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1.
《School science and mathematics》1944,44(6):582-591
Book reviewed in this article: The Origin of the Carolina Bays , by Douglas Johnson. A Guide to Naval Aviation , by Lt. Wallace W. Elton, USNR; Lt. Alfred H. Driscoll, USNR; Lt. Robert N. Burchmore, USNR; and Lt. Gray B. Larkum, USNR. Mathematics for Navigators , by Delwyn Hyatt, Commander, USN, (Ret.) and Bennett M. Dodson, Commander, USNR. The Text -Activity Books . Elementary Topography and Map Reading , by Samuel L. Greitzer. Earth Science , A Physiography, by Gustave L. Fletcher. Shopwork , by Edward C. Wicks, Instructor of Industrial Arts, Morristown High School, New Jersey, John Poljacik, Jr., Instructor of Industrial Arts, Morrislown High School, and John Ellberg, author of Tales of A Rambler. Shop Practice , by William J. Kennedy. Plane Trigonometry and Statics , by Norman Miller. The Story of Flying , by Archibald Black. Electricity for Everyone , by Joseph R. Lunt, late Professor of Science at Rhode Island College of Education, and William T. Wyman. Air Navigation for Beginners , A Ground School Primer for Aerial Navigators , by Scott G. Lamb, B.S., M.S. Essentials of Algebra (Complete Second Year Course ), by Walter W. Hart. Solid Geometry , by F. Eugene Seymour, Supervisor of Mathematics, New York State Department of Education, and Paul James Smith, Head of Department of Mathematics, East High School, Rochester, New York. Modern Science Series , by Charles E. Dull. Organic Chemistry , by C. W. Porter and T. D. Stewart. Man's Physical Universe , by Arthur Talbot Bawden. Man and His Physical Universe , by Frank Covert, Jean Ezra Clarence Harrah, and Fred Louis Herman. Elementary Electricity , by Edgar P. Slack. 相似文献
2.
《Optimization》2012,61(5):695-705
Griffiths, D.F. (ed.):Numerical Analysis. Proceedings of the 10th Biennial Conference held at Dundee, Scotland, Jun 28-Juli 1, 1983. Lecture Notes in Mathematics. Vol. 1066. SpringerVerlag Berlin, Heidelberg, New York, Tokyo 1984, XI, 275 p. DM 33.50, ISBN 2-540-13344-5. Gross, D.; C.M. Harris:Fundamentals of Queueing Theory. 2. Ed. John Wiley & Sons Limited New York, Chichester, Brisbane, Toronto 1985, XII, 587 p., £ 43.95, ISBN0-471-89067-7. Miklosöko.; J.E.Kotov (eds.):Algorithms, Software and Hardware of Parallel Computers. Springer-Verlag Berlin, Heidelberg, New York, Tokyo 1984, 181 figs., 380 p., DM 89,-,ISBN 3-540-13657-6. Dolcetta, I.C.; W.H. Fleming; T.Zolezzr (eds.):Recent Mathematical Methods in Dynamic Programming. Proceedings Corti. Rome, Mar 26-28, 1984. Lecture Notes in Mathematics. Vol. 1119. Springer-Verlag Berlin, Heidelberg, New York, Tokyo 1985, VI, 202 S.DM 31,50, ISBN 3-540-15217-2. Demyanov, V.F.; D.Pallaschke (eds.):Nondifferentiable Optimization:Motivations and Applications. Proceedings, Sopron, Hungary 1984. Lecture Notes in Economics and Mathematical Systems. Vol. 255. Springer-Verlag Berlin, Heidelberg, New York, Tokyo 1985, VI, 349 S. Kiwiel, K.C.:Methods of Descent for Nondifferentiable Optimization. Lecture Notes in Mathematics. VoL 1133. Springer-Verlag Berlin, Heidelberg, New York, Tokyo 1985, 'T1, 362 S., DM 51,50, ISBN 3-540-15642-9. Remmert, R.:Funktionentheorie. Vol. 1. Grundwisaen Mat.hematik. Vol. 5. Springer-Verlag Berlin, Heidelberg, New York, Tokyo 1984, 65 Abb., XIII, 324 S., DM 44,-, ISBN:3;540-12782-8. Walsh, G. R.:An Introduction to Linear Programming. 2. Ed. John Wiley & Sons Chichester, New York, Brisbane, Toronto, Singapore 1985, IX, 240 p., ISBN 0-471-90719-7. Törnig, W.;M. Kaspar:Numerische Ldsung von partiellen Differentialgleichungen der Technik. Mathematische Methoden in der Technik.. Bd.. 1. B. G. Teubner Stuttgart 1985, 181 S., DM 34,-, ISBN 3-519-02613-9. Neunzert, H.(ed.):Proceedings of the Conference JIathematics in Industry, Oct 24 - 28, 1983 Oberwolfach. B. G. Teubner Stuttgart 1984, 287 S., 52,- DM, ISBN 3-519-02610-4. Lösch, M.:Fixpunkt-Schätzvertahren für Modelle mit rationaien Erwartungen.. Mathematical Systems in Economics:" Vol. 94. Verlagsgruppe Athenäum, Hain, Hanstein Königstein 1984; 312 S.,DM 68,-,ISBN 3-445-02387-5. Bultheel, A.; P.Dewilde (eds.):Rational Approximation in Systems Engineering. Birkhäuser Verlag Basel 1983, 244 pp., sFr. 72,-. ISBN 3-7643-3159-3. Harrison, J. M.:Brownian ])Iotion and Stochastic Flow Systems. John Wiley & Sons New York, Chichester, Brisbane 1985, XIX, 140 pp., 36.95 £ ISBN 471-81939-5. 相似文献
3.
C. Brezinski 《Numerical Algorithms》1997,15(2):243-246
L.N. TREFETHEN and D. BAU, III,Numerical Linear Algebra,SIAM, Philadelphia, 1997G.-C. ROTA,Indiscrete Thoughts,Birkhäuser, Boston, 1997D.E. KEYES, A. SAMEH and V. VENKATAKRISHNAN, eds.Parallel Numerical Algorithms,Kluwer, Dordrecht, 1997A. KIRSCH,An Introduction to the Mathematical Theory of Inverse Problems,Springer, New York, 1996L.F. SHAMPINE, R.C. ALLEN, Jr. and S. PRUESS,Fundamentals of Numerical Computing,Wiley, New York, 1997C.W. UEBERHUBERNumerical Computation, 2 vols.Springer, Berlin, 1997W.G. McCALLUM et al.Multivariate Calculus,Wiley, New York, 1997ZHI-QUAN LUO, JONG-SHI PANG and D. RALPH,Mathematical Programs with Equilibrium Constraints,Cambridge University Press, Cambridge, 1996P.R. POPIVANOV and D.K. PALAGACHEV,The Degenerate Oblique Derivative Problem for Elliptic and Parabolic Equations,Akademie Verlag, Berlin, 1997 相似文献
4.
《School science and mathematics》1944,44(3):287-294
Book reviewed in this article: Physics, A Basic Science, by Elmer E. Burns, Teacher of Physics (Emeritus), Austin High School, Chicago; Frank L. Verwiebe, Associate Professor of Physics, Hamilton College, Research Associate, Army Institute; and Herbert C. Hazel, Major, U. S. Marine Corps. Practical Radio Communication, by Arthur R. Nilson, Chief Instructor, Nilson Radio School, New York, N. Y. Lieutenant (Tecknicist) (Communications) U.S.N.R. (Retired); Member Institute of Radio Engineers, and J. L. Hornung, Lieutenant A-V (R.S) U.S.N.R.; Member Institute of Radio Engineers; Formerly Radio Instructor, New York University. Machines, by Charles R. Wallendorf, Administrative Assistant, Woodrow Wilson Vocational High School, Jamaica, N. Y., Frank Stewart, Department of Applied Physics, Brooklyn Technical High School, N. Y., George Luedeke, Supervisor of Shop Subjects in Vocational High Schools, Board of Education, New York, N. Y., and Dominic M. Chiarello, Department of Applied Electricity, Brooklyn Technical High School, N. Y. Systematics and the Origin of Species, by Ernst Mayr Common Edible Mushrooms, by Clyde M. Christensen Handbook of Microscopic Characteristics of Tissues and Organs, 2nd edition, by Karl A. Stiles Plane Trigonometry, by Arthur W. Weeks, M.A., The Phillips Exeter Academy, and H. Gray Funkhouser, Ph.D. Analytic Geometry, by Frederick H. Steen, Ph.D., Associate Professor of Mathematics, Allegheny College, and Donald H. Ballou, Ph.D., Assistant Professor of Mathematics, Middlebury College. Electricity, by Charles A. Rirsde. Principles and Practice of Radio Servicing, by H. J. Hicks, M.S. Experimental Electronics, by Ralph H. Müller, Professor of Chemistry, New York University; R. L. Carman, Assistant Professor of Chemistry, New York University; and M. E. Droz, Assistant Professor of Chemistry, New York University. Simplified Industrial Mathematics, by John H. Wolfe, Ph.D., Supervisor of Ford Apprentice Training, Ford Motor Company, Dearborn, Michigan; William F. Mueller, A.B., Principal of Ford Aircraft Apprentice School, Ford Motor Company, Dearborn, Michigan; and Seibert D. Mullikin, B.S., Principal of Ford Airplane Apprentice School, Ford Motor Company, Willow Run, Michigan. 相似文献
5.
Massimiliano D. Rosini 《Journal of Differential Equations》2009,246(1):408-427
In this paper we describe the main characteristics of the macroscopic model for pedestrian flows introduced in [R.M. Colombo, M.D. Rosini, Pedestrian flows and non-classical shocks, Math. Methods Appl. Sci. 28 (13) (2005) 1553-1567] and recently sperimentally verified in [D. Helbing, A. Johansson, H.Z. Al-Abideen, Dynamics of crowd disasters: An empirical study, Phys. Rev. E (Statistical, Nonlinear, and Soft Matter Physics) 75 (4) (2007) 046109]. After a detailed study of all the possible wave interactions, we prove the existence of a weighted total variation that does not increase after any interaction. This is the main ingredient used in [R.M. Colombo, M.D. Rosini, Existence of nonclassical Cauchy problem modeling pedestrian flows, technical report, Brescia Department of Mathematics, 2008] to tackle the Cauchy problem through wave front tracking, see [A. Bressan, Hyperbolic Systems of Conservation Laws. The One-Dimensional Cauchy Problem, Oxford Lecture Ser. Math. Appl., vol. 20, Oxford Univ. Press, Oxford, 2000, The one-dimensional Cauchy problem; A. Bressan, The front tracking method for systems of conservation laws, in: C.M. Dafermos, E. Feireisl (Eds.), Handbook of Differential Equations; Evolutionary Equations, vol. 1, Elsevier, 2004, pp. 87-168; R.M. Colombo, Wave front tracking in systems of conservation laws, Appl. Math. 49 (6) (2004) 501-537]. From the mathematical point of view, this model is one of the few examples of conservation laws in which nonclassical solutions have a physical motivation, see [P.G. Lefloch, Hyperbolic Systems of Conservation Laws, Lectures Math. ETH Zürich, Birkhäuser, Basel, 2002, The theory of classical and nonclassical shock waves], and an existence result is available. 相似文献
6.
We study the existence, uniqueness and asymptotic behavior, as well as the stability of a special kind of traveling wave solutions for competitive PDE systems involving intrinsic growth, competition, crowding effects and diffusion. The traveling waves are exclusive in the sense that as the variable goes to positive or negative infinity, different species are close to extinction or carrying capacity. We perform an appropriate affine transformation of the traveling wave equations into monotone form and construct appropriate upper and lower solutions. By this means, we reduce the existence proof to application of well-known theory about monotone traveling wave systems (cf. [A. Leung, Systems of Nonlinear Partial Differential Equations: Applications to Biology and Engineering, MIA, Kluwer, Boston, 1989; J. Wu, X. Zou, Traveling wave fronts of reaction-diffusion systems with delay, J. Dynam. Differential Equations 13 (2001) 651-687] and [I. Volpert, V. Volpert, V. Volpert, Traveling Wave Solutions of Parabolic Systems, Transl. Math. Monogr., vol. 140, Amer. Math. Soc., Providence, RI, 1994]). Then, by using spectral analysis of the linearization over the profile, we prove the orbital stability of the traveling wave in some Banach spaces with exponentially weighted norm. Furthermore, we show that the introduction of some weight is necessary in the sense that, in general, traveling wave solutions with initial perturbations in the (unweighted) space C0 are unstable (cf. [I. Volpert, V. Volpert, V. Volpert, Traveling Wave Solutions of Parabolic Systems, Transl. Math. Monogr., vol. 140, Amer. Math. Soc., Providence, RI, 1994] and [D. Henry, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Math., vol. 840, Springer-Verlag, New York, 1981]). 相似文献
7.
Artin's braid groups currently provide a promising background for cryptographical applications, since the first cryptosystems using braids were introduced in [I. Anshel, M. Anshel, D. Goldfeld, An algebraic method for public-key cryptography, Math. Res. Lett. 6 (1999) 287-291, I. Anshel, M. Anshel, B. Fisher, D. Goldfeld, New key agreement schemes in braid group cryptography, RSA 2001, K.H. Ko, S.J. Lee, J.H. Cheon, J.W. Han, J.S. Kang, C. Park, New public-key cryptosystem using braid groups, Crypto 2000, pp. 166-184] (see also [V.M. Sidelnikov, M.A. Cherepnev, V.Y. Yashcenko, Systems of open distribution of keys on the basis of noncommutative semigroups, Ross. Acad. Nauk Dokl. 332-5 (1993); English translation: Russian Acad. Sci. Dokl. Math. 48-2 (1194) 384-386]). A variety of key agreement protocols based on braids have been described, but few authentication or signature schemes have been proposed so far. We introduce three authentication schemes based on braids, two of them being zero-knowledge interactive proofs of knowledge. Then we discuss their possible implementations, involving normal forms or an alternative braid algorithm, called handle reduction, which can achieve good efficiency under specific requirements. 相似文献
8.
《School science and mathematics》1944,44(1):90-96
Book reviewed in this article: Textbook of Quantitative Inorganic Analysis, by I. M. Kolthoff, Ph.D., Professor of Analytical Chemistry, University of Minnesota, and E. B. Sandell, Ph.D., Assistant Professor of Analytical Chemistry, University of Minnesota. A Chemical-Technical Dictionary (German-English-French-Russian), by A. W. Mayer. (Translation under direction of B. N. Menschutkin and M. A. Bloch.) Preservice Course in Automotive Mechanics, by James V. Frost, Instructor in Automotive Trades, Brooklyn High School of Automotive Trades, Brooklyn, New York. Automotive Mechanics, in two volumes by Clarence G. Barger Elements of Food Biochemistry, by William H. Peterson, Ph.D., Professor of Biochemistry, University of Wisconsin, Madison, Wisconsin; John T. Skinner, Ph.D., Assistant Chemist, Kentucky Agricultural Experiment Station, Lexington, Kentucky; and Frank M. Strong, Ph.D., Associate Professor of Biochemistry, University of Wisconsin, Madison, Wisconsin. The Chemical Formulary. A Collection of Valuable, Timely, Practical Commercial Formulae and Recipes for Making Thousands of Products in Many Fields of Industry. Volume VI. Editor-in-Chief, H. Bennett. Air Navigation. Flight Preparation Series. Published under the Supervision of the Training Division, Bureau of Aeronautics, U. S. Navy, Part One, Introduction to Earth. Radio—I, Written to Conform to the Pre-induction Training Course in Fundamentals of Radio as Prepared by the War Department, by R. E. Williams, Manager, School Service, Westinghouse Electric and Manufacturing Company, Pittsburgh, Pennsylvania, and Charles A. Scarlott, Editor, Westinghouse Engineer. Minerals, Their Identification, Uses, and How to Collect Them, by Herbert S. Zim, and Elizabeth K. Cooper. Basic Radio Principles, by Maurice Grayle Suffern, Captain, Signal Corps, Army of the United States. 相似文献
9.
《Optimization》2012,61(3-4):297-305
d'Alessandro, P., A Conical Approach to Linear Programming Scalar and Vector Optimization Problems, Gordon and Breach Science Publishers, Australia Canada China France Germany India Japan Luxembourg Malaysia The Netherlands Russia Singapore Switzerland Thailand United Kingdom 1997, 312 pp., ISBN 90- 5699-031-4. Fang, S.-C., Rajasekera, J. R. and Tsao, H. S. J., Entropy Optimization and Mathematical Programming, Kluwer's International Series. Kluwer Academic Publishers, Boston London Dordrecht, 1997, pp. 343, US $120.00; ISBN 0-7923-9939-0. Golshtein, E. G. and Tretyakov, N. V., Modified Lagrangians Monotone Maps in Optimization, John Wiley & Sons, New York Chicester Brisbane Toronto Singapore 1996,438 pp., £55.00, ISBN 0-471-54821-9. Hoffmann, K.-H., Leugering, G. and Troltzsch, F. (Eds.), Optimal Control of Partial Differential Equations, International Confa-ence in Chemnitz, Germany, April 20-25, 1998; International Series of Numerical Mathematics ISNM, Vol. 133, Birkhauser Verlag AG, Basel*Boston-Berlin 1999, viii+323 pp., DM 188.00, ISBN 3-7643- 6151-4. 相似文献
10.
《European Journal of Operational Research》2001,130(1):29-53
This paper develops the recursive model for connective rules (as proposed in V. Cutello, E. Molina, J. Montero, Associativeness versus recursiveness, in: Proceedings of the 26th IEEE International Symposium on Multiple-valued Logic, Santiago de Compostela, Spain, 29–31 May, 1996, pp. 154–159; V. Cutello, E. Molina, J. Montero, Binary operators and connective rules, in: M.H. Smith, M.A. Lee, J. Keller, J. Yen (Eds.), Proceedings of NAFIPS 96, North American Fuzzy Information Processing Society, IEEE Press, Piscataway, NJ, 1996, pp. 46–49), where a particular solution in the Ordered Weighted Averaging (OWA) context (see V. Cutello, J. Montero, Recursive families of OWA operators, in: P.P. Bonissone (Ed.), Proceedings of the Third IEEE Conference on Fuzzy Systems, IEEE Press, Piscataway, NJ, 1994, pp. 1137–1141; V. Cutello, J. Montero, Recursive connective rules, International Journal of Intelligent Systems, to appear) was translated into a more general framework. In this paper, some families of solutions for the key recursive equation are obtained, based upon the general associativity equation as solved by K. Mak (Coherent continuous systems and the generalized functional equation of associativity, Mathematics of Operations Research 12 (1987) 597–625). A context for the representation of families of binary connectives is given, allowing the characterization of key families of connective rules. 相似文献
11.
《School science and mathematics》1970,70(3):271-272
Freeman, Ira M., Light and Radiation. Calder, Nigel, Violent Universe: An Eyewitness Account of the New Astronomy. Glasstone, Samuel, The Book of Mars. Randall, Charles A. Jr., Extra-Terrestrial Matter. Willerding, Margaret F. and Hoffman, Stephen, Modern Intermediate Algebra. Cohen, David, O'Neill, Brian J., and Bailey, John E., Geology: Rocks and Mincrals. Are You Unique? Careers In—Accounting, Banking, Business, Economics, Engineering, Finance Law, Mathematics, Other Professions. 0–319–339, U. S. Government Printing Office, Washington, D. C. 1969. 相似文献
12.
We discuss a general notion of similarity function between two sequences which is based on their common subsequences. This notion arises in some applications of molecular biology [A.G. D'yachkov, P.L. Erdos, A.J. Macula, V.V. Rykov, D.C. Torney, C.-S. Tung, P.A. Vilenkin, and P.S. White, Exordium for DNA codes, Journal of Combinatorial Optimization 7 (4) (2003)]. We introduce the concept of similarity codes and study the logarithmic asymptotics for the size of optimal codes. Our mathematical results announced in [A.G. D'yachkov, D.C. Torney, P.A. Vilenkin, and P.S.White, On a class of codes for the insertion-deletion metric, Proc. of ISIT–2002, Lausanne, Switzerland, July 2002] correspond to the longest common subsequence (LCS) similarity function [V.I. Levenshtein, Binary codes capable of correcting deletions, insertions, and reversals, J. Soviet Phys.—Doklady, 10, 707–710, 1966] which leads to a special subclass of these codes called reverse-complement (RC) similarity codes. RC codes for additive similarity functions have been studied in previous papers [A.G. D'yachkov and D.C. Torney, On similarity codes, IEEE Trans. Inform. Theory 46 (4) (2000) 1558–1564], [A.G. D'yachkov, D.C. Torney, P.A. Vilenkin, and P.S. White, Reverse– complement similarity codes for DNA sequences, Proc. of ISIT–2000, Sorrento, Italy, July 2000], [P.A. Vilenkin, Some asymptotic problems of combinatorial coding theory and information theory (in Russian), Ph.D. dissertation, Moscow State University, 2000], [V.V. Rykov, A.J. Macula, C.M.Korzelius, D.C. Engelhart, D.C. Torney, and P.S. White, DNA sequences constructed on the basis of quaternary cyclic codes, Proc. of 4-th World Multiconference on Systemics, Cybernetics and Informatics, Orlando, Florida, USA, July 2000]. 相似文献
13.
《Optimization》2012,61(6):859-868
Devroye, L.; L. Györfi: Nonparametric Density Estimation: the L1 View. John Wiley & Sons New York, Chichester, Brisbane, Toronto, Singapore 1985, XI, 356 p., £ 45.90, ISBN 0-471816469 Gericke, H.: Mathematik in Antike und Orient. Springer-Verlag Berlin, Heidelberg, New York, Tokyo 1984, 140.Abb., 4 Kartenskizzen, XII, 292 S., DNI 98,-, ISBN 3-540-11647-8 K. ITö (ed.) StochasticAnalysis. Proceedings of the Traniguchi Internationaloal Symposium on Stochastic Analysis, Katata and Kyoto, 1982. North-Holland Mathematical Library, Vol. 32, North-Holland Publishing Company, Amsterdam 1984, 488 pages, Dfl. 250.- ISBN 0-444-87588-3 Weizenbaum, J.: Die Macht der Computer und dic Ohnmaeht der Vernuutt, Suhrkamp Taschenbuch Wissenschaf't 274. Suhrkamp Verlag Frankfurt/M. 1978, 368 S., DM 16,-, ISBN 3-518-27874-6 Krylov, N.V.; R. Sh. Lipiser; A.A Novikov (eds.): Statistics and Control of Stochastic Processes. Steklov Seminar, 1984. Springer-Verlag Berlin, Heidelberg, New York, Tokyo 1985, XIII, 507 S., DM 198, -, ISBN 3.540-96101-1 Sachs, H. (ed.): Graphs, Hypergraphs and Applications. Proceedings of the Conference on Graph Theory held in Eyba, Oct. 1984.. 'I'eubner-Texte zur Mathematik 73 Teubner Verlagsgesellschaft Leipzig 1985, 224 S., 23,-M, ISBN 666275-5 Bhat, U. Narayan; Elements of Applied Stochastic Processes. 2. Ed. Jonoh Wilet & Sons New York, Chichester, Brisbane, Toronto, Singapore 1984, IX, 685 p., £ 52.00, ISBN 0-471-87826-X Methods of Operations Research. Bd, 66. Verlag Anton Hain Meisenheim, Königstein 1985, 410 S., DM 120,-, ISBN 3..445..02400..6 Maier, T.: Intervall-Input-Ontput-Rechnung. Mathernat.ical Systems in Economics. 101. Verlag Anton Rain, Meisenheim GmbH InigiteinTs. 1985, X, 338 S., DM 72,-, ISBN 3-445-02399-9. Sawaragi, Y.; H. Nakayama; T. Tanino: Theory of Multi-objective Optimization. Mathematics in Science and Engineering. 176. Academic Press Orlando, San Diego, New York, London, Toronto 1985, 320 pp., $ 48.00, ISBN 0-12-620370-9. Krämer, W.: Trend in ökonometrischen Modellen. Mathematical Systems in Economics. 93. Athenaum/Hain Konigstein 1985, 172 S., DM 48,-, ISBN 3-445-02386-7. 相似文献
14.
《Optimization》2012,61(2-3):317-319
Bauer, H., Maßund Integrationstheorie. De Gruyter Lehrbuch, Walter de Gruyter & Co., Berlin, New York, 1990, XVIII, 259 pp, DM 78, —, ISBN 3-11-012773-3 GB, DM 42, —, (ISBN 3-11-012772-5 KT). ?inlar, E. (ed.), Fitzsimmons, P. J., Williams, R. J. (managing eds.), Seminar on Stochastic Processes, 1990. Progress in Probability, Vol. 24, Birkhaüser Boston, Basel, Berlin 1991, VIII + 351 pp., DM 38,—, ISBN 0-8176-3488-6. Spalt, D. D. (ed.). Rechnen mit dem Unendlichen. Beiträ zur Entwicklung der Nichtstandard Gegenstandes Birkhaüser Verlag Basel, Boston, Berlin, 1990, 243 pp. DM 49.80, ISBN 3-7643-2568-3. 相似文献
15.
Francis Borceux 《Journal of Pure and Applied Algebra》2007,208(2):665-689
A study of lattices of subgroups or subrings adequate for non-commutative homological algebra can be pursued in a setting of weakly exact categories, which extend the Puppe-exact ones [D. Puppe, Korrespondenzen in abelschen Kategorien, Math. Ann. 148 (1962) 1-30; B. Mitchell, Theory of Categories, Academic Press, New York, 1965; P. Freyd, A. Scedrov, Categories, Allegories, North-Holland Publishing Co., Amsterdam, 1990] and the semi-abelian ones [G. Janelidze, L. Márki, W. Tholen, Semi-abelian categories, J. Pure Appl. Algebra 168 (2002) 367-386; F. Borceux, A survey of semi-abelian categories, in: Galois Theory, Hopf Algebras, and Semiabelian Categories, in: Fields Inst. Commun., vol. 43, Amer. Math. Soc., Providence, RI, 2004, pp. 27-60; F. Borceux, D. Bourn, Mal’cev, Protomodular, homological and semi-abelian categories, in: Mathematics and its Applications, vol. 566, Kluwer Academic Publishers, Dordrecht, 2004], and are essentially based on a notion of γ-category introduced by Burgin [M.S. Burgin, Categories with involution and correspondences in γ-categories, Tr. Mosk. Mat. Obs. 22 (1970) 161-228; Trans. Moscow Math. Soc. 22 (1970) 181-257]. In this context, subobjects form w-modular w-lattices, equipped with a normality relation. The free w-modular w-lattice generated by two chains with normality conditions is determined and proved to be weakly distributive, by a construction inspired by the well-known Birkhoff theorem for free modular lattices [G. Birkhoff, Lattice Theory, 3rd ed., in: Amer. Math. Soc. Coll. Publ., vol. 25, 1973]. We show that this theorem is relevant for the study of double filtrations, much in the same way as the Birkhoff theorem in the commutative case; similarly, it should be of use in the study of spectral sequences. 相似文献
16.
《Optimization》2012,61(3):490-495
VAK GELDROP, J. H.:A Mathematical Theory of Pure Exchange Economics without the No-Critical-Point Hypothesis. Mathernatical Centre tracts, 140. Mat.hemabisch Ce ntrum Amsterdam 1981, 108 S., 10 Abb., Dfl. 13.65. J. K. SENGUPTA: Optimal Decisions under Uncertainty. Lecture Notes in Economics and Mathematical Systems, Vol. 193, Brosch., Springer-Verlag, Berlin, Heidelberg, New York, 1981, 156 S., DM 28. LANGROCK, P.;W. JAHN:Einführung in die 'I'heorie der MARKOWSchen Ketten und ihre Anwendungen, Mathematisch-Naturwissenschaftliche Bibliothek Bd. 49. B. G. Teubner Verlagsgesellschaft Leipzig 1979, 268 S., 29,-M. REETZ, D.A.:Kontrahierende endliehe MARKovscbe Entseheldungsprozesse. M + M Wissenschaftsverlag Berlin 1980, 262 S. ROLSKI, T.: Stationary Random Processes Associated with Point Processes. Lecture Notes in Statistics, VoL 5. Berlin, New York 1981, VI + 139 S., DM 25. GILL, P.E.;W. MURRAY, M.M. WRIGHT:Practical Optimization. Academic Press New York, London 1981, XVI + 402 S., ;£ 19.20. 相似文献
17.
Certain almost periodic perturbation systems are considered in this paper. By using the roughness theory of exponential dichotomies and the contraction mapping principle, some sufficient conditions are obtained for the existence and uniqueness of almost periodic solution of the above systems. Our results generalize those in [J.K. Hale, Ordinary Differential Equations, Krieger, Huntington, 1980; C. He, Existence of almost periodic solutions of perturbation systems, Ann. Differential Equations 9 (1992) 173-181; M. Lin, The existence of almost periodic solution and bounded solution of perturbation systems, Acta Math. Sinica 22A (2002) 61-70 (in Chinese); W.A. Coppel, Almost periodic properties of ordinary differential equations, Ann. Math. Pura Appl. 76 (1967) 27-50; A.M. Fink, Almost Periodic Differential Equations, Lecture Notes in Math., vol. 377, Springer-Verlag, New York, 1974; Y. Xia, F. Chen, A. Chen, J. Cao, Existence and global attractivity of an almost periodic ecological model, Appl. Math. Comput. 157 (2004) 449-475]. 相似文献
18.
Agostino Prástaro 《Journal of Mathematical Analysis and Applications》2008,338(2):1140-1151
Following our previous results on this subject [R.P. Agarwal, A. Prástaro, Geometry of PDE's. III(I): Webs on PDE's and integral bordism groups. The general theory, Adv. Math. Sci. Appl. 17 (2007) 239-266; R.P. Agarwal, A. Prástaro, Geometry of PDE's. III(II): Webs on PDE's and integral bordism groups. Applications to Riemannian geometry PDE's, Adv. Math. Sci. Appl. 17 (2007) 267-285; A. Prástaro, Geometry of PDE's and Mechanics, World Scientific, Singapore, 1996; A. Prástaro, Quantum and integral (co)bordism in partial differential equations, Acta Appl. Math. (5) (3) (1998) 243-302; A. Prástaro, (Co)bordism groups in PDE's, Acta Appl. Math. 59 (2) (1999) 111-201; A. Prástaro, Quantized Partial Differential Equations, World Scientific Publishing Co, Singapore, 2004, 500 pp.; A. Prástaro, Geometry of PDE's. I: Integral bordism groups in PDE's, J. Math. Anal. Appl. 319 (2006) 547-566; A. Prástaro, Geometry of PDE's. II: Variational PDE's and integral bordism groups, J. Math. Anal. Appl. 321 (2006) 930-948; A. Prástaro, Th.M. Rassias, Ulam stability in geometry of PDE's, Nonlinear Funct. Anal. Appl. 8 (2) (2003) 259-278; I. Stakgold, Boundary Value Problems of Mathematical Physics, I, The MacMillan Company, New York, 1967; I. Stakgold, Boundary Value Problems of Mathematical Physics, II, Collier-MacMillan, Canada, Ltd, Toronto, Ontario, 1968], integral bordism groups of the Navier-Stokes equation are calculated for smooth, singular and weak solutions, respectively. Then a characterization of global solutions is made on this ground. Enough conditions to assure existence of global smooth solutions are given and related to nullity of integral characteristic numbers of the boundaries. Stability of global solutions are related to some characteristic numbers of the space-like Cauchy data. Global solutions of variational problems constrained by (NS) are classified by means of suitable integral bordism groups too. 相似文献
19.
《School science and mathematics》1969,69(3):269-271
Science Year: The World Book Science Annual–1968. Taber, robert W., la porte, Leon R. and Smith, Ellsworth C. kleiman, louis A. (ed.), Project Icarus. M.I.T. Report No. 13, Interdepartmental Student Project in Systems Engineering, Spring Term, 1967. anastasiou, clifford J., forster, mary and woodrow, janice. ranucci, ernest R., Four by Four. Houghton Mifflin Mathematics Enrichment Series. maher, ramona, Shifting Sands: The Story of Sand Dunes. fitter, richard, Vanishing Wild Animals of the World. jackdaws-facsimile recreations of great episodes in science and history. Jackdaw No. S1-Ronan, Colin (compiler), Newton and Gravitation. Jackdaw No. S3-Crellin, J. K. (compiler). Jackdaw No. S4-Crellin, J. K. (compiler). Holden, Alan, The Nature of Solids. 相似文献
20.
O. V. Borodin 《Journal of Applied and Industrial Mathematics》2011,5(1):31-43
Every planar graph is known to be acyclically 5-colorable (O.V.Borodin, 1976). Some sufficient conditions are also obtained
for a planar graph to be acyclically 4- and 3-colorable. In particular, the acyclic 4-colorability was proved for the following
planar graphs: without 3- and 4-cycles (O.V.Borodin, A.V. Kostochka, and D.R.Woodall, 1999), without 4-, 5-, and 6-cycles,
or without 4-, 5-, and 7-cycles, or without 4-, 5-, and intersecting 3-cycles (M. Montassier, A.Raspaud andW.Wang, 2006),
and without 4-, 5-, and 8-cycles (M. Chen and A.Raspaud, 2009). The purpose of this paper is to prove that each planar graph
without 4- and 5-cycles is acyclically 4-colorable. 相似文献