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1

Richer, Michael G. Neutral oxygen in planetary nebulae: A probe of radiative transfer. Toronto: University of Toronto, Dept. of Astronomy, 1989.

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2

Center, Goddard Space Flight, ed. Microwave anisotrophy probe, MAP. [Greenbelt, MD: NASA's Goddard Space Flight Center, 1997.

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3

United States. National Aeronautics and Space Administration. Map Project Office., ed. MAP, microwave anisotropy probe. Greenbelt, MD: MAP Project Office, 1997.

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4

Tadeusz, Rewaj, ed. Prace Instytutu Fizyki =: Reports of the Institute of Physics. Szczecin: Wydawn. Uczelniane Politechniki Szczecińskiej, 1988.

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5

United States. National Aeronautics and Space Administration., ed. Galileo net flux radiometer report 1997. [Tucson, Ariz.]: Arizona University, Dept. of Planetary Sciences, Lunar and Planetary Laboratory, 1997.

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6

V, Pepper Stephen, Sutter James K, American Institute of Aeronautics and Astronautics., NASA Glenn Research Center, and Intersociety Energy Conversion Engineering Conference (35th : 2000 : Las Vegas, Nev.), eds. Organic materials ionizing radiation susceptibility for the Outer Planet/Solar Probe radioisotope power source. [Cleveland, Ohio]: National Aeronautics and Space Administration, Glenn Research Center, 2001.

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7

1924-, Ragent Boris, Swenson Byron L, and Ames Research Center, eds. Reports of workshops on probe measurements of particles and radiation in the atmosphere of Titan. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1990.

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8

Alfred, Bäuml, Institut für Strahlenhygiene des Bundesgesundheitsamtes (Germany), and World Health Organization, eds. Quality assurance in radiation therapy: Proce[e]dings of a workshop Dec.2-Dec.7, 1984 at Schloss Reisenburg. München: MMV Medizin, 1986.

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9

L, Johnson, and George C. Marshall Space Flight Center., eds. Inner magnetosphere imager (IMI) solar terrestrial probe class mission preliminary design study report. Marshall Space Flight Center, Ala: National Aeronautics and Space Administration, Marshall Space Flight Center, 1994.

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10

1941-, Alfano Robert R., Society of Photo-optical Instrumentation Engineers., Society of Vacuum Coaters, and SPIE Symposium on Advances in Semiconductors and Superconductors: Physics Toward Device Applications (1990 : San Diego, Calif.), eds. Ultrafast laser probe phenomena in bulk and microstructure semiconductors III: 18-19 March 1990, San Diego, California. Bellingham, Wash., USA: SPIE, 1990.

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11

K, Miller M., Oak Ridge National Laboratory, and U.S. Nuclear Regulatory Commission. Office of Nuclear Regulatory Research. Division of Engineering Technology., eds. Atom probe tomography characterization of the solute distributions in a neutron-irradiated and annealed pressure vessel steel weld. Washington, DC: U.S. Nuclear Regulatory Commission, 2000.

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12

Damage to VUV, EUV, and X-Ray Optics (Conference) (4th 2013 Prague, Czech Republic). Damage to VUV, EUV, and X-Ray Optics IV ; and, EUV and X-ray Optics: Synergy Between Laboratory and Space III: 15-18 April 2013, Prague, Czech Republic. Edited by Juha Libor editor, Bajt Saša editor, London Richard A. editor, Hudec R. editor, Pina Ladislav editor, SPIE (Society), HiPER (Project), et al. Bellingham, Washington: SPIE, 2013.

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13

1941-, Alfano Robert R., Optical Society of America, Society of Photo-optical Instrumentation Engineers., and Metallurgical Society (U.S.), eds. Ultrafast Laser Probe Phenomena in Bulk and Microstructure Semiconductors II: A special international conference of invited speakers : 14-15 March 1988, Newport Beach, California. Bellingham, Wash., USA: SPIE, 1988.

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14

United States. National Aeronautics and Space Administration., ed. Stellar occultation probe of Triton's atmosphere: Final technical report, grant number--NAG2-836, starting and ending dates--1993 January 1 through 1997 February 28. [Washington, DC: National Aeronautics and Space Administration, 1998.

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15

United States. National Aeronautics and Space Administration., ed. Stellar occultation probe of Triton's atmosphere: Final technical report, grant number--NAG2-836, starting and ending dates--1993 January 1 through 1997 February 28. [Washington, DC: National Aeronautics and Space Administration, 1998.

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16

Vlasi͡uk, O. S. Modelʹnyĭ analiz dynamiky miz͡hhaluzevykh t͡sinovykh proport͡siĭ v ekonomit͡si Ukraïny: Monohrafii͡a. Kyïv: NISID, 1997.

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17

Office, General Accounting. Department of Energy: Alternative financing and contracting strategies for cleanup projects : report to the Subcommittee on Energy and Water Development, Committee on Appropriations, House of Representatives. Washington, D.C. (P.O. Box 37050, Washington, D.C. 20013): U.S. General Accounting Office, 1998.

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18

Office, General Accounting. Department of Energy: Poor property management allowed vulnerability to theft at Rocky Flats : report to Congressional requesters. Washington, D.C: U.S. General Accounting Office, 1995.

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19

Office, General Accounting. Department of Energy: DOE needs to improve controls over foreign visitors to weapons laboratories : report to the Committee on National Security, House of Representatives. Washington, D.C. (P.O. Box 37050, Washington, D.C. 20013): The Office, 1997.

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20

Office, General Accounting. Department of Energy: Clear strategy on external regulation needed for worker and nuclear facility safety : report to the Committee on Science, House of Representatives. Washington, D.C. (P.O. Box 37050, Washington, D.C. 20013): The Office, 1998.

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21

Office, General Accounting. Department of Energy: National security controls over contractors traveling to foreign countries need strengthening : report to Congressional requesters. Washington, D.C. (P.O. Box 37050, Washington, D.C. 20013): U.S. General Accounting Office, 2000.

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22

Office, General Accounting. Department of Energy: Fundamental reassessment needed to address major mission, structure, and accountability problems : report to the Subcommittee on Energy and Water Development, Committee on Appropriations, House of Representatives. Washington, D.C: GAO, 2001.

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23

Office, General Accounting. Department of Energy: National priorities needed for meeting environmental agreements : report to the Secretary of Energy. Washington, D.C: U.S. General Accounting Office, 1995.

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24

Office, General Accounting. Department of Energy: Information on DOE's human tissue analysis work : fact sheet for Congressional requesters. Washington, D.C: U.S. General Accounting Office, 1995.

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25

Office, General Accounting. Department of Energy: Savings from deactivating facilities can be better estimated : report to the Chairman, Subcommittee on Military Procurement, Committee on National Security, House of Representatives. Washington, D.C: U.S. General Accounting Office, 1995.

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26

Office, General Accounting. Department of Energy: A framework for restructuring DOE and its missions : report to the Congress. Washington, D.C: The Office, 1995.

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27

Office, General Accounting. Department of Energy: Alternative financing and contracting strategies for cleanup projects : report to the Subcommittee on Energy and Water Development, Committee on Appropriations, House of Representatives. Washington, D.C. (P.O. Box 37050, Washington, D.C. 20013): The Office, 1998.

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28

Office, General Accounting. Department of Energy: Accelerated closure of Rocky Flats : status and obstacles : report to the Chairman, Committee on Armed Services, U.S. Senate. [Washington, D.C.]: The Office, 1999.

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29

Office, General Accounting. Department of Energy: Management and oversight of cleanup activities at Fernald : report to the congressional requesters. Washington, D.C: The Office, 1997.

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30

Office, General Accounting. Department of Energy: Cleaning up inactive facilities will be difficult : report to the Chairman, Subcommittee on Investigations and Oversight, Committee on Science, Space, and Technology, House of Representatives. Washington, D.C: The Office, 1993.

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31

United States. Congress. Senate. Committee on Governmental Affairs., ed. Department of Energy: Procedures lacking to protect computerized data : report to the Ranking Minority Member, Committee on Governmental Affairs, U.S. Senate. Washington, D.C. (P.O. Box 37050, Washington 20013): The Office, 1995.

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32

Office, General Accounting. Department of Energy: Information on the tritium leak and contractor dismissal at the Brookhaven National Laboratory : report to Congressional requesters. Washington, D.C. (P.O. Box 37050, Washington, D.C. 20013): U.S. General Accounting Office, 1997.

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33

Office, General Accounting. Department of Energy: Status of achieving key outcomes and addressing major management challenges. Washington, D.C: GAO, 2001.

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34

Office, General Accounting. Department of Energy: Contractor litigation costs. Washington, D.C: U.S. General Accounting Office, 2002.

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35

Office, General Accounting. Department of Energy: Property management has improved at DOE's Rocky Flats Site : report to the Chairman, Subcommittee on Energy and Power, Committee on Commerce, House of Representatives. Washington, D.C: The Office, 1995.

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36

Office, General Accounting. Department of Energy: Problems and progress in managing plutonium : report to the chairman, Subcommittee on Energy and Power, Committee on Commerce, House of Representatives. Washington, D.C. (P.O. Box 37050, Washington, D.C. 20013): The Office, 1998.

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37

Office, General Accounting. Department of Energy: Solar and Renewable Resources Technologies Program : report to the Chairman, Subcommittee on Energy and Water Development, Committee on Appropriations, House of Representatives. Washington, D.C: The Office, 1997.

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38

Office, General Accounting. Department of Energy: Opportunity to improve management of major system acquisitions : report to the Chairman, Committee on Governmental Affairs, U.S. Senate. Washington, D.C: The Office, 1996.

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39

Office, General Accounting. Department of Energy: Procedures lacking to protect computerized data : report to the Ranking Minority Member, Committee on Governmental Affairs, U.S. Senate. Washington, D.C: The Office, 1995.

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40

United States. Dept. of Energy., ed. Department of Energy: Management problems require a long-term commitment to change : report to the Secretary of Energy. Washington, D.C: The Office, 1993.

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41

Office, General Accounting. Department of Energy: Certain postretirement benefits for contractor employees are unfunded and program oversight could be improved : report to the Chairman, Subcommittee on Energy and Water Development, Committee on Appropriations, House of Representatives. Washington, D.C: GAO, 2004.

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42

Office, General Accounting. Department of Energy: Unethical conduct at DOE's Yucca Mountain Project : report to the Ranking Minority Member, Committee on Science, House of Representatives. Washington, D.C: The Office, 1996.

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43

United States. Congress. House. Committee on the Budget., ed. Department of Energy: Proposed budget in support of the President's Climate Change Technology Initiative : report to the chairman, Committee on the Budget, House of Representatives. Washington, D.C: The Office, 1998.

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44

United States. Congress. House. Committee on the Budget., ed. Department of Energy: Proposed budget in support of the President's Climate Change Technology Initiative : report to the chairman, Committee on the Budget, House of Representatives. Washington, D.C: The Office, 1998.

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45

Office, General Accounting. Department of Energy: Problems and progress in managing plutonium : report to the Chairman, Subcommittee on Energy and Power, Committee on Commerce, House of Representatives. Washington, D.C. (P.O. Box 37050, Washington, D.C. 20013): The Office, 1998.

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46

Office, General Accounting. Department of Energy: Information on DOE's human tissue analysis work : fact sheet for congressional requesters. Washington, D.C: The Office, 1995.

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47

Office, General Accounting. Department of Energy: Clear strategy on external regulation needed for worker and nuclear facility safety : report to the Committee on Science, House of Representatives. Washington, D.C. (P.O. Box 37050, Washington, D.C. 20013): The Office, 1998.

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48

Office, General Accounting. Department of Energy: Clear strategy on external regulation needed for worker and nuclear facility safety : report to the Committee on Science, House of Representatives / c United States General Accounting Office. Washington, D.C. (P.O. Box 37050, Washington, D.C. 20013): U.S. General Accounting Office, 1998.

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49

Office, General Accounting. Department of Energy: Poor management of nuclear materials tracking system makes success unlikely : report to the Ranking Minority Member, Committee on Governmental Affairs, U.S. Senate. Washington, D.C: The Office, 1995.

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50

Deruelle, Nathalie, and Jean-Philippe Uzan. Gravitational radiation. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0054.

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This chapter attempts to calculate the radiated energy of a source in the linear approximation of general relativity to infinity in the lowest order. For this, the chapter first expands the Einstein equations to quadratic order in metric perturbations. It reveals that the radiated energy is then given by the (second) quadrupole formula, which is the gravitational analog of the dipole formula in Maxwell theory. This formula is a priori valid only if the motion of the source is due to forces other than gravity. Finally, this chapter shows that, to prove this formula for the case of self-gravitating systems, the Einstein equations to quadratic order must be solved, and the radiative field in the post-linear approximation of general relativity obtained.
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