Quadrant (plane geometry)
The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes.
These are often numbered from 1st to 4th and denoted by Roman numerals: I (where the signs of the two coordinates are (+,+)), II (−,+), III (−,−), and IV (+,−). When the axes are drawn according to the mathematical custom, the numbering goes counter-clockwise starting from the upper right ("northeast") quadrant.
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Cartesian coordinate system
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length. Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin, usually at ordered pair (0, 0). The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin.
One can use the same principle to specify the position of any point in three-dimensional space by three Cartesian coordinates, its signed distances to three mutually perpendicular planes (or, equivalently, by its perpendicular projection onto three mutually perpendicular lines). In general, n Cartesian coordinates (an element of real n-space) specify the point in an n-dimensional Euclidean space for any dimension n. These coordinates are equal, up to sign, to distances from the point to n mutually perpendicular hyperplanes.
Circular sector
A circular sector or circle sector (symbol: ⌔), is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. In the diagram, θ is the central angle in radians, 
the radius of the circle, and 
is the arc length of the minor sector.
A sector with the central angle of 180° is called a half-disk and is bounded by a diameter and a semicircle. Sectors with other central angles are sometimes given special names, these include quadrants (90°), sextants (60°) and octants (45°), which come from the sector being one 4th or 6th or 8th part of a full circle, respectively.
The angle formed by connecting the endpoints of the arc to any point on the circumference that is not in the sector is equal to half the central angle.
Area
The total area of a circle is 
. The area of the sector can be obtained by multiplying the circle's area by the ratio of the angle and 
(because the area of the sector is proportional to the its angle, and is the angle for the whole circle, in radians):
Melange (fictional drug)
Melange (/meɪˈlɑːndʒ/ or /meɪˈlɑːnʒ/), often referred to as simply "the spice", is the name of the fictional drug central to the Dune series of science fiction novels by Frank Herbert, and derivative works.
In the series, the most essential and valuable commodity in the universe is melange, a drug that gives the user a longer life span, greater vitality, and heightened awareness; it can also unlock prescience in some humans, depending upon the dosage and the consumer's physiology. This prescience-enhancing property makes safe and accurate interstellar travel possible. Melange comes with a steep price, however: it is addictive, and withdrawal is fatal.
Carol Hart analyzes the concept in the essay "Melange" in The Science of Dune (2008). According to Paul Stamets, Herbert's creation of the drug was related in part to his own personal experiences with psilocybin mushrooms.
Description
Herbert is vague in describing the appearance of the spice. He hints at its color in Dune Messiah (1969) when he notes that Guild Navigator Edric "swam in a container of orange gas ... His tank's vents emitted a pale orange cloud rich with the smell of the geriatric spice, melange." Later in Heretics of Dune (1984), a discovered hoard of melange appears as "mounds of dark reddish brown." Herbert also indicates fluorescence in God Emperor of Dune (1981) when the character Moneo notes, "Great bins of melange lay all around in a gigantic room cut from native rock and illuminated by glowglobes ... The spice had glowed radiant blue in the dim silver light. And the smell—bitter cinnamon, unmistakable." Herbert writes repeatedly, starting in Dune (1965), that melange possesses the odor of cinnamon.
Spice (Perfume song)
"Spice" (スパイス, Supaisu) is the nineteenth single of Japanese girl group Perfume. It was released on November 2, 2011, as the lead single to the group's third studio album, JPN. It was also the group's last single to be released under Tokuma Japan Communications as the group moved to Universal Music Japan (as announced February 28, 2012) for their future releases.
Background
The B-side song, "Glitter", was first used in the commercial for Kirin. Then on September 5, 2011, the group released information on their website about a new single and album, both slated for release for November. The new single will be released on November 2 and will contain two songs including "Glitter" which was featured as a “Kirin Chu-Hi Hyouketsu” CM song. The group also announced that their third studio album will be released on November 30.
The name of the single was finally announced on September 26. It was also chosen as the theme song for the upcoming TBS drama “Sengyo Shufu Tantei ~Watashi wa Shadow“, starring actress Kyoko Fukada making it the group’s first single to tie-in with a drama series. The group's producer Yasutaka Nakata was heavily influenced by the image of the drama when he wrote “Spice”. It’s also the first time that he produced a soundtrack for them.
Podcasts:
