[PDF] Top 20 The Poincaré Polynomial of a Linear Code
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The Poincaré Polynomial of a Linear Code
... Proof. The shortened code C J is isomorphic with C(J ), has dimension l(J ) = k − r(J ) by [20, Lemma ...view the codewords of C J with entries indexed by ¯ J, the complement of ... See full document
9
Asymmetric Entanglement Assisted Quantum Error Correcting Codes and BCH Codes
... ABSTRACT The concept of asymmetric entanglement-assisted quantum error-correcting code (asymmetric EAQECC) is introduced in this ...Codes of this type take advantage of the ... See full document
9
Existence of Poincaré maps in piecewise linear differential systems in R^n
... to the facility with they arise in the applica- tions (control theory [Lefschetz, 1965] and [Naren- dra & Taylor, 1973], design of electric circuits [Chua & Lin, 1990], neurobiology ... See full document
10
Classical and quantum evaluation codes at the trace roots
... from the introduction, this paper contains four sections. The definition of our classical codes, which evaluate at the roots of a trace function, and conditions for their ... See full document
16
Hypergeometric functions and binomials
... that the holonomic rank of a system of linear differential operators with polynomial (or holomorphic coefficients) is the vector space dimension of the space ... See full document
14
On characterizations of classical polynomials
... that the classical families of Jacobi, Laguerre, Hermite, and Bessel polynomials are characterized as eigenvectors of a second order linear differential operator with polynomial ... See full document
18
Relative generalized Hamming weights of one-point algebraic geometric codes
... and the other for dual codes [10], [11], [12], [37], [22], [32]. The most general formulations deal with arbitrary linear codes, whereas more specialized formulations – such as the order ... See full document
20
Four Decades of Studying Global Linear Instability: Progress and Challenges
... First, results are presented on the implementation of a Jacobian-free Newton-Krylov time-stepping method into a standard finite-volume aerodynamic code to obtain global linear instabili[r] ... See full document
13
A class of polynomial planar vector fields with polynomial first integral
... from the algebraic geometry but non-linear ordinary differential equations have interest in practically every science, therefore we feel that it is worthwhile to simplify it as much as possible and provide ... See full document
28
Hamiltonian linear type centers and nilpotent centers of linear plus cubic polynomial vector fields
... In the qualitative theory of real planar polynomial differential systems two of the main problems are the determination of limit cycles and the center-focus problem, ... See full document
129
The metric structure of linear codes
... A linear code C is called an LCD code (complementary dual code) if C ∩ C ⊥ = {0} ...as linear codes for q > 3. Hence the study of LCD codes is mainly open for binary ... See full document
23
Advances in global instability computations: from incompressible to hypersonic flow
... enter the boundary-layer and give rise to high- and low-velocity streaks through the lift-up mech- anism of Landahl [135] [see also 4, 7, 109, 116, 200, ...204]. The streaks may then interact ... See full document
228
Summability of orthonormal polynomial series
... We shall use a local form of the Haussdorf~ Young inequality to obtain the basic estimates leading to the summability result announced below as Theorem 1... The.[r] ... See full document
8
The modification of classical Hahn polynomials of a discrete variable.(revised version October 1996)
... study of orthogonal polynomials with respect to a modication of a linear functional in the linear space of polynomials with real coecients via the addition of one ... See full document
14
Conversion of a polarization microscope into a Mueller matrix microscope. Application to the measurement of textile fibers
... software. The detector is a point Point Grey Flea3 CMOS ...As the intensity is detected by the camera, the data pertaining to every individual pixel is frequency analyzed by digital ... See full document
8
Consensus Forming on the Proof of the Poincaré and Geometrization Conjectures
... in the traditional sense, they have been subjected to extraordinary scrutiny in the three and a half years since their posting on the ...Web. The simple passage of time without anyone ... See full document
5
Speech pattern recognition for forensic acoustic purposes
... obtain the signal-to-noise ratio, snreval [10] function is ...collection of functions, which measure some objective metrics for speech ...manner the whole signal; points where speech is present, and ... See full document
8
TítuloAutomatic detection of EEG arousals
... summarize the method: signal processing and a machine learning ...includes the conditioning of the EEG to reduce the impact of artifacts; the analysis of EEG ... See full document
6
PURPOSE, STRATEGY AND CULTURE
... role of the board is to establish not only the right culture and behaviours but also the right incentives and ...so, the board must be credible in the eyes of employees ... See full document
5
Dissimilarity Based Linear Models for Corporate Bankruptcy Prediction
... After the Basel II recommendations issued by the Basel Committee on Banking Supervision in 2004, financial institutions realized the need of us- ing more complex systems based upon ... See full document
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