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Polar coordinates in the plane employ a radial unit vector u < sub > ρ </ sub > and an angular unit vector u < sub > θ </ sub >, as shown above.
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Polar and coordinates
Polar coordinates centered at the center.
Polar coordinates centered at focus.
Figure 2: Polar coordinates for circular trajectory.
* Polar coordinates
The designs could be circular or oval starting from the center and working outward, reminiscent of the Polar coordinates system.
Polar and plane
* Polar coordinate system represents a point in the plane by a distance from the origin and an angle measured from a reference line intersecting the origin.
Polar and radial
* Polar distance ( geometry ), more correctly called radial distance, typically denoted r, a coordinate in polar coordinate systems ( r, θ )
Polar and unit
Polar unit vectors at two times t and t + dt for a particle with trajectory r ( t ); on the left the unit vectors u < sub > ρ </ sub > and u < sub > θ </ sub > at the two times are moved so their tails all meet, and are shown to trace an arc of a unit radius circle.
Within the last several years, Nike, Polar and other companies have produced and marketed sports watches for runners that include footpods, containing accelerometers to help determine the speed and distance for the runner wearing the unit.
* Polar sciences unit
A modification to the standard unit for Polar regions is the addition of a second, north facing, sphere and card, to record the sunlight during the summer when it remains in the sky for 24 hours.
Polar and vector
* Polar set, with respect to a bilinear pairing of vector spaces
Polar and <
Surveys of the SW Indian Ocean have shown phytoplankton group variation based on their location relative to the Polar Front, with diatoms dominating South of the front, and dinoflagellates and flagellates in higher populations North of the front < sup >.</ sup >
Polar subtangent and related concepts for a curve ( black ) at a given point P. The tangent and normal lines are shown in < font color ="# 00ff00 "> green </ font > and < font color ="# 0000ff "> blue </ font > respectively.
* Polar surface area no greater than 140 Ǻ < sup > 2 </ sup >
Polar protic solvents are favorable for S < sub > N </ sub > 1 reactions, while polar aprotic solvents are favorable for S < sub > N </ sub > 2 reactions.
Polar and >
* International Polar Year .< ref >
Polar and angular
Polar distance ( PD ) is an astronomical term associated with the celestial equatorial coordinate system Σ ( α, δ ) and it is an angular distance of a celestial object on its meridian measured from the celestial pole, similar as declination ( dec, δ ) is measured from the celestial equator:
Polar and shown
The Polar Express 4-D Experience is shown in the Imagination Cinema during the park's Smoky Mountain Christmas.
Polar diving experience has shown that buoyancy control is the critical skill affecting safety.
The current mayor is Andrew Taqtu who is well known for his preservation of traditional hunting skills as shown on a BBC film A Boy Among Polar Bears.
Though the publisher admitted that its claim was misleading on 20 September 2011, glaciologist Poul Christoffersen of the Scott Polar Research Institute further charged that a sizeable portion of the map shown as ice-free was still covered in ice.
Polar and above
** Polar circle, either of two circles of latitude marking the extreme southerly points ( northern hemisphere ) or northerly points ( southern hemisphere ) at which the sun may remain above or below the horizon for 24 continuous hours at some point during the year
In July 2011 The Federal Aviation Administration ( FAA ) issued a ruling that approves the use of Iridium for Future Air Navigation System ( FANS ) data links, enabling satellite data links with air traffic control ( ATC ) for aircraft flying in the FANS environment including areas not served by Inmarsat ( above or below 70 Degrees Latitude ) which includes Polar routes.
It can be argued that the Polar cell is the primary weathermaker for regions above the middle northern latitudes.
::: Polar orbit-A satellite that passes above or nearly above both poles of the planet on each revolution.
Polar night conditions are present November through February, and, conversely, the Sun remains above the horizon continuously during summer months.
Adult South Polar Skuas are greyish brown above, and have a whitish ( pale morph ) or straw-brown ( intermediate morph ) head and underparts, and the contrast between head and body makes it easy to separate from similar species with good views.
File: Polar Stratospheric Cloud type I above Cirrus. jpg | A type I PSC ( white cloud above the orange tropospheric clouds ), showing fine horizontal structures in the veil.
Data from NASA's Polar program confirms that the average elevation change above " was not significant ".
Polar filaments in both this stage and in the myxospore stage ( see picture above ) rapidly shoot into the body of the host, creating an opening through which the sporoplasm can enter.
Polar exploration was one of the fields in which the astrocompass saw the most use, for the reasons described above.
* First observations of Polar Mesosphere Summer Echoes ( PMSE ) above Davis Antarctic PMSE
The obverse has a symbolic representation of the Polar star above and flanked by simulated aerial exhaust trails or stylized wings.
Polar and .
Still further south lies the Polar front, which is marked by a transition to very cold, relatively fresh, Antarctic Surface Water at the surface.
Much of the biology in the area occurs along the major fronts of the current, the Subtropical, SubAntarctic, and the Antarctic Polar fronts, these are areas associated with well defined temperature changes.
Smithsonian at the Poles: Contributions to International Polar Year Science.
This proceedings volume features the research presented at the Smithsonian at the Poles symposium, convened as part of the International Polar Year 2007-2008.
* Polar Beverages of Worcester, Ma produces its own brand of cola under the Polar name.
* 1999 – NASA loses radio contact with the Mars Polar Lander moments before the spacecraft enters the Martian atmosphere.
Such competitions include the Polar Bear Invitational in Winnipeg, the Sting in Victoria, and the Alberta Provincial Championships in Edmonton or Calgary.
The Deep Space series was continued by the Deep Space 2 probes, which were launched in January 1999 on Mars Polar Lander and were intended to strike the surface of Mars.
* Inughuit people of north Greenland, who speak Inuktun or Polar Eskimo.
Polar bear and reindeer hunting in Greenland still occur but are regulated to avoid endangering the populations.
Additionally, the nesting sites needed to be close to rich feeding areas and be far enough from the mainland to discourage visitation by humans and Polar Bears.
Polar bears preyed on nesting colonies of the auk.
The Little Ice Age may have reduced the population of the Great Auk by exposing more of their breeding islands to predation by Polar Bears, but massive exploitation for their down drastically reduced the population.
Polar bears use their fur for warmth and while their skin is black, their transparent fur appears white and provides camouflage while hunting and serves as protection by hiding cubs in the snow.
Such very rare events are known as Polar Cap Absorption ( or PCA ) events, because the increased ionization significantly enhances the absorption of radio signals passing through the region.
Polar molecules have a net attraction between them.
During the International Polar Year 1882-1883 the Austro-Hungarian North Pole Expedition stayed one year at Jan Mayen.
Polar bears appear on Jan Mayen, although in diminished numbers compared with earlier times.
Polar bears are genetically distinguishable in this region of the Arctic from those living elsewhere.
* 1999 – The Mars Polar Lander is launched.
2.400 seconds.