[PDF] Top 20 GLOBALIZATION OF REAL ZEROS OF A RANDOM TRIGONOMETRIC POLYNOMIAL
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GLOBALIZATION OF REAL ZEROS OF A RANDOM TRIGONOMETRIC POLYNOMIAL
... Online ISSN: 2456-883X Publication Impact Factor: 0.825 Website: www.ajast.net zeros when n is large . The measure of the exceptional set does not exceed ( logn ) . subsequently ,Das[2] and Qualls [ 3 ] have ... See full document
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Covariance of the number of real zeros of a random trigonometric polynomial
... of real zeros of the above polynomial in intervals (0, π) and (π, ...classical random trigonometric polynomial, defined as P n (θ) = n j = 0 a j (ω) cos jθ, is also ... See full document
6
Expected number of zeros of a random trigonometric polynomial
... of real zeros of the polynomial ...distributed random variables is such a ...of real zeros of any normal process, e(t), occurring the variance of the number of real ... See full document
8
ANALYTICAL EXPECTATION OF NUMBER OF LEVEL CROSSINGS OF A RANDOM TRIGONOMETRIC POLYNOMIAL
... random variables is such a number. To achieve the result we first present a general formula for the covariance of the number of real zeros of any normal process, e(t), occurring in any two disjoint ... See full document
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ANALYTICAL EXPECTATION OF NUMBER OF LEVEL CROSSINGS OF A RANDOM TRIGONOMETRIC POLYNOMIAL
... the random trigonometric polynomial ...of real zeros of (t ) in any two disjoint ...(non-stationary) real valued separable normal process possessing continuous sample paths, ... See full document
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BOUNDS OF THE NUMBER OF LEVEL CROSSINGS OF THE RANDOM ALGEBRAIC POLYNOMIALS
... of real zeros that an algebraic or trigonometric polynomial is expected to have when their coefficients are real random ...stationary random process is also presented. ... See full document
13
Zeros of an algebraic polynomial with nonequal means random coefficients
... of real zeros of a random algebraic polynomial a 0 + a 1 x + a 2 x 2 + ··· + a n− 1 x n− 1 ...normal random variables with nonidentical ...the random polynomial is ... See full document
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STRONG RESULT & ASYMPTOTIC ESTIMATES OF REAL ZEROS OF RANDOM POLYNOMIALS
... In the present work we have proved the same result in the general case. We assume that the v ’s are any random variables with finite variance and third absolute moment. Our previous result holds in the case of a ... See full document
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STRONG RESULT & ASYMPTOTIC ESTIMATES OF REAL ZEROS OF RANDOM POLYNOMIALS
... Keywords and phrases: Independent, identically distributed random variables, random algebraic polynomial, random algebraic equation, real roots, domain of attraction of the n[r] ... See full document
8
Zeros, Critical Points, and Coefficients of Random Functions
... (IID) random variables with some desired ...the zeros of these functions are then ...of zeros of a random polynomial in any measurable subset of the real numbers, where ... See full document
116
Lower and upper bounds of number of zeros of random algebraic polynomials
... of real zeros that an algebraic or trigonometric polynomial are expected to have when their coefficients are real random ...stationary random process is also ... See full document
10
Mean number of real zeros of a random hyperbolic polynomial
... the random hyperbolic polynomial, f (x) = 1 p a 1 coshx + ··· +n p × a n coshnx, in which n and p are integers such that n ≥ 2, p ≥ 0, and the coefficients a k (k = 1, ...distributed random variables. ... See full document
8
ZEROS, CRITICAL POINTS, AND COEFFICIENTS OF RANDOM FUNCTIONS
... (IID) random variables with some desired ...the zeros of these functions are then ...of zeros of a random polynomial in any measurable subset of the real numbers, where ... See full document
114
AVERAGE NUMBER OF REAL ZEROS OF RA NDOM TRIGONOMETRIC POLYNOMIAL
... KEYWORDS AND PHRASES: Independent, identically distributed random variables, random algebraic polynomial, random algebraic equation, real roots, domain of attraction of.. the nor[r] ... See full document
7
On the Number of Zeros of a Polynomial in a Given Domain
... of zeros of a polynomial in a given domain when the coefficients of the polynomial or their real or imaginary parts are restricted to certain ...of zeros of ... See full document
14
Number of zeros of a polynomial in a closed disc
... Schmeisser, Analytic Theory of Polynomials, Oxford University Press, New York (2002).[r] ... See full document
6
EXPECTED NUMBER OF LEVEL CROSSINGS OF A RANDOM ORTHOGONAL POLYNOMIAL
... of zeros of a class of orthogonal polynomial which is a sequence of mutually independent, normally distributed random variables with mean zero and variance unity then the average number of ... See full document
15
The natural algorithmic approach of mixed trigonometric polynomial problems
... form f (x) > is called a mixed trigonometric-polynomial inequality (MTP inequality). MTP functions currently appear in the monographs on the theory of analytical inequal- ities [, ] and [], while ... See full document
16
Quartic Trigonometric Bézier Curves and Surfaces with Shape Parameter
... Bézier polynomial has several applications in the fields of engineering, science and technology such as highway or railway rout designing, networks, Computer aided design system, animation, environment design, ... See full document
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The Number Of Zeros Of A Polynomial In A Disk
... Abstract: In this paper we subject the coefficients of a polynomial and their real and imaginary parts to certain restrictions and give bounds for the number of zeros in a specific region. Our ... See full document
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