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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.
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 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 ...
The species–area relationship or species–area curve describes the relationship between the area of a habitat, or of part of a habitat, and the number of species found within that area. Larger areas tend to contain larger numbers of species, and empirically, the relative numbers seem to follow systematic mathematical relationships. [ 1 ]
Consider a smooth real-valued function of two variables, say f (x, y) where x and y are real numbers.So f is a function from the plane to the line. The space of all such smooth functions is acted upon by the group of diffeomorphisms of the plane and the diffeomorphisms of the line, i.e. diffeomorphic changes of coordinate in both the source and the target.
Bergmann's rule - Penguins on the Earth (mass m, height h) [1] Bergmann's rule is an ecogeographical rule that states that, within a broadly distributed taxonomic clade, populations and species of larger size are found in colder environments, while populations and species of smaller size are found in warmer regions.
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.