J. Serb. Chem. Soc. 65(12) (2000) UDC : NOTE New values of the polarity factor
|
|
|
- Ἀνίκητος Αγγελίδης
- 5 χρόνια πριν
- Προβολές:
Transcript
1 J. Serb. Chem. Soc. 65(12) (2000) UDC : JSCS 2817 Note NOTE New values of the polarity factor MILO[ D. KUKOLJAC and DU[AN K. GROZDANI] Faculty of Technology and Metallurgy, University of Belgrade, Karnegijeva 4, P. O. Box 494, YU-11001, Belgrade, Yugoslavia (Received 30 December 1999, revised 26 April 2000) New values of the polarity factor for 96 substances are proposed. Estimation procedure is tested on the values of this factor from the original work of Halm and Stiel. 44 Keywords: polarity factor, acentric factor, vapor pressure. Halm and Stiel 44 have proposed following relation for predicting vapor pressure of a polar fluid log p 0 r = (log p 0 r ) (0) + ω(log p 0 r ) (1) + χ (log p 0 r ) (2) (1) where χ is polarity factor similar to the acentric factor for normal fluids. The factor χ is defined to be zero for normal fluids. The values of (log p 0 r ) (0), (log p 0 r ) (1), and (log p 0 r ) (2) vs. temperature are tabulated in original work. The value of (log p 0 r ) (2) was defined to be 1.0 at T r = 0.6, so that χ = log p 0 r Tr =0.6 [(log p 0 r ) (0) + ω(log p 0 r ) (1) ] Tr =0.6 (2) or χ = log p 0 r Tr = ω (3) RESULTS AND DISCUSSION Polarity factor estimated values are shown Table I. The values of T c, p c and ω used in this estimation and sources of the experimental vapor pressure data used to establish the values of χ are also included in this Table. 899
2 900 KUKOLJAC and GROZDANI] TABLE I. The values of the polarity factor Substance χ Substance χ Substance χ 1. Acetaldehyde ,4-Dimethylphenol Methyl-2-butanone Acetone ,5-Dimethylphenol Methyllbutylether Acetonitrile ,5-Dimethylphenol Methylbutyrate Ammonia ,3-Dimethylpyridine Methylformate Aniline ,4-Dimethylpyridine o-methylphenol Benzaldehyde ,6-Dimethylpyridine p-methylphenol Bromobenzene ,5-Dimethylpyridine Methylphenylether Bromoethane Dimethylsulfide Methylpropanoate Bromomethane Dipropylether Methyl-1-propanol Butanone Dodecanol Methyl-2-propanol Butylacetate Dichloromethane Methylpropylether Butylamine Ethanol Methylpyridine Butyric acide Ethanolamine Methylpyridine Butyronitrile Ethylbutylether Morpholine Capronitrile Ethylformate Nitromethane Chlorobenzene Ethylenediamine Nonanone Chlorobutane Ethyleneoxide Octanol Chloroethane Ethylpropionate Pentanol Chloroethene Ethylpropylether Pentanone Chloromethane Ethylacetate Phenol Cyclohexanone Fluorbenzene Propanol Dibutylether Fluoroethane Propionic acid m-dichlorobenzene Formaldehyde Propionitrile o-dichlorobenzene Hydrogenchloride Propylacetate ,2-Dichloropropane Hydrogenfluoride Pyridine Diethylamine Iodoethane Sulfur dioxide Diethylether Isobutylamine ,1,2,2-Tetrachloroethane Diethyldisulfide Methanoic acid Thiacyclopentane Diethylsulfide Methanol ,1,1-Trichloroethane Diisopropylamine Methylacetate Trichloromethane Dimethylamine Methylbenzoate ,1,1-Trifluoroethane Dimethylether Methyl-2-butanol Water Acetaldehyde (vapor pressure references 24/T c (K) = 461.0/p c (bar) = 55.7/ω = 0.303), 2. (9, 30, 33, 55, 62, 73, 85/508.1/47.0/0.307), 3. (30, 67/545.5/48.3/0.327), 4. (14, 19, 74, 95, 109/405.5/113.5/0.215), 5. (30, 51, 81/699.0/53.1/0.384), 6. (1, 27, 41, 51, 82/694.8/45.4/0.316), 7. (30, 51, 81, 108/670.0/45.2/0.250), 8. (56/503.9/62.3/0.229), 9. (31, 56/464.0/66.1/0.157), 10. (30, 55/536.8/42.1/0.318), 11. (54/579.0/31.4/0.417), 12. (41, 59/531.9/42.0/0.329), 13. (49, 50/628.0/52.7/0.683), 14. (66, 67/582.2/37.2/0.373), 15. (30, 66, 67/622.0/32.5/0.519), 16. (30, 81, 108/632.4/45.2/0.251), 17. (30/542.0/36.8/0.218), 18. (43, 94/460.4/52.7/0.191), 19. (30/425.0/51.5/0.122), 20. (48, 56, 60,
3 POLARITY FACTOR /416.3/67.0/0.160), 21. (15, 41, 66/629.0/39.0/0.455), 22. (23, 30/588.1/25.3/0.418), 23. (30/679.4/41.5/0.322), 24. (30/679.3/41.0/0.272), 25. ( /44.5/0.240), 26. (106/496.5/37.1/0.300), 27. (10, 32, 96/466.7/36.4/0.281), 28. (87, 101/642.0/35.0/0.306), 29. (101/557.0/39.6/0.292), 30. (78/523.1/30.2/0.360), 31. (13, 91, 102/437.7/53.1/0.302), 32. (53, 58/400.0/52.4/0.200), 33. (12, 41/707.6/42.9/0.508), 34. (12/723.1/42.9/0.404), , 41/715.6/42.9/0.562), 36. (26/655.4/37.8/0.298), 37. (26, 57, 105/647.0/37.8/0.340), 38. (45, 57, 105/623.8/37.5/0.350), 39. (26, 105/667.2/37.8/0.334), 40. (72, 101/503.0/55.3/0.191), 41. (4, 23, 66/530.6/30.3/0.371), 42. (3, 6/679.0/19.2/1.024), 43. (35, 69/510.0/63.0/0.190), 44. (6, 7, 30, 50, 68, 86/513.9/61.4/0.644), 45. (61/614.0/44.5/0.842), 46. (23/531.0/30.4/0.400), 47. (107/508.5/47.4/0.283), 48. (46/593.0/62.8/0.510), 49. (24, 37, 58, 100/469.0/71.9/0.206), 50. (79, 107/546.0/33.6/0.391), 51. (4, 23/500.2/33.7/0.336), 52. (30, 79, 99, 107/523.2/38.3/0.377), 53. (29, 90, 108/560.1/45.5/0.249), 54. (18, 98/375.3/50.2/0.216), 55. (93/408.0/65.9/0.253), 56. (39, 95/324.7/83.1/0.133), 57. (34/461.0/64.8/0.329), 58. (92/554.0/47.0/0.184), 59. (59, 91/514.3/41.0/0.368), 60. (30, 50, 51/580.0/55.0/0.349), 61. (7, 28, 40/512.6/80.9/0.566), 62. (56, 79, 107/506.8/46.9/0.324), 63. (30/692.0/36.4/0.430), 64. (21/545.0/39.5/0.496), 65. (2, 55/553.4/38.5/0.331), 66. (4, 23/512.8/33.7/0.316), 67. (107/554.4/34.8/0.382), 68. (107/487.2/60.0/0.252), 69. (17, 30, 42/697.6/50.1/0.443), 70. (17, 30, 41, 24/704.6/51.5/0.505), 71. (4, 30/645.6/42.5/0.393), 72. (79, 107/530.6/40.0/0.350), 73. (6, 16, 21/549.8/43.0/0.568), 74. (6, 11, 21, 30, 76/506.2/39.7/0.614), 75. (4/476.3/38.0/0.271), 76. (45, 57, 89/621.0/46.0/0.299), 77. (45, 88/645.0/46.5/0.296), 78. (75/618.0/54.7/0.370), 79. (30, 47, 64/588.0/63.1/0.346), 80. (2/640.0/24.8/0.543), 81. (3, 6, 7, 21, 30/652.5/28.6/0.594), 82. (6, 7, 21, 97/587.7/39.1/0.579), 83. (2, 25, 30, 55/561.0/38.3/0.344), 84. (17, 30, 42/694.2/61.3/0.438), 85. (6, 11, 16, 103, 104/508.4/47.6/0.664), 86. (30, 50, 51/612.0/54.0/0.520), 87. (30/564.4/41.8/0.313), 88. (36, 79, 107/549.4/33.3/0.390), 89. (22, 45, 46, 57, 63/620.0/56.3/0.240), 90. (20, 38, 95/430.8/78.8/0.256), 91. (61, 70, 77, 94/661.2/58.4/0.264), 92. (101/632.0/53.0/0.224), 93. (8, 77, 83, 94/545.0/43.0/0.217), 94. (86/536.4/53.7/0.218), 95. (84/346.3/37.6/0.251), 96. (5, 52, 71, 80/647.3/221.2/0.344). Acknowledgement. This work was supported by a grant from the Research Fund of Serbian and Faculty of Technology and Metallurgy of Belgrade. T temperature (K) p 0 vapor pressure (bar) p pressure (bar) Greek letters χ polarity factor ω acentric factor Subscripts c critical property r reduced property Superscripts (0) simple fluid function (1) normal fluid correction term (2) polar fluid correction term NOTATION
4 902 KUKOLJAC and GROZDANI] IZVOD NOVE VREDNOSTI FAKTORA POLARNOSTI MILO[ D. KUKOQAC i DU[AN K. GROZDANI] Tehnolo{ko-metalur{ki fakultet Univerziteta u Beogradu, Karnegijeva 4, Beograd U ovom radu predlo`ene su nove vrednosti faktora polarnosti χ za 96 supstanci. Procedura izra~unavawa testirana je na vrednostima ovog faktora iz originalnog rada. (Primqeno 30. decembra 1999, revidirano 26. aprila 2000) REFERENCES 1. D. Ambrose, J. E. Connett, J. H. S. Green, J. L. Hales, A. J. Head, J. F. Martin, J. Chem. Thermodynamics 7 (1975) D. Ambrose, J. H. Ellender, E. B. Lees, C. H. S. Sprake, R. Townsend, J. Chem. Thermodynamics 7 (1975) D. Ambrose, J. H. Ellender, C. H. S. Sprake, R. Townsend, J. Chem. Thermodynamics 6 (1974) D. Ambrose, J. H. Ellender, C. H. S. Sprake, R. Townsend, J. Chem. Thermodynamics 8 (1976) D. Ambrose, I. J. Lawrenson, J. Chem. Thermodynamics 4 (1972) D. Ambrose, C. H. S. Sprake, J. Chem. Thermodynamics 2 (1970) D. Ambrose, C. H. S. Sprake, R. Townsend, J. Chem. Thermodynamics 7 (1975) D. Ambrose, C. H. S. Sprake, R. Townsend, J. Chem. Soc. Farad. Trans. 69 (1973) D. Ambrose, C. H. S. Sprake, R. Townsend, J. Chem. Thermodynamics 6 (1974) D. Ambrose, C. H. S. Sprake, R. Townsend, J. Chem. Thermodynamics 4 (1972) D. Ambrose, R. Townsend, J. Chem. Soc. (1963) R. J. L. Andon, D. P. Biddiscombe, J. D. Cox, R. Handley, D. Harrop, E. F. G. Herington, J. F. Martin, J. Chem. Soc. (1960) J. G. Aston, M. L. Eidinoff, W. S. Forster, J. Am. Chem. Soc. 61 (1939) H. D. Baehr, H. Garnjost, R. Pollak, J. Chem. Thermodynamics 8 (1976) S. W. Benson, G. B. Kistiakowsky, J. Am. Chem. Soc. 64 (1942) D. P. Biddiscombe, R. R. Collerson, R. Handley, E. F. G. Herington, J. F. Martin, C. H. S. Sprake, J. Chem. Soc. (1963) D. P. Biddiscombe, J. F. Marin, Trans. Farad. Soc. 54 (1958) H. S. Booth, C. F. Swinehart, J. Am. Chem. Soc. 57 (1935) G. A. Burrell, I. W. Robertson, J. Am. Chem. Soc. 37 (1915) G. A. Burrell, I. W. Robertson, J. Am. Chem. Soc. 37 (1915) J. A. V. Butler, C. N. Ramchandani, D. W. Thomson, J. Chem. Soc. (1935) T. C. Chan, W. A. van Hook, J. Chem. Soc. Farad. Trans. II 72 (1976) J. Cidlinsky, J. Polak, Coll. Czech. Chem. Comm. 34 (1969) K. F. Coles, F. Popper, Ind. Eng. Chem. 42 (1950) R. R. Collerson, J. F. Counsell, R. Handley, J. F. Martin, C. H. S. Sprake, J. Chem. Soc. (1965) E. A. Coulson, J. D. Cox, E. F. G. Herington, J. F. Martin, J. Chem. Soc. (1959) G. R. De Mare, T. Lehman, M. Termonia, J. Chem. Thermodynamics 5 (1973) D. F. Dever, A. Finch, E. Grunwald, J. Phys. Chem. 59 (1955) D. R. Douslin, R. T. Moore, J. P. Dawson, G. Waddington, J. Am. Chem. Soc. 80 (1958) R. R. Dreisbach, S. A. Shrader, Ind. Eng. Chem. 41 (1949) 2879
5 POLARITY FACTOR C. J. Egan, J. D. Kemp, J. Am. Chem. Soc. 60 (1938) H. J. Emeleus, J. Chem. Soc. (1929) W. A. Felsing, S. A. Durban, J. Am. Chem. Soc. 48 (1926) K. Fredenhagen, Z. anorg. allgem. Chem. 210 (1933) F. Garcia-Sanchez, A. Romero-Martinez, A. Trejo, J. Chem. Thermodynamics 21 (1989) G. Geiseler, K. Quitzsch, H. P. Hofmann, R. Pfestorf, Z. phys. Chem. Leipzig 252 (1973) W. F. Giauque, J. Gordon, J. Am. Chem. Soc. 71 (1949) W. F. Giauque, C. C. Stephenson, J. Am. Chem. Soc. 60 (1938) W. F. Giauque, R. Wiebe, J. Am. Chem. Soc. 50 (1928) H. F. Gibbard, J. L. Creek, J. Chem. Eng. Data 19 (1974) F. Glaser, H. Ruland, Chem. Ing.-Tech. 29 (1957) K. B. Goldblum, R. W. Martin, R. B. Young, Ind. Eng. Chem. 39 (1947) J. Gordon, W. F. Giauque, J. Am. Chem. Soc. 70 (1948) R. Halm, I. Stiel, AlChE J. 13 (1967) E. F. G. Herington, J. F. Martin, Trans. Farad. Soc. 49 (1953) W. Hieber, A. Woerner, Z. Elektrochem. 40 (1934) D. E. Holkomb, C. L. Dorsey Jr., Ind. Eng. Chem. 41 (1949) C. C. Hsu, J. J. McKetta, J. Chem. Eng. Data 9 (1964) J. Jasper, G. B. Miller, J. Phys. Chem. 59 (1955) G. W. A. Kahlbaum, Ber. 16 (1883) G. W. A. Kahlbaum, Ber. 27 (1894) G. W. A. Kahlbaum, Ber. 28 (1895) R. M. Kennedy, M. Sagenkahn, J. G. Aston, J. Am. Chem. Soc. 63 (1941) V. Kliment, V. Fried, J. Pick, Coll. Czech. Chem. Comm. 29 (1964) K. A. Kobe, H. R. Crawford, R. W. Stephenson, Ind. Eng. Chem. 47 (1955) A. Kumagai, H. Iwasaki, J. Chem. Eng. Data 23 (1978) M. Lencka, J. Chem. Thermodynamics 22 (1990) O. Maass, E. H. Boomer, J. Am. Chem. Soc. 44 (1922) V. Majer, V. Svoboda, J. Koubek, J. Pick, Coll. Czech. Chem. Comm. 44 (1979) H. Mansoorian, K. R. Hall, J. C. Holste, P. T. Eubank, J. Chem. Thermodynamics 13 (1981) J. B. Matthews, J. F. Sumner, E. A. Moelwyn-Hugnes, Trans. Farad. Soc. 46 (1950) J. H. Mathews, J. Am. Chem. Soc. 48 (1926) J. P. McCullough, D. R. Douslin, J. F. Messerly, I. A. Hossenlopp, T. C. Kincheloe, J. Am. Chem. Soc. 79 (1957) J. P. McCullough, Q. W. Scott, R. E. Pennington, I. A. Hossenlopp, G. Waddington, J. Am. Chem. Soc. 76 (1954) G. H. Messerly, J. G. Aston, J. Am. Chem. Soc. 62 (1940) E. F. Meyer, R. D. Hotz, J. Chem. Eng. Data 18 (1973) E. F. Meyer, T. A. Renner, K. S. Stec, J. Phys. Chem. 75 (1971) K. P. Mi{}enko, V. V. Subotina, Zh. prik. khim. (1967) C. R. Mueller, A. J. Ignatowski, J. Chem. Phys. 32 (1960) O. A. Nelson, Ind. Eng. Chem. 22 (1930) A. G. Osborn, D. R. Douslin, J. Chem. Eng. Data 19 (1974) D. W. Osborne, R. N. Doescher, D. M. Yost, J. Am. Chem. Soc. 64 (1942) D. F. Othmer, M. M. Chudgar, S. L. Levy, Ind. Eng. Chem. 44 (1952) R. Overstreet, W. F. Giauque, J. Am. Chem. Soc. 59 (1937) M. Palczewska-Tulinska, J. Cholinski, A. Szafranski, D. Wyrzykowska-Stankiewicz, Fluid Phase Equilibria 11 (1983) 233
6 904 KUKOLJAC and GROZDANI] 76. G. S. Parks, B. Barton, J. Am. Chem. Soc. 50 (1928) H. R. Patel, S. Sundaram, D. S. Viswanath, J. Chem. Eng. Data 24 (1979) L. Petro{, V. Majer, J. Koubek, V. Svoboda, J. Pick, Coll. Czech. Chem. Comm. 44 (1979) J. Polak, I. Mertl, Coll. Czech. Chem. Comm. 30 (1965) K. Quitzsch, R. Hutting, H. G. Vogel, H. J. Gesemann, G. Geiseler, Z. phys. Chem. 223 (1963) W. Ramsay, S. Young, Trans. Chem. Soc. 48 (1885) C. V. Rechenberg, Einfache und Fractionierte Destillation, Schimmel, Leipzig, T. R. Rubin, B. H. Levedahl, D. M. Yost, J. Am. Chem. Soc. 66 (1944) H. Russell, D. R. V. Golding, D. M. Yost, J. Am. Chem. Soc. 66 (1944) J. Sameshima, J. Am. Chem. Soc. 40 (1918) G. Scatchard, C. L. Raymond, J. Am. Chem. Soc. 60 (1938) D. W. Scott, H. L. Finke, J. P. McCullough, M. E. Gross, R. E. Pennington, G. Waddington, J. Am. Chem. Soc. 74 (1952) D. W. Scott, W. D. Good, G. B. Guthrie, S. S. Todd, I. A. Hossenlopp, A. G. Osborn, J. P. McCullough, J. Phys. Chem. 67 (1963) D. W. Scott, W. N. Hubbard, J. F. Messerly, S. S. Todd, I. A. Hossenlopp, W. D. Good, D. R. Douslin, J. P. McCullough, J. Phys. Chem. 67 (1963) D. W. Scott, J. P. McCullough, W. D. Good, J. F. Messerly, R. E. Pennington, T. C. Kincheloe, I. A. Hossenlopp, D. R. Douslin, G. Waddington, J. Am. Chem. Soc. 78 (1956) A. Simon, J. Huter, Z. Elekctrochem. 41 (1935) C. P. Smyth, E. W. Engel, J. Am. Chem. Soc. 51 (1929) R. Spence, W. Wild, J. Chem. Soc. 138 (1935) W. Staedel, Ber. 15 (1882) A. Stock, F. Henning, E. Kus, Ber. 54 (1921) R. S. Taylor, L. B. Smith, J. Am. Chem. Soc. 44 (1922) L. H. Thomas, R. Meatyard, J. Chem. Soc. (1963) F. C. Vidaurri, J. Chem. Eng. Data 20 (1975) J. Wade, R. W. Merriman, J. Chem. Soc. 101 (1912) C. J. Walters, J. M. Smith, Chem. Eng. Prog. 48 (1952) P. T. White, D. G. Barnard-Smith, F. A. Fidler, Ind. Eng. Chem. 44 (1952) E. Wiberg, W. Sutterlin, Z. Elektrochem. 41 (1935) K. D. Williamson, R. H. Harrison, J. Chem. Phys. 26 (1957) A. Wilson, E. L. Simons, Ind. Eng. Chem. 44 (1952) B. Wisniewska, M. Lencka, M. Rogalski, J. Chem. Thermodynamics 18 (1986) H. Wolff, O. Schiller, Fluid Phase Equilibria 22 (1985) S. Young, G. L. Thomas, J. Chem. Soc. 63 (1893) S. Young, Trans. Chem. Soc. 55 (1889) M. Zander, W. Thomas, J. Chem. Eng. Data 24 (1979) 1.
Supplementary Material for Statistical Field Theory for Polar Fluids
Supplementary Material for Statistical Field Theory for Polar Fluids Bilin Zhuang 1, 2 and Zhen-Gang Wang 1, 1 Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena,
DuPont Suva 95 Refrigerant
Technical Information T-95 ENG DuPont Suva refrigerants Thermodynamic Properties of DuPont Suva 95 Refrigerant (R-508B) The DuPont Oval Logo, The miracles of science, and Suva, are trademarks or registered
DuPont Suva. DuPont. Thermodynamic Properties of. Refrigerant (R-410A) Technical Information. refrigerants T-410A ENG
Technical Information T-410A ENG DuPont Suva refrigerants Thermodynamic Properties of DuPont Suva 410A Refrigerant (R-410A) The DuPont Oval Logo, The miracles of science, and Suva, are trademarks or registered
DuPont Suva 95 Refrigerant
Technical Information T-95 SI DuPont Suva refrigerants Thermodynamic Properties of DuPont Suva 95 Refrigerant (R-508B) The DuPont Oval Logo, The miracles of science, and Suva, are trademarks or registered
Technical Information T-9100 SI. Suva. refrigerants. Thermodynamic Properties of. Suva Refrigerant [R-410A (50/50)]
![Technical Information T-9100 SI. Suva. refrigerants. Thermodynamic Properties of. Suva Refrigerant [R-410A (50/50)]](/thumbs/89/98928029.jpg "Technical Information T-9100 SI. Suva. refrigerants. Thermodynamic Properties of. Suva Refrigerant [R-410A (50/50)]")
d Suva refrigerants Technical Information T-9100SI Thermodynamic Properties of Suva 9100 Refrigerant [R-410A (50/50)] Thermodynamic Properties of Suva 9100 Refrigerant SI Units New tables of the thermodynamic
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.
Comparison of experimental and estimated polarizabilities for organic compounds using ThermoML Archive data
Comparison of experimental and estimated polarizabilities for organic compounds using ThermoML Archive data Axel Drefahl E-mail: axeleratio@yahoo.com Internet: www.axeleratio.com We compare values for
CONCENTRATIVE PROPERTIES OF AQUEOUS SOLUTIONS: DENSITY, REFRACTIVE INDEX, FREEZING POINT DEPRESSION, AND VISCOSITY
DENSITY, REFRACTIVE INDEX, FREEZING POINT DEPRESSION, AND VISCOSITY This table gives properties of aqueous solutions of 66 substances as a function of concentration. All data refer to a temperature of
2 Composition. Invertible Mappings
Arkansas Tech University MATH 4033: Elementary Modern Algebra Dr. Marcel B. Finan Composition. Invertible Mappings In this section we discuss two procedures for creating new mappings from old ones, namely,
Η ΕΠΙΔΡΑΣΗ ΤΗΣ ΑΙΘΑΝΟΛΗΣ,ΤΗΣ ΜΕΘΑΝΟΛΗΣ ΚΑΙ ΤΟΥ ΑΙΘΥΛΟΤΡΙΤΟΤΑΓΗ ΒΟΥΤΥΛΑΙΘΕΡΑ ΣΤΙΣ ΙΔΙΟΤΗΤΕΣ ΤΗΣ ΒΕΝΖΙΝΗΣ
ΤΕΧΝΟΛΟΓΙΚΟ ΕΚΠΑΙΔΕΥΤΙΚΟ ΙΔΡΥΜΑ ΚΑΒΑΛΑΣ ΣΧΟΛΗ ΤΕΧΝΟΛΟΓΙΚΩΝ ΕΦΑΡΜΟΓΩΝ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ Η ΕΠΙΔΡΑΣΗ ΤΗΣ ΑΙΘΑΝΟΛΗΣ,ΤΗΣ ΜΕΘΑΝΟΛΗΣ ΚΑΙ ΤΟΥ ΑΙΘΥΛΟΤΡΙΤΟΤΑΓΗ ΒΟΥΤΥΛΑΙΘΕΡΑ ΣΤΙΣ ΙΔΙΟΤΗΤΕΣ ΤΗΣ ΒΕΝΖΙΝΗΣ ΟΝΟΜΑΤΕΠΩΝΥΜΟ
VBA Microsoft Excel. J. Comput. Chem. Jpn., Vol. 5, No. 1, pp (2006)
J. Comput. Chem. Jpn., Vol. 5, No. 1, pp. 29 38 (2006) Microsoft Excel, 184-8588 2-24-16 e-mail: yosimura@cc.tuat.ac.jp (Received: July 28, 2005; Accepted for publication: October 24, 2005; Published on
Other Test Constructions: Likelihood Ratio & Bayes Tests
Other Test Constructions: Likelihood Ratio & Bayes Tests Side-Note: So far we have seen a few approaches for creating tests such as Neyman-Pearson Lemma ( most powerful tests of H 0 : θ = θ 0 vs H 1 :
Selecting Critical Properties of Terpenes and Terpenoids through Group-Contribution Methods and Equations of State
Supporting Information Selecting Critical Properties of Terpenes and Terpenoids through Group-Contribution Methods and Equations of State Mónia A. R. Martins, 1,2 Pedro J. Carvalho, 1 André M. Palma, 1
Problem Set 9 Solutions. θ + 1. θ 2 + cotθ ( ) sinθ e iφ is an eigenfunction of the ˆ L 2 operator. / θ 2. φ 2. sin 2 θ φ 2. ( ) = e iφ. = e iφ cosθ.
Chemistry 362 Dr Jean M Standard Problem Set 9 Solutions The ˆ L 2 operator is defined as Verify that the angular wavefunction Y θ,φ) Also verify that the eigenvalue is given by 2! 2 & L ˆ 2! 2 2 θ 2 +
PROPERTIES OF COMMON LABORATORY SOLVENTS
PROPERTIES OF COMMON LABORATORY SOLVENTS This table give properties of 200 organic solvents which are frequently used in laboratory and industrial applications. Compounds are listed in alphabetical order
Study of Excess Gibbs Energy for a Lattice Solution by Random Number Simulation
Journal of the Korean Chemical Society 007, Vol. 5, o. 4 Printed in the Republic of Korea ù x mw ½ w š w * w yw (007. 5. Study of Excess Gibbs Energy for a Lattice Solution by Random umber Simulation Hae-Young
By R.L. Snyder (Revised March 24, 2005)
Humidity Conversion By R.L. Snyder (Revised March 24, 2005) This Web page provides the equations used to make humidity conversions and tables o saturation vapor pressure. For a pd ile o this document,
Universal Solvent GC Method Table
Acetone 67-64-1 OVM-3500/3520 ORBO 91 (CT) Acetonitrile 75-05-8 OVM-3500/3520 Acrylonitrile 107-13-1 OVM-3500/3520 Allyl Alcohol 107-18-6 OVM-3500/3520 6μg Allyl Chloride 107-05-1 226-09 Amyl Acetate (mixed
Electronic Supplementary Information
Electronic Supplementary Material (ESI) for Polymer hemistry This journal is The Royal Society of hemistry 2011 Phosphoric and Phosphoramidic Acids as Bifunctional atalysts for the Ring-pening Polymerization
Appendix to On the stability of a compressible axisymmetric rotating flow in a pipe. By Z. Rusak & J. H. Lee
Appendi to On the stability of a compressible aisymmetric rotating flow in a pipe By Z. Rusak & J. H. Lee Journal of Fluid Mechanics, vol. 5 4, pp. 5 4 This material has not been copy-edited or typeset
DESIGN OF MACHINERY SOLUTION MANUAL h in h 4 0.
DESIGN OF MACHINERY SOLUTION MANUAL -7-1! PROBLEM -7 Statement: Design a double-dwell cam to move a follower from to 25 6, dwell for 12, fall 25 and dwell for the remader The total cycle must take 4 sec
CHAPTER 101 FOURIER SERIES FOR PERIODIC FUNCTIONS OF PERIOD
CHAPTER FOURIER SERIES FOR PERIODIC FUNCTIONS OF PERIOD EXERCISE 36 Page 66. Determine the Fourier series for the periodic function: f(x), when x +, when x which is periodic outside this rge of period.
Supplementary Material for Synthesis of Compact Multidentate Ligands to Prepare Stable Hydrophilic Quantum Dot Fluorophores
Supplementary Material for Synthesis of Compact Multidentate Ligands to Prepare Stable Hydrophilic Quantum Dot Fluorophores 5-[1,2]-Dithiolan-3-yl-pentanoic acid 2-[2-(2-{2-[2-(2-hydroxy-ethoxy)-ethoxy]-ethoxy}-
Correction Table for an Alcoholometer Calibrated at 20 o C
An alcoholometer is a device that measures the concentration of ethanol in a water-ethanol mixture (often in units of %abv percent alcohol by volume). The depth to which an alcoholometer sinks in a water-ethanol
Srednicki Chapter 55
Srednicki Chapter 55 QFT Problems & Solutions A. George August 3, 03 Srednicki 55.. Use equations 55.3-55.0 and A i, A j ] = Π i, Π j ] = 0 (at equal times) to verify equations 55.-55.3. This is our third
PROPERTIES OF ORDINARY WATER SUBSTANCE AT SATURATION FROF TME CRITICAL POINT DOWN TO 66 C EQUATIONS & TABLES
PROPERTIES OF ORDINARY WATER SUBSTANCE AT SATURATION FROF TME CRITICAL POINT DOWN TO 66 C EQUATIONS & TABLES M. CONDE ENGINEERING, 2002 M. CONDE ENGINEERING, Zurich 2002 Properties of ordinary water substance
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
ΑΚΑΔΗΜΙΑ ΕΜΠΟΡΙΚΟΥ ΝΑΥΤΙΚΟΥ ΜΑΚΕΔΟΝΙΑΣ ΣΧΟΛΗ ΜΗΧΑΝΙΚΩΝ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΘΕΜΑ: ΦΑΙΝΟΜΕΝΟ ΥΠΕΡΣΠΗΛΑΙΩΣΗΣ
ΑΚΑΔΗΜΙΑ ΕΜΠΟΡΙΚΟΥ ΝΑΥΤΙΚΟΥ ΜΑΚΕΔΟΝΙΑΣ ΣΧΟΛΗ ΜΗΧΑΝΙΚΩΝ ΠΤΥΧΙΑΚΗ ΕΡΓΑΣΙΑ ΘΕΜΑ: ΦΑΙΝΟΜΕΝΟ ΥΠΕΡΣΠΗΛΑΙΩΣΗΣ ΣΠΟΥΔΑΣΤΗΣ: ΓΡΙΒΟΓΙΑΝΝΗΣ ΝΙΚΟΛΑΟΣ-ΠΑΡΑΣΚΕΥΑΣ ΕΠΙΒΛΕΠΩΝ ΚΑΘΗΓΗΤΗΣ : ΔΙΒΙΝΗΣ ΝΙΚΟΛΑΟΣ NEA ΜΗΧΑΝΙΩΝΑ
derivation of the Laplacian from rectangular to spherical coordinates
derivation of the Laplacian from rectangular to spherical coordinates swapnizzle 03-03- :5:43 We begin by recognizing the familiar conversion from rectangular to spherical coordinates (note that φ is used
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 =
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
CHAPTER 25 SOLVING EQUATIONS BY ITERATIVE METHODS
CHAPTER 5 SOLVING EQUATIONS BY ITERATIVE METHODS EXERCISE 104 Page 8 1. Find the positive root of the equation x + 3x 5 = 0, correct to 3 significant figures, using the method of bisection. Let f(x) =
Studies on the Binding Mechanism of Several Antibiotics and Human Serum Albumin
2005 63 Vol. 63, 2005 23, 2169 2173 ACTA CHIMICA SINICA No. 23, 2169 2173 a,b a a a *,a ( a 130012) ( b 133002), 26 K A 1.98 10 4, 1.01 10 3, 1.38 10 3, 5.97 10 4 7.15 10 4 L mol 1, n 1.16, 0.86, 1.19,
Κάθε γνήσιο αντίγραφο φέρει υπογραφή του συγγραφέα. / Each genuine copy is signed by the author.
Κάθε γνήσιο αντίγραφο φέρει υπογραφή του συγγραφέα. / Each genuine copy is signed by the author. 2012, Γεράσιμος Χρ. Σιάσος / Gerasimos Siasos, All rights reserved. Στοιχεία επικοινωνίας συγγραφέα / Author
Universal Solvation Model Based on Solute Electron Density. and on a Continuum Model of the Solvent Defined by
S1 Supporting Information (PART II) Universal Solvation Model Based on Solute Electron Density and on a Continuum Model of the Solvent Defined by the Bulk Dielectric Constant and Atomic Surface Tensions
ECE Spring Prof. David R. Jackson ECE Dept. Notes 2
ECE 634 Spring 6 Prof. David R. Jackson ECE Dept. Notes Fields in a Source-Free Region Example: Radiation from an aperture y PEC E t x Aperture Assume the following choice of vector potentials: A F = =
Jesse Maassen and Mark Lundstrom Purdue University November 25, 2013
Notes on Average Scattering imes and Hall Factors Jesse Maassen and Mar Lundstrom Purdue University November 5, 13 I. Introduction 1 II. Solution of the BE 1 III. Exercises: Woring out average scattering
Cite as: Pol Antras, course materials for International Economics I, Spring MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts
/ / σ/σ σ/σ θ θ θ θ y 1 0.75 0.5 0.25 0 0 0.5 1 1.5 2 θ θ θ x θ θ Φ θ Φ θ Φ π θ /Φ γφ /θ σ θ π θ Φ θ θ Φ θ θ θ θ σ θ / Φ θ θ / Φ / θ / θ Normalized import share: (Xni / Xn) / (XII / XI) 1 0.1 0.01 0.001
6.1. Dirac Equation. Hamiltonian. Dirac Eq.
6.1. Dirac Equation Ref: M.Kaku, Quantum Field Theory, Oxford Univ Press (1993) η μν = η μν = diag(1, -1, -1, -1) p 0 = p 0 p = p i = -p i p μ p μ = p 0 p 0 + p i p i = E c 2 - p 2 = (m c) 2 H = c p 2
Conductivity Logging for Thermal Spring Well
/.,**. 25 +,1- **-- 0/2,,,1- **-- 0/2, +,, +/., +0 /,* Conductivity Logging for Thermal Spring Well Koji SATO +, Tadashi TAKAYA,, Tadashi CHIBA, + Nihon Chika Kenkyuusho Co. Ltd., 0/2,, Hongo, Funabashi,
Supporting Information. Introduction of a α,β-unsaturated carbonyl conjugated pyrene-lactose hybrid
Electronic Supplementary Material (ESI) for RSC Advances. This journal is The Royal Society of Chemistry 16 Supporting Information Introduction of a α,β-unsaturated carbonyl conjugated pyrene-lactose hybrid
1 h, , CaCl 2. pelamis) 58.1%, (Headspace solid -phase microextraction and gas chromatography -mass spectrometry,hs -SPME - Vol. 15 No.
2 0 1 5 7 Journal of Chinese Institute of Food Science and Technology Vol. 15 No. 7 Jul. 2 0 1 5 1,2 1 1 1 1* ( 1 315211 2 315502) : ( ) : (E-Nose), - : GC-MS, 20.98% 2.5%, 53.15% 11.2%, 0. 51% 71.86%
SCITECH Volume 13, Issue 2 RESEARCH ORGANISATION Published online: March 29, 2018
Journal of rogressive Research in Mathematics(JRM) ISSN: 2395-028 SCITECH Volume 3, Issue 2 RESEARCH ORGANISATION ublished online: March 29, 208 Journal of rogressive Research in Mathematics www.scitecresearch.com/journals
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
Homework 3 Solutions
Homework 3 Solutions Igor Yanovsky (Math 151A TA) Problem 1: Compute the absolute error and relative error in approximations of p by p. (Use calculator!) a) p π, p 22/7; b) p π, p 3.141. Solution: For
ΑΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΤΜΗΜΑ ΟΔΟΝΤΙΑΤΡΙΚΗΣ ΕΡΓΑΣΤΗΡΙΟ ΟΔΟΝΤΙΚΗΣ ΚΑΙ ΑΝΩΤΕΡΑΣ ΠΡΟΣΘΕΤΙΚΗΣ
ΑΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΤΜΗΜΑ ΟΔΟΝΤΙΑΤΡΙΚΗΣ ΕΡΓΑΣΤΗΡΙΟ ΟΔΟΝΤΙΚΗΣ ΚΑΙ ΑΝΩΤΕΡΑΣ ΠΡΟΣΘΕΤΙΚΗΣ ΣΥΓΚΡΙΤΙΚΗ ΜΕΛΕΤΗ ΤΗΣ ΣΥΓΚΡΑΤΗΤΙΚΗΣ ΙΚΑΝΟΤΗΤΑΣ ΟΡΙΣΜΕΝΩΝ ΠΡΟΚΑΤΑΣΚΕΥΑΣΜΕΝΩΝ ΣΥΝΔΕΣΜΩΝ ΑΚΡΙΒΕΙΑΣ
1 1 1 2 1 2 2 1 43 123 5 122 3 1 312 1 1 122 1 1 1 1 6 1 7 1 6 1 7 1 3 4 2 312 43 4 3 3 1 1 4 1 1 52 122 54 124 8 1 3 1 1 1 1 1 152 1 1 1 1 1 1 152 1 5 1 152 152 1 1 3 9 1 159 9 13 4 5 1 122 1 4 122 5
EE101: Resonance in RLC circuits
EE11: Resonance in RLC circuits M. B. Patil mbatil@ee.iitb.ac.in www.ee.iitb.ac.in/~sequel Deartment of Electrical Engineering Indian Institute of Technology Bombay I V R V L V C I = I m = R + jωl + 1/jωC
Second Order RLC Filters
ECEN 60 Circuits/Electronics Spring 007-0-07 P. Mathys Second Order RLC Filters RLC Lowpass Filter A passive RLC lowpass filter (LPF) circuit is shown in the following schematic. R L C v O (t) Using phasor
Solubility Modelling and Mixing Thermodynamics of Thiamphenicol in Water and Twelve Neat Organic Solvents from T = ( to 318.
Supporting Information Solubility Modelling and Mixing Thermodynamics of Thiamphenicol in Water and Twelve Neat Organic Solvents from T = (278.15 to 318.15) K Xinbao Li a, Mengqian Wu a, Yang Cong b, Cunbin
SPECIAL FUNCTIONS and POLYNOMIALS
SPECIAL FUNCTIONS and POLYNOMIALS Gerard t Hooft Stefan Nobbenhuis Institute for Theoretical Physics Utrecht University, Leuvenlaan 4 3584 CC Utrecht, the Netherlands and Spinoza Institute Postbox 8.195
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
Statistical Inference I Locally most powerful tests
Statistical Inference I Locally most powerful tests Shirsendu Mukherjee Department of Statistics, Asutosh College, Kolkata, India. shirsendu st@yahoo.co.in So far we have treated the testing of one-sided
Overview. Transition Semantics. Configurations and the transition relation. Executions and computation
Overview Transition Semantics Configurations and the transition relation Executions and computation Inference rules for small-step structural operational semantics for the simple imperative language Transition
DETERMINATION OF THERMAL PERFORMANCE OF GLAZED LIQUID HEATING SOLAR COLLECTORS
ΕΘΝΙΚΟ ΚΕΝΤΡΟ ΕΡΕΥΝΑΣ ΦΥΣΙΚΩΝ ΕΠΙΣΤΗΜΩΝ ΗΜΟΚΡΙΤΟΣ / DEMOKRITOS NATIONAL CENTER FOR SCIENTIFIC RESEARCH ΕΡΓΑΣΤΗΡΙΟ ΟΚΙΜΩΝ ΗΛΙΑΚΩΝ & ΑΛΛΩΝ ΕΝΕΡΓΕΙΑΚΩΝ ΣΥΣΤΗΜΑΤΩΝ LABORATORY OF TESTIN SOLAR & OTHER ENERY
Math221: HW# 1 solutions
Math: HW# solutions Andy Royston October, 5 7.5.7, 3 rd Ed. We have a n = b n = a = fxdx = xdx =, x cos nxdx = x sin nx n sin nxdx n = cos nx n = n n, x sin nxdx = x cos nx n + cos nxdx n cos n = + sin
Ordinal Arithmetic: Addition, Multiplication, Exponentiation and Limit
Ordinal Arithmetic: Addition, Multiplication, Exponentiation and Limit Ting Zhang Stanford May 11, 2001 Stanford, 5/11/2001 1 Outline Ordinal Classification Ordinal Addition Ordinal Multiplication Ordinal
ΔΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ: Mετακύλιση τιμών βασικών προϊόντων και τροφίμων στην περίπτωση του Νομού Αιτωλοακαρνανίας
ΤΜΗΜΑ ΔΙΟΙΚΗΣΗΣ ΕΠΙΧΕΙΡΗΣΕΩΝ ΑΓΡΟΤΙΚΩΝ ΠΡΟΙΟΝΤΩΝ ΚΑΙ ΤΡΟΦΙΜΩΝ MBA ΔΙΟΙΚΗΣΗ ΕΠΙΧΕΙΡΗΣΕΩΝ ΤΡΟΦΙΜΩΝ ΔΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ: Mετακύλιση τιμών βασικών προϊόντων και τροφίμων στην περίπτωση του Νομού Αιτωλοακαρνανίας
The Nottingham eprints service makes this work by researchers of the University of Nottingham available open access under the following conditions.
Luevorasirikul, Kanokrat (2007) Body image and weight management: young people, internet advertisements and pharmacists. PhD thesis, University of Nottingham. Access from the University of Nottingham repository:
Supporting Information for: electron ligands: Complex formation, oxidation and
Supporting Information for: The diverse reactions of PhI(OTf) 2 with common 2- electron ligands: Complex formation, oxidation and oxidative coupling Thomas P. Pell, Shannon A. Couchman, Sara Ibrahim, David
http://doc.rero.ch To whom correspondence should be addressed: Dr. Beat Schwaller, Unit of Anatomy,
Published in "" which should be cited to refer to this work. Calretinin is essential for mesothelioma cell growth/survival in vitro: a potential new target for malignant mesothelioma therapy? Anatomy,
Second Order Partial Differential Equations
Chapter 7 Second Order Partial Differential Equations 7.1 Introduction A second order linear PDE in two independent variables (x, y Ω can be written as A(x, y u x + B(x, y u xy + C(x, y u u u + D(x, y
Novel and Selective Palladium-Catalyzed Annulation of 2-Alkynylphenols to Form 2-Substituted 3-Halobenzo[b]furans. Supporting Information
![Novel and Selective Palladium-Catalyzed Annulation of 2-Alkynylphenols to Form 2-Substituted 3-Halobenzo[b]furans. Supporting Information](/thumbs/64/50937700.jpg "Novel and Selective Palladium-Catalyzed Annulation of 2-Alkynylphenols to Form 2-Substituted 3-Halobenzo[b]furans. Supporting Information")
Novel and Selective Palladium-Catalyzed Annulation of 2-Alkynylphenols to Form 2-Substituted 3-Halobenzo[b]furans Liang Yun, Shi Tang, Xu-Dong Zhang, Li-Qiu Mao, Ye-Xiang Xie and Jin-Heng Li* Key Laboratory
Single-site association results for 136 SCARB1 genotyped variants with HDL-C.
Table S9. Single-site association results for 136 SCARB1 genotyped variants with HDL-C. SNP Name a SNP ID b Chr12 Position c Location Amino Acid Change RegDB Score d MA, MAF Genotype Genotype Count Adjusted
Free Radical Initiated Coupling Reaction of Alcohols and. Alkynes: not C-O but C-C Bond Formation. Context. General information 2. Typical procedure 2
Free Radical Initiated Coupling Reaction of Alcohols and Alkynes: not C-O but C-C Bond Formation Zhongquan Liu,* Liang Sun, Jianguo Wang, Jie Han, Yankai Zhao, Bo Zhou Institute of Organic Chemistry, Gannan
ΠΕΡΙΕΧΟΜΕΝΑ. Μάρκετινγκ Αθλητικών Τουριστικών Προορισμών 1
ΠΑΝΕΠΙΣΤΗΜΙΟ ΑΙΓΑΙΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΤΗΣ ΔΙΟΙΚΗΣΗΣ ΤΜΗΜΑ ΔΙΟΙΚΗΣΗΣ ΕΠΙΧΕΙΡΗΣΕΩΝ ΔΙΑΤΜΗΜΑΤΙΚΟ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ «Σχεδιασμός, Διοίκηση και Πολιτική του Τουρισμού» ΜΑΡΚΕΤΙΝΓΚ ΑΘΛΗΤΙΚΩΝ ΤΟΥΡΙΣΤΙΚΩΝ
Molecular evolutionary dynamics of respiratory syncytial virus group A in
Molecular evolutionary dynamics of respiratory syncytial virus group A in recurrent epidemics in coastal Kenya James R. Otieno 1#, Charles N. Agoti 1, 2, Caroline W. Gitahi 1, Ann Bett 1, Mwanajuma Ngama
Problem Set 3: Solutions
CMPSCI 69GG Applied Information Theory Fall 006 Problem Set 3: Solutions. [Cover and Thomas 7.] a Define the following notation, C I p xx; Y max X; Y C I p xx; Ỹ max I X; Ỹ We would like to show that C
Reaction of a Platinum Electrode for the Measurement of Redox Potential of Paddy Soil
J. Jpn. Soc. Soil Phys. No. +*0, p.- +*,**1 Eh * ** Reaction of a Platinum Electrode for the Measurement of Redox Potential of Paddy Soil Daisuke MURAKAMI* and Tatsuaki KASUBUCHI** * The United Graduate
4.6 Autoregressive Moving Average Model ARMA(1,1)
84 CHAPTER 4. STATIONARY TS MODELS 4.6 Autoregressive Moving Average Model ARMA(,) This section is an introduction to a wide class of models ARMA(p,q) which we will consider in more detail later in this
ΔΙΕΡΕΥΝΗΣΗ ΤΗΣ ΣΕΞΟΥΑΛΙΚΗΣ ΔΡΑΣΤΗΡΙΟΤΗΤΑΣ ΤΩΝ ΓΥΝΑΙΚΩΝ ΚΑΤΑ ΤΗ ΔΙΑΡΚΕΙΑ ΤΗΣ ΕΓΚΥΜΟΣΥΝΗΣ ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ
ΤΕΧΝΟΛΟΓΙΚΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΥΠΡΟΥ ΣΧΟΛΗ ΕΠΙΣΤΗΜΩΝ ΥΓΕΙΑΣ Πτυχιακή Εργασία ΔΙΕΡΕΥΝΗΣΗ ΤΗΣ ΣΕΞΟΥΑΛΙΚΗΣ ΔΡΑΣΤΗΡΙΟΤΗΤΑΣ ΤΩΝ ΓΥΝΑΙΚΩΝ ΚΑΤΑ ΤΗ ΔΙΑΡΚΕΙΑ ΤΗΣ ΕΓΚΥΜΟΣΥΝΗΣ ΑΝΔΡΕΟΥ ΣΤΕΦΑΝΙΑ Λεμεσός 2012 i ii ΤΕΧΝΟΛΟΓΙΚΟ
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
Queensland University of Technology Transport Data Analysis and Modeling Methodologies
Queensland University of Technology Transport Data Analysis and Modeling Methodologies Lab Session #7 Example 5.2 (with 3SLS Extensions) Seemingly Unrelated Regression Estimation and 3SLS A survey of 206
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 +, -.
Notes on the Open Economy
Notes on the Open Econom Ben J. Heijdra Universit of Groningen April 24 Introduction In this note we stud the two-countr model of Table.4 in more detail. restated here for convenience. The model is Table.4.
20 C/68 F 60 C/140 F 100 C/212 F
Χημική αντοχή PTFE ΟΥΜΠΕΡ Α.Ε. Προσοχή: Οι πραγματικές ιδιότητες ενδέχεται να αλλάξουν λόγω της μεθόδου επεξεργασίας, του τύπου ένωσης, και άλλων μεταβλητών. Είναι ευθύνη του χρήστη να αξιολογεί και να
Dr. D. Dinev, Department of Structural Mechanics, UACEG
Lecture 4 Material behavior: Constitutive equations Field of the game Print version Lecture on Theory of lasticity and Plasticity of Dr. D. Dinev, Department of Structural Mechanics, UACG 4.1 Contents
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
Δυσκολίες που συναντούν οι μαθητές της Στ Δημοτικού στην κατανόηση της λειτουργίας του Συγκεντρωτικού Φακού
ΜΟΥΡΑΤΙΔΗΣ ΧΑΡΑΛΑΜΠΟΣ Δυσκολίες που συναντούν οι μαθητές της Στ Δημοτικού στην κατανόηση της λειτουργίας του Συγκεντρωτικού Φακού Μεταπτυχιακή Εργασία Ειδίκευσης που υποβλήθηκε στο πλαίσιο του Προγράμματος
Iodine-catalyzed synthesis of sulfur-bridged enaminones and chromones via double C(sp 2 )-H thiolation
Electronic Supplementary Material (ESI) for Organic & Biomolecular Chemistry. This journal is The Royal Society of Chemistry 2017 Iodine-catalyzed synthesis of sulfur-bridged enaminones and chromones via
Section 8.3 Trigonometric Equations
99 Section 8. Trigonometric Equations Objective 1: Solve Equations Involving One Trigonometric Function. In this section and the next, we will exple how to solving equations involving trigonometric functions.
( )( ) ( ) ( )( ) ( )( ) β = Chapter 5 Exercise Problems EX α So 49 β 199 EX EX EX5.4 EX5.5. (a)
hapter 5 xercise Problems X5. α β α 0.980 For α 0.980, β 49 0.980 0.995 For α 0.995, β 99 0.995 So 49 β 99 X5. O 00 O or n 3 O 40.5 β 0 X5.3 6.5 μ A 00 β ( 0)( 6.5 μa) 8 ma 5 ( 8)( 4 ) or.88 P on + 0.0065
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
Copper-catalyzed formal O-H insertion reaction of α-diazo-1,3-dicarb- onyl compounds to carboxylic acids with the assistance of isocyanide
Electronic Supplementary Material (ESI) for ChemComm. This journal is The Royal Society of Chemistry 2014 Copper-catalyzed formal O-H insertion reaction of α-diazo-1,3-dicarb- onyl compounds to carboxylic
(1) A lecturer at the University College of Applied Sciences in Gaza. Gaza, Palestine, P.O. Box (1514).
1439 2017, 3,29, 1658 7677: 1439 2017,323 299, 3,29, 1 1438 09 06 ; 1438 02 23 : 33,,,,,,,,,,, : The attitudes of lecturers at the University College of Applied Sciences in Gaza (BA - Diploma) towards
Approximation of distance between locations on earth given by latitude and longitude
Approximation of distance between locations on earth given by latitude and longitude Jan Behrens 2012-12-31 In this paper we shall provide a method to approximate distances between two points on earth
k A = [k, k]( )[a 1, a 2 ] = [ka 1,ka 2 ] 4For the division of two intervals of confidence in R +
[a 1, a 2 ] = [ka 1,ka 2 ] 4For the division of two intervals of confidence in R +](/thumbs/73/69566903.jpg "k A = [k, k]( )[a 1, a 2 ] = [ka 1,ka 2 ] 4For the division of two intervals of confidence in R +")
Chapter 3. Fuzzy Arithmetic 3- Fuzzy arithmetic: ~Addition(+) and subtraction (-): Let A = [a and B = [b, b in R If x [a and y [b, b than x+y [a +b +b Symbolically,we write A(+)B = [a (+)[b, b = [a +b
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
UDZ Swirl diffuser. Product facts. Quick-selection. Swirl diffuser UDZ. Product code example:
UDZ Swirl diffuser Swirl diffuser UDZ, which is intended for installation in a ventilation duct, can be used in premises with a large volume, for example factory premises, storage areas, superstores, halls,
Επεξεργασία πειραματικών αποτελεσμάτων
ΠΥΘΑΓΟΡΑΣ: ΕΝΙΣΧΥΣΗ ΕΡΕΥΝΗΤΙΚΩΝ ΟΜΑΔΩΝ ΣΤΟ ΔΗΜΟΚΡΙΤΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΡΑΚΗΣ / ΠΡΟΓΡΑΜΜΑ ΠΡΟΣΤΑΣΙΑΣ ΠΕΡΙΒΑΛΛΟΝΤΟΣ ΚΑΙ ΠΕΡΙΒΑΛΛΟΝΤΙΚΗΣ ΕΚΠΑΙΔΕΥΣΗΣ Τίτλος Υποέργου: «Εργαστηριακή προσομοίωση περιβαλλοντικών
Electronic supplementary information for
Electronic Supplementary Material (ESI) for Journal of Materials Chemistry C. This journal is The Royal Society of Chemistry 2017 Electronic supplementary information for Highly responsive ethylenediamine
AΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΠΟΛΥΤΕΧΝΙΚΗ ΣΧΟΛΗ ΤΜΗΜΑ ΠΟΛΙΤΙΚΩΝ ΜΗΧΑΝΙΚΩΝ
AΡΙΣΤΟΤΕΛΕΙΟ ΠΑΝΕΠΙΣΤΗΜΙΟ ΘΕΣΣΑΛΟΝΙΚΗΣ ΠΟΛΥΤΕΧΝΙΚΗ ΣΧΟΛΗ ΤΜΗΜΑ ΠΟΛΙΤΙΚΩΝ ΜΗΧΑΝΙΚΩΝ ΠΡΟΓΡΑΜΜΑ ΜΕΤΑΠΤΥΧΙΑΚΩΝ ΣΠΟΥΔΩΝ ΕΙΔΙΚΕΥΣΗΣ ΠΡΟΣΤΑΣΙΑ ΠΕΡΙΒΑΛΛΟΝΤΟΣ ΚΑΙ ΒΙΩΣΙΜΗ ΑΝΑΠΤΥΞΗ ΔΙΕΡΕΥΝΗΣΗ ΤΩΝ ΠΙΕΣΕΩΝ ΣΤΟ ΠΕΡΙΒΑΛΛΟΝ
Ισορροπία φάσεων σε υδατικά διαλύματα που περιέχουν ελαφρείς υδρογονάνθρακες και παρεμποδιστές υδριτών. Πετροπούλου Ειρήνη
ΕΘΝΙΚΟ ΜΕΤΣΟΒΙΟ ΠΟΛΥΤΕΧΝΕΙΟ ΣΧΟΛΗ ΧΗΜΙΚΩΝ ΜΗΧΑΝΙΚΩΝ ΤΟΜΕΑΣ II Ισορροπία φάσεων σε υδατικά διαλύματα που περιέχουν ελαφρείς υδρογονάνθρακες και παρεμποδιστές υδριτών. Πετροπούλου Ειρήνη Τυπικά στοιχεία
Θερμοδυναμική - Εργαστήριο
Θερμοδυναμική - Εργαστήριο Ενότητα 6: Εύρεση του ειδικού όγκου αερίων μιγμάτων με χρήση μιας καταστατικής εξίσωσης Κυρατζής Νικόλαος Τμήμα Μηχανικών Περιβάλλοντος και Μηχανικών Αντιρρύπανσης ΤΕ Άδειες
Απόκριση σε Μοναδιαία Ωστική Δύναμη (Unit Impulse) Απόκριση σε Δυνάμεις Αυθαίρετα Μεταβαλλόμενες με το Χρόνο. Απόστολος Σ.
Απόκριση σε Δυνάμεις Αυθαίρετα Μεταβαλλόμενες με το Χρόνο The time integral of a force is referred to as impulse, is determined by and is obtained from: Newton s 2 nd Law of motion states that the action
HOMEWORK 4 = G. In order to plot the stress versus the stretch we define a normalized stretch:
HOMEWORK 4 Problem a For the fast loading case, we want to derive the relationship between P zz and λ z. We know that the nominal stress is expressed as: P zz = ψ λ z where λ z = λ λ z. Therefore, applying
ΔΙΠΛΩΜΑΣΙΚΗ ΕΡΓΑΙΑ. του φοιτητή του Σμήματοσ Ηλεκτρολόγων Μηχανικών και. Σεχνολογίασ Τπολογιςτών τησ Πολυτεχνικήσ χολήσ του. Πανεπιςτημίου Πατρών
ΠΑΝΕΠΙΣΗΜΙΟ ΠΑΣΡΩΝ ΣΜΗΜΑ ΗΛΕΚΣΡΟΛΟΓΩΝ ΜΗΦΑΝΙΚΩΝ ΚΑΙ ΣΕΦΝΟΛΟΓΙΑ ΤΠΟΛΟΓΙΣΩΝ ΣΟΜΕΑ: ΗΛΕΚΣΡΟΝΙΚΗ ΚΑΙ ΤΠΟΛΟΓΙΣΩΝ ΕΡΓΑΣΗΡΙΟ ΗΛΕΚΣΡΟΝΙΚΩΝ ΤΠΟΛΟΓΙΣΩΝ ΔΙΠΛΩΜΑΣΙΚΗ ΕΡΓΑΙΑ του φοιτητή του Σμήματοσ Ηλεκτρολόγων Μηχανικών
Capacitors - Capacitance, Charge and Potential Difference
Capacitors - Capacitance, Charge and Potential Difference Capacitors store electric charge. This ability to store electric charge is known as capacitance. A simple capacitor consists of 2 parallel metal
ΒΙΟΑΠΟΘΕΙΩΣΗ ΔΙΒΕΝΖΟΘΕΙΟΦΑΙΝΙΟΥ ΚΑΙ ΠΕΤΡΕΛΑΙΟΥ ΑΠΟ ΝΕΟ ΑΠΟΜΟΝΩΜΕΝΟ ΣΤΕΛΕΧΟΣ KLEBSIELLA SP. LAB
Σχολή Γεωτεχνικών Επιστήμων και Διαχείρισης Περιβάλλοντος Μεταπτυχιακή διατριβή ΒΙΟΑΠΟΘΕΙΩΣΗ ΔΙΒΕΝΖΟΘΕΙΟΦΑΙΝΙΟΥ ΚΑΙ ΠΕΤΡΕΛΑΙΟΥ ΑΠΟ ΝΕΟ ΑΠΟΜΟΝΩΜΕΝΟ ΣΤΕΛΕΧΟΣ KLEBSIELLA SP. LAB Ραφαέλα Κωνσταντίνου Λεμεσός,
: 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.