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References
Bauer, F., and Fike, C.: ‘Norms and exclusion theorems’, Numer. Math. 2 (1960), 137–141.
Deif, A.: Sensitivity analysis in linear systems, Springer, 1986.
Deif, A.: ‘Realistic a priori and a posteriori bounds for computed eigenvalues’, IMA J. Numer. Anal 9 (1990), 323–329.
Deif, A.: Advanced matrix theory for scientists and engineers, 2second ed., Gordon&Breach, 1991.
Deif, A.: ‘Rigorous perturbation bounds for eigenvalues and eigenvectors of a matrix’, J. Comput. Appl. Math. 57 (1995), 403–412.
Deif, A., Seif, N., and Hussein, S.: ‘Sylvester’s equation: accuracy and computational stability’, J. Comput. Appl. Math. 61 (1995), 1–11.
Golub, G., and Loan, C. Van: Matrix computations, John Hopkins Univ. Press, 1983.
Lawson, C., and Hanson, R.: Solving least-squares problems, Prentice-Hall, 1974.
Oettli, W., and Prager, W.: ‘Compatibility of approximate solution of linear equations with given error bounds for coefficients and right hand sides’, Numer. Math. 6 (1964), 405–409.
Skeel, R.: ‘Scaling for numerical stability in Gaussian elimination’, J. Assoc. Comput. Mach. 26 (1979), 494–526.
Stewart, G.: Introduction to matrix computations, Acad. Press, 1973.
Stewart, G., and Sun, J.: Matrix perturbation theory, Acad. Press, 1990.
Wedin, P.: ‘Perturbation theory for pseudo-inverses’, BIT 13 (1973), 217–232.
Wilkinson, J.: The algebraic eigenvalue problem, Clarendon Press, 1965.
Beth, T., Jungnickel, D., and Lenz, H.: Design theory, Cambridge Univ. Press, 1986.
Chen, Y.Q.: ‘On the existence of abelian Hadamard difference sets and generalized Hadamard difference sets’, Finite Fields and Appl. (to appear).
Jungnickel, D., and Pott, A.: ‘Difference sets: Abelian’, in Ch.J. Colbourn and J.H. Dinitz (eds.): CRC Handbook of Combinatorial Designs, CRC Press, 1996, pp. 297–307.
Kraemer, R.G.: ‘Proof of a conjecture on Hadamard 2-groups’, J. Combinatorial Th. A 63 (1993), 1–10.
Pott, A.: Finite geometry and character theory, Vol. 1601 of Lecture Notes in Mathematics, Springer, 1995.
Adler, M., and Moerbeke, P. van: ‘The Kowalewski and Hénon-Heiles motions as Manakov geodesic flows on SO(4): a two-dimensional family of Lax pairs’, Comm. Math. Phys. 113 (1988), 659–700.
Adler, M., and Moerbeke, P. van: ‘The complex geometry of the Kowalewski-Painlevé analysis’, Invent. Math. 97 (1989), 3–51.
Barth, W.: ‘Abelian surfaces with (1, 2)-polarization’: Algebraic Geometry, Sendai, 1985, Vol. 10 of Advanced Studies in Pure Math., 1987, pp. 41–84.
Barth, W.: ‘Quadratic equations for level-3 abelian surfaces’: Abelian Varieties, Proc. Workshop Egloffstein 1993, de Gruyter, 1995, pp. 1–18.
Barth, W., and Nieto, I.: ‘Abelian surfaces of type (1,3) and quartic surfaces with 16 skew lines’, J. Algebraic Geometry 3 (1994), 173–222.
Birkenhake, Ch., and Lange, H.: ‘Moduli spaces of Abelian surfaces wih isogeny’: Geometry and Analysis, Bombay Colloquium 1992, Tata Institute of Fundamental Research, 1995, pp. 225–243.
Birkenhake, Ch., Lange, H., and Straten, D. van: ‘Abelian surfaces of type (1,4)’, Math. Ann. 285 (1989), 625–646.
H. Lange, Ch. Birkenhake: Complex Abelian varieties, Vol. 302 of Grundlehren, Springer, 1992.
Horrocks, G., and Mumford, D.: ‘A rank 2 vector bundle on P4 with 15000 symmetries’, Topology 12 (1973), 63–81.
Hulek, K., and Lange, H.: ‘Examples of abelian surfaces in P4’, J. Reine Angew. Math. 363 (1985), 200–216.
Naruki, I.: ‘On smooth quartic embeddings of Kummer surfaces’, Proc. Japan Acad. 67 A (1991), 223–224.
Nikulin, V. V.: ‘On Kummer surfaces’, Math USSR-Izv. 9 (1975), 261–275. (Translated from the Russian.)
Ramanan, S.: ‘Ample divisors on abelian surfaces’, Proc. London Math. Soc. 51 (1985), 231–245.
Reider, I.: ‘Vector bundles of rank 2 and linear systems on algebraic surfaces’, Ann. of Math. 127 (1988), 309–316.
Vanhaecke, P.: ‘A special case of the Gamier system, (1,4)-polarized Abelian surfaces and their moduli’, Compositio Math. 92 (1994), 157–203.
Moore, C.H.: Summable series and convergence factors, Dover, reprint, 1966.
Bradley, R.C.: ‘Basic properties of strong mixing conditions’, in E. Eberlein and M.S. Taqqu (eds.): Dependence in Probability and Statistics, Birkhäuser, 1986, pp. 165–192.
Doukhan, P.: Mixing, Vol. 85 of Lecture Notes in Statistics, Springer, 1995.
Heinrich, L.: ‘Bounds for the absolute regularity coefficient of a stationary renewal process’, Yokohama Math. J. 40 (1992), 25–33.
Heinrich, L.: ‘Normal approximation for some mean-value estimates of absolutely regular tesselations’, Methods Math. Statist. 3 (1994), 1–24.
Veretennikov, A.Yu.: ‘Bounds for the mixing rate in the theory of stochastic equations’, Th. Prob. Appl. 32 (1987), 273–281.
VolkonskiÏ, V.A., and Rozanov, Yu.A.: ‘Some limit theorems for random functions F, Th. Prob. Appl. 4 (1959), 178–197.
Yoshihara, K.-I.: ‘Limiting behaviour of U-statistics for stationary absolutely regular processes’, Z. Wahrscheinlichkeit-sth. verw. Gebiete 35 (1976), 237–252.
Diestel, J., Jarchow, H., and Tonge, A.: Absolutely summing operators, Cambridge Univ. Press, 1995.
Jameson, G.J.O.: Summing and nuclear norms in Banach space theory, Cambridge Univ. Press, 1987.
Pietsch, A.: Operator ideals, North-Holland, 1980.
Berenger, J.P.: ‘A perfectly matched layer for the absorption of electromagnetic waves’, J. Comp. Phys. 114 (1994), 185–200.
Cerjan, C., Kosloff, D., Kosloff, R., and Reshef, M.: ‘A non-reflecting boundary condition for discrete acoustic and elastic wave equations’, Geophysics 50 (1985), 705–708.
Clayton, R.W., and Engquist, B.: ‘Absorbing boundary conditions for acoustic and elastic wave equations’, Bull. Seis. Soc. Amer. 67 (1977), 1529–1540.
Engquist, B., and Majda, A.: ‘Radiation boundary conditions for acoustic and elastic wave calculations’, Comm. Pure Appl. Math. 32 (1979), 313–357.
Halpern, L., and Trefethen, L.N.: ‘Wide-angle one-way wave equations’, J. Acoust. Soc. Amer. 84 (1988), 1397–1404.
Lindman, E.L.: ‘Free space boundary conditions for the time dependent wave equation’, J. Comp. Phys. 18 (1975), 66–78.
Mur, G.: ‘Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic field equations’, IEEE Trans. Electromagn. Compat. 23 (1981), 377–382.
Renaut, R.A., and Fröhlich, J.: ‘A pseudospectral Cheby-chev method for the 2D wave equation with domain stetching and absorbing boundary conditions’, J. Comp. Physics 124 (1996), 324–336.
Renaut, R.A., and Peterson, J.: ‘Stability of wide-angle absorbing boundary conditions for the wave equation’, Geophysics 54 (1989), 1153–1163.
Renaut, R. A.: ‘Absorbing boundary conditions, difference operators and stability’, J. Comp. Phys. 102 (1992), 236–251.
Reynolds, A.C.: ‘Boundary conditions for the numerical solution of wave propagation problems’, Geophysics 43 (1978), 1099–1110.
Tirkas, P.A., Balanis, C.A., and Renaut, R.A.: ‘Higher order absorbing boundary conditions for the finite-difference time-domain method’, IEEE Trans. Antennas and Propagation 40, no. 10 (1992), 1215–1222.
Altomare, F., and Campiti, M.: Korovkin-type approximation theory and its applications, W. de Gruyter, 1994.
Asimow, L., and Ellis, A.J.: Convexity theory and its applications in functional analysis, Acad. Press, 1980.
Keimel, K., and Roth, W.: Ordered cones and approximation, Vol. 1517 of Lecture Notes in Mathematics, Springer, 1992.
Korovkin, P.P.: Linear operators and approximation theory, Vol. Ill of Russian Monographs and Texts on advanced Math., Gordon&Breach, 1960.
Prolla, J.B.: Approximation of vector valued functions, North-Holland, 1977.
Roth, W.: ‘A Korovkin type theorem for weighted spaces of continuous functions’, Bull. Austral. Math. Soc. 55 (1997), 239–248.
Ginsburg, S.: Algebraic and automata-theoretic properties of formal languages, North-Holland, 1975.
Ginsburg, S., Greibach, S., and Hopcroft, J.: Studies in abstract families of languages, Vol. 87 of Memoirs, Amer. Math. Soc, 1969.
Mateescu, A., and Salomaa, A.: ‘Aspects of classical language theory’, in G. Rozenberg and A. Salomaa (eds.): Handbook of Formal Languages, Vol. 1, Springer, 1997, pp. 175–251.
Nivat, M.: ‘Transduction des langages de Chomsky’, Ann. Inst. Fourier Grenoble 18 (1968), 339–455.
Salomaa, A.: Formal languages, Acad. Press, 1973.
Azbelev, N.V., Maksimov, V.P., and Rakhmatullina, L.F.: Introduction to the theory of functional differential equations, Nauka, 1991. (In Russian.)
Barbu, V.: Nonlinear semigroups and differential equations in Banach spaces, Noordhoff, 1976.
Bugheim, A.L.: Introduction to the theory of inverse problems, Nauka, 1988. (In Russian.)
Corduneanu, C.: Integral equations and applications, Cambridge Univ. Press, 1991.
Corduneanu, C.: ‘Equations with abstract Volterra operators and their control’: Ordinary Differential Equations and their Applications, Firenze-Bologna, 1995.
Gokhberg, I.C., and Krein, M.G.: Theory of Volterra operators in Hilbert space and its applications, Nauka, 1967. (In Russian.)
Gripenberg, G., Londen, S.O., and Staffans, O.: Volterra integral and functional equations, Cambridge Univ. Press, 1990.
Neustadt, L.: Optimization (a theory of necessary conditions), Princeton Univ. Press, 1976. Pruss, J.: Evolutionary integral equations, Birkhäuser, 1993.
Renardy, M., Hrusa, W.J., and Nohel, J.A.: Mathematical problems in viscoelasticity, Longman, 1987.
Sandberg, I.W.: ‘Expansions for nonlinear systems, and Volterra expansions for time-varying nonlinear systems’, Bell System Techn. J. 61 (1982), 159–225.
Schetzen, M.: The Volterra and Wiener theories of nonlinear systems, Wiley, 1980.
Tonelli, L.: ‘Sulle equazioni funzionali di Volterra’, Bull. Calcutta Math. Soc. 20 (1929).
Tychonoff, A.N.: ‘Sur les équations fonctionnelles de Volterra et leurs applications à certains problèmes de la physique mathématique’, Bull. Univ. Moscou Ser. Internat. Al, no. 8 (1938).
Volterra, V.: Opere Matematiche, Vol. 1–3, Accad. Naz. Lincei, 1954–1955.
Azbelev, N.V., Maksimov, V.P., and Rakhmatullina, L.F.: Introduction to the theory of functional differential equations, Nauka, 1991. (In Russian.)
Barbu, V.: Nonlinear semigroups and differential equations in Banach spaces, Noordhoff, 1976.
Bugheim, A.L.: Introduction to the theory of inverse problems, Nauka, 1988. (In Russian.)
Corduneanu, C.: Integral equations and applications, Cambridge Univ. Press, 1991.
Corduneanu, C.: ‘Equations with abstract Volterra operators and their control’: Ordinary Differential Equations and their Applications, Firenze-Bologna, 1995.
Gokhberg, I.C., and Krein, M.G.: Theory of Volterra operators in Hilbert space and its applications, Nauka, 1967. (In Russian.)
Gripenberg, G., Londen, S.O., and Staffans, O.: Volterra integral and functional equations, Cambridge Univ. Press, 1990.
Neustadt, L.: Optimization (a theory of necessary conditions), Princeton Univ. Press, 1976.
Pruss, J.: Evolutionary integral equations, Birkhäuser, 1993.
Renardy, M., Hrusa, W.J., and Nohel, J.A.: Mathematical problems in viscoelasticity, Longman, 1987.
Sandberg, I.W.: ‘Expansions for nonlinear systems, and Volterra expansions for time-varying nonlinear systems’, Bell System Techn. J. 61 (1982), 159–225.
Schetzen, M.: The Volterra and Wiener theories of nonlinear systems, Wiley, 1980.
Tonelli, L.: ‘Sulle equazioni funzionali di Volterra’, Bull. Calcutta Math. Soc. 20 (1929).
Tychonoff, A.N.: ‘Sur les équations fonctionnelles de Volterra et leurs applications à certains problèmes de la physique mathématique’, Bull. Univ. Moscou Ser. Internat. A1, no. 8 (1938).
Volterra, V.: Opere Matematiche, Vol. 1–3, Accad. Naz. Lincei, 1954–1955.
Kleinstein, J., and Rosenberg, A.: ‘Succinct and representational Witt rings’, Pacific J. Math. 86 (1980), 99 – 137.
Marshall, M.: Abstract Witt rings, Queen’s Univ., 1980.
Meeker, W.Q., and Escobar, L.A.: ‘A review of recent research and current issues in accelerated testing’, Int. Statist. Rev. 61, no. 1 (1993).
Nelson, W.: Accelerated testing: statistical models, test plans, and data analyses, Wiley, 1990.
Viertl, R.: Statistical methods in accelerated life testing, Vandenhoeck and Ruprecht, 1988.
Viertl, R.: Statistical methods for non-precise data, CRC Press, 1996.
Viertl, R., and Gurker, W.: ‘Reliability estimation based on fuzzy life time data’, in T. Onisawa and J. Kacprzyk (eds.): Reliability and Safety Analyses under Fuzziness, Physica-Verlag, 1995.
Axelsson, O.: Iterative solution methods, Cambridge, New York, 1994.
Gustafson, K.: Lectures on computational fluid dynamics, mathematical physics, and linear algebra, Kaigai & World Sci., 1996/7.
Hackbusch, W.: Iterative solution of large sparse systems of equations, Springer, 1994.
Saad, Y.: Numerical methods for large eigenvalue problems, Halsted, 1992.
Saad, Y.: Iterative methods for sparse linear systems, PWS Publishing, 1996.
Eringen, A.C., and Suhubi, E.S.: Elastodynamics, Vol. I, Acad. Press, 1975.
Hadamard, J.: Leçons sur la propagation des ondes et les équations de l’hydrodynamique, Dunod, 1903.
McCarthy, M.F.: ‘Singular surfaces and waves’, in A.C. Eringen (ed.): Continuum Physics II: Continuum Mechanics of Single Surface Bodies, Acad. Press, 1975.
Wang, C.-C., and Truesdell, C.: Introduction to rational elasticity, Noordhof, 1973.
Montgomery, D.: Introduction to statistical quality control, 2second ed., Wiley, 1991.
Keefe, G.: ‘Attribute sampling — MIL-STD-105’, Industrial Quality Control (1963), 7–12.
Montgomery, D.: Introduction to statistical quality control, 2second ed., Wiley, 1991.
Montgomery, D.: Introduction to statistical quality control, 2second ed., Wiley, 1991.
Hermes, H.: ‘On local and global controllability’, SI AM J. Control 12, no. 2 (1974), 252–261.
Jurjevic, V.: ‘Certain controllability properties of analytic control systems’, SI AM J. Control 10, no. 2 (1972), 354–360.
Lobry, C.: ‘Dynamical polysystems and control theory’, in D.Q. Mayne and R.W. Brockett (eds.): Geometric Methods in System Theory. Proc. NATO Advanced Study Institute, London, August 27-September 7, 1973, D. Reidel, 1973, pp. 1–42.
Sussmann, H.J., and Jurjevic, V.: ‘Controllability of nonlinear systems’, J. Differential Equations 12 (1972), 95–116.
Budhiraja, A., and Kallianpur, G.: ‘Multiple Ogawa integrals, multiple Stratonovich integrals and the generalized Hu-Meyer formula’, Techn. Report Dep. Stat. Univ. North Carolina 442 (1994).
Hida, T., Kuo, H.H., Potthoff, J., and Streit, L.: White noise. An infinite dimensional calculus, Kluwer Acad. Publ., 1993.
Iked, A., N., and Watanabe, S.: Stochastic differential equations and diffusion processes, 2second ed., North-Holland, 1989.
Johnson, G.W., and Kallianpur, G.: ‘Homogeneous chaos, p-forms, scaling and the Feynman integral’, Trans. Amer. Math. Soc. 340 (1993), 503–548.
Kallianpur, G.: Stochastic filtering theory, Springer, 1980.
Kallianpur, G., and Karandikar, R.L.: White noise theory of prediction, filtering and smoothing, Gordon&Breach, 1988.
Kallianpur, G., and Karandikar, R.L.: ‘Nonlinear transformations of the canonical Gauss measure on Hilbert space and absolute continuity’, Acta Math. Appl. 35 (1994), 63–102.
Bush, W.B., and Fendell, F.E.: ‘Asymptotic analysis of laminar flame propagation for general Lewis numbers’, Comb. Sci. and Technol. 1 (1970), 421.
Zel’dovich, Ya.B., Barenblatt, G.I., Librovich, V.B., and Makhviladze, G.M.: The mathematical theory of combustion and explosions, Consultants Bureau, 1985. (Translated from the Russian.)
Zel’dovich, Y.B., and Frank-Kamenetskii, D.A.: ‘The theory of thermal flame propagation’, Zhur. Fiz. Khim. 12 (1938), 100. (In Russian.)
Alperin, R.C., and Berrick, A.J.: ‘Linear representations of binate groups’, J. Pure Appl. Algebra 94 (1994), 17–23.
Baumslag, G., Dyer, E., and Heller, A.: ‘The topology of discrete groups’, J. Pure Appl. Algebra 16 (1980), 1–47.
Baumslag, G., and Gruenberg, K.W.: ‘Some reflections on cohomological dimension and freeness’, J. Algebra 6 (1967), 394–409.
Berrick, A.J.: An approach to algebraic K-theory, Pitman, 1982.
Berrick, A.J.: ‘Two functors from abelian groups to perfect groups’, J. Pure Appl. Algebra 44 (1987), 35–43.
Berrick, A.J.: ‘Universal groups, binate groups and acyclicity’: Proc. 1987 Singapore Group Theory Conf., W. de Gruyter, 1989.
Berrick, A.J.: ‘Remarks on the structure of acyclic groups’, Bull. London Math. Soc. 22 (1990), 227–232.
Berrick, A.J.: ‘Groups with no nontrivial linear representations’, Bull. Austral. Math. Soc. 50 (1994), 1–11.
Berrick, A. J.: ‘Corrigenda: Groups with no nontrivial linear representations’, Bull. Austral. Math. Soc. 52 (1995), 345–346.
Berrick, A.J., and Casacuberta, C.: ‘A universal space for plus-constructions’, Topology (to appear).
Berrick, A.J., and Miller, III, C.F.: ‘Strongly torsion generated groups’, Proc. Cambridge Philos. Soc. 111 (1992), 219–229.
Harpe, P. de la, and McDuff, D.: ‘Acyclic groups of automorphisms’, Comment. Math. Helv. 58 (1983), 48–71.
Epstein, D.B.A.: ‘A group with zero homology’, Proc. Cambridge Philos. Soc. 68 (1968), 599–601.
Greenberg, P., and Sergiescu, V.: ‘An acyclic extension of the braid group’, Comment. Math. Helv. 66 (1991), 109–138.
Heller, A.: ‘On the homotopy theory of topogenic groups and groupoids’, Illinois Math. J. 24 (1980), 576–605.
Higman, G.: ‘A finitely generated infinite simple group’, J. London Math. Soc. 26 (1951), 61–64.
Kan, D.M., and Thurston, W.P.: ‘Every connected space has the homology of a K(n, 1)’, Topology 15 (1976), 253–258.
Mather, J.N.: ‘The vanishing of the homology of certain groups of homeomorphisms’, Topology 10 (1971), 297–298.
Sankaran, P., and Varadarajan, K.: ‘Acyclicity of certain homeomorphism groups’, Canad. J. Math. 42 (1990), 80–94.
Segal, G.B.: ‘Classifying spaces related to foliations’, Topology 17 (1978), 367–382.
Wagoner, J.B.: ‘Develop** classifying spaces in algebraic K-theory’, Topology 11 (1972), 349–370.
Aigner, M., Triesch, E., and Tuza, Zs.: ‘Searching for acyclic orientations of graphs’, Discrete Math. 144 (1995), 3–10.
Alon, N., and Tuza, Zs.: ‘The acyclic orientation game on random graphs’, Random Structures Algorithms 6 (1995), 261–268.
Chvatal, V.: ‘Perfectly ordered graphs’: Topics on perfect graphs, Vol. 88 of North-Holland math, stud., North-Holland, 1984, pp. 63–65.
Fisher, D.C., Fraughnaugh, K., Langley, L., and West, D.B.: ‘The number of dependent edges in an acyclic orientation’, J. Comb. Theory Appl. (to appear).
Gallai, T.: ‘On directed paths and circuits’, in P. Erdos AND G. Katona (eds.): Theory of Graphs (Proc. Tihany 1966), Acad. Press, 1968, pp. 115–118.
Greene, C.: ‘Acyclic orientations’, in M. Aigner (ed.): Higher combinatorics, Proc. NATO Adv. Study Inst. (1976), Reidel, 1977, pp. 65–68.
Minty, G.J.: ‘A theorem on n-coloring the points of a linear graph’, Amer. Math. Monthly 69 (1962), 623–624.
Pruesse, G., and Ruskey, F.: ‘The prism of the acyclic orientation graph is Hamiltonian’, Electron. J. Combin. 2(1995).
Roy, B.: ‘Nombre chromatique et plus longs chemins d’un graphe’, Rev. Française Automat. Informat. Recherche Operationelle Ser. Rouge 1 (1967), 127–132.
Savage, C.D., and Zhang, C.-Q.: ‘A note on the connectivity of acyclic orientation graphs’, Discrete Math, (to appear).
Stanley, R.P.: ‘Acyclic orientations of graphs’, Discrete Math. 5 (1973), 171–178.
Stanley, R.P.: ‘A symmetric function generalization of the chromatic polynomial of a graph’, Adv. Math. 111 (1995), 166–194.
Vertigan, D.L., and Welsh, D.J.A.: ‘The computational complexity of the Tutte plane: the bipartite case’, Combin. Probab. Comput. 1 (1992), 181–187.
Vitaver, L.M.: ‘Determination of minimal coloring of vertices of a graph by means of Boolean powers of the incidence matrix’, Dokl. Akad. Nauk. SSSR 147 (1962), 758–759. (In Russian.)
Zaslavsky, T.: ‘Orientation of signed graphs’, European J. Combin. 12 (1991), 361–375.
Adams, J.F.: ‘On the groups J(X). I’, Topology 2 (1963), 181–195.
Becker, J., and Gottlieb, D.: ‘The transfer map and fiber bundles’, Topology 14 (1975), 1–12.
Friedlander, E.: ‘Fibrations in etale homotopy theory’, IHES Publ. Math. 42 (1972).
Quillen, D.G.: ‘Some remarks on etale homotopy theory and a conjecture of Adams’, Topology 7 (1968), 111–116.
Quillen, D.G.: ‘The Adams conjecture’, Topology 10 (1971), 67–80.
Adams, J.F., and Hilton, P.J.: ‘On the chain algebra of a loop space’, Comment. Math. Helv. 30 (1955), 305–330.
Anick, D.J.: ‘Hopf algebras up to homotopy’, J. Amer. Math. Soc. 2 (1989), 417–453.
Félix, Y., and Lemaire, J.-M.: ‘On the Pontrjagin algebra of the loops on a space with a cell attached’, Internat. J. Math. 2 (1991).
Félix, Y., and Thomas, J.-C.: ‘Module d’holonomie d’une fibration’, Bull. Soc. Math. France 113 (1985), 255–258.
Halperin, S., Félix, Y., and Thomas, J.-C.: Rational homotopy theory, Univ. Toronto, 1996.
Hess, K., and J.-M -Lemaire: ‘Nice and lazy cell attachments’, J. Pure and Applied Algebra 112 (1996), 29–39.
Davis, P.J., and Rabinowitz, P.: Methods of numerical integration, 2second ed., Acad. Press, 1984.
Krommer, A.R., and Ueberhuber, C.W.: Numerical integration on advanced computer systems, Vol. 848 of Lecture Notes in Computer Science, Springer, 1994.
Novak, E.: ‘On the power of adaption’, J. Complexity 12 (1196), 199–237.
Piessens, R., Doncker-Kapenga, E. de, Überhuber,C.W., and Kahaner, D.K.: Quadpack, Springer, 1983.
Traub, J.F., Wasilkowski, G.W., and Wozniakowski, H.: Information-based complexity, Acad. Press, 1988.
Zwillinger, D.: Handbook of integration, Jones and Bartlett, 1992.
Strehmel, K., and Weiner, R.: ‘Partitioned adaptive Runge-Kutta methods and their stability’, Numer. Math. 45 (1984), 283–300.
Strehmel, K., and Weiner, R.: ‘B-convergence results for linearly implicit one step methods’, BIT 27 (1987), 264–281.
Flajolet, P.: ‘On adaptive sampling’, Computing 34 (1990), 391–400.
Flajolet, P., and Martin, G.N.: ‘Probabilistic counting algorithms for data base applications’, J. Computer and System Sci. 31, no. 2 (1985), 182–209.
Knuth, D.E.: The art of computer programming, Vol. 3. Sorting and Searching, Addison-Wesley, 1973.
Lum, V.Y., Yuen, P.S.T., and Dodd, M.: ‘Key to address transformations: a fundamental study based on large existing format files’, Commun. ACM 14 (1971), 228–239.
Motwani, R., and Raghavan, P.: Randomized algorithms, Cambridge Univ. Press, 1995.
Sedgewick, R.: Algorithms, 2second ed., Addison-Wesley. 1988.
Aström, K.J.: ‘Adaptive feedback control’, Proc. IEEE 75 (1987), 185–217.
Aström, K.J., and Wittenmark, B.: Adaptive control, Addison-Wesley, 1989.
Fradkov, A.L.: ‘Continuous-time model reference adaptive systems, an east-west review’: Proc. IFAC Symp. Adaptive Control and Signal Processing (Grenoble, France, July 1992), 199?
Ioannou, P.A., and Sun, J.: Robust adaptive control, Prentice-Hall, 1996.
Narendra, K.S.: ‘The maturing of adaptive control’, in P.V. Kokotovic (ed.): Foundations of Adaptive Control, Vol. 160 of Lecture Notes on Control and Information Systems, Springer, 1991, pp. 3–36.
Narendra, K.S., and Annaswamy, A.M.: Stable adaptive systems, Prentice-Hall, 1989.
Ortega, R., and Yu, T.: ‘Robustness of adaptive controllers: a survey’, Automaica 25 (1989), 651–678.
Sastry, S., and Bodson, M.: Adaptive control: Stability, convergence and robustness, Prentice-Hall, 1989.
Askey, R.: Orthogonal polynomials and special functions, Vol. 21 of Reg. Conf. Ser. Appl. Math., SIAM, 1975.
Koelink, E.: ‘Addition formuleis for q-special functions’, in M.E.H. Ismail et al. (ed.): Special Functions, q-Series and Related Topics, Vol. 14 of Fields Inst. Commun., Amer. Math. Soc, 1997, pp. 109–209.
Stanton, D.: ‘Orthogonal polynomials and Chevalley groups’, in R.A. Askey et al. (eds.): Special Functions: Group Theoretical Aspects and Applications, 1984, pp. 87–128.
Vilenkin, N.J.: Special functions and the theory of group representations, Vol. 22 of Transi. Math. Monographs, Amer. Math. Soc, 1968. (Translated from the Russsian.)
Vilenkin, N.J., and Klimyk, A.U.: Representation of Lie groups and special functions, Kluwer Acad. Publ., 1991–1993. (Translated from the Russsian.)
Watson, G.N.: Theory of Bessel functions, 2second ed., Cambridge Univ. Press, 1944.
Przeslawski, K., and Yost, D.: ‘Continuity properties of selectors and Michael’s theorem’, Michigan Math. J. 36 (1989), 113–134.
Schneider, R.: Convex bodies: the Brunn-Minkowski theory, Cambridge Univ. Press, 1993.
Vitale, R.A.: ‘The Steiner point in infinite dimensions’, Israel J. Math. 52 (1985), 245–250.
Zivaljevic., R.: ‘Extremal Minkowski additive selections of compact convex sets’, Proc. Amer. Math. Soc. 105 (1989), 697–700.
Bratijchuk, N.S., and Gusak, D.V.: Boundary problems for processes with independent increments, Naukova Dumka, 1990. (In Russian.)
Grigelionis, B.: ‘Martingale characterization of stochastic processes with independent increments’, Lietuvos Mat. Rinkinys 17 (1977), 75–86. (In Russian.)
Skorokhod, A.V.: Random processes with independent increments, Kluwer Acad. Publ., 1991. (Translated from the Russian.)
Bonotto, C.: ‘Synonymy for Bressan’s modal calculus MC v . i Part I: A synonymy relation for MC v Atti 1st. Veneto di Sci., Lettere ed Arti CXL (1982), 11–24.
Bonotto, C.: ‘Synonymy for Bressan’s modal calculus MC v . Part II: A sufficient criterium’, Atti Ist. Veneto di Sci., Lettere ed Arti CXL (1982), 85–99.
Bonotto, C.: ‘An adequacy theorem for the quasi-senses: used in certain theories which are extensional, modal, or strongly intensional’, Atti Ist. Veneto di Sci., Lettere ed Arti CXLVII (1988–89), 31–39.
Bonotto, C.: ‘A generalization of the adequacy theorem for the quasi-senses’, Notre Dame J. Formal Logic 31 (1990), 560–575.
Bonotto, C., and Bressan, A.: ‘On generalized synonymy notions and corresponding quasi-senses’, Mem. Atti Accad. Naz. Lincei (VIII), Sect. I 17 (1984), 163–209.
Bressan, A.: A general interpreted modal calculus, Yale Univ. Press, 1972.
Bressan, A.: On the interpreted sense calculus (math) in G. Dorn and P. Weingartner (eds.): Foundations of Logic and Linguistic, Plenum, 1985, pp. 427–463.
Carnap, R.: Meaning and necessity, Chicago Univ. Press, 1947.
Carnap, R.: ‘Meaning and synonymy in natural languages’, Philosophical Studies 6 (1955), 33–47.
Church, A.: ‘A formulation of the logic of sense and denotation’: Structure, Method, and Meaning. Essays in honor of H. Sheffer, Liberal Art Press, 1951.
Cresswell, M.J.: Structured meanings, MIT, 1985.
Kaplan, D.: ‘How to Russell a Frege-Church’, J. Philosophy 72 (1975), 716–729.
Lewis, D.K.: ‘General semantics’, Synthese 22 (1972), 18–67.
Parsons, T.: ‘Intensional logic in extensional language’, J. Symbolic Logic 47 (1982), 289–328.
Bathe, K.J. (ed.): Nonlinear finite element analysis and DINA. Computers and Structures. 9–1 lth ADINA Conf. Proc, Vol. 47 (4/5); Pergamon, 1993–1997
Bathe, K.J. (ed.): Nonlinear finite element analysis and DINA. Computers and Structures. 9–1 lth ADINA Conf. Proc 56 (2/3); Pergamon, 1993–1997
Bathe, K.J. (ed.): Nonlinear finite element analysis and DINA. Computers and Structures. 9–1 lth ADINA Conf. Proc 64 (5/6), Pergamon, 1993–1997.
Bathe, K.J.: Finite element procedures, Prentice-Hall, 1996.
Bathe, K.J.: ‘Simulation of structural and fluid flow response in engineering practice’, Computer Modelling and Simulationin Engineering 1 (1996), 47–77.
Inc., ADINA R&D: ADINA: Theory and Modeling Guide, Reports ARD 97–7; 97–8. ADINA R&D Inc., 1997.
Clément, Ph., Diekmann, O., Gyllenberg, M., Heijmans, H.J.A.M., and Thieme, H.R.: ‘Perturbation theory for dual semigroups, Part I: The sun-reflexive case’, Math. Ann. 277 (1987), 709–725.
Pagter, B. de: ‘A characterization of sun-reflexivity’, Math. Ann. 283 (1989), 511–518.
Pagter, B. de: ‘A Wiener-Young type theorem for dual semigroups’, Acta Appl. Math. 27 (1992), 101–109.
Grabosch, A., and Nagel, R.: ‘Order structure of the semigroup dual: A counterexample’, Indagationes Mathematicae 92 (1989), 199–201.
Phillips, R.S.: ‘The adjoint semi-group’, Pacific J. Math. 5 (1955), 269–283.
Neerven, J.M.A.M. Van: The adjoint of a semigroup of linear operators, Vol. 1529 of Lecture Notes in Mathematics, Springer, 1992.
Neerven, J.M.A.M. van: ‘A dichotomy theorem for the adjoint of a semigroup of operators’, Proc. Amer. Math. Soc. 119 (1993), 765–774.
Neerven, J.M.A.M. van, and Pagter, B. de: ‘The adjoint of a positive semigroup’, Comp. Math. 90 (1994), 99–118.
Neerven, J.M.A.M. van, Pagter, B. de, and Schep, A.R.: ‘Weak measurability of the orbits of an adjoint semigroup’, in G. Ferreyra, G.R. Goldstein, and F. Neubrander (eds.): Evolution Equations, Vol. 168 of Lecture Notes in Pure and Appl. Math., M. Dekker, 1994, pp. 327–336.
Beltrametti, M.C., and Sommese, A.J.: The adjunction theory of complex projective varieties, Vol. 16 of Expositions in Mathematics, De Gruyter, 1995.
Beltrametti, M.C., and Sommese, A.J.: ‘On the dimension of the adjoint linear system for threefolds’, Ann. Scuola Norm. Sup. Pisa Cl. Sci. Ser. (4) XXII (1995), 1–24.
Beltrametti, M.C., Sommese, A.J., and Wisniewski, J.A.: ‘Results on varieties with many lines and their applications to adjunction theory (with an appendix by M.C. Beltrametti and A.J. Sommese)’, in K. Hulek, T. Peternell, M. Schneider, and F.-O. Schreyer (eds.): Complex Algebraic Varieties, Bayreuth 1990, Vol. 1507 of Lecture Notes in Mathematics, Springer, 1992, pp. 16–38.
Fujita, T.: Classification theories of polarized varieties, Vol. 155 of London Math. Soc. Lecture Notes, Cambridge Univ. Press, 1990.
Roth, L.: Algebraic threefolds with special regard to problems of rationality, Springer, 1955.
Sommese, A.J.: ‘Hyperplane sections of projective surfaces, I: The adjunction map**’, Duke Math. J. 46 (1979), 377–401.
Blackadar, B.: K-theory for operator algebras, Vol. 5 of M SRI publication, Springer, 1986.
Bratteli, O.: ‘Inductive limits of finite-dimensional C*-algebras’, Trans. Amer. Math. Soc. 171 (1972), 195–234.
Bratteli, O., and Robinson, D.W.: Operator algebras and quantum statistical mechanics, Vol. II, Springer, 1981.
Effros, E.: Dimensions and C* -algebras, Vol. 46 of CBMS Regional Conf. Ser. Math., Amer. Math. Soc, 1981.
Effros, E., Handelman, D., and Shen, C.-L.: ‘Dimension groups and their affine representations’, Amer. J. Math. 102 (1980), 385–407.
Elliott, G.A.: ‘On the classification of inductive limits of sequences of semisimple finite-dimensional algebras’, J. Algebra 38 (1976), 29–44.
Elliott, G.A.: ‘The classification problem for amenable C*-algebras’: Proc. Internat. Congress Mathem. (Zürich, 1994), Birkhäuser, 1995, pp. 922–932.
Glimm, J.: ‘On a certain class of operator algebras’, Trans. Amer. Math. Soc. 95 (1960), 318–340.
Pimsner, M., and Voiculescu, D.: ‘Imbedding the irrational rotation algebras into AF-algebras’, J. Operator Th. 4 (1980), 201–210.
Berstel, J.: Transductions and context-free languages, Teubner, 1979.
Ginsburg, S.: Algebraic and automata-theoretic properties of formal languages, North-Holland, 1975.
Ginsburg, S., and Greibach, S.A.: ‘Abstract families of languages’, in S. Ginsburg, S.A. Greibach, and J.E. Hopcroft (eds.): Studies in Abstract Families of Languages, Vol. 87 of Memoirs, Amer. Math. Soc, 1969.
Hopcroft, J.E., and Ullman, J.D.: Introduction to automata theory, languages, and computation, Addison-Wesley, 1979.
Rozenberg, G., and Salomaa, A. (eds.): Handbook of Formal Languages, Springer, 1997.
Salomaa, A.: Formal languages, Acad. Press, 1973.
Ahlswede, R., and Daykin, D.E.: ‘An inequality for the weights of two families, their unions and intersections’, Z. Wahrsch. verw. Gebiete 43 (1978), 183–185.
Bollobás, B.: Combinatorics, Cambridge Univ. Press, 1986.
Fishburn, P.C.: ‘A correlational inequality for linear extensions of a poset’, Order 1 (1984), 127–137.
Fishburn, P.C.: ‘Correlation in partially ordered sets’, Discrete Appl. Math. 39 (1992), 173–191.
Fishburn, P.C., Doyle, P.G., and Shepp, L.A.: ‘The match set of a random permutation has the FKG property’, Ann. of Probab. 16 (1988), 1194–1214.
Fortuin, C.M., Kasteleyn, P.N., and Ginibre, J.: ‘Correlation inequalities for some partially ordered sets’, Comm. Math. Phys. 22 (1971), 89–103.
Graham, R.L.: ‘Applications of the FKG inequality and its relatives’: Proc. 12th Internat. Symp. Math. Programming, Springer, 1983, pp. 115–131.
Shepp, L.A.: ‘The XYZ conjecture and the FKG inequality’, Ann. of Probab. 10 (1982), 824–827.
Goldberg, V.V.: Theory of multicodimensional (n+l)-webs, Kluwer Acad. Publ., 1988.
Goldberg, V.V.: ‘Local differentiable quasigroups and webs’, in O. Chein, H.O. Pflugfelder, and J.D.H. Smith (eds.): Quasigroups and Loops — Theory and Applications, Heldermann, 1990, pp. 263–311.
Hofmann, K.H., and Strambach, K.: ‘The Akivis algebra of a homogeneous loop’, Mathematika 33 (1986), 87–95.
Hofmann, K.H., and Strambach, K.: ‘Topological and analytic loops’, in O. Chein, H.O. Pflugfelder, and J.D.H. Smith (eds.): Quasigroups and Loops — Theory and Applications, Heldermann, 1990, pp. 205–262.
Miheev, P.O., and Sabinin, L.V.: ‘Quasigroups and differential geometry’, in O. Chein, H.O. Pflugfelder, and J.D.H. Smith (eds.): Quasigroups and Loops — Theory and Applications, Heldermann, 1990, pp. 357–430.
Alfvén, H.O.G.: ‘On the existence of electromagnetic-hydrodynamic waves’, Ark. Mat. Astron. Fys. A29 (1942), 1–7.
Alfvén, H.O.G.: ‘Granulation, magnetohydrodynamic waves and the heating of the solar corona’, Monthly Notices Roy. Astron. Soc. 107 (1947), 201–211.
Alfvén, H.O.G.: Cosmical electrodynamics, Oxford Univ. Press, 1948.
Alfvén, H.O.G., and Falthammar, C.G.: Cosmical electrodynamics, Oxford Univ. Press, 1962.
Cabannes, H.: Magneto-fluid dynamics, Acad. Press, 1970.
Campos, L.M.B.C.: ‘On the generation and radiation of magneto-acoustic waves’, J. Fluid Mech. 81 (1977), 529–534.
Campos, L.M.B.C.: ‘On magneto-acoustic-gravity waves propagating or standing vertically in an atmosphere’, J. Phys. A 16 (1983), 217–237.
Campos, L.M.B.C.: ‘On viscous and resistive dissipation of hydrodynamic and hydromagnetic waves in atmospheres’, J. Mech. Theor. Appl. 2 (1983), 861–891.
Campos, L.M.B.C.: ‘On waves in gases. Part II: Interaction of sound with magnetic and internal modes’, Rev. Mod. Phys. 59 (1987), 363–462.
Campos, L.M.B.C.: ‘On oblique Alfvén waves in a viscous and resistive atmosphere’, J. Phys. A 21 (1988), 2911–2930.
Campos, L.M.B.C.: ‘On oscillations in sunspot umbras and wave radiation in stars.’, Monthly Notices Roy. Astron. Soc. 241 (1989), 215–229.
Campos, L.M.B.C.: ‘On the dissipation of Alfvén waves in uniform and non-uniform magnetic fields’, Geophys. Astro- phys. Fluid Dyn. 48 (1990), 193–215.
Campos, L.M.B.C.: ‘On the Hall effect on vertical Alfvén waves in an isothermal atmosphere’, Phys. Fluids B4 (1992), 2975–2982.
Campos, L.M.B.C.: ‘Comparison of exact solutions and phase mining approximation, for dissipative Alfvén waves’, Europ. J. Mech. B12 (1993), 187–216.
Campos, L.M.B.C.: ‘Exact and approximate methods for hydromagnetic waves in dissipative atmospheres’, Wave Motion 17 (1993), 101–112.
Campos, L.M.B.C.: ‘An exact solution for spherical Alfvén waves’, Europ. J. Mech. B13 (1994), 613–28.
Campos, L.M.S., and Gil, P.J.S.: ‘On spiral coordinates with application to wave propagation’, J. Fluid Mech. 301 (1995), 153–173.
Campos, L.M.B.C., and Isaeva, N.L.: ‘On vertical spinning Alfvén waves in a magnetic flux tube’, J. Plasma Phys. 48 (1992), 415–434.
Campos, L.M.B.C., and Mendes, P.M.V.M.: ‘On the compatibility of Alfvén wave heating of the chromosphere, transition region and corona’, Monthly Notices Roy. Astron. Soc. 276 (1995), 1041–1051.
Cowling, T.G.: Magnetohydrodynamics, Acad. Press, 1980.
Cross, R.: An introduction to Alfvén waves, Adam Hilger, IOP Publishing, 1988.
Ferraro, V.C.A., and Plumpton, C.: ‘Hydromagnetic waves in an horizontally stratified atmosphere’, Astrophys. J. 129 (1958), 459–476.
Ferraro, V.C.A., and Plumpton, C.: Magneto-fluid dynamics, Oxford Univ. Press, 1963.
Herlofson, N.: ‘Waves in a compressible fluid conductor’, Nature 165 (1950), 1020–1021.
Heyvaerts, J., and Priest, E.R.: ‘Coronal heating by phase-mined shear Alfvén waves’, Astron. Astrophys. 117 (1983), 220–234.
Hollweg, J.V.: ‘Alfvén waves in a two-fluid model of the solar wind’, Astrophys. J. 181 (1973), 547–566.
Kulsrud, R.M.: ‘Effect of magnetic fields in the generation of noise by turbulence’, Astrophys. J. 121 (1955), 461–468.
Landau, L.D., and Lifshitz, E.F.: Electrodynamics of continuous media, Pergamon, 1956.
Leroy, B.: ‘Propagation of Alfvén waves in an isothermal atmosphere when the Displacement current is not neglected’, Astron. Astrophys. 125 (1983), 371–383.
Lighthill, M.J.: ‘Studies on magnetohydrodynamic waves and other anisotropic wave motions’, Phil. Trans. Roy. Soc. A 252 (1959), 397–430.
Lighthill, M.J.: Waves in fluids, Cambridge Univ. Press, 1978.
Lundquist, S.: ‘Experimental investigation of magnetohydrodynamic waves’, Phys. Rev. 79 (1949), 1805–1809.
McKenzie, J.F.: ‘On a critical level for ion-cyclotron waves’, J. Plasma Phys. 22 (1979), 361–372.
McLellan, A., and Winterberg, F.: ‘Magneto-gravity waves and the heating of the solar corona’, Solar Phys. 4 (1968), 401–408.
Parker, E.N.: Cosmical magnetic fields, Oxford Univ. Press, 1979.
Parker, E.N.: ‘Alfvén waves in a thermally stratified fluid’, Geophys. Astrophys. Fluid Dyn. 29 (1984), 1–12.
Thomas, J.H.: ‘Magneto-atmospheric waves’, Ann. Rev. Fluid Mech. 15 (1984), 321–343.
Yu, O.P.: ‘Magneto-atmospheric waves in an horizontally-stratified conducting medium’, Phys. Fluids 8 (1965), 650–658.
Zugzda, Y.D.: ‘Low-frequency oscillatory convection in a strong magnetic field’, Cosmic Electrodyn. 2 (1971), 267–279.
Fraser, C.G.: ‘The calculus as algebraic analysis: some observations on mathematical analysis in the 18th century’, Arch. Hist. Exact Sci. 39 (1989), 317–335.
Jahnke, H.N.: ‘Algebraic analysis in Germany, 1780–1840: some mathematical and philosophical issues’, Historia Math. 20, no. 3 (1993), 265–284.
Lagrange, J.P.: Théorie des fonctions analytiques contenant les principes du calcul différentiel, dégagés de toute considération d’infiniment petits, d’évanouissans de limites et de fluxions, et réduit à l’analyse algébriques de quantités finies, second, revised and enlarged ed., Imprimeur-Librairie pour les Mathématiques, Paris, 1813, First edition published in 1797.
Przeworska-Rolewicz, D.: Algebraic analysis, PWN and D. Reidel, 1988.
Przeworska-Rolewicz, D.: ‘Short story of the term “Algebraic Analysis’“: Proc. Intern. Conf. Different Aspects of Differentiability II, Warszawa, September 1995, Vol. 4 of Integral Transforms and Special Functions, 1996, Preprint Inst. Mat. Polish Acad. Sci. No. 565, Jan. 1997 (second ed., revised and complemented).
Cantor, D., and Roquette, P.: ‘On diophantine equations over the ring of all algebraic integers’, J. Number Theory 18 (1984), 1–26.
Green, B., Pop, F., and Roquette, P.: ‘On Rumely’s local global principle’, Jahresber. Deutsch. Math.-Verein. 97 (1995), 43–74.
Matiyasevich, Yu.V.: ‘Diophantine sets’, Russ. Math. Surveys 27, no. 5 (1972), 124–164.
Matiyasevich, Yu.V.: ‘Diophantine sets’, Uspekhi Mat. Nauk 27, no. 5 (1972), 185–222.
Moret-Bailly, L.: ‘Groupes de Picard et problèmes de Skolem I, II’, Ann. Sci. Ecole Normale Sup. 22 (1989), 161–179;
Moret-Bailly, L.: ‘Groupes de Picard et problèmes de Skolem I, II’, Ann. Sci. Ecole Normale Sup. 22 (1989), 181–194.
Prestel, A., and Schmidt, J.: ‘Existentially closed domains with radical relations: An axiomatisation of the ring of algebraic integers’, J. Reine Angew. Math. 407 (1990), 178–201.
Robinson, J.: ‘Existential definability’, Trans. Amer. Math. Soc. 72, no. 3 (1952), 437–449.
Rumely, R.: ‘Arithmetic over the ring of all algebraic integers’, J. Reine Angew. Math. 368 (1986), 127–133.
Rumely, R.: Capacity theory on algebraic curves, Vol. 1378 of Lecture Notes in Mathematics, Springer, 1989.
Skolem, Th.: ‘Lösung gewisser Gleichungen in ganzen algebraischen Zahlen, insbesondere in Einheiten’, Skrifter Norske Videnskap. Akad. Oslo I. Mat. Kl. 10 (1934).
Dries, L. van den: ‘Elimination theory for the ring of algebraic integers’, J. Reine Angew. Math. 388 (1988), 189–205.
Dries, L. van den, and Macintyre, A.: ‘The logic of Rumely’s local-global principle’, J. Reine Angew. Math. 407 (1990), 33–56.
Riele, H.J.J. Te: A theoretical and computational study of generalized aliquot sequences, Math. Centre, Amsterdam, 1976.
Alperin, J.L.: ‘Weights for finite groups’: Proc. Symp. Pure Math., Vol. 47, Amer. Math. Soc, 1987, pp. 369–379.
Dade, E.C.: ‘Counting characters in blocks I’, Invent. Math. 109 (1992), 187–210.
Dade, E.C.: ‘Counting characters in blocks IF, J. Reine Angew. Math. 448 (1994), 97–190.
Knörr, R., and Robinson, G.R.: ‘Some remarks on a conjecture of Alperin’, J. London Math. Soc. (2) 39 (1989), 48–60.
Thévenaz, J.: ‘Equivariant K-theory and Alperin’s conjecture’, J. Pure Appl. Algebra 85 (1993), 185–202.
Douglas, J.: ‘On the numerical integration of u xx +u yy = u t by implicit methods’, SIAMJ. 3 (1962), 42–65.
Lennart Johnsson, S., Saad, Y., and Schultz, M.H.: ‘Alternating direction methods on multiprocessors’, SIAMJ. Sci. Statist. Comput. 8 (1987), 686–700.
Peaceman, D.W., and Rachford, H.H.: ‘The numerical solution of parabolic and elliptic differential equations’, SIAMJ. 3 (1955), 28–41.
Varga, R.S.: Matrix iterative analysis, Prentice-Hall, 1962.
various: ‘Papers of different authors published 1979–1990’, Comm. Math. Univ. Carolinae (1979/90).
Vopenka, P.: Mathematics in the alternative set theory, Teubner, 1979.
Vopenka, P.: Introduction to mathematics in the alternative set theory, Alfa, Bratislava, 1989. (In Slovak.)
Amitsur, S.A., and Levitzki, J.: ‘Minimal identities for algebras’, Proc. Amer. Math. Soc. 1 (1950), 449–463.
Kostant, B.: ‘A theorem of Frobenius, a theorem of Amitsur-Levitzki, and cohomology theory’, J. Math. Mech. 7 (1958), 237–264.
Passman, D.S.: The algebraic structure of group rings, Wiley, 1977.
Procesi, C: ‘The invariant theory of n x n matrices’, Adv. in Math. 19 (1976), 306–381.
Razmyslov, Yu.P.: ‘Trace identities of full matrix algebras over a field of characteristic zero’, Math. USSR Izv. 8 (1974), 727–760.
Razmyslov, Yu.P.: ‘Trace identities of full matrix algebras over a field of characteristic zero’, Izv. Akad. Nauk SSSR 38 (1974), 723–756.
Rosset, S.: ‘A new proof of the Amitsur-Levitzki identity’, Israel J. Math. 23 (1976), 187–188.
Swan, R.G.: ‘An application of graph theory to algebra’, Proc. Amer. Math. Soc. 14 (1963), 367–380.
Szigeti, J., Tuza, Z., and Revesz, G.: ‘Eulerian polynomial identities on matrix rings’, J. Algebra 161 (1993), 90–101.
Cousot, P.: ‘Semantic foundations of program analysis’, in S.S. Muchnick and N.D. Jones (eds.): Program Flow Analysis: Theory and Applications, Prentice-Hall, 1981, pp. 303–342.
Jagannathan, S., and Weeks, S.: ‘A unified treatment of flow analysis in higher-order languages’: Proc. POPL ‘95, ACM Press, 1995, pp. 393–407.
Jones, N.D., and Nielson, F.: ‘Abstract interpretation: a semantics-based tool for program analysis’, in S. Abramsky, D.M. Gabbay, and T.S.E. Maibaum (eds.): Handbook of Logic in Computer Science, Vol. 4, Oxford Univ. Press, 1995, pp. 527–636.
Talpin, J.P., and Jouvelot, P.: ‘The type and effect discipline’: Information and Computation, Vol. 111, 1994.
Bingham, N.H., Goldie, C.M., and Teugels, J.L.: Regular variation, second ed., Vol. 27 of Encycl. Math. Appl., Cambridge Univ. Press, 1989.
Bruijn, N.G. De: ‘Some algorithms for ordering a sequence of objects, with application to E. Sparre Andersen’s principle of equivalence in mathematical statistics’, Indagationes Mathematicae 34, no. 1 (1972), 1–10.
Feller, W.: An introduction to probability theory and its applications, second ed., Vol. 2, Springer, 1976.
Joseph, A.W.: ‘An elementary proof of the principle of equivalence’, J. London Math. Soc. (2) 3 (1971), 101–102.
Sparre Andersen, E.: ‘On the number of positive sums of random variables’, Skand. Aktuarietikskr. 32 (1949), 27–36.
Sparre Andersen, E.: ‘On sums of symmetrically dependent random variables’, Skand. Aktuarietikskr. 36 (1953), 123–138.
Sparre Andersen, E.: ‘On the fluctuations of sums of random variables’, Math. Scand. 1 (1953), 263–285,
Sparre Andersen, E.: ‘On the fluctuations of sums of random variables’, Math. Scand. 2 (1954), 195–223.
Spitzer, F.: Principles of random walk, second ed., Springer, 1976.
Anderson, T.W., and Darling, D.A.: ‘Asymptotic theory of certain ‘goodness-of-fit’ criteria based on stochastic processes’, Ann. Math. Stat. 23 (1952), 193–212.
Anderson, T.W., and Darling, D.A.: ‘A test of goodness-of-fit’, J. Amer. Statist. Assoc. 49 (1954), 765–769.
Baringhaus, L., Danschke, R., and Henze, N.: ‘Recent and classical tests for normality: a comparative study’, Comm. Statist. Simulation Comput. 18 (1989), 363–379.
Baringhaus, L., and Henze, N.: ‘An adaptive omnibus test for exponentiality’, Comm. Statist. Th. Methods 21 (1992), 969–978.
Drost, F.C., Kallenberg, W.C.M., and Oosterhoff, J.: ‘The power of EDF tests to fit under non-robust estimation of nuisance parameters’, Statist. Decisions 8 (1990), 167–182.
Gan, F.F., and Koehler, K.J.: ‘Goodness-of-fit tests based on P — P probability plots’, Technometrics 32 (1990), 289–303.
Nikitin, Ya.Yu.: Asymptotic efficiency of nonparametric tests, Cambridge Univ. Press, 1995.
Adler, S.: ‘Axial-vector vertex in spinor electrodynamics’, Phys. Rev. 177 (1969), 2426–2438.
Atiyah, M.F., and Singer, I.M.: ‘Dirac operators coupled to vector potentials’, Proc. Nat. Acad. Sci. USA 81 (1984), 2597–2600.
Bell, J., and Jackiw, R.: ‘A PCAC puzzle π° → 2γ in the σ-model’, Nuovo Cimento 60A (1969), 47–61.
Bonora, L., and Cotta-Ramusino, P.: ‘Some Remarks on BRS transformations, anomalies and the cohomology of the Lie algebra of the group of gauge transformations’, Comm. Math. Phys. 87 (1983), 589–603.
Fujikawa, K.: ‘Path integral measure for gauge invariant Fermion theories’, Phys. Rev. Lett. 42 (1979), 1195–1197.
Green, M.B., and Schwarz, J.H.: ‘Anomaly cancellations in supersymmetric D = 10 gauge theory and superstring theory’, Phys. Lett. 149B (1984), 117–122.
Hitchin, N.J.: ‘Flat connections and geometric quantisation’, Comm. Math. Phys. 131 (1990), 347–380.
Nash, C.: Differential topology and quantum field theory, Acad. Press, 1991.
Witten, E.: ‘Global gravitational anomalies’, Comm. Math. Phys. 100 (1985), 197–229.
Cheng, Q.M.: ‘Complete maximal space-like hypersurfaces of H 4 1 (c) ’, Manuscripta Math. 82 (1994), 149–160.
Ishikawa, T.: ‘Maximal space-like submanifolds of a pseudo-Riemannian space of constant curvature’, Michigan Math. J. 35 (1988), 345–352.
Ki, U-H., Kim, H.S., and Nakagawa, H.: ‘Complete maximal space-like hypersurfaces of an anti-de Sitter space’, Kyungpook Math. J. 31 (1991), 131–141.
Gustafson, K.: ‘Antieigenvalues’, Linear Alg. & Its Appl. 208/209 (1994), 437–454.
Gustafson, K.: ‘Operator trigonometry’, Linear and Multilinear Alg. 37 (1994), 139–159.
Gustafson, K.: ‘Matrix trigonometry’, Linear Alg. & Its Appl. 217 (1995), 117–140.
Gustafson, K.: Lectures on computational fluid dynamics, mathematical physics, and linear algebra, Kaigai & World Sci., 1996/7.
Gustafson, K.: ‘Operator trigonometry of iterative methods’, Numerical Linear Alg. Applic. to appear (1997).
Gustafson, K., and Rao, D.: Numerical range, Springer, 1997.
Hoffnagle, G.F. (ed.): ‘13 papers on the occasion of the 25th anniversary of APL’, IBM Systems J. 30, no. 4 (1991).
Iverson, K.E.: A programming language, Wiley, 1962.
Iverson, K.E.: ‘Notation as a tool of thought, 1979 Turing Award Lecture’, Comm. ACM 23 (1980), 444–465.
Wegner, P.: ‘Programming languages — the first 25 years’, IEEE Trans. Comp. C-25 (1976), 1207–1225.
Wolfram, S.: Mathematical A system for doing mathematics by computer, Addison-Wesley, 1988.
Arens, R.: ‘The adjoint of a bilinear operation’, Proc. Amer. Math. Soc. 2 (1951), 839–848.
Arens, R.: ‘Operations induced in function classes’, Monatsh. Math. 55 (1951), 1–19.
Palmer, T.W.: Banach algebras and the general theory of *-algebras I, Vol. 49 of Encycl. Math. Appl., Cambridge Univ. Press, 1994.
Arens, R.: ‘The adjoint of a bilinear operation’, Proc. Amer. Math. Soc. 2 (1951), 839–848.
Arens, R.: ‘Operations induced in function classes’, Monatsh. Math. 55 (1951), 1 19.
Civin, P., and Yood, B.: ‘The second conjugate space of a Banach algebra as an algebra’, Pacific J. Math. 11 (1961), 847–870.
Grosser, M.: ‘Arens semiregular Banach algebras’, Monatsh. Math. 98, no. 1 (1984), 41–52.
Hennefeld, J.O.: ‘A note on the Arens products’, Pacific J. Math. 26 (1968), 115 119.
Kauser, S.: ‘On Banach modules I’, Math. Proc. Cambridge Philos. Soc. 90, no. 3 (1981), 423–444.
Palmer, T.W.: Banach algebras and the general theory of *-algebras I, Vol. 49 of Encycl. Math. Appl., Cambridge Univ. Press, 1994.
Pym, J.S.: ‘The convolution of functionals on spaces of bounded functions’, Proc. London Math. Soc. (3) 15 (1965), 84–104.
Rodrĭguez-Palacios, Á.: ‘A note on Arens regularity’, Quart. J. Math. Oxford Ser. (2) 38, no. 149 (1987), 1991–1993.
Sherman, S.: ‘The second adjoint of a C*-algebra’: Proc. Internat. Congress Math. Cambridge, I, 1950, p. 470.
Young, N.J.: ‘The irregularity of multiplication in group algebras’, Quart. J. Math. Oxford Ser. (2) 24 (1973), 59–62.
Young, N.J.: ‘Semigroup algebras having regular multiplication’, Studia Math. 47 (1973), 191–196.
Young, N.J.: ‘Periodicity of functionals and representations of normed algebras on reflexive spaces’, Proc. Edinburgh Math. Soc. (2) 20, no. 2 (1976–77), 99–120.
Brehm, U., Greferath, M., and Schmidt, S.E.: ‘Projective geometry on modular lattices’, in F. Buekenhout (ed.): Handbook of Incidence Geometry, Elsevier, 1995, pp. 1115–1142.
Butler, L.M.: Subgroup lattices and symmetric functions, Vol. 539 of Memoirs, Amer. Math. Soc, 1994.
Crawley, P., and Dilworth, R.P.: Algebraic theory of lattices, Prentice-Hall, 1973.
Cylke, A.A.: ‘Perfect and linearly equivalent elements in modular lattices’, in V. Dlab ET AL. (eds.): Representations of Algebras VI (Proc. Int. Conf. Ottawa 1992), Vol. 14 of CMS Conf. Proc, AMS, 1993, pp. 125–148.
Day, A.: ‘Geometrical applications in modular lattices’, in R. Freese and O. Garcia (eds.): Universal Algebra and Lattice Theory, Vol. 1004 of Lecture Notes in Mathematics, Springer, 1983, pp. 111–141.
Day, A.: ‘Applications of coordinatization in modular lattice theory: the legacy of J. von Neumann’, Order 1 (1985), 295–300.
Day, A., and Freese, R.: ‘The role of gluing in modular lattice theory’, in K. Bogart, R. Freese, and J. Kung (eds.): The Dilworth Theorems, Selected Papers of Robert P. Dilworth, Birkhäuser, 1990, pp. 251–260.
Day, A., and Pickering, D.: ‘The coordinatization of Arguesian lattices’, Trans. Amer. Math. Soc. 278 (1983), 507–522.
Draškovičová, H. (eds.), et al.: ‘Ordered sets and lattices, I-II’, Amer. Math. Soc. Transl. Ser. 2 142, 152 (1989/1992).
Finberg, D., Mainetti, M., and Rota, G.-C.: ‘The logic of computing with equivalence relations’, in A. Ursini and P. Agliano (eds.): Logic and Algebra, Vol. 180 of Lecture Notes Pure Applied Math., M. Dekker, 1996.
Freese, R.: ‘Free modular lattices’, Trans. Amer. Math. Soc. 261 (1980), 81–91.
Freese, R., and McKenzie, R.: Commutator theory for congruence modular varieties, Vol. 125 of Lecture Notes, London Math. Soc., 1987.
Gel’fand, I.M. (ed.): Representation theory. Selected papers, Vol. 69 of Lecture Notes, London Math. Soc., 1982.
Gross, H.: Quadratic forms in infinite dimensional vector spaces, Vol. 1 of Progress in Math., Birkhäuser, 1979.
Herrmann, C: ‘On elementary Arguesian lattices with four generators’, Algebra Universalis 18 (1984), 225–259.
Herrmann, C: ‘Alan Day’s work on modular and Arguesian lattices’, Algebra Universalis 34 (1995), 35–60.
Herrmann, C., Pickering, D., and Roddy, M.: ‘Geometric description of modular lattices’, Algebra Universalis 31 (1994), 365–396.
Hutchinson, G.: ‘Modular lattices and abelian categories’, J. Algebra 19 (1971), 156–184.
Hutchinson, G.: ‘On the representation of lattices by modules’, Trans. Amer. Math. Soc. 209 (1975), 47–84.
Hutchinson, G.: ‘Embedding and unsolvability theorems for modular lattices’, Algebra Universalis 7 (1977), 47–84.
Hutchinson, G., and Czédli, G.: ‘A test for identities satisfied in lattices of submodules’, Algebra Universalis 8 (1978), 269–309.
Jipsen, P., and Rose, H.: Varieties of lattices, Vol. 1533 of Lecture Notes in Mathematics, Springer, 1992.
Jónsson, B.: ‘On the representation of lattices’, Math. Scand. 1 (1953), 193–206.
Jónsson, B.: ‘Modular lattices and Desargues’ theorem’, Math. Scand. 2 (1954), 295–314.
Jónsson, B.: ‘Representations of complemented modular lattices’, Trans. Amer. Math. Soc. 60 (1960), 64–94.
Jónsson, B.: ‘Varieties of algebras and their congruence varieties’: Proc. Int. Congress Math., Vancouver, 1974, pp. 315–320.
Jónsson, B.: ‘Congruence varieties’: G. Grätzer: Universal Algebra, Springer, 1978, pp. 348–377, Appendix 3.
Jónsson, B., and Monk, G.: ‘Representation of primary Arguesian lattices’, Pacific J. Math. 30 (1969), 95–130.
Keller, H.A., Kuenzi, U.-M., Storrer, H., and Wild, M. (eds.): Orthogonal geometry in infinite dimensional vector spaces, Lecture Notes in Mathematics. Springer, to appear.
McKenzie, R., McNulty, G., and Taylor, W.: Algebras, lattices, varieties, Vol. I, Wadsworth, 1987.
Nästäsecu, C., and Ostayen, F. Van: Dimensions of ring theory, Reidel, 1987.
Pálfy, P.P., and Szabó, C.: ‘Congruence varieties of groups and Abelian groups’, in K. Baker and R. Wille (eds.): Lattice Theory and Its Applications, Heldermann, 1995.
Prest, M.: Model theory and modules, Vol. 130 of Lecture Notes, London Math. Soc., 1988.
Baumgartner, J.: ‘Iterated forcing’, in A.R.D. Mathias (ed.): Surveys in Set Theory, Cambridge Univ. Press, 1979.
Baumgartner, J., Malitz, J., and Reinhardt, W.: ‘Embedding trees in the rationals’, Proc. Nat. Acad. Sc. USA 67 (1970), 1748–1753.
Jech, T.: Set theory, Acad. Press, 1978.
Kunen, K.: Set theory: an introduction to independence proofs, North-Holland, 1980.
Mitchell, W.: ‘Aronszajn trees and the independence of the transfer property’, Ann. Math. Logic 5 (1972), 21–46.
Shelah, S.: Proper forcing, Springer, 1982.
Todorcevic, S.: ‘Trees and linearly ordered sets’, in K. Kunen and J.E. Vaughan (eds.): Handbook of Set Theoretic Topology, North-Holland, 1984.
Aomoto, K., and Kita, M.: Hypergeometric functions, Springer, 1994. (Translated from the Japanese.)
Barthel, G., Hirzebruch, F., and Höfer, T.: Geradenkonfigurationen und Algebraische Flächen, Vieweg, 1987.
Björner, A., Vergnas, M. Las, Sturmfels, B., White, N., and Ziegler, G.M.: Oriented matroids, Cambridge Univ. Press, 1993.
Goresky, M., and MacPherson, R.: Stratified Morse theory, Springer, 1988.
Orlik, P., and Terao, H.: Arrangements of hyperplanes, Springer, 1992.
Varchenko, A.: Multidimensional hypergeometric functions and representation theory of Lie algebras and quantum groups, World Sci., 1995.
Zaslavsky, T.: Facing up to arrangements: face-count formulas for partitions of space by hyperplanes, Vol. 154 of Memoirs, Amer. Math. Soc., 1975.
Arrow, K.: Social choice and individual values, second ed., Wiley, 1963.
Chichilnisky, G.: ‘The topological equivalence of the Pareto condition and the existence of a dictator’, J. Econ. Theory 9 (1982), 223–234.
Kelly, J.: ‘Social choice bibliography’, Soc. Choice Welfare 8 (1991), 97–169.
Saari, D.G.: Basic geometry of voting, Springer, 1995.
Saari, D.G.: ‘Arrow’s and Sen’s theorems revisited and resolved’, Social Choice and Welfare to appear (1997).
Bjorling-Sachs, I., and Souvaine, D.: ‘An efficient algorithm for guard placement in polygons with holes’, Discrete Comput. Geom. 13 (1995), 77–109.
Füredi, Z., and Kleitman, D.: ‘The prison yard problem’, Combinatorica 14 (1994), 287–300.
Hoffmann, F.: ‘On the rectilinear art gallery problem’: Proc. Internat. Colloq. on Automata, Languages, and Programming 90, Vol. 443 of Lecture Notes in Computer Science, Springer, 1990, pp. 717–728.
Hoffmann, F., Kaufmann, M., and Kriegel, K.: ‘The art gallery theorem for polygons with holes’: Proc. 32nd Found. Computer Sci., 1991, pp. 39–48.
Kahn, J., Klawe, M., and Kleitman, D.: ‘Traditional galleries require fewer watchmen’, SIAM J. Algebraic Discrete Methods 4 (1983), 194–206.
O’Rourke, J.: Art gallery theorems and algorithms, Oxford Univ. Press, 1987.
Shermer, T.: ‘Recent results in art galleries’, Proc. IEEE 80, no. 9 (1992), 1384–1399.
Garcia, A., and Stichtenoth, H.: ‘A tower of Artin Schreier extensions of function fields attaining the Drinfeld-Vladut bound’, Invent Math. 121 (1995), 211–222.
Stichtenoth, H.: Algebraic function fields and codes, Springer, 1993.
Tsfasman, M.A., and Vladut, S.G.: Algebraic geometric codes, Kluwer Acad. Publ., 1991.
Geer, G. Van Der, and Vlugt, M. Van Der: ‘Curves over finite fields of characteristic two with many rational points’, C.R. Acad. Sci. Paris 317 (1993), 693–697.
Lint, J.H. Van: Introduction to coding theory, Springer, 1992.
Lang, S.: Algebra, Addison-Wesley, 1974.
Jacobson, N.: Lectures in abstract algebra, Vol. III: theory of fields and Galois theory, v. Nostrand, 1964, p. Ch. VI.
Ribenboim, P.: L’arithmétique des corps, Hermann, 1972, p. Ch. IX.
Frisch, R.: ‘La résolution des problèmes de programme linéaire par la méthode du potentiel logarithmique’, Cahier Sém. Econom. 4 (1956), 20–23.
Grötschel, M., Lovász, L., and Schrijver, A.: Geometric algorithms and combinatorial optimization, Springer, 1987.
Murtz, K.: Linear and combinatorial programming, Wiley, 1976.
Papadimitriou, C.H., and Steiglitz, K.: Combinatorial optimization, Prentice-Hall, 1982.
Yudin, D.B., and Gol’shtein, E.G.: Linear programming, Israel Program. Sci. Transi., 1965. (Translated from the Russian.)
Godambe, V.P., and Heyde, C.C.: ‘Quasi-likelihood and optimal estimation’, Internat Statist. Rev. 55 (1987), 231–244.
Heyde, C.C.: Quasi-likelihood and its application. A general approach to optimal parameter estimation, Springer, 1997.
McLeish, D.L., and Small, CG.: The theory and applications of statistical inference functions, Lecture Notes in Statistics. Springer, 1988.
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Hazewinkel, M. (1997). A. In: Hazewinkel, M. (eds) Encyclopaedia of Mathematics. Encyclopaedia of Mathematics. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-1288-6_1
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