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" BAF is stationary, ie, 6S = 0, for variations about correct path, provided the initial and final configurations are held fixed. On the other hand, if we permit infinitesimal changes of the trajectories xl(t) at the initial and final times, including alterations... "
Classical Electrodynamics
by Julian Schwinger, Lester L. Deraad, Kimball Milton, Wu-yang Tsai, Joyce Norton - 1998 - 592 pages
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Classical and Quantum Dynamics: From Classical Paths to Path Integrals

Walter Dittrich, Martin Reuter - Science - 2001 - 800 pages
...final configurations are held fixed. On the other hand, if we permit infinitesimal changes of </,(/) at the initial and final times, including alterations of those times, the only contribution to SS comes from the endpoint variations, or 55 = G(t2) - G(t\) . (1.2) Equation (1.2) is the most general...
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Natural Biodynamics

Vladimir G. Ivancevic, Tijana T. Ivancevic - Science - 2005 - 1038 pages
...configurations are held fixed. On the other hand, if we permit infinitesimal changes of the trajectories xl(t) at the initial and final times, including alterations of those times, the only contribution to 5S comes from the endpoint variations, or Equation (4.94) is the most general formulation of the biodynamic...
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Human-Like Biomechanics: A Unified Mathematical Approach to Human ...

Vladimir G. Ivancevic, Tijana T. Ivancevic - Medical - 2008 - 470 pages
...configurations are held fixed. On the other hand, if we permit infinitesimal changes of the trajectories xl(t) at the initial and final times, including alterations of those times, the only contribution to 5S comes from the endpoint variations, or 6S = G(tz)-G(t1). (3.50) Equation (3.50) is the most general...
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Human-Like Biomechanics: A Unified Mathematical Approach to Human ...

Vladimir G. Ivancevic, Tijana T. Ivancevic - Medical - 2008 - 470 pages
...configurations are held fixed. On the other hand, if we permit infinitesimal changes of the trajectories xl(t) at the initial and final times, including alterations of those times, the only contribution to 6S comes from the endpoint variations, or 6S = G(t2)—G(t1). (3.50) Equation (3.50) is the most general...
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