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Encyclopedia > Polar distribution

In probability theory, the polar distribution is the probability distribution of angles occurring in a set of two-dimensional vectors, denoted by Probability theory is the mathematical study of probability. ... In mathematics, a probability distribution assigns to every interval of the real numbers a probability, so that the probability axioms are satisfied. ...

It is usually graphically represented as a closed curve In mathematics, the concept of a curve tries to capture the intuitive idea of a geometrical one-dimensional and continuous object. ...

,

where the radius r equals the probability p.

## Example

By computing the probability distribution of angles along a handwritten ink trace, a lobe-shaped polar distribution emerges. The main direction of the lobe in the first quadrant corresponds to the slant of handwriting (see: graphonomics). (1. ... The interdisciplinary field of graphonomics is directed towards the scientific analysis of the handwriting process and the handwritten product. ...

Results from FactBites:

 Chemical polarity - Wikipedia, the free encyclopedia (824 words) Polarity refers to the dipole-dipole intermolecular forces between the slightly positively-charged end of one molecule to the negative end of another or the same molecule. Molecular polarity is dependent on the difference in electronegativity between atoms in a compound and the asymmetry of the compound's structure. A completely polar bond is more correctly termed ionic bonding and occurs when the difference between electronegativities is large enough that one atom takes an electron from the other.
 Species Status Reports - Polar Bear (1006 words) A discrete population of polar bears is known to range in the southern Beaufort Sea from Icy Cape, Alaska, to the Baillie Islands, NWT. The occurrence of polar bears on the coast during the summer tourist season is uncommon and unpredictable, although there have been parties of adventurers who have seen a polar bear and it easily becomes the highlight of their western arctic summer holiday. Polar bears in or constructing dens are protected, as are family groups with cubs of the year or yearlings.
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