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The equation defining a plane curve expressed in polar coordinates is known as a polar equation. In many cases, such an equation can simply be specified by defining r as a function of φ. The resulting curve then consists of points of the form (r(φ), φ) and can be regarded as the graph of the polar function r.
If the polar line of C with respect to a point Q is a line L, then Q is said to be a pole of L. A given line has (n−1) 2 poles (counting multiplicities etc.) where n is the degree of C. To see this, pick two points P and Q on L. The locus of points whose polar lines pass through P is the first polar of P and this is a curve of degree n−1.
This is a list of science fiction and fantasy awards for literature. A. Aelita Prize; Andre Norton Award; Arthur C. Clarke Award [1] Aurealis Award; August Derleth ...
A polar diagram could refer to: Polar area diagram, a type of pie chart; Radiation pattern, in antenna theory; A diagram based on polar coordinates; Spherical coordinate system, the three-dimensional form of a polar response curve; In sailing, a Polar diagram is a graph that shows a sailing boats potential wind speed over a range of wind and ...
Conversely, the polar line (or polar) of a point Q in a circle C is the line L such that its closest point P to the center of the circle is the inversion of Q in C. If a point A lies on the polar line q of another point Q, then Q lies on the polar line a of A. More generally, the polars of all the points on the line q must pass through its pole Q.
The Chesley Awards are the "pinnacle award" for art in the science fiction and fantasy genre. [1] Established in 1985 by the Association of Science Fiction and Fantasy Artists , the awards recognize individual artistic works and achievements during a given year.
The butterfly curve is a transcendental plane curve discovered by Temple H. Fay of University of Southern Mississippi in 1989. [1] ... or by the following polar equation:
The Saturn Awards [1] are American awards presented annually by the Academy of Science Fiction, Fantasy and Horror Films. The awards were created to honor science fiction , fantasy , and horror in film, but have since grown to reward other films belonging to genre fiction , as well as television and home media releases.