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Showing 1 to 20 of 95 for “"Infinite number"”.

  1. On Prime Generation Through Primitive Divisors Of Recurrence Sequences

    … many centuries that these sequences contain an infinite number of prime terms, however no proof has been given as such. We examine a less direct method of showing an infinitude of primes in each sequence by showing that the sequences contain an infinite number of terms with primitive divisors.

    ucf

  2. Vanishing and non-vanishing of L-series of elliptic curves twisted by Dirichlet characters

    … ( E , 1) = 0 then the L -series vanishes for an infinite number of cyclic cubic characters. With finite exceptions, if L ( E , 1) ✹ 0 there exist an infinite number of cyclic twists [Special characters omitted.] of prime order k such that L ( E , 1, [Special characters omitted.] ) ✹ 0 for every …

    concordia Repository record for Vanishing and non-vanishing of L-series of elliptic curves twisted by Dirichlet characters (opens in a new tab)

  3. Proton form factors in large NcQCD

    … , QCD in the large Nc limit, which sums up the infinite number of zero-width resonances to produce an Euler's Beta function, Dual-QCDoo . The form factors F} (q2), F2(q2) and GM(q2) altogether consistently agree well with reanalyzed space-like data in the whole range of momentum transfer. …

    cape-town Repository record for Proton form factors in large NcQCD (opens in a new tab)

  4. Bifurcation Analysis of Endogenous Growth Models

    … multiperiodic stability. There are not only an infinite number of kinds of unstable dynamics, some very close to stability in appearance, but also an infinite number of kinds of stable dynamics. Hence subjective prior views on whether the economy is or is not stable provide little guidance …

    ku Repository record for Bifurcation Analysis of Endogenous Growth Models (opens in a new tab)

  5. Internal Model Principle: extension to the switching case and applications

    … tracking of periodic references with an infinite number of harmonics. In the first part of the thesis the basic components of the novel control scheme are described and preliminary results on stabilization are provided. In the second part, advanced control methods for two applications …

    bologna Repository record for Internal Model Principle: extension to the switching case and applications (opens in a new tab)

  6. Historic development of prime numbers

    … thesis is to investigate the history of prime numbers and development of prime number theory. There are three major sections to this thesis, Ancient times, Dark Ages, and Modern times. The ancient time's section has topics on the `Ishango Bone', `Rhine Papyrus' with an investigation of Egyptian …

    twu Repository record for Historic development of prime numbers (opens in a new tab)

  7. Reverse engineering object recognition

    … object in the world can cast an effectively infinite number of different images onto the retina, depending on its position relative to the viewer, the configuration of light sources, and the presence of other objects in the visual field. In spite of this, primates can robustly recognize a …

    mit Repository record for Reverse engineering object recognition (opens in a new tab)

  8. A study of chatter-induced loss of mechanical contact

    … for sustained stick, as well as an infinite number of other trajectories, each involving an infinite number of impacts in finite time. A similar mechanism can occur between two bodies with a compliant contact model, though in this case there are only finitely many impacts. The …

    uiuc Repository record for A study of chatter-induced loss of mechanical contact (opens in a new tab)

  9. Rewriting-based symbolic methods for distributed system verification

    … never wasted (4) are generic across a possibly infinite number of domain theories. Towards this goal, we present our research on theory-generic satisfiability and rewrite-theory-generic specification and analysis methods, discuss prototype implementations, and consider future directions.

    uiuc Repository record for Rewriting-based symbolic methods for distributed system verification (opens in a new tab)

  10. Adaptation of task-aware, communicative variance for motion control in social humanoid robotic applications

    … evaluate motion. An algorithm for generating an infinite number of variants from a single exemplar was established to avoid repetitive motion. The algorithm was made task-aware by including the functionality of satisfying constraints. User studies were performed with the algorithm using human …

    gatech Repository record for Adaptation of task-aware, communicative variance for motion control in social humanoid robotic applications (opens in a new tab)

  11. A Sharper Ratio

    … measures are unreliable even with an infinite number of higher moments.

    penn Repository record for A Sharper Ratio (opens in a new tab)

  12. Completion of hinge loss has an implicit bias

    … proposed which learns the hinge loss function an infinite number of times pushing $f(x_i)y_i \to \infty$. It is proven that for a linear model on linearly separable data this modified hinge loss function converges in the direction of the $\ell_2$ max-margin separator at a rate of $\bigO\left( …

    uiuc Repository record for Completion of hinge loss has an implicit bias (opens in a new tab)

  13. Examples and Applications of Infinite Iterated Function Systems

    The aim of this work is the study of infinite conformal iterated function systems. More specifically, we investigate some properties of a limit set J associated to such system, its Hausdorff and packing measure and Hausdorff dimension. We provide necessary and sufficient conditions for such systems …

    unt Repository record for Examples and Applications of Infinite Iterated Function Systems (opens in a new tab)

  14. Sensitivity study of turbulent flow simulations over a rotating disk

    … geometry of wind turbines, a flow over an infinite rotating disk is considered in the current paper as a first step. Such flow represents a rotating wind turbine with an infinite number of blades.

    unm Repository record for Sensitivity study of turbulent flow simulations over a rotating disk (opens in a new tab)

  15. Burmester curve and numerical motion generation of Grashof mechanisms with perimeter and transmission angle optimization in MathCAD

    An infinite number of planar four-bar mechanism solutions exist for a series of prescribed rigid-body positions. Given a set of Burmester curves or numerically-generated fixed and moving pivot curves, sorting through the limitless number of possible mechanism solutions to find one that ensures full …

    njit Repository record for Burmester curve and numerical motion generation of Grashof mechanisms with perimeter and transmission angle optimization in MathCAD (opens in a new tab)

  16. Equilibrium analysis of masonry domes

    … range of internal forces, gaining potentially an infinite number of equilibrium solutions that could not be derived otherwise. This method can also analyze non-conventional axisymmetrical dome geometries that are difficult or impossible to analyze with existing methods. Abiding by limit state …

    mit Repository record for Equilibrium analysis of masonry domes (opens in a new tab)

  17. The Design and Implementation of a GUI-Based Control Allocation Toolbox in the MATLAB Environment

    … be positioned to achieve some desired effect. An infinite number of allocation methods exist, from the straight-forward direct allocation technique, to the daisy chaining approach, to the computationally simple generalized inverse method. Because different methods have advantages and disadvantages …

    vt Repository record for The Design and Implementation of a GUI-Based Control Allocation Toolbox in the MATLAB Environment (opens in a new tab)

  18. Rapid Implicit Diagonalization of Variable-Coefficient Differential Operators Using the Uncertainty Principle

    … mathematical models featuring a finite number of homogeneous materials, thus assuming general piecewise constant coefficients. This proposed method will avoid the modeling shortcuts that are traditionally taken, and it will generalize the piecewise constant case of energy diffusion and …

    usm Repository record for Rapid Implicit Diagonalization of Variable-Coefficient Differential Operators Using the Uncertainty Principle (opens in a new tab)

  19. Excitation of wave packets and random disturbances in a boundary layer

    … found that the random disturbances behave like infinite number, single-frequency waves and measurements of their growth made possible to verify regions of the neutral-stability curve. In the case of wave-packet creation it was found that the wave packets behave like a structure that consists of …

    vt Repository record for Excitation of wave packets and random disturbances in a boundary layer (opens in a new tab)

  20. A community of houses

    … idea is portrayed. Ideas can be expressed in an infinite number of ways and studying the guiding principles proven throughout history can help to govern and direct a design as it progresses. True architecture results from an uncompromising position about certain ideas and the resulting work …

    vt Repository record for A community of houses (opens in a new tab)

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