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Polynomial Interpolation
"... Part I. Generate a table of numbers and store in Xmem for use in the program. Use table data the effect of a moving sound source. Part II. Implement a delay line. Part 3a. Determine how much memory can be used for a delay buffer. Part 3b. Determine how many instructions “fit ” in one sample period. ..."
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Part I. Generate a table of numbers and store in Xmem for use in the program. Use table data the effect of a moving sound source. Part II. Implement a delay line. Part 3a. Determine how much memory can be used for a delay buffer. Part 3b. Determine how many instructions “fit ” in one sample period. Project 3: Doppler effect and flanger Part Ia. Doppler shift by drive by sound.
Polynomial interpolation in several variables
, 2000
"... This is a survey of the main results on multivariate polynomial interpolation in the last twentyfive years, a period of time when the subject experienced its most rapid development. The problem is considered from two different points of view: the construction of data points which allow unique inter ..."
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Cited by 71 (6 self)
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This is a survey of the main results on multivariate polynomial interpolation in the last twentyfive years, a period of time when the subject experienced its most rapid development. The problem is considered from two different points of view: the construction of data points which allow unique
Polynomial Interpolation in Several Variables
, 1994
"... INTRODUCTION One of the things I changed rather drastically in that textbook was the treatment of polynomial interpolation. I was then (and still am) much impressed with the e#ciency of the divided di#erence notion. It is a somewhat tricky Notion for the beginning student, and its treatment in the ..."
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Cited by 16 (2 self)
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INTRODUCTION One of the things I changed rather drastically in that textbook was the treatment of polynomial interpolation. I was then (and still am) much impressed with the e#ciency of the divided di#erence notion. It is a somewhat tricky Notion for the beginning student, and its treatment
On the History of Multivariate Polynomial Interpolation
 Computation of Curves and Surfaces
, 2000
"... Multivariate polynomial interpolation is a basic and fundamental subject in Approximation Theory and Numerical Analysis, which has received and continues receiving not deep but constant attention. In this short survey we review its development in the first 75 years of this century, including a p ..."
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Cited by 36 (5 self)
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Multivariate polynomial interpolation is a basic and fundamental subject in Approximation Theory and Numerical Analysis, which has received and continues receiving not deep but constant attention. In this short survey we review its development in the first 75 years of this century, including a
On Polynomial Interpolation Of Two Variables
 J. APPROX. THEORY
, 2003
"... Polynomial interpolation of two variables based on points that are located on multiple circles is studied. First, the poisedness of a Birkhoff interpolation on points that are located on several concentric circles is established. Second, using ..."
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Cited by 9 (1 self)
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Polynomial interpolation of two variables based on points that are located on multiple circles is studied. First, the poisedness of a Birkhoff interpolation on points that are located on several concentric circles is established. Second, using
On Polynomial Interpolation on the Unit Ball
, 2004
"... Polynomial interpolation on the unit ball of R^d has a unique solution if the points are located on several spheres inside the ball and the points on each sphere solves the corresponding interpolation problem on the sphere. Furthermore, the solution can be computed in a recursive way. ..."
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Polynomial interpolation on the unit ball of R^d has a unique solution if the points are located on several spheres inside the ball and the points on each sphere solves the corresponding interpolation problem on the sphere. Furthermore, the solution can be computed in a recursive way.
Two results on Polynomial Interpolation . . .
, 1991
"... We present two results that quantify the poor behavior of polynomial interpolation in n equally spaced points. First, in bandlimited interpolation of complex exponential functions e‘li (c ( E Iw), the error decreases to 0 as n + a, if and only if d ( is small enough to provide at least six points p ..."
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Cited by 1 (1 self)
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We present two results that quantify the poor behavior of polynomial interpolation in n equally spaced points. First, in bandlimited interpolation of complex exponential functions e‘li (c ( E Iw), the error decreases to 0 as n + a, if and only if d ( is small enough to provide at least six points
On partial polynomial interpolation
, 705
"... The AlexanderHirschowitz theorem says that a general collection of k double points in P n imposes independent conditions on homogeneous polynomials of degree d with a well known list of exceptions. We generalize this theorem to arbitrary zerodimensional schemes contained in a general union of doub ..."
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Cited by 1 (0 self)
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of double points. We work in the polynomial interpolation setting. In this framework our main result says that the affine space of polynomials of degree ≤ d in n variables, with assigned values of any number of general linear combinations of first partial derivatives, has the expected dimension if d ̸ = 2
On Multivariate Polynomial Interpolation
, 1990
"... We provide a map \Theta 7! \Pi \Theta which associates each finite set \Theta of points in C s with a polynomial space \Pi \Theta from which interpolation to arbitrary data given at the points in \Theta is possible and uniquely so. Among all polynomial spaces Q from which interpolation at \Theta i ..."
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Cited by 59 (13 self)
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We provide a map \Theta 7! \Pi \Theta which associates each finite set \Theta of points in C s with a polynomial space \Pi \Theta from which interpolation to arbitrary data given at the points in \Theta is possible and uniquely so. Among all polynomial spaces Q from which interpolation at \Theta
Results 1  10
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111,296