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Maxwell's equations

Maxwell's equations are a set of coupled partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, electric circuits. The equations provide a mathematical model for electric and radio technologies, such as power generation, electric motors, wireless communication, radar etc. Maxwell's equations describe how electric and magnetic fields are generated by charges and changes of the fields. An important consequence of the equations is that they demonstrate how fluctuating electric and magnetic fields propagate at a constant speed in a vacuum. Known as electromagnetic radiation, these waves may occur at various wavelengths to produce a spectrum of light from radio waves to γ-rays; the equations are named after the physicist and mathematician James Clerk Maxwell, who published an early form of the equations that included the Lorentz force law between 1861 and 1862. Maxwell first used the equations to propose; the equations have two major variants.

The microscopic Maxwell equations have universal applicability but are unwieldy for common calculations. They relate the electric and magnetic fields to total charge and total current, including the complicated charges and currents in materials at the atomic scale; the "macroscopic" Maxwell equations define two new auxiliary fields that describe the large-scale behaviour of matter without having to consider atomic scale charges and quantum phenomena like spins. However, their use requires experimentally determined parameters for a phenomenological description of the electromagnetic response of materials; the term "Maxwell's equations" is also used for equivalent alternative formulations. Versions of Maxwell's equations based on the electric and magnetic potentials are preferred for explicitly solving the equations as a boundary value problem, analytical mechanics, or for use in quantum mechanics; the covariant formulation makes the compatibility of Maxwell's equations with special relativity manifest.

Maxwell's equations in curved spacetime used in high energy and gravitational physics, are compatible with general relativity. In fact, Einstein developed special and general relativity to accommodate the invariant speed of light, a consequence of Maxwell's equations, with the principle that only relative movement has physical consequences; the publication of the equations marked the unification of described phenomena: magnetism, electricity and associated radiation. Since the mid-20th century, it has been understood that Maxwell's equations are not exact, but a classical limit of the fundamental theory of quantum electrodynamics. Gauss's law describes the relationship between a static electric field and the electric charges that cause it: a static electric field points away from positive charges and towards negative charges, the net outflow of the electric field through any closed surface is proportional to the charge enclosed by the surface. Picturing the electric field by its field lines, this means the field lines begin at positive electric charges and end at negative electric charges.'Counting' the number of field lines passing through a closed surface yields the total charge enclosed by that surface, divided by dielectricity of free space.

Gauss's law for magnetism states that there are no "magnetic charges", analogous to electric charges. Instead, the magnetic field due to materials is generated by a configuration called a dipole, the net outflow of the magnetic field through any closed surface is zero. Magnetic dipoles are best represented as loops of current but resemble positive and negative'magnetic charges', inseparably bound together, having no net'magnetic charge'. In terms of field lines, this equation states that magnetic field lines neither begin nor end but make loops or extend to infinity and back. In other words, any magnetic field line that enters a given volume must somewhere exit that volume. Equivalent technical statements are that the sum total magnetic flux through any Gaussian surface is zero, or that the magnetic field is a solenoidal vector field; the Maxwell–Faraday version of Faraday's law of induction describes how a time varying magnetic field creates an electric field. In integral form, it states that the work per unit charge required to move a charge around a closed loop equals the rate of change of the magnetic flux through the enclosed surface.

The dynamically induced electric field has closed field lines similar to a magnetic field, unless superposed by a static electric field. This aspect of electromagnetic induction is the operating principle behind many electric generators: for example, a rotating bar magnet creates a changing magnetic field, which in turn generates an electric field in a nearby wire. Ampère's law with Maxwell's addition states that magnetic fields can be generated in two ways: by electric current and by changing electric fields. In integral form, the magnetic field induced around any closed loop is proportional to the electric current plus displacement current through the enclosed surface. Maxwell's addition to Ampère's law is important: it makes the set of equations mathematically consistent for non static fields, without changing the laws of Ampere and Gauss for static fields. However, as a consequence, it predicts that a changing magnetic field induces an electric field and vice versa. Therefore, these equations allo


QUCHIC is a designer drug offered by online vendors as a cannabimimetic agent, was first detected being sold in synthetic cannabis products in Japan in early 2013, subsequently in New Zealand. The structure of QUCHIC appears to use an understanding of structure-activity relationships within the indole class of cannabimimetics, although its design origins are unclear. QUCHIC, along with QUPIC, represents a structurally unique synthetic cannabinoid chemotype since it contains an ester linker at the indole 3-position rather than the precedented ketone of JWH-018 and its analogues, or the amide of SDB-001 and its analogues. BB-22 acts as a full agonist with a binding affinity of 0.217nM at CB1 and 0.338nM at CB2 cannabinoid receptors. 5F-PB-22 JWH-018 PB-22 QUPIC SDB-001 SDB-005

Georgia State Route 242

State Route 242 is a 25.0-mile-long east–west state highway located in the central part of the U. S. state of Georgia. It travels through portions of Jefferson counties. SR 242 begins at an intersection with SR 24/SR 540 in Sandersville in Washington County; the highway makes a quick turn towards downtown Sandersville. The highway turns south onto SR 15 in the center of the city. After a 0.6-mile-long concurrency with SR 15, SR 242 turns east at Riddleville Road. The highway heads out of the city in a southeastern direction. Just before leaving Sandersville, it crosses a Sandersville Railroad line. Farther to the southeast, it crosses a Central of Georgia Railway line; the highway passes Jackson Cemetery before reaching Riddleville, where it intersects SR 231. After leaving town, SR 242 continues to the southeast, curves to the east and enters Jefferson County, it continues to the east to meet its eastern terminus, an intersection U. S. Route 221 /US 319/SR 78/SR 171 in Bartow. SR 242 is not part of the National Highway System.

SR 242 was established in 1946 along the same alignment. In 1950, the section from the western terminus to a point just over halfway to Ridleville was paved. In 1953, the entire length of the highway was paved. State Route 242 Spur is a two-and-a-half-mile-long spur route of SR 242 west of Sandersville, it is known as North Saffold Road for its entire length. It begins at an intersection with Kaolin Road and South Saffold Road in the southwestern part of the city near Kaolin Field, an airport serving the city; the highway leaves the city limits. It travels through a forested area and intersecting no paved roads until it curves to the north-northwest to its northern terminus, an intersection with the SR 242 mainline, only one-tenth mile from the latter's western terminus at SR 24; the road has a speed limit of 45 miles per hour. The entire route is in Washington County. Georgia portal U. S. roads portal

B. R. Pettit

B. R. Pettit was an American sculptor, best known for his bronze sculptures, which feature the rugged mountain men of the American West, his style was realistic, much of his work portrayed aspects of pioneer life, the joys of the Rocky Mountain Rendezvous, American Indian themes. During his lifetime, Pettit created about seventeen bronze sculptures, with the most famous being "Old Bill" Williams; the eight-foot monument stands as a sentinel in the town of Williams, the "gateway to the Grand Canyon." The statue has become an icon of historic Route 66. Pettit experienced fame when Senator Barry Goldwater unveiled the monument on April 26, 1980; the Bill Williams Mountain Men presented a 16-inch version of the sculpture to newly inaugurated President Ronald Reagan in January 1981, who kept it in the Oval Office. Pettit was the son of a building contractor, Ben Pettit, his wife, who moved their family from Waldron, Arkansas to Williams, Arizona in 1953; as a boy living in the rugged mountains and pine forests of Williams, B.

R. Pettit learned to love the history of mountain men, he studied art in college at Northern Arizona University. He worked on sculpture with Dr. Winthrop Williams there as the university is known for its large bronze foundries for casting such work. Pettit taught art for a short time. Pettit completed an 8-foot sculpture of "Old Bill" Williams for his master's thesis; the monument was unveiled near Route 66 by US Senator Barry Goldwater in 1980, the first year of what is now the annual event of Rendezvous Days. Pettit said in a 1995 newspaper interview: "I'd always wanted to build a statue of William Sherley Williams, to help honor the famous trapper and mountain man who this city is named after." The sculptor continued using his detailed historical knowledge to create portraits of the mountain men's struggles and joys. Altogether he made several of the mountain men. In January 1981, the Bill Williams Mountain Men, dressed in full garb, carried a sixteen-inch, bronze version of Ole Bill Williams to Washington DC.

The group presented the sculpture to Ronald Reagan at his inaugural celebrations. Pettit's piece was a favorite of President Reagan, as he displayed it prominently in the Oval Office during his terms. Afterward, he took the sculpture with him to California, where it was displayed in the Reagan living quarters; that bronze is now held in the collection of the Reagan Library. Pettit died at age 59 in 2006 in Williams from Addison's disease. Williams- Grand Canyon News, Vol 89, March 15, 1979, page 11. Williams- Grand Canyon News, Vol 91, April 24, 1980, page B5- B8

2014–15 Star Hotshots season

The 2014–15 Star Hotshots season is the 27th season of the franchise in the Philippine Basketball Association. August 24: The 2014 PBA Draft took place in Midtown Atrium, Robinson Place Manila. October 15: Team officials announced that the team will be renamed as the Purefoods Star Hotshots starting this season's Philippine Cup. October 22: The Grand Slam championship ring ceremony of the team was held before the start of their game against the Alaska Aces. November 9: The team retired the jersey numbers of Rey Evangelista and Jerry Codiñera before their game against Barangay Ginebra San Miguel, they wore a modified version of their 1989 jerseys. December 11:The Hotshots lost to the Meralco Bolts in the first phase of the quarterfinals having a twice-to-beat disadvantage, they hardly-fought in a cold-game but they struggled until the end game, losing the game with the score off 77-65; the loss ends the four-straight championship run of the Hotshots since the 2013 PBA Governors' Cup and it's the first time that the Hotshots did not qualify to the semis since the 2013 PBA Commissioner's Cup.

May 9:The franchise change their name to Star Hotshots. *Game went into overtime a The number of asterisks denotes the number of overtime occurred


Lanakawai — known as Lanaikawai and Lonokawai — was an ancient Hawaiian nobleman, a Prince of the island of Maui. He became a High Chief of the island of Hawaiʻi, his grandson was the founder of a dynasty of the chiefs of the Big Island. It is that Lanakawai was born on Maui, he was a son of ruler of Maui. The mother of Lanakawai was Mahuia, Lady of Maui, she is called Mahuie, whilst the brother of Lanakawai was High Chief Mauiloa. Mauiloa became a ruler of Maui, whilst Lanakawai became a ruler of Hawaiʻi. Lanakawai married his sister, Lady Kalohialiʻiokawai, called Kolohialiʻiokawai, they had at least two children: Laʻau — son Kukamolimaulialoha — daughter Laʻau and his sister were married, they went to Kahiki, where their children were born. Their son was Pilikaaiea, whilst their daughter was Hina-au-kekele. Lanakawai was succeeded by Kapawa, a man, a usurper, but, deposed by Lanakawai's grandson Pilikaaiea. Peleioholani, Solomon Lehuanui Kalaniomaiheuila. Genealogy of the Robinson family, ancient legends and chants of Hawaii