Global ETD Search
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Showing 1 to 8 of 8 for “"explicit algorithm"”.
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Computing the trace of an endomorphism of a supersingular elliptic curve
We provide an explicit algorithm for computing the trace of an endomorphism of an elliptic curve which is given by a chain of small-degree isogenies. We analyze its complexity, determining that if the length of the chain, the degree of the isogenies, and the log of the field-size are all O(n), the …
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A study of homological invariants modulo an exact zero divisor
… resolution of R as a Q-module. We provide an explicit algorithm for this construction, written for the computer algebra system Macaulay2. Given two R-modules, we then use a mapping cone construction to relate homology of the two modules over Q to homology over R, and we give applications of …
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Completion of hinge loss has an implicit bias
… where $d$ is the dimension of the data. Then, an explicit formula for the underlying dynamical system of the gradient descent iterates for two-layer linear networks on the inner product loss function is derived. Using the derived dynamical system, a precise explicit algorithm is developed which …
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Spatio-Temporal Cluster Detection and Local Moran Statistics of Point Processes
… and convergence criteria are calculated from an explicit algorithm in a Markov chain Monte Carlo simulation setting and further analyzed in two real datasets.</p>
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Drug Addicted Patients – Oral Health and Management // Наркозависими пациенти – орално здраве и мениджмънт
… in drug addicts and the development of an explicit algorithm of work aimed at prevention and treatment reflects the great practical importance and relevance of the problem due to the ever-increasing number of these patients in dental practices.
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Aspects of computational contact dynamics
… The models are implemented as computational algorithms. The main contributions of the author are in an improved time integration method for rigid rotations, and in a robust Newton scheme for solving the frictional contact problem. A simple and efficient way of integrating rigid rotations is …
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Design optimization for 2-D granular media with dissipation
… we perform a transient analysis using an explicit Runge-Kutta algorith with an adaptive time step scheme. Residual plasticity is modeled using an empirical one dimensional law that describes the history dependent contact interaction between the beads. A constitutive equation is required to …
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Impact response of composite structures to rigid and flexible projectiles
… needed. The impact response is obtained using an explicit algorithm based on the central difference scheme. In the algorithm developed, the target is assumed to be at rest and the projectile is assumed to be moving at a constant velocity, the impact velocity. At time t=0, the projectile hits the …