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Showing 1 to 20 of 24 for “"Polynomial functions"”.
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An Original Formula That Produces Polynomial Functions with Integral Critical Points and Zeros. Will the Classroom Teacher Use It?
… paper presents an original formula 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 …
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Geometric approaches to computing Kostka numbers and Littlewood-Richardson coefficients
… We sh w that both are given by piecewise polynomial functions in the entries of the partitions and compositions parametrizing them, and that the domains of polynomiality form a complex of cones. Interesting factorization patterns are found in the polyomials giving the Kostka numbers. The …
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Secure inference of quantized neural networks
… that can support evaluation of degree-bounded polynomial functions over encrypted data without decrypting it, and Brakerski/Fan-Vercauteren (BFV) scheme - an efficient LHE cryptographic scheme which only operates with integers. To make the model compatible with LHE with the BFV scheme, the …
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A novel inference algorithm on graphical model
… the factor graph are abstracted as as piecewise polynomial functions with lower and upper bounds, and a variant of the variable elimination algorithm solves the inference problem over this abstraction. The resulting distributions bound quantifies the error between it and the true distribution. We …
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On the Optimality of Several Algorithms on Polynomial Regression of Empicial Bayes Poisson Model
… extensions of this problem to estimating polynomial functions of the Poisson parameter rather than just the parameter itself. We generalize three different algorithms for estimation, specifically the Robbins estimator from [2], the NPMLE method from [3], and the ERM method from [4]. For …
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Krylov Subspace Spectral Methods with Non-homogenous Boundary Conditions
… another case where the initial conditions are polynomial functions. We will also look at both the time-independent and time-dependent cases for both sets of initial conditions for discrepancies in accuracy and efficiency. Our numerical results will be compared to the results given by Finite …
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Object oriented programming for reinforced concrete T-beam bridge design
… A series of second-degree interpolating polynomial functions were developed for representing influence line coordinates for various load effects in the deck and beam subjected to moving loads. The analysis results using the program were compared with those obtained from the commercial …
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Statistical modelling for the prognostic classification of patients with pancreatic cancer for optimisation of treatment allocation
… using restricted cubic spline and fractional polynomial functions. Multivariable models containing non-linear transformations gave a substantially better fit. Important effects of some covariates were unrecognised under simplistic assumptions. The fitted functions generated by the two methods …
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Finite Geometry and Computer Algebra, with Applications
… and finding associated canonical forms for polynomial functions. We deal with some quite complex cases, in particular with the case of line (complement) generated figures of , where it was originally uncertain if the results would be forthcoming. During this work we develop some new …
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An Algebraic Approach to Reverse Engineering with an Application to Biochemical Networks
… over a finite field, are described by systems of polynomial functions. We present novel reverse-engineering algorithms for discrete models, where each algorithm is suitable for different amounts and types of data. We demonstrate the effectiveness of the algorithms on simulated networks and …
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Protecting agents against malicious host attacks
… to spy on the agent. The algorithm uses multiple polynomial functions with multiple random inputs to convert an agent's critical data to a value that is meaningless to the malicious host. The effectiveness of the obfuscation algorithm is enhanced by addition of noise code. The second approach …
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Electromagnetic formation flight dipole solution planning
… The equations of motion are determined to be polynomial functions of each satellite's magnetic dipole (which is directly related to the current in the electromagnets). Methods for solving the equations of motion are presented along with examples showing that any desired maneuver can be …
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Motion design for high speed machines.
… curves are generated using standard mathematical functions are ineffective for general application especially when velocity and acceleration conditions are included. Polynomial functions are shown to be the most versatile for these applications but these can give curves with unexpected …
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Distributed cooperative trajectory generation for multiple autonomous vehicles using Pythagorean Hodograph Bézier curves
… curves with Pythagorean hodographs, a class of polynomial functions with attractive mathematical properties and a collection of highly efficient computational procedures associated with them. The use of these curves is critical to generate cooperative trajectories that are guaranteed to satisfy …
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Control Theoretic Methods In Analysis And Design Of Optimization Algorithms
… with time-varying objective and constraint functions. This dynamical system is composed of two terms: (i) a correction term consisting of a continuous-time version of Newton's method, and (ii) a prediction term able to track the drift of the optimal solution by taking into account the …
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Uncertainty Quantification in Dynamic Problems With Large Uncertainties
… to solve stochastic eigenvalue problems using Polynomial chaos. Presently, the approaches are restricted to problems with real and distinct eigenvalues. In both the approaches, the system uncertainties are modeled by Wiener-Askey orthogonal polynomial functions. Galerkin projection is applied …
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Misspecification testing in systems of equations
… that is discussed is to select particular functions of the variables involved that should be orthogonal under the null hypothesis of no misspecification, and the sample analog of these functions is used as a basis for constructing misspecification tests. As an extension of this idea, it is …
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Linear and non-linear deformations of a wind turbine blade considering warping and all aeroelastic load couplings
… of products of time-step dependent constants and polynomial functions of x (where x is the coordinate along the length of the blade) that satisfy the boundary conditions at the fixed end where x=0 (hub of the blade) and at the free end where x=L (tip of the blade). The mass matrix, linear and …
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The degradation of all-dielectric self supporting cables installed in high potential electro-magnetic fields.: A theoretical and practical evaluation of optical fibre cables strung independently on overhead power transmission lines
… the relevant variables to span related polynomial functions, relating capacitive coupling to the space potential, and the superposition of assumed functions.<br/><br/>The work is supported by results presented of extensive practical testing and simulations carried out by the author. …
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A probabilistic approach to a classical result of ore
The subgroup commutativity degree sd(G) of a finite group G was introduced almost ten years ago and deals with the number of commuting subgroups in the subgroups lattice L(G) of G. The extremal case sd(G) = 1 detects a class of groups classified by Iwasawa in 1941 (in fact sd(G) represents a …
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