and related disciplines of mathematics, the polar set A ∘ {\displaystyle A^{\circ }} is a special convex set associated to any subset A {\displaystyle A}...

\left(f(x)\right)\geq 0{\text{ for all }}x\in C\right\}} , which is the polar of the set -C. No matter what C is, C ′ {\displaystyle C^{\prime }} will be a...

{\displaystyle \mathbb {K} } , the absolute polar set or polar set of a subset A {\displaystyle A} of X {\displaystyle X} is the set: A ∘ := { y ∈ Y : sup x ∈ A | b...

inflated to include the set. A set that is not bounded is called unbounded. Bounded sets are a natural way to define locally convex polar topologies on the...

intersects its surface Polar climate, the climate common in polar regions Polar regions of Earth, locations within the polar circles, referred to as...

theory, polar sets are the "negligible sets", similar to the way in which sets of measure zero are the negligible sets in measure theory. A set Z {\displaystyle...

Polar is a 2019 neo-noir action thriller film directed by Jonas Åkerlund and written by Jayson Rothwell, based on Víctor Santos's 2013 graphic novel Polar:...

In mathematics, the polar coordinate system specifies a given point in a plane by using a distance and an angle as its two coordinates. These are the...

The polar bear (Ursus maritimus) is a large bear native to the Arctic and nearby areas. It is closely related to the brown bear, and the two species can...

coordinates, a two-dimensional orthogonal coordinate system Bipolar set, a derivative of a polar set Bipolar theorem, a theorem in convex analysis which provides...

point to a fixed point called the origin; the polar angle θ between this radial line and a given polar axis; and the azimuthal angle φ, which is the angle...

Tri-Polar is the third studio album by Australian rock band Sick Puppies, released on 14 July 2009. The album debuted at number 31 on the Billboard 200...

A polar body is a small haploid cell that is formed at the same time as an egg cell during oogenesis, but generally does not have the ability to be fertilized...

The Polar-Express is a 2004 American animated Christmas fantasy adventure film directed by Robert Zemeckis, who co-wrote the screenplay with William Broyles...

Polar Light, Polar Ice, Polar Zero and Polar Zilch. The name comes from the polar bear, whose image is imprinted on the beer bottles. Maltin Polar “energia...

will use some of the basic properties that are listed in the articles: polar set, dual system, and continuous linear operator. To start the proof, some...

field of geometry, a polar space of rank n (n ≥ 3), or projective index n − 1, consists of a set P, conventionally called the set of points, together with...

Polar night is a phenomenon that occurs in the northernmost and southernmost regions of Earth when the Sun remains below the horizon for more than 24 hours...

pole and polar are respectively a point and a line that have a unique reciprocal relationship with respect to a given conic section. Polar reciprocation...

Polar Class (PC) refers to the ice class assigned to a ship by a classification society based on the Unified Requirements for Polar Class Ships developed...

Northern Hemisphere's summer solstice, the Sun does not set. These phenomena are referred to as polar night and midnight sun respectively, and the further...

mathematics a polar topology, topology of G {\displaystyle {\mathcal {G}}} -convergence or topology of uniform convergence on the sets of G {\displaystyle...

A polar ice cap or polar cap is a high-latitude region of a planet, dwarf planet, or natural satellite that is covered in ice. There are no requirements...

impact of a comet's fragment in Northern Alaska that sets off a cataclysmic, electromagnetic polar reversal storm. In Lindenville, Washington, local television...

mathematics, in the area of potential theory, a pluripolar set is the analog of a polar set for plurisubharmonic functions. Let G ⊂ C n {\displaystyle...

A polar circle is a geographic term for a conditional circular line (arc) referring either to the Arctic Circle or the Antarctic Circle. These are two...

Midnight sun, also known as polar day, is a natural phenomenon that occurs in the summer months in places north of the Arctic Circle or south of the Antarctic...

The Polar Medal is a medal awarded by the Sovereign of the United Kingdom to individuals who have outstanding achievements in the field of polar research...

Polar Trappers is a 1938 Donald Duck and Goofy cartoon set in the South Pole, where the duo are trapping polar animals (or at least, attempting to). This...

be polar. Of the 32 crystallographic point groups, 10 are polar: The space groups associated with a polar point group do not have a discrete set of possible...