“…We show that jack-knife pseudo-observations can be closely approximated using the idea of the infinitesimal jack-knife residuals. The infinitesimal jack-knife pseudo-observations are much faster to compute than jack-knife pseudo-observations. …”
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“…Here, Mark Green and Phillip Griffiths set forth the initial stages of an infinitesimal theory for algebraic cycles. The book aims in p…”
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“…j£- ' (2) so that if the Hamiltonian is independent of any particular co-ordinate, the corresponding canonical "momentum" is constant in time· Moreover, one may show that p is the generator of infinitesimal canonical transformations —r which induce transformations of q alone· Thus a problem in classical mechanics, which is completely solved when one has found all the constants of motion» reduces to the problem of finding the generating functions of all infinitesimal transformations which leave the Hamiltonian invariant.…”
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“…The Jacobian for infinitesimal BRST transformations of path integrals for pure Yang-Mills theory, viewed as a matrix $\unity +\Delta J$ in the space of Yang-Mills fields and (anti)ghosts, contains off-diagonal terms. …”
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“…The prediction of the temporal dynamics of chaotic systems is challenging because infinitesimal perturbations grow exponentially. The analysis of the dynamics of infinitesimal perturbations is the subject of stability analysis. …”
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“…Shape Dynamics allows us to describe situations in which the spacetime picture is no longer adequate, such as in the presence of singularities, when the idealization of infinitesimal rods measuring scales and infinitesimal clocks measuring proper time fails. …”
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“…Here, we analyze the impact the support conditions of the structure have on the existence of specific characteristics, such as self-stress states and infinitesimal mechanisms, and, consequently, on the active control. …”
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“…Fierz sends some calculations with reference to Chandra's work on the infinitesimal Lorentz group.…”
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“…In this letter, Fierz derives the general expansion for half-integral "Eigenfunctions" of the symmetric top using infinitesimal rotations.…”
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“…However, that need not be true, other times such as the lifetime of an infinitesimal perturbation can be much longer. In the present work, we demonstrate that this paradoxical property can arise even in quite simple systems such as a linear chain of reactions obeying mass action (MA) kinetics. …”
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“…Specifically, the motion of the infinitesimal body around the equilibria is conditionally stable only at points L(6) and L(7) in the absence of P-R drag effect in both binary systems. …”
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“…In this paper we introduce infinitesimal translations along the gradient flow for gauge theories, and study the corresponding Ward identities. …”
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