Australian Senior Mathematics Journal vol. 24 no. 2
نویسندگان
چکیده
Define twist as anticlockwise rotation about the origin, of each point on a graph, by t(r) radians, where t(r) is a function of the point’s distance r from the origin. Transformations of this nature are widely used in computer graphics and engineering (see e.g., Krishnamurthy, 2002). How should an equation f(x, y) = 0 be changed so that its graph is twisted? Since twist involves rotation, the polar coordinate system will prove to be useful. Begin with polar axis L. Twist it, and call the twisted polar axis L' (see Figure 1).
منابع مشابه
Fiftieth Annual List of Papers
Agnew, R. P. Some remarks on a paper entitled General Tauberian theorems." Read April 27, 1940. Journal of the London Mathematical Society, vol. 15, no. 4 (Oct., 1940), pp. 242-246. Tauberian conditions. Read Feb. 24, 1940. Annals of Mathematics, (2), vol. 42, no. 1 (Jan., 1941), pp. 293-308. On methods of summability and mass f unctions determined by hyper geometric coefficients. Read Jan. 1, ...
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