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Proof. As in the proof of Theorem 12, we promote the congruence to a congruence over complex polynomials: zG(x)·G(y) ≡ zx·y mod zk − 1 Fix a string x ∈ {0, 1}n such that |G(x)| > |x|, which must exist because G is non-conservative. Then sum the congruence over ...
C. A. Kennedy and W. C. Lennox. Moment operations on random vari- ables, with applications for probabilistic analysis. Probabilistic Engineering Mechanics, 16:253 - 259, 2001.Solution to the practical problem of moments using non-classical orthogonal polynomials, with applications for probabilistic ...
For the current week, predictions of xp, yp, and ∆UT1 are available from NGA in the form of polynomials. The information is updated every Thursday. The pole positions are accurate to about 0.01'' after a month, and ∆UT1 predictions are accurate to a few milliseconds after about 20...
In order of complexity, engine models can be recognized as: models only consisting of lookup tables and/or best-fit polynomials, transfer function models, mean value models, filling and emptying (zero- or one-dimensional crank angle models), phenomenological multizone models, and CFD (Computational...
Spitkovsky I.M., On polynomials in two projections, Electron. J. Linear Algebra, 2006, 15, 154–158 Tian Y., The maximal and minimal ranks of some expressions of generalized inverses of matrices, Southeast Asian Bull. Math., 2002, 25(4), 745–755 CrossRef Tian Y., Rank equalities...
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polynomials as part of generating said convolutional encoding and wherein the mapper is further configured such that said convolutional polynomials change responsive to said input parameters for changing at least one of (i) a total number of convolutional polynomials that make up the set and (ii) ...
multiplied together and then added to one or more result registers. The result registers may include a high-order register and a low-order register. Polynomial arithmetic operations may be performed on polynomials stored in registers. The polynomials may be encoded as a binary representation of ...