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1982
As we mentioned in the Introduction to Chapter 9, the calculation of lengths of curved lines was one of the principal problems that led to the creation of the calculus. It was an old and intractable problem. Archimedes had used polygons inscribed in a circle to calculate π, but nothing further was discovered about curve lengths until the seventeenth ...
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As we mentioned in the Introduction to Chapter 9, the calculation of lengths of curved lines was one of the principal problems that led to the creation of the calculus. It was an old and intractable problem. Archimedes had used polygons inscribed in a circle to calculate π, but nothing further was discovered about curve lengths until the seventeenth ...
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2000
Section 6.1 is a short introduction to using polar coordinates with MAPLE. In Sections 6.2–6.5 we plot the polar graphs of some remarkable curves (in particular, spirals, roses and crosses) and use inversion transformation.
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Section 6.1 is a short introduction to using polar coordinates with MAPLE. In Sections 6.2–6.5 we plot the polar graphs of some remarkable curves (in particular, spirals, roses and crosses) and use inversion transformation.
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Curve sketching in polar coordinates
1983Open image in new window Fig. 3.1 In Fig. 3.1(a), the position of the point P is given by the position vector \( \overrightarrow {OP} \) or by the cartesian coordinates (x, y), where ON = x, NP = y, with the normal sign convention applying when P takes positions in the other quadrants defined by the axes Ox and Oy. The point P may also be given
H. M. Kenwood, C. Plumpton
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Polar curves for transmission ellipsometry
Optics Communications, 1975Abstract For three-phase ambient-film-substrate systems, the ratio ϱ T = T p / T s of the complex amplitude-transmission coefficients T p and T s for light polarized parallel (p) and perpendicular (s) to the plane of incidence is related to a complex exponential function of film thickness d by a bilinear transformation.
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Polarization Light Curves and Spectra of AM-Her Polars
Astrophysics and Space Science, 1997Some polarization spectra and light curves are being generated to explore the properties of AM-Her(culis) shocks for which the cyclotron emission is self-consistently calculated. Here, we quantify several of the relationships between the polarization and the properties of the magnetic field for magnetic white dwarf oscillating radiative accretion ...
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Analytical polarization curve of DMFC anode
Advances in Energy Research, 2013A model for DMFC anode performance is developed. The model takes into account potential--independent methanol adsorption on the catalyst surface, finite rate of proton transport through the anode catalyst layer (ACL), and a potential loss due to methanol transport in the anode backing layer.
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Polarization Curve-Fitting by Computer Modelling
Corrosion, 1979A procedure is described for fitting empirical parameters pertaining to activation, concentration, and resistance polarization to experimental polarization curves. Simple superposition of the currents carried by different electrode reactions is assumed.
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Understanding and Calibration of Charge Storage Mechanism in Cyclic Voltammetry Curves
Angewandte Chemie - International Edition, 2021Xiangjun Pu, Dong Zhao, Zhongxue Chen
exaly