Results 151 to 160 of about 36,891 (198)
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Algebraically rectifiable parametric curves
Computer Aided Geometric Design, 1993A differentiable parametric curve \((x(t),y(t))\) is said to be a polynomial parametric one, if \(x(t)\), \(y(t)\) both are polynomials. In this paper sufficient and necessary conditions for the arc length \(s(t) = \int^ t_ 0 \sqrt{x'{}^ 2(\tau) + y'{}^ 2(\tau)} d\tau\) of a polynomial parametric curve to be an algebraic function of the parameter are ...
Sakkalis, Takis, Farouki, Rida T.
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On Rectifiable Curves in the Plane
Acta Mathematica Sinica, English Series, 2001Summary: This paper gives a formula for the integral of rectifiable curves in the plane by the Hausdorff fractional derivative and integral.
Lu, Shi Pan, Lee, Cheng Ming
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Journal of the London Mathematical Society, 1996
The paper constructs an interesting example, namely a transcendental meromorphic function \(F\) whose Julia set \(J(F)\) is a rectifiable curve in \(\widehat{\mathbb{C}}\) but is neither a line nor a circle. The construction starts with a specific meromorphic function \(f\) such that \(J(f)=\mathbb{R}\) and constructs a corresponding quasiconformal map
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The paper constructs an interesting example, namely a transcendental meromorphic function \(F\) whose Julia set \(J(F)\) is a rectifiable curve in \(\widehat{\mathbb{C}}\) but is neither a line nor a circle. The construction starts with a specific meromorphic function \(f\) such that \(J(f)=\mathbb{R}\) and constructs a corresponding quasiconformal map
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Extended Rectifying Curves in Minkowski 3-Space
Advances in Applied Clifford Algebras, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yilmaz, Beyhan +2 more
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Polynomial Hulls of Rectifiable Curves
American Journal of Mathematics, 1995Dans \(\mathbb{C}^n\), soient \(X\) un continu dont la mesure de Hausdorff linéaire est finie (de sorte que \(X\) est connexe par arcs) et \(\widehat X\) l'enveloppe polynomiale de \(X\); selon \textit{H. Alexander} [Am. J. Math. 93, 65-74 (1971; Zbl 0221.32011) et ibid. 110, No.
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Rectifying Curves in the Three-Dimensional Hyperbolic Space
Mediterranean Journal of Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lucas, Pascual +1 more
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Summability on non-rectifiable Jordan curves
Georgian Mathematical Journal, 2018Abstract For a given parameterization of a Jordan curve, we define the notion of summability or classes of measurable functions on a contour where a new integral is introduced. It is shown that natural functional spaces defining summability for non-rectifiable Jordan curves are the Lebesgue spaces with the weighted norm.
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Approximating Measures and Rectifiable Curves
1989I began in [CZ] the study of the geometric meaning of discontinuities of approximating Hausdorff measures (cf. [F], §2. 10.1). Later those methods were developed and applied to questions regarding sets of constant width ([SZ], [St 1], [St 2]). In this paper I study some aspects regarding a plane rectifiable curve; precisely theor.
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Rectifiable Curves and the Weierstrass Integral
The American Mathematical Monthly, 1958(1958). Rectifiable Curves and the Weierstrass Integral. The American Mathematical Monthly: Vol. 65, No. 7, pp. 485-500.
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