نتایج جستجو برای: cubic function

تعداد نتایج: 1233847  

Journal: :Math. Comput. 2002
Hyun Kwang Kim Jung Soo Kim

In this paper, we are interested in the evaluation of the zeta function of the simplest cubic field. We first introduce Siegel’s formula for values of the zeta function of a totally real number field at negative odd integers. Next, we will develop a method of computing the sum of a divisor function for ideals, and will give a full description for a Siegel lattice of the simplest cubic field. Us...

Journal: :Math. Comput. 2007
Kai Bittner Karsten Urban

We construct interpolating divergence-free multiwavelets based on cubic Hermite splines. We give characterizations of the relevant function spaces and indicate their use for analyzing experimental data of incompressible flow fields. We also show that the standard interpolatory wavelets, based on the Deslauriers-Dubuc interpolatory scheme or on interpolatory splines, cannot be used to construct ...

Journal: :Computer-Aided Design 2011
Cem Yuksel Scott Schaefer John Keyser

The behavior of Catmull-Rom curves heavily depends on the choice of parameter values at the control points. We analyze a class of parameterizations ranging from uniform to chordal parameterization and show that, within this class, curves with centripetal parameterization contain properties that no other curves in this family possess. Researchers have previously indicated that centripetal parame...

2008
Pieter Rozenhart Renate Scheidler

We give a general method for tabulating all cubic function fields over Fq(t) whose discriminant D has odd degree, or even degree such that the leading coefficient of −3D is a non-square in Fq , up to a given bound on |D| = q. The main theoretical ingredient is a generalization of a theorem of Davenport and Heilbronn to cubic function fields. We present numerical data for cubic function fields o...

2007
R. Scheidler

This paper investigates the arithmetic of fractional ideals and the infrastructure of the principal ideal class of a purely cubic function eld of unit rank one. We rst describe how irreducible polynomials split into prime ideals in purely cubic function elds of nonzero unit rank. This decomposition behavior is used to compute so-called canonical bases of fractional ideals; such bases are very s...

2003
Luanne Lohr

Luanne Lohr and Lynn R. Harvey Michigan State University Conflict over property rights is certainly not a new topic. Conflicts arise because individuals or groups expressing different preferences claim rights to the same good, whether that good be an acre of land or a cubic foot of air. The agricultural sector, once the basis for the dominant lifestyle in the United States, has more recently cl...

1981
ROBERT G. KEYS

Absfrucf-Cubic convolution interpolation is a new technique for resampling discrete data. It has a number of desirable features which make it useful for image processing. The technique can be performed efficiently on a digital computer. The cubic convolution interpolation function converges uniformly to the function being interpolated as the sampling increment approaches zero, With the appropri...

Journal: :Computer Aided Geometric Design 2001
Thomas G. Berry Richard R. Patterson

In this paper we unify the two subjects of implicitization and parametrization of nonsingular cubic surfaces. Beginning with a cubic parametrization with six basepoints, we first form a three by four Hilbert–Burch matrix, and then a three by three matrix of linear forms whose determinant is the implicit equation. Beginning with an implicit equation, we show how to construct a three by three mat...

Journal: :Formalized Mathematics 2009
Marco Riccardi

In this paper a, b are complex numbers. The following propositions are true: (1) a · a = a2. (2) a · a · a = a3. (3) a · a · a · a = a4. (4) (a− b) = (a2 − 2 · a · b) + b2. (5) (a− b) = ((a3 − 3 · a2 · b) + 3 · b2 · a)− b3. (6) (a− b) = (((a4 − 4 · a3 · b) + 6 · a2 · b2)− 4 · b3 · a) + b4. Let n be a natural number and let r be a real number. We introduce r1/n as a synonym of n √ r. Let n be a ...

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