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The p-th polar of a C for a natural number p is defined as Δ Q p f(x, y, z) = 0. This is a curve of degree n−p. When p is n−1 the p-th polar is a line called the polar line of C with respect to Q. Similarly, when p is n−2 the curve is called the polar conic of C.
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 ...
[1] [2] More than a century later, the curve was discussed by Descartes (1638), and later extensively investigated by Jacob Bernoulli, who called it Spira mirabilis, "the marvelous spiral". The logarithmic spiral is distinct from the Archimedean spiral in that the distances between the turnings of a logarithmic spiral increase in a geometric ...
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.
Polar ecology is the relationship between plants and animals in a polar environment. Polar environments are in the Arctic and Antarctic regions. Arctic regions are in the Northern Hemisphere , and it contains land and the islands that surrounds it.
A biological network is a method of representing systems as complex sets of binary interactions or relations between various biological entities. [1] In general, networks or graphs are used to capture relationships between entities or objects. [1]
The polar bear has stocky limbs and very short ears that are in accordance with the predictions of Allen's rule, so does the snow leopard. [5] In 2007, R.L. Nudds and S.A. Oswald studied the exposed lengths of seabirds ' legs and found that the exposed leg lengths were negatively correlated with Tm axdiff (body temperature minus minimum ambient ...
The north polar circle on a polar projection. The polar circle as lines on a modified cylindrical projection. The Arctic Circle in Finland, 1975. The Arctic Circle in Norway at Saltfjellet mountain plateau in July 2003. A polar circle is a geographic term for a conditional circular line (arc) referring either to the Arctic Circle or the ...