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Chinese New Year or the Spring Festival (see also Names) is a festival that celebrates the beginning of a new year on the traditional lunisolar Chinese calendar.Marking the end of winter and the beginning of spring, observances traditionally take place from Chinese New Year's Eve, the evening preceding the first day of the year, to the Lantern Festival, held on the 15th day of the year.
- Spring Festival, Lunar New Year
- First day of the first lunar month
Guangzhou[a] is the capital and largest city of Guangdong province in southern China.[8] Located on the Pearl River about 120 km (75 mi) north-northwest of Hong Kong and 145 km (90 mi) north of Macau, Guangzhou has a history of over 2,200 years and was a major terminus of the Silk Road.[9] The port of Guangzhou serves as transportation hub and ...
Thank You is the second major-label studio album by American singer-songwriter Meghan Trainor. Epic Records released it on May 13, 2016. Trainor wrote it with Jacob Kasher Hindlin and producer Ricky Reed, among others, incorporating various genres to showcase her versatility. Thank You is a pop, dance-pop, and R&B album with themes such as self ...
Nineteen Eighty-Four (also published as 1984) is a dystopian novel and cautionary tale by English writer George Orwell. It was published on 8 June 1949 by Secker & Warburg as Orwell's ninth and final book completed in his lifetime.
- Definition
- Applications
- Coordinate System Conversions
- Generalization
- Integration and Differentiation in Spherical Coordinates
- Kinematics
- See Also
- Bibliography
- External Links
To define a spherical coordinate system, one must designate an origin point in space, O, and two orthogonal directions: the zenith reference direction and the azimuth reference direction. These choices determine a reference plane that is typically defined as containing the point of origin and the x– and y–axes, either of which may be designated as ...
Just as the two-dimensional Cartesian coordinate system is useful—has a wide set of applications—on a planar surface, a two-dimensional spherical coordinate system is useful on the surface of a sphere. For example, one sphere that is described in Cartesian coordinates with the equation x2 + y2 + z2 = c2 can be described in spherical coordinates by ...
As the spherical coordinate system is only one of many three-dimensional coordinate systems, there exist equations for converting coordinates between the spherical coordinate system and others.
It is also possible to deal with ellipsoids in Cartesian coordinates by using a modified version of the spherical coordinates. Let P be an ellipsoid specified by the level set The modified spherical coordinates of a point in P in the ISO convention (i.e. for physics: radius r, inclination θ, azimuth φ) can be obtained from its Cartesian coordinates...
The following equations (Iyanaga 1977) assume that the colatitude θ is the inclination from the positive z axis, as in the physics conventiondiscussed. The line element for an infinitesimal displacement from (r, θ, φ) to (r + dr, θ + dθ, φ + dφ)is This gives the transformation from the spherical to the cartesian, the other way around is given by it...
In spherical coordinates, the position of a point or particle (although better written as a triple( r , θ , φ ) {\displaystyle (r,\theta ,\varphi )} ) can be written as The angular momentumis The corresponding angular momentum operatorthen follows from the phase-space reformulation of the above, The torque is given as The kinetic energy is given as
Iyanaga, Shōkichi; Kawada, Yukiyosi (1977). Encyclopedic Dictionary of Mathematics. MIT Press. ISBN 978-0262090162.Morse PM, Feshbach H (1953). Methods of Theoretical Physics, Part I. New York: McGraw-Hill. p. 658. ISBN 0-07-043316-X. LCCN 52011515.Margenau H, Murphy GM (1956). The Mathematics of Physics and Chemistry. New York: D. van Nostrand. pp. 177–178. LCCN 55010911.Korn GA, Korn TM (1961). Mathematical Handbook for Scientists and Engineers. New York: McGraw-Hill. pp. 174–175. LCCN 59014456. ASIN B0000CKZX7."Spherical coordinates", Encyclopedia of Mathematics, EMS Press, 2001 [1994]The periodic table, also known as the periodic table of the elements, is an ordered arrangement of the chemical elements into rows ("periods") and columns ("groups").It is an icon of chemistry and is widely used in physics and other sciences. It is a depiction of the periodic law, which states that when the elements are arranged in order of their atomic numbers an approximate recurrence of ...
The summer solstice occurs during the hemisphere's summer. In the Northern Hemisphere, this is the June solstice (20 or 21 June) and in the Southern Hemisphere, this is the December solstice (21 or 22 of December).
