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Showing 1 to 20 of 163 for “"critical points"”.

  1. Functions with minimal number of critical points

    … information about both the existence of critical points and the cardinality of the critical set. Further results on Lusternik-Schnirelmann category distract the attention from the original problem: finding crit(M) the minimal number of critical points of a smooth function on a given …

    heid-diss Repository record for Functions with minimal number of critical points (opens in a new tab)

  2. Analysis of critical points for nonconvex optimization

    In this thesis, we establish sufficient conditions under which an optimization problem has a unique local optimum. Motivated by the practical need for establishing the uniqueness of the optimum in an optimization problem in fields such as global optimization, equilibrium analysis, and efficient …

    mit Repository record for Analysis of critical points for nonconvex optimization (opens in a new tab)

  3. The fundamental critical points of modular elliptic curves

    … prove that the number of fundamental critical points of the normalized weight two modular form associated with an elliptic curve is an upper bound on the analytic rank of the curve. Their calculation of this quantity for all elliptic curves of conductor less than 424 confirmed that, …

    concordia Repository record for The fundamental critical points of modular elliptic curves (opens in a new tab)

  4. Cremer Points and Critical Points in Complex Dynamics

    … that is approximated by small cycles, have a critical point that is not accessible from the complement of the Julia set.

    uiuc Repository record for Cremer Points and Critical Points in Complex Dynamics (opens in a new tab)

  5. Scaling laws and correlation functions near magnetic critical points

    "Critical point phenomena in magnetic systems are studied with the aid of the scaling laws. These laws relate the critical indices which describe the behavior of thermodynamic and correlation functions near T. Kadanoff's derivation of the scaling 1aw is reviewed. An experimental survey of …

    uiuc Repository record for Scaling laws and correlation functions near magnetic critical points (opens in a new tab)

  6. Heat capacities of three magnetic salts near their critical points

    … near the . 6H20. A method of determining the critical point TA from a welldefined physical event has been found. For Mn(NH4)2(S04)2 . 6H20, TA = 0.1763°K, the width of the transition is known to +2 ~oK, and data have been obtained to T-T -4 A = +10 TA. The precision in the differences, T-T A , …

    uiuc Repository record for Heat capacities of three magnetic salts near their critical points (opens in a new tab)

  7. Dynamics of Cubic Rational Maps Under Certain Constraints on Critical Points

    … dichotomy to the cubic rational maps with all critical points escaping to an attracting fixed point. Then we consider two more classes of cubic rational maps: one class consists of the cubic rational maps with two attracting fixed points and the other class is comprised of the cubic rational …

    cuny-grad Repository record for Dynamics of Cubic Rational Maps Under Certain Constraints on Critical Points (opens in a new tab)

  8. Solving Buckling Problems and Computing Critical Points Using the Multigrid Method

    The algorithms make use of the eigenmodes of the tangent stiffness operator to create constraints which improve the conditioning of the tangent stiffness operator. The resultant systems are solved using the bordering algorithm and each equation solution is performed using the modified tangent …

    uiuc Repository record for Solving Buckling Problems and Computing Critical Points Using the Multigrid Method (opens in a new tab)

  9. An Original Formula That Produces Polynomial Functions with Integral Critical Points and Zeros. Will the Classroom Teacher Use It?

    … for creating polynomial functions with integral critical points and Integral zeros. This formula provides quickly constructed polynomial functions needed for teaching graphing techniques at the high school level. These functions have the characteristic that both coordinates of each critical point …

    columbus-state Repository record for An Original Formula That Produces Polynomial Functions with Integral Critical Points and Zeros. Will the Classroom Teacher Use It? (opens in a new tab)

  10. Dynamic Modeling With Implicit Surfaces and Polygonal Meshes

    … topological structure of a shape based on the critical points of a real function over the shape. This thesis solves a relaxed form of Laplace's equation to find a ""fair"" Morse function with a user-controlled number and configuration of critical points."

    uiuc Repository record for Dynamic Modeling With Implicit Surfaces and Polygonal Meshes (opens in a new tab)

  11. Spatial Voting Models: A Dynamical Systems Approach

    … results from this research identified several critical points that described different types of candidate equilibria. Competitive critical points mirrored findings in previous research. Flip-Flop and Noncompetitive points, however, identified sub-optimal candidate positions that might arise …

    queens Repository record for Spatial Voting Models: A Dynamical Systems Approach (opens in a new tab)

  12. Optimization for a Sturm--Liouville problem with the spectral parameter in the boundary condition

    … of variations approach to determine a set of critical points of a corresponding mass functional, yet these critical points - which we call \textit{predesigns} - do not necessarily themselves represent meaningful solutions. It is natural to expect a mass to be real and positive. To this end, we …

    utc Repository record for Optimization for a Sturm--Liouville problem with the spectral parameter in the boundary condition (opens in a new tab)

  13. Topology of Closed 1-Forms on Manifolds with Boundary

    … can be eectively revealed by studying the critical points of a nice function assigned on it. This is the essential motivation of Morse theory and many of its generalisations from a modern viewpoint. One fruitful direction of the generalisation of the theory is to look at the zeros of a …

    durham Repository record for Topology of Closed 1-Forms on Manifolds with Boundary (opens in a new tab)

  14. Topics on critical point theory

    … to the problem of finding and classifying the critical points of a suitable functional on an appropriate manifold. In this thesis, we will be concerned with the problems of existence, location and structure of critical points by building upon the well known min-max methods that are presently …

    ubc Repository record for Topics on critical point theory (opens in a new tab)

  15. Avaliação da estabilidade de tensão em sistemas com elos de corrente contínua em redes eletricamente próximas

    … of voltage instability and identification of critical points within the system. Further objectives of this dissertation include the implementation of corrective measures at critical points and the verification of their effectiveness. Moreover, the calculation and evaluation of various …

    brazil-uerj Repository record for Avaliação da estabilidade de tensão em sistemas com elos de corrente contínua em redes eletricamente próximas (opens in a new tab)

  16. The origin and implementation of the Truman doctrine

    … Western allies by selecting several of the more critical points of controvercy involved with the formulation of the Truman Doctrine.</p>

    u-pacific Repository record for The origin and implementation of the Truman doctrine (opens in a new tab)

  17. Repulsive knot energies and pseudodifferential calculus : rigorous analysis and regularity theory for O'Hara's knot energy family E (alpha), alpha in [2,3)

    … differentiability and $C^infty$ regularity of critical points. Using some ideas of Z.-X. He and filling major gaps in his investigation of the Möbius Energy E^(2), we furnish a rigorous proof of an even more general statement. We start with proving continuity of E^(alpha) on injective and …

    aachen Repository record for Repulsive knot energies and pseudodifferential calculus : rigorous analysis and regularity theory for O'Hara's knot energy family E (alpha), alpha in [2,3) (opens in a new tab)

  18. Workload-aware Page Management

    … Our method is especially beneficial running at "critical points". For instance, we observe 14% performance boost with a database application when the database can almost fit into physical memory. Such gain can only be beneficial at those "critical points", but the performance of our method should …

    rice Repository record for Workload-aware Page Management (opens in a new tab)

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