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1

I, Khudi͡a︡ev S., ed. Analysis in classes of discontinuous functions and equations of mathematical physics. Dordrecht: M. Nijhoff, 1985.

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2

1968-, Schmidt Ralf, ed. Elements of the representation theory of the Jacobi group. Boston: Birkhäuser Verlag, 1998.

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3

Center, Langley Research, ed. An adaptive pseudospectral method for discontinuous problems. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1988.

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4

Pietro, Daniele Antonio Di. Mathematical aspects of discontinuous galerkin methods. Berlin: Springer, 2012.

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5

Yuri, Trakhinin, ed. Stability of strong discontinuities in magnetohydrodynamics and electrohydrodynamics. Hauppauge, N.Y: Nova Science Publishers, 2003.

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6

David, Gottlieb, Shu Chi-Wang, and Langley Research Center, eds. On one-sided filters for spectral Fourier approximations of discontinuous functions. Hampton, Va: National Aeronautics and Space Administration, 1991.

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7

1892-1969, Rademacher Hans, Andrews George E. 1938-, Bressoud David M. 1950-, Parson L. Alayne 1947-, and Hans Rademacher Centenary Conference (1992 : Pennsylvania State University), eds. The Rademacher legacy to mathematics: The centenary conference in honor of Hans Rademacher, July 21-25, 1992, the Pennsylvania State University. Providence, R.I: American Mathematical Society, 1994.

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8

David, Gottlieb, Shu Chi-Wang, and Langley Research Center, eds. On one-sided filters for spectral Fourier approximations of discontinuous functions. Hampton, Va: National Aeronautics and Space Administration, 1991.

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9

Gottlieb, David. Resolution properties of the Fourier method for discontinuous waves. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1992.

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10

Chi-Wang, Shu, and Langley Research Center, eds. Resolution properties of the Fourier method for discontinuous waves. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1992.

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11

International Forum on Discontinuous Deformation Analysis and Simulations of Discontinuous Media (1st 1996 Berkeley, Calif.). Discontinuous deformation analysis (DDA) and simulations of discontinuous media: Proceedings of the first International Forum on Discontinuous Deformation Analysis (DDA) and Simulations of Discontinuous Media, Berkeley, California, USA, June 12-14, 1996. Albuquerque, N.M: TSI Press, 1996.

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12

Proskurin, Nikolai. Cubic metaplectic forms and theta functions. Berlin: Springer, 1998.

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13

Maugeri, A. Elliptic and parabolic equations with discontinuous coefficients. Berlin: Wiley-VCH, 2000.

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14

Eitan, Tadmor, Institute for Computer Applications in Science and Engineering., and Langley Research Center, eds. Recovering pointwise values of discontinuous data within spectral accuracy. Hampton, Va: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1985.

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15

Cai, Wei. On one-sided filters for spectral Fourier approximations of discontinuous functions. Hampton, Va: Institute for Computer Applications in Science and Engineering, 1991.

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16

service), SpringerLink (Online, ed. Discontinuous Systems: Lyapunov Analysis and Robust Synthesis under Uncertainty Conditions. London: Springer London, 2009.

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17

1967-, Ern Alexandre, ed. Mathematical aspects of discontinuous galerkin methods. Berlin: Springer, 2012.

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18

Blokhin, A. M. Mathematical modelling in the theory of multivelocity continuum. Commack, N.Y: Nova Science Publishers, 1995.

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19

Winnicki, Andrzej. Viscoplastic and internal discontinuity models in analysis of structural concrete. Kraków: Wydawn. PK, 2007.

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20

Cockburn, B. The Runge-Kutta discontinuous Galerkin method for convection-dominated problems. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 2000.

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21

Chi-Wang, Shu, and Langley Research Center, eds. The Runge-Kutta discontinuous Galerkin method for conservation laws V: Multidimensional systems. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1997.

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22

Cockburn, B. The Runge-Kutta discontinuous Galerkin method for conservation laws V: Multidimensional systems. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1997.

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23

Chi-Wang, Shu, and Langley Research Center, eds. The Runge-Kutta discontinuous Galerkin method for conservation laws V: Multidimensional systems. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1997.

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24

Chi-Wang, Shu, and Langley Research Center, eds. The Runge-Kutta discontinuous Galerkin method for conservation laws V: Multidimensional systems. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1997.

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25

Estimation of the earnings functions of married women in the presence of discontinuous labor supply. Ann Arbor: Universtiy Microfilms International, 1986.

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26

Abbrüche: Performanz und Poetik in Prosa und Hörspiel, 1965-2002. Göttingen: Wallstein, 2014.

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27

Maso, Gianni. Variational Methods for Discontinuous Structures: International Workshop at Villa Erba (Cernobbio), Italy, July 2001. Basel: Birkhäuser Basel, 2002.

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28

Gelʹfand, I. M. Representation theory and automorphic functions. Providence, Rhode Island: American Mathematical Society : AMS Chelsea Publishing, 2016.

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29

Lee, David Sang-Yoon. The electoral advantage to incumbency and voters' valuation of politicians' experience: A regression discontinuity analysis of elections to the U.S. House. Cambridge, MA: National Bureau of Economic Research, 2001.

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30

1968-, Schmidt Ralf, ed. Elements of the representation theory of the Jacobi group. Basel: Springer Basel, 2011.

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31

Shahidi, Freydoon, Dihua Jiang, David Soudry, and James W. Cogdell. Advances in the theory of automorphic forms and their L-functions: Workshop in honor of James Cogdell's 60th birthday, October 16-25, 2013, Erwin Schrodinger Institute, University of Vienna, Vienna, Austria. Providence, Rhode Island: American Mathematical Society, 2016.

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32

J, Earle Clifford, Harvey William 1941-, and Recillas-Pishmish Sevín 1943-, eds. Complex manifolds and hyperbolic geometry: II Iberoamerican Congress on Geometry, January 4-9, 2001, CIMAT, Guanajuato, Mexico. Providence, R.I: American Mathematical Society, 2002.

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33

Elliptic curves, modular forms, and their L-functions. Providence, R.I: American Mathematical Society, 2011.

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34

On certain L-functions: Conference in honor of Freydoon Shahidi on certain L-functions, Purdue Univrsity, West Lafayette, Indiana, July 23-27, 2007. Providence, R.I: American Mathematical Society, 2011.

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35

Cogdell, James W., 1953- editor, Shahidi Freydoon editor, and Soudry David 1956 editor, eds. Automorphic forms and related geometry: Assessing the legecy of I.I. Piatetski-Shapiro : April 23-27, 2012, Yale University, New Haven, CT. Providence, Rhode Island: American Mathematical Society, 2014.

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36

Alladi, Krishnaswami, Frank Garvan, and Ae Ja Yee. Ramanujan 125: International conference to commemorate the 125th anniversary of Ramanujan's birth, Ramanujan 125, November 5--7, 2012, University of Florida, Gainesville, Florida. Providence, Rhode Island: American Mathematical Society, 2014.

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37

1953-, Campillo Antonio, ed. Zeta functions in algebra and geometry: Second International Workshop on Zeta Functions in Algebra and Geometry, May 3-7, 2010, Universitat de Les Illes Balears, Palma de Mallorca, Spain. Providence, R.I: American Mathematical Society, 2012.

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38

The endoscopic classification of representations orthogonal and symplectic groups. Providence, Rhode Island: American Mathematical Society, 2013.

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39

Cojocaru, Alina Carmen, Chantal David, and F. Pappalardi. Scholar, a scientific celebration highlighting open lines of arithmetic research: Conference in honour of M. Ram Murty's mathematical legacy on his 60th birthday, October 15-17, 2013, Centre de Recherches Mathematiques, Universite de Montreal, Quebec, Canada. Edited by Murty Maruti Ram editor. Providence, Rhode Island: American Mathematical Society, 2015.

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40

Trends in number theory: Fifth Spanish meeting on number theory, July 8-12, 2013, Universidad de Sevilla, Sevilla, Spain. Providence, Rhode Island: American Mathematical Society, 2015.

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41

Porton, Victor. Limit of a Discontinuous Function: A Generalization for the Arbitrary Case. Independently Published, 2019.

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42

Porton, Victor. Limit of a Discontinuous Function: A Generalization for the Arbitrary Case. Independently Published, 2019.

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43

Porton, Victor. Limit of a Discontinuous Function: A Generalization for the Arbitrary Case. Independently Published, 2020.

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44

Vol'pert, A. I., and S. I. Hudjaev. Analysis in Classes of Discontinuous Functions and Equations of Mathematical Physics. Vol pert A I Hudjaev S I, 2010.

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45

(Editor), M. Reza Salami, and Don Banks (Editor), eds. Discontinuous Deformation Analysis (DDA) and Simulations of Discontinuous Media. TSI Press, 1996.

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46

Introduzione alla teoria dei gruppi discontinui e delle funzioni automorfe. Pisa: E. Spoerri, 1991.

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47

Discontinuous materials and structures. Boston: Wit Press/Computational Mechanics Publications, 1999.

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48

Pietro, Daniele Antonio Di, and Alexandre Ern. Mathematical Aspects of Discontinuous Galerkin Methods. Springer, 2011.

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49

Bianconi, Ginestra. Interdependent Multilayer Networks. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198753919.003.0011.

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This chapter characterizes interdependent multilayer networks and their increased fragility. Interdependent networks are stylized models that can represent different complex systems, ranging from global infrastructures to molecular networks in the cell. When a fraction of nodes is initially damaged, interdependent networks are affected by dramatic cascades of failures that suddenly dismantle the multilayer network. The theory beyond this phenomenology is discussed in a pedagogical way by characterizing the percolation, discontinuous and hybrid transitions. The interplay between structure and function is studied in this context by considering multiplex networks without and with link overlap, and the effect of built-in correlations in the multilayer network structure. Finally, partial interdependencies and redundant interdependencies are discussed as major strategies to reduce the fragility of interdependent networks.
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50

Akhmet, Marat. Principles of Discontinuous Dynamical Systems. Springer New York, 2014.

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