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ABSTRACT Myhre syndrome is an ultrarare genetic disease characterized by short stature, distinct craniofacial features, cardiovascular and respiratory fibrosis and stenosis, neurodevelopmental delays, autism, intellectual disability, and hearing loss. The natural history of Myhre syndrome is still not fully understood due to a small patient population ...
Mary K. Young +6 more
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ABSTRACT This study presents a comparative analysis of two optimization approaches: Sequential Iterative Optimization (SIO) and Non‐dominated Sorting Genetic Algorithm II (NSGA‐II) applied to the separation of ternary mixtures (1‐butanol, isobutanol, and 2‐butanol) using Dual‐Column Distillation (DCD) and Dividing‐Wall Column (DWC) processes. Through a
Ruijie Wang +5 more
wiley +1 more source
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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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