, An integral for the product of two Laguerre polynomials, Boll. Un.Mat. Ital. (3) 17 (1962) 25–28. [6] W.-C. C. Chan, C.-J. Chyan and H. M. Srivastava, The lagrange polynomials in several variables, Integral Transform. Spec. Funct., 12 (2001), 139–148. [7] S. K. Chatterjea, An integral representation for the product of two generalized Bessel polynomials, Boll. Un. Mat. Ital. (3) 18 (1963) 377–381. [8] S. K. Chatterjea, Integral representation for the product of two Jacobi polynomials, J. London Math. Soc. 39 (1964) 753-756. [9] S. K. Chatterjea, Some generating functions, Duke Math. J. 32 (1965), 563–564. [10] K.-Y. Chen, S.-J. Liu and H. M. Srivastava, Some new results for the Lagrange polynomials in several variables. ANZIAM J., 49 (2007), 243–258. [11] A. Erd´elyi, W. Magnus, F. Oberhettinger and F. G.Tricomi, Higher Transcendental Functions, Vol. I, McGraw Hill Book Company, New York, Toronto and London, 1953. [12] A. Erd´elyi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Higher Transcendental Functions, Vol. III, McGraw Hill Book Company, New York, Toronto and London, 1955. [13] E. Erku¸s and H. M. Srivastava, A unified presentation of some families of multivariable polynomials, Integral Transforms Spec. Funct. 17 (2006), 267–273. [14] E. Erku¸s, O. Duman and H. M. Srivastava, Statistical approximation of certain positive linear operators by means of the Chan-Chyan-Srivastava polynomials, Appl. Math. Comput. 182 (2006), 213–222. [15] H. Exton, Multiple Hypergeometric Functions and Applicaions. John Wiley and Sons (Halsted Press), New York; Ellis Horwood, Chichester (1976). [16] B. Gonz´alez, J. Matera and H. M. Srivastava, Some q generating functions and associated generalized hypergeometric polynomials, Math. Comput. Modelling 34 (1/2) (2001), 133–175. [17] E. Grosswald, Bessel Polynomials, Lecture Notes in Mathematics, Vol. 698, Springer-Verlag, Berlin, Heidelberg and New York, 1978. [18] W. T. Howell, Integral representations for products of Weber’s parabolic cylinder functions, Phil. May. (7), 25 (1938), 456–458. [19] M. A. Khan, A. K. Shukla, On Lagrange’s polynomials of three variables. Proyecciones 17 (1998), 227–235. [20] H. L. Krall and O. Frink, A new class of orthogonal polynomials: The Bessel polynomials, Trans. Amer. Math. Soc. 65 (1949), 100–115. [21] G. Lauricella, Sulle funzioni ipergeometriche a pi´u variabili, Rend. Circ. Mat. Palermo, 7 (1893), 111–158. [22] S.-D. Lin, Y.-S. Chao and H. M. Srivastava, Some families of hypergeometric polynomials and associated integral representations, J. Math. Anal. Appl. 294 (2004), 399–411. [23] S.-D. Lin, S.-J. Liu and H. M. Srivastava, Some families of hypergeometric polynomials and associated multiple integral representations, Integral Transforms Spec. Funct. 22 (2011), 403–414. [24] S.-D. Lin, H. M. Srivastava and P.-Y. Wang, Some families of hypergeometric transformations and generating relations, Math. Comput. Modelling 36 (2002), 445–459. [25] S.-D. Lin, S.-J. Liu, H.-C. Lu and H. M. Srivastava, Integral representations for the generalized Bedient polynomials and the generalized Ces`aro polynomials, 218 (2011), 1330–1341. [26] S.-D. Lin, H. M. Srivastava and P.-Y. Wang, Some mixed multilateral generating relations involving hypergeometric functions, Integral Transforms Spec. Funct. 16 (2005), 609–614. [27] S.-D. Lin, S.-T. Tu and H. M. Srivastava, Some generating functions involving the Stirling numbers of the second kind, Rend. Sem. Mat. Univ. Politec. Torino 59 (2001), 199–224. [28] S.-J. Liu, C.-J. Chyan, H.-C. Lu and H. M. Srivastava, Multiple integral representations for some families of hypergeometric and other polynomials, Math. Comput. Modelling 54 (2011), 1420–1427. [29] S.-J. Liu, Bilateral generating functions for the Lagrange polynomials and the Lauricella functions, Integral Transforms Spec. Funct., 20 (7) (2009), 519–527. [30] W. Magnus, F. Oberhettinger and R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics, Die Grundlehren der Mathematischen Wissenschften in Einzeldarstellungen mit Besonderer Ber¨ucksichtigung der Anwendungsgebiete, Band 52, Third enlarged edition, Springer-Verlag, Berlin, New York and Heidelberg, 1966. [31] H. L. Manocha, An integral representation for the product of two generalized Rice’s polynomials, Collect. Math. 20 (1969), 270–276. [32] E. ¨ Ozergin, M. A. ¨ Ozarslan and H. M. Srivastava, Some families of generating functions for a class of bivariate polynomials, Math. Comput. Modelling 50 (2009), 1113–1120. [33] M. I. Qureshi, M. Sadiq Khan and M. A. Pathan, Some multiple Gaussian hypergeometric generalizations of Buschman-Srivastava theorem. Int. J. Math. Math. Sci., (2005), 143–153. [34] E. D. Rainville, Special Functions, Macmillan Company, New York, 1960; Reprinted by Chelsea Publishing Company, Bronx, New York, 1971. [35] H. M. Srivastava, A contour integral involving Fox’s H-function, Indian J. Math. 14 (1972), 1–6. [36] H. M. Srivastava, Some orthogonal polynomials representing the energy spectral functions for a family of isotropic turbulence fields, Zeitschr. Angew. Math. Mech. 64 (1984), 255–257. [37] H. M. Srivastava, Some integral representations for the Jacobi and related hypergeometric polynomials, Rev. Acad. Canaria Cienc. 14 (2002), 25–34. [38] H. M. Srivastava and C. M. Joshi, Integral representation for the product of a class of generalized hypergeometric polynomials, Acad. Roy. Belg. Bull. Cl. Sci. (Ser. 5) 60 (1974), 919–926. [39] H. M. Srivastava and H. L. Manocha, A Treatise on Generating Functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane and Toronto, 1984. [40] H. M. Srivastava, M. A. ¨ Ozarslan and C. Kaanoglu, Some families of generating functions for a certain class of three-variable polynomials, Integral Transforms Spec. Funct. 21 (2010), 885–896. [41] H. M. Srivastava and M. C. Daoust, Certain generalized Neumann expansions associated with the Kamp´e de F´eriet function, Nederl. Akad. Wetensch. Indag. Math. 31 (1969), 449–457. [42] H. M. Srivastava and P. W. Karlsson, Multiple Gaussian hypergeometric series, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane and Toronto, 1985. [43] H. M. Srivastava and R. Panda, An integral representation for the product of two Jacobi polynomials, J. London Math. Soc. (Ser. 2) 12 (1976), 419–425. [44] H. M. Srivastava, A note on the integral representation for the product of two generalized Rice polynomials, Collect. Math. 24 (1973), 117–121. [45] G. Szeg¨o, Orthogonal Polynomials, Fourth edition, Amererican Mathematical Society Colloquium Publications, Vol. 23, American Mathematical Society, Providence, Rhode Island, 1975. [46] G. N. Watson, A note on the polynomials of Hermite and Laguerre, J. London Math. Soc. (1938) s1-13 (3), 204–209. [47] G. N. Watson, A note on the polynomials of Hermite and Laguerre, London Math. Soc, 13 (1938), 204–209. [48] E. T. Whittaker and G. N. Watson, A Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; With an Account of the Principal Transcendental Functions, Fourth edition, Cambridge University Press, Cambridge, London and New York, 1927.; U0002-2206201220451900; http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/87458; http://tkuir.lib.tku.edu.tw:8080/dspace/bitstream/987654321/87458/-1/index.html

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18
多變數的拉格朗日多項式之研究 ; multivariable lagrange polynomials

Authors: 劉鑠榮, Liu, Shuoh-jung

Contributors: 淡江大學數學學系博士班, 陳功宇, Chen, Kung-yu

Subject Terms: 拉格朗日多項式, 雅可比多項式, 拉蓋爾多項式, 超幾何多項式, 雙側生成函數, Lauricella 函數, Appell 函數, Lagrange polynomials, Jacobi polynomials, Laguerre polynomials, Hypergeometric polynomials, Bilateral generating functions, Lauricella functions, Appell functions

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Relation: [1] George E. Andrews, Richard Askey and Ranjan Roy, Special Functions, Cambridge Univ. Press, 1999. [2] L.C. Andrews, Special Functions for Engineers and Applied Mathematicians. Macmillan Company, New York, 1985. [3] P. Appell, J. Kamp´e de F´eriet, Fonctions Hyperg´eom´etriques et Hyperg´eom´etriques: Polynˆomes d’Hermite, Gauthier-Villars, Paris, 1926. [4] R. Askey, A look at the Bateman project, Contemp. Math. 169 (1994), pp.29-43. [5] W.N.Bailey, Products of generalized hypergeometric series, Proc. London Math. Soc. (2) 28 (1928), pp.242-254. [6] W.N.Bailey, Generalized Hypergeometric series, Cambridge: Cambridge Univ. Press, 1935. [7] W.N.Bailey, Transformations of generalized hypergeometric series, Proc. London Math. Soc. (2) 29 (1929), pp.495-502. [8] H.Bavinck, A new result for Laguerre polynomials, J. Phys. A: Math. Gen. 29 (1996), L277-L279. [9] H.Bavinck, A direct approach to Koekoek’s differential equation for generalized Laguerre polynomials, Acta Math. Hungar. 66 (3) (1995), pp.247-253. [10] R.G. Buschman and H. M. Srivastava, Series identities and reducibility of Kamp´e de F´eriet functions,Math. Proc. Cambridge Philos. Soc. 91(1982), pp.435-440. [11] J. L. Burchnall and T. W. Chaundy, Expansions of Appell’s double hyper-geometric functions (II). Quart. J. Math. Oxford Ser.12 (1941), pp.112-128. [12] W.-Ch.C.Chan, Ch.-J.Chyan and H.M. Srivastava, The Lagrange polynomials in several variables, Integral Transform. Spec. Funct., 12 (2001), pp.139-148. [13] K.Y. Chen, A new summation identity for the Srivastava-Singhal polynomials, J. Math. Anal. Appl. 298 (2004), no. 2, pp.411-417. [14] K.Y. Chen, S.J. Liu and H.M. Srivastava, Some double-series identities and associated generating-function relationships, Applied Mathematics Letters 19 (2006), pp.887-893. [15] K.Y. Chen, S.J. Liu and H.M. Srivastava, Some new results for the Lagrange polynomials in several variables, ANZIAM J. 49 (2007), pp.243-258. [16] K.Y. Chen, H.M. Srivastava, A new result for hypergeometric polynomials, Proceedings of the American Mathematical Society 133 (2005), pp.3295-3302. [17] K.Y. Chen, H.M. Srivastava, Series identities and associated families of generating functions, J. Math. Anal. Appl. 311 (2005), pp.582-599. [18] G. Dattoli, P.E. Ricci and C. Cesarano, The Lagrange polynomials, the associated generalizations, and the umbral calculus, Integral Transform. Spec. Funct., 14(2) (2003), pp.181-186. [19] A. Erd´elyi, W. Magnus, F. Oberhettinger and F. G.Tricomi, Higher Transcendental Functions, Vol.I, McGraw-Hill Book Company, New York, Toronto and London, 1953. [20] A. Erd´elyi, W. Magnus, F. Oberhettinger and F.G. Tricomi, Higher Transcendental Functions, Vol. III, McGraw-Hill Book Company, New York, Toronto and London, 1955. [21] Esra Erku¸s; Abdullah Altın, A note on the Lagrange polynomials in several variables, J. Math. Anal. Appl. 310 (2005), no. 2, pp.338-341. [22] Esra Erku¸s, Oktay Duman, H. M. Srivastava, tatistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials, Appl. Math. Comput. 182 (2006), pp.213-222. [23] Esra Erku¸s , H. M. Srivastava, A unified presentation of some families of multivariable polynomials, Integral Transform. Spec. Funct. 17 (2006), pp.315-320. [24] H. Exton, Multiple Hypergeometric Functions and Applications. John Wiley and Sons (Halsted Press), New York; Ellis Horwood, Chichester (1976). [25] H. Exton, On two Multiple Hypergeometric Functions Related to Lauricella’s F^(n)_D , Jnanabha Sect. A 2 (1972), pp.59-73. [26] B. Gonz´alez, J. Matera, H.M. Srivastava, Some q-generating functions and associated families of generalized hypergeometric polynomials, Math. Comput. Modelling 34 (1- 2) (2001), pp.133-175. [27] J. Kamp´e de F´eriet, Les fonctions hyperg´eom´etriques d’ordre sup´erieur `a deux variables, C.R. Acad. Sci. Paris, 173 (1921), pp.401-404. [28] M. A. Khan; A. K. Shukla; On Lagrange’s polynomials of three variables. Proyecciones 17 (1998), no. 2, pp.227–235. [29] J. Koekoek, R. Koekoek and H.Bavinck, On differential equations for Sobolev-type Laguerre polynomials, Trans. Amer. Math. Soc. 350 (1998), no. 1, pp.347-393. [30] G. Lauricella, Sulle funzioni ipergeometriche a pi`u variabili, Rend. Circ. Mat. Palermo, 7 (1893), pp.111-158. [31] S.J. Liu, Bilateral generating functions for the Lagrange polynomials and the Lauricella functions, Integral Transform. Spec. Funct., 20 (7) (2009), pp.519-527. [32] Qureshi, M. I.; Khan, M. Sadiq; Pathan, M. A. Some multiple Gaussian hypergeometric generalizations of Buschman-Srivastava theorem. Int. J. Math. Math. Sci. 2005 (2005), no. 1, pp.143–153. [33] E. D. Rainville, Special Functions, Macmillan Company, New York, 1960; Reprinted by Chelsea Publishing Company, Bronx, New York, 1971. [34] G. Szeg¨o, Orthogonal Polynomials, Fourth Edition, American Mathematical Society Colloquium Publications, Vol.23, American Mathematical Society, Providence, Rhode Island (1975). [35] H. M. Srivastava and M. C. Daoust, Certain generalized Neumann expansions associated with the Kamp´e de F´eriet function, Nederl. Akad. Wetensch. Indag. Math. 31 (1969), pp.449-457. [36] H.M. Srivastava and J.-L. Lavoie, A certain method of obtaining bilateral generating functions. Nederl. Akad. Wetensch. Proc. Ser. A 78=Indag. Math. 37 (1975), no. 4, pp.304–320. [37] H.M. Srivastava, H.L. Manocha, A Treatise on Generating Functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane, and Toronto, 1984. [38] H. M. Srivastava and M. C. Daoust, On Eularian integrals associated with Kamp´e de F´eriet’s function, Publ. Inst. Math. (Beograd) (Nouvelle s´er.) 9 (23) (1969), pp.199-202. [39] H. M. Srivastava and P. W. Karlsson, Multiple Gaussian hypergeometric series, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane and Toronto, 1985. [40] H.M. Srivastava and R. Panda, An integral representation for the product of two Jacobi polynomials, J. London Math. Soc. (2) 12 (1976), pp. 419-425. [41] H.M. Srivastava, Certain double integrals involving hypergeometric functions, J˜n¯an¯abha Sect. A 1 (1971), pp.1-10. [42] I.Tomescu, Problems in Combinatoriecs and Graph Theory (Translated from the Romanian by R.A.Melter), Wiley-Interscience Series in Discrete Mathematics, A Wiley- Interscience Publication, John Wiley and Sons, New York, Chichester, Brisbane and Toronto, 1985.; U0002-1307200908584000; http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/32877; http://tkuir.lib.tku.edu.tw:8080/dspace/bitstream/987654321/32877/1/

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19
石門水庫集水區土壤沖蝕與水文地文影響因子研究 ; A study on soil erosion and influential hydrologic and geographic factors for Shihmen Reservoir Watershed

Authors: 林韋成, Lin, Wei-Cheng

Contributors: 淡江大學土木工程學系碩士班, 張德文

Subject Terms: 土壤沖蝕, 雨場切割, 多項式回歸, soil erosion, cutting method, WEPP, Minitab, Polynomial Regression

Relation: 1. Fan, J. C. and Lovell, C. W.(1988a), “Slope steepness factor forpredicting erosion on highway slopes,” Transportation Research Record 1188, TRB. National Research Council, Washington, D. C.pp.63-73. 2. Foster, G.R., 1982. Modeling the erosion process. In Hydrologic Modeling of Small Watersheds. C.T. Haan, H.P. Johnson, and D.L. Brakensiek (Eds.) ASAE Monograph 5, St. Joseph, MI, 297-380. 3. Fan, J. C. and Lovell, C. W.(1988b), “The measured slope steepness factor and its theoretical analysis for predicting soil erosion on highway slopes,” the 39th Highway Symposium on Construction to Minimize Environmental Impact, Aston Genesis Resort, Park City,Utah, U.S.A. Aug. 17-19 1988. pp.176-207. 4. Forster, G. R., McCool, D.K., Renard, K. G. and Moldenhauer, W.C.(1981), “Conversion of the Universal Soil Loss Equation to SI metricunits,” Journal of Soil and Water Conservation, 36:355-359. 5. Senay, G. B. and Elliott, R. L.(2000), Forest Ecology and Management, 128: 83-91. 6. USDA-ARS(U.S.Department od Agriculture-Agricultural ResearchService)(2002), Accessed on January. 7. Wischmeier, W. H.(1959), “A rainfall erosion index for a universal soil-loss equation,” Soil Sci. Soc. Am. Proc., 23:246-269. 8. Wischmeier, W. H. and Smith, D. D.(1978), “Predicting Rainfall Erosion Losses: A Guide to Conservation Planting,” U.S. Department of Agriculture handbook, NO.537. 9. Allen W. (1994) The flood of 1993 may rank as the worst weather disaster in U.S. history, St. Louis: St. Louis Post Dispatch; 01B. 10. Amsalu, A. and de Graaff, J. (2006) Farmers’ views of soil erosion problems and their conservation knowledge at Beressa watershed, central highlands of Ethiopia, Agriculture and Human Values, 23: 99-108. 11. Arriaga, F. J. and Lowery, B. (2003) Corn production on an eroded soil: effects of total rainfall and soil water storage, Soil and Tillage Research, 71: 87-93. 12. Blaschke, P. M., Trustrum, N. A., Hicks, D. L. (2000) Impacts of mass movement erosion on land productivity: a review, Progress in Physical Geography, 24(1): 21-52. 13. Brady, N. C. and Weil, R. R. (1996) The nature and properties of soils (11th ed.), New Jersey: Prentice-Hall. 14. Chuanqi, Y., Weizhang, Y., Chunte, L., Xiaozong, H., Fenglin, M., Wanyun, H. (1989) Developing an improved agricultural economy based on ecological relationships in a soil erosion area in the north of China, Agroforestry Systems, 8: 83-90. 15. Fenton, T. E., Kazemi, M., Lauterbach-Barrett, M. A. (2005) Erosional impact on organic matter content and productivity of selected Iowa soils, Soil and Tillage Research, 81: 163-171. 16. Ghosh, S. P., Mohan Kumar, B., Kabeerathumma, S., Nair, G. M. (1989) Productivity, soil fertility and soil erosion under cassava based agroforestry systems, Agroforestry Systems, 8: 67-82. 17. Griffin, D. W., Kellogg, C. A., Shinn, E. A. (2001) Dust in the wind: Long ange transport of dust in the atmosphere and its implications for global public and ecosystem health, Global Change and Human Health, 2(1): 20-33. 18. Gyssels, G., Poesen, J., Bochet, E., Li, Y. 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20
Myocardial Infarction Classification by Morphological Feature Extraction from Big 12-Lead ECG Data

Authors: Weng, Julia Tzu-Ya, Lin, Jyun-Jie, Chen, Yi-Cheng, Chang, Pei-Chann, Julia Tzu-Ya Weng

Contributors: 淡江大學資訊工程學系

Subject Terms: 12-lead ECG, Myocardial infarction, Principal component, Polynomial approximation analysis, Support vector machine

File Description: 604590 bytes; application/pdf

Relation: Lecture Notes in Artificial Intelligence 8643, pp.689-699; The 1st International Workshop on Pattern Mining and Application of Big Data (BigPMA'14); http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/99573; http://tkuir.lib.tku.edu.tw:8080/dspace/bitstream/987654321/99573/2/2014_Myocardial Infarction Classification by Morphological Feature Extraction from Big 12-Lead ECG Data.pdf

Availability: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/99573
http://tkuir.lib.tku.edu.tw:8080/dspace/bitstream/987654321/99573/2/2014_Myocardial Infarction Classification by Morphological Feature Extraction from Big 12-Lead ECG Data.pdf


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