Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 18 of 18 for “"Cubic polynomial"”.
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On the Computation of Invariants in non-Normal, non-Pure Cubic Fields and in Their Normal Closures
… theta is a real root of an irreducible monic cubic polynomial f(x) in Z[x]. If theta is not the cube root of a rational integer, we call the field K a non-pure cubic field, and if K doesn't contain the conjugates of theta, we call K a non-normal cubic field. A method described by Martinet and …
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Minimal Norm Constrained Interpolation
… problem. The solution is a piecewise cubic polynomial. We actually solve this problem indirectly by using the Peano kernel theorem to recast this problem into an equivalent minimization problem having the second derivative of the interpolant as the solution.</p> <p>We are then led to …
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Collinear analysis of altimeter data in the Bering Sea
… the height data using a least-squares fit to a cubic polynomial, weighted by the inverse of the height variance. Addition of the weights decreased contamination of residual height profiles by the large geoid signal. Composite maps of variability along each track revealed patterns of increased …
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Experimental and Statistical Analyses of the Effects of a Uniform Positive Pressure Applied to the Lower Limb in Humans on Vascular Haemodynamics
… The developed model was expressed in terms of a cubic polynomial and was analysed in the content of catastrophy theory. This was appropriate to account for sudden changes in the data.<br/><br/>Although the results obtained were based on this preliminary study, it appears that the predictive …
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Modeling and Simulation of Molecular Couette Flows and Related Flows
… profile is most appropriately approximated by a cubic polynomial. Meanwhile, the analysis also discloses the Knudsen number dependences of microscopic and macroscopic slip velocities and of the half channel mass flow rate. Finally, the modeling and simulation of molecular Couette flow in …
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Spin Polarization of Ground State Electron Gas at Low Densities
… term comes into the Hamiltonian. We present a cubic polynomial interpolation for an accurate estimation of the path integral of this potential. We perform our calculations with different densities and polarizations, to determine the polarization transition point of ground state electron gas in …
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Low level and intermediate level vision in aerial images
… is adequately represented locally by a bivariate cubic polynomial plus additive independent Gaussian noise. This model, although simple, is shown to be useful for the design of effective computer vision solving tasks. Four low-level computer vision modules are developed. First, a gradient operator …
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Terrain aware tactical motion planning and control algorithms for off-road UGVs in GNSS denied hostile environments
… smooth, time-parameterized trajectories through cubic polynomial spline interpolation, incorporating terrain-adaptive orientation via rotation-minimizing frames to maintain kinematic consistency over uneven landscapes. A tactical velocity modulation scheme adjusts motion dynamics based on terrain …
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Multi-Leader Congestion Games with an Adversary
… that K ≈ 1.1974, the unique solution of a cubic polynomial equation, is the smallest possible factor such that the existence of a K-approximate equilibrium is guaranteed for all instances of the game. To this end, we presented an efficient algorithm which computes a K-approximate PNE. …
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Morphological granulometry for texture analysis
… or follow an intrinsic ordering of textures. A cubic polynomial regression is used to model each of several granulometric moments as a function of time or class. These models are combined in a novel way and used to predict time or class. The methodology was developed on synthetic images of …
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Hydrodynamic behaviour of active and multi-species exclusion processes
… species with unequal jump rates, and provides a cubic polynomial approximation of the self-diffusion coefficient that remains numerically accurate across all densities. We also apply the method of matched asymptotics to a general exclusion process to yield a PDE for particle density. We factorise …
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Development of a Microscopic Emission Modeling Framework for On-Road Vehicles
… root models where the first model structure is a cubic polynomial function that depends on fuel estimates derived solely from VT-CPFM fuel estimates, which enhances the simplicity of the model. The second modeling framework combines the cubic function of the VT-CPFM fuel estimates with a linear …
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Passive vibration isolators with high-static-low-dynamic-stiffness
… and stiffness are approximated to a symmetric cubic polynomial and a quadratic function of the displacement respectively. From a dynamical point of view this allows the system to be treated as a Duffing oscillator. It is argued that for small oscillations about the static equilibrium position …
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Vibration Control for Chatter Suppression with Application to Boring Bars
… a nonlinear form, which is approximated using a cubic polynomial. Experiments demonstrate that the cutting forces couple the two principal modal coordinates. To obtain the jump phenomena observed experimentally, we find it necessary to account for structural nonlinearies. Gradually, using …
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Algebraic relaxations and hardness results in polynomial optimization and Lyapunov analysis
… and algebraic aspects of convexity in polynomial optimization. We show that unless P=NP, there exists no polynomial time (or even pseudo-polynomial time) algorithm that can decide whether a multivariate polynomial of degree four (or higher even degree) is globally convex. This solves a …
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GPS kinematic positioning for the airborne laser altimetry at Long Valley, California
… 3 em for the lake surface after removing the cubic polynomial to approximately fit for the geoid-ellipsoidal height differences and flow within the lake for each of the five flight sections over the lake. The Lake Crowley crossover analysis shows a mean difference of 0.2 em and RMS scatter of …
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Supersymmetry Breaking: Models of Gauge Mediation with Gauge Messengers
… is canonical, and the superpotential is a cubic polynomial in the fields, but it can happen if either of these constraints is violated. This leads us to consider a particular example, where we study a hidden sector model with SU(3) gauge group, two flavours of quarks and one singlet. The …
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Oil distribution, microstructure and in vitro starch digestibility of bran-enriched magwinya
… (FD, POia & porosity), data were fitted to cubic polynomial regression with r2 values >0.70. Confocal microscopy and image analysis were effective in measuring oil absorption and interpreting crumb properties of fried dough. Glucose, starch fractions and estimated glycemic index (eGI) of …