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Series Representation

A Series Representation for Multidimensional Rayleigh Distributions

A Series Representation for Multidimensional Rayleigh Distributions

... non-zero series contributions of the complex integral addends, we were able to compute the series’ terms more ...general series representation for now arbitrary ...

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SERIES REPRESENTATION OF POWER FUNCTION

SERIES REPRESENTATION OF POWER FUNCTION

... phrases. Series Representation, Power function, monomial, Binomial Theorem, Multinomial the- orem, Worpitzky Identity, Stirling numbers of second kind, Faulhabers sum, finite difference, Faulhabers formula, ...

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Fourier Series Representation of Discontinuous Functions and Its Physical Applications

Fourier Series Representation of Discontinuous Functions and Its Physical Applications

... Fourier-series representation of a discontinuous function is used to highlight and clarify the controversial problem of finding the value of the function at a point of ...of representation and its ...

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Time Series Representation for Identification of Extremes

Time Series Representation for Identification of Extremes

... obtained[8].Sax representation is a discrete time series representation and chaos game bitmap representation can be used for visualizing discrete ...time series takes the form of a ...

6

Series Representation of Power Function

Series Representation of Power Function

... y = x , ∀ x n , ∈  to the numerical series. The most widely used methods to solve this problem are Newtons Binomial Theorem and Fundamental Theorem of Calculus (that is, derivative and integral are inverse oper- ...

7

Sparse Time Series Representation in Public Events Early Warning Model

Sparse Time Series Representation in Public Events Early Warning Model

... Sound denotation methods for time series can improve the efficiency of anomaly detection. Traditional methods include discrete Fourier transform (DFT), discrete wavelet transformation (DWT), dynamic time warping ...

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SERIES REPRESENTATION OF POWER FUNCTION

SERIES REPRESENTATION OF POWER FUNCTION

... Power function, Binomial coefficient, Binomial Theorem, Finite difference, Perfect cube, Exponential function, Pascal’s triangle, Series repre- sentation, Binomial Sum, Multinomial theor[r] ...

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Series Representation of Power Function

Series Representation of Power Function

... ing numerical methods, that is calculus of finite differences, namely, discrete case of Binomial expansion is reached. Received results were compared with solutions according to Newton’s Binomial theorem and MacMillan ...

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On generalized heat polynomials

On generalized heat polynomials

... SERIES REPHESENTATION In this section we shall establish a series representation of the heat transform Fr,t in terms of Laguerre polynomials and confluent hypergeometric functions.. As m[r] ...

8

Local Patterns and Big Time Series Data for Facial Poses Classification

Local Patterns and Big Time Series Data for Facial Poses Classification

... Abstract: The problem of identifying and analyzing faces in images is a fundamental task in computer vision. Though great progress has been achieved in face detection, it is still difficult to obtain the pose estimation. ...

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Hankel's Transform and Rieman's Hypothesis

Hankel's Transform and Rieman's Hypothesis

... the series representation of the kind (1) is based on the integral representation of Laguerre’s polynomials by means of Bessel’s functions of first kind [1, ...

5

Procedure 1: Plotting a Periodic Signal using the Complex Fourier Series

Procedure 1: Plotting a Periodic Signal using the Complex Fourier Series

... Fourier series representation for both the input signal x t ( ) and the output signal on the same graph for N=25 terms, using different line types and a ...

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Fourier Series and Filtering Periodic Signals

Fourier Series and Filtering Periodic Signals

... c) Plot the output vector using its Fourier series representation. Start with N = 5 and gradually increase N until you see what is happening (and you get a good graph). If N becomes too large you will not ...

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The Dirac operator on certain homogenous spaces and representations of some lie groups

The Dirac operator on certain homogenous spaces and representations of some lie groups

... the tensor product of a discrete series representation for a non-compact semi-simple Lie group G, and a finite-dimensional representation.. His results on the infinitesimal characters of[r] ...

179

Discovery of Temporal Association Rules in Multivariate Time Series

Discovery of Temporal Association Rules in Multivariate Time Series

... time series make temporal association rule mining ...time series, which is proved to be scalable in terms of the number of time series and the efficiency is improved compared to our predecessor’s ...

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Adversarial Unsupervised Representation Learning for Activity Time-Series

Adversarial Unsupervised Representation Learning for Activity Time-Series

... In this work, we present a novel unsupervised representa- tional learning technique, activity2vec that encodes human activity time-series by modeling local and global activity patterns. We train our model on two ...

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Operator Representation of Fermi Dirac and Bose Einstein Integral Functions with Applications

Operator Representation of Fermi Dirac and Bose Einstein Integral Functions with Applications

... a series representation of a class of functions and deduce the well-known series representation and operator forms of the Fermi-Dirac (and Bose-Einstein) integral and other related ...

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Gender representation in ‘Top-Notch’ series: A critical discourse analysis perspective

Gender representation in ‘Top-Notch’ series: A critical discourse analysis perspective

... Lee and Collins (2008) also examined whether the later development of awareness of gender issues in Hong Kong compared to Australia is reflected in patterns of gender representation in the English language ...

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Gender Representation in Interchange (Third Edition) Series: A Social Semiotics Analysis

Gender Representation in Interchange (Third Edition) Series: A Social Semiotics Analysis

... Women underrepresentation and stereotypical portrayals have also been prevalent in the context of EFL teaching/learning materials. Research has shown that various EFL textbooks included male-dominated bias and ...

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Expansions of numbers in positive Lüroth series and their applications to metric, probabilistic and fractal theories of numbers

Expansions of numbers in positive Lüroth series and their applications to metric, probabilistic and fractal theories of numbers

... [2] O. M. Baranovskyi, M. V. Pratsiovytyi, and G. M. Torbin, Topological and metric properties of sets of real numbers with conditions for their expansions in Ostrograd- sky series, Ukraïn. Mat. Zh. 59 (2007), no. ...

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