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Simpler rules for epimorphic regeneration: The polar-coordinate model without polar coordinates
Journal of Theoretical Biology, 1981Abstract The polar-coordinate model of French, Bryant & Bryant (1976) describes epimorphic regeneration in insects and amphibians, and correctly predicts some surprising phenomena. Their model rests on two main rules. It is shown here that the first of these, the Rule of Intercalation, expresses a requirement that the pattern of positional values ...
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The Origin of Polar Coordinates
The American Mathematical Monthly, 1952(1952). The Origin of Polar Coordinates. The American Mathematical Monthly: Vol. 59, No. 2, pp. 78-85.
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Walsh Series in Polar Coordinates
1987Walsh functions Ψ0, Ψ1, … have many applications to information theory (see [3]), especially to problems of pattern recognition and image enhancement. The Walsh system shares many properties with other orthonormal systems but is distinguished by the fact that each Ψj is locally constant, takes on only the values ±1, and the intervals of constancy ...
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1997
The importance of polar coordinates abound in mathematical sciences. However, its use so far has been confined to the continuous case. Here, we shall provide the explicit transformation formulae between discrete Cartesian coordinates, by which we mean n-tuples of integers, and what we shall call discrete polar coordinates, which will also be having ...
Ravi P. Agarwal, Patricia J. Y. Wong
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The importance of polar coordinates abound in mathematical sciences. However, its use so far has been confined to the continuous case. Here, we shall provide the explicit transformation formulae between discrete Cartesian coordinates, by which we mean n-tuples of integers, and what we shall call discrete polar coordinates, which will also be having ...
Ravi P. Agarwal, Patricia J. Y. Wong
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“The Polar Coordinate System, Graphs of Polar Equations and Calculus in Polar Coordinates”
2021openaire +1 more source
TOA Localization with Polar Coordinates
2023 13th International Conference on Advanced Computer Information Technologies (ACIT), 2023openaire +1 more source