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Showing 1 to 20 of 24 for “"Biquadratic"”.
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Algorithmic Aspects of Biquadratic, Cubic and Radical Function Fields
… ramifications and an integral basis of a cyclic biquadratic function field are simple, explicit and efficient. The computation of the unit group on a global bicyclic biquadratic function field generalizes and simplifies Kubota's work [Kub56) to function fields. It thus settles this question for …
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The Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Bicyclic Biquadratic Fields
… dissertation class groups of imaginary bicyclic biquadratic fields are considered. In chapter 1 we develop a method for determining the structure of the 2-class group of K. In chapters 3, 4, and 5 this method is applied to determine all imaginary bicyclic biquadratic extensions of Q with class …
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Strengthening the Precalculus Bridge: Enhancing the Precalculus Student's Understanding of Tangents to Conics, Biquadratic Equations, and Maxima and Minima
… to Conics</li> <li>Maxima and Minima</li> <li>Biquadratic Equations</li> </ul> <p>Because these topics are not generally covered in precalculus courses, there are several possible uses for them. An instructor could use the material as:</p> <ul> <li>An added classroom resource</li> <li>Project …
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Exchange coupling and giant magnetoresistance in nickel-iron/copper multilayers
… of magnetic multilayer and trilayer systems. Biquadratic exchange favors the perpendicular alignment of the magnetization of adjacent ferromagnetic layers and has been observed in several magnetic multilayer and trilayer systems. Unlike bilinear exchange, the origins of biquadratic exchange …
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Units and class groups of imaginary octic fields
… considered. In chapter 3 we consider bicyclic biquadratic extensions K/k and give a method for determining the structure of the 2-class group of K. In chapters 4 and 5 this method is applied to real and imaginary bicyclic biquadratic extensions of Q. In chapter 6 a method for determining the …
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On the Synthesis of Passive Networks without Transformers
… of a certain type of impedance (called a biquadratic minimum function), among all series-parallel networks. Moreover, we show that these procedures produce the only series-parallel networks which contain exactly six reactive elements and two resistors and realise a biquadratic minimum …
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Scattered surface data estimation and visualization
… are developed for scattered surface data and the biquadratic method is developed for regular data set. A new contour method which can generate arbitrarily smooth contour line is also presented. The new methods are compared with the existing ones with real scattered data set, supplied by the DOE …
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Performance of codes based on crossed product algebras
… in the third part, constructions based on biquadratic crossed product algebras are considered. It is well known that two important design criteria in the construction of spacetime codes are the rank criterion and the determinant criterion. The rank criterion is closely linked to the notion …
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Irreducible elements in algebraic number fields
… bi-quadratic fields. The imaginary bicyclic biquadratic fields which contain such primes are completely determined.
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Singularly perturbed problems with characteristic layers : Supercloseness and postprocessing
… recover the exact solution, we apply continuous biquadratic interpolation on a macro mesh, a discontinuous biquadratic projection on a macro mesh and two methods to recover the gradient of the exact solution. Special attentions is payed to the effects of non-uniformity due to the S-type meshes. …
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A Class of Immersed Finite Element Spaces and Their Application to Forward and Inverse Interface Problems
… different quadratic IFE spaces and their related biquadratic IFE spaces are introduced here for the purposes of solving both forward and inverse elliptic interface problems in 1D and 2D. These different spaces are constructed by (i) using a hierarchical approach, (ii) imposing extra continuity …
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Multi-agent Coordination Algorithms for Pursuit-Evasion
… swarm optimization (CCPSO-R) algorithm, the biquadratic assignment problem solver and parallel CCPSO-R (BiPCCR) algorithm, and the fuzzy self-organizing cooperative coevolution (FSC2) algorithm. Furthermore, the co-evolution mechanism, autocurricula, self-play, arms races, and adversarial …
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Covolume-Upwind Finite Volume Approximations For Linear Elliptic Partial Differential Equations
… mass lumping are developed, using bilinear or biquadratic basis functions as the trial space respectively. Some stability analysis of the schemes are presented for the model problem with constant coefficients. Various examples in both two dimensions and three dimensions are also carried out to …
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Sensitivity analysis of the static aeroelastic response of a wing
… value~ a bilinearly interpolated value, or a biquadratic ally interpolated value. The interpolation polynomial approaches do an excellent job of reducing the numerical problems of the global approach for comparable computational effort. Regardless of the pressure representation used, …
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Immersed Discontinuous Galerkin Methods for Acoustic Wave Propagation in Inhomogeneous Media
… conditions are added to generate bilinear and biquadratic piecewise shape functions for two dimensional problems. We established the existence and uniqueness of one dimensional immersed finite element shape functions and existence of two dimensional bilinear immersed finite element shape …
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Green function studies of the interlayer exchange coupling in magnetic multilayers
… Co/Cu systems. We then calculated the intrinsic biquadratic coupling and compared it to the extrinsic one, obtained from the thickness fluctuation model. We also studied the effect that the finite thickness of the magnetic layers may have on the coupling, in particular in the appearance of Fano …
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A finite element, Navier-Stokes study of the confined, laminar flow over a downstream facing step
… Galerkin technique for mixed problems. Biquadratic Lagrange interpolating polynomials were used to construct the basis functions that generated the finite-dimensional subspace containing the approximate solutions to the velocity field, while the pressure field was represented by a …
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Level raising for automorphic representations of GL(2n)
… replacing $\Pi$ with its base change along a CM biquadratic extension, under certain assumptions on $\Pi$ (including a local obstruction at the place $w$). Our proof uses the results of Kaletha, Minguez, Shin and White on the endoscopic classification of representations of (inner forms of) …
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Photoinduced phase transitions and irreversible dynamics studied with single-shot spectroscopy
… two-parameter Ginzburg-Landau model with biquadratic coupling describes the ground state of the manganite phase diagram and the stability of the photoinduced metallic phase.
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Finite and infinite matrix product states for Gutzwiller projected mean-field wavefunctions and their applications to quantum spin systems
… slave-fermion approach to theS= 1 bilinear-biquadratic(BLBQ) quantum spin chain. We find the energies of the MPS and iMPS states match the variational energies closely indicating the method is accurate and there is minimal loss due to truncation error. We then present the exploration of the …
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