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Maysville, Kentucky

Maysville is a home rule-class city in Mason County, United States and is the seat of Mason County. The population was 9,011 at the 2010 census, making it the 40th-largest city in Kentucky by population. Maysville is on the Ohio River, 66 miles northeast of Lexington, it is the principal city of the Maysville Micropolitan Statistical Area, which includes Mason and Lewis counties. Two bridges cross the Ohio from Maysville to Aberdeen, Ohio: the Simon Kenton Memorial Bridge built in 1931 and the William H. Harsha Bridge built in 2001. On the edge of the outer Bluegrass Region, Maysville is important in Kentucky's settlement. Frontiersmen Simon Kenton and Daniel Boone are among the city's founders. Maysville became an important port on the Ohio River for the northeastern part of the state, it exported bourbon whiskey and tobacco, the latter two produced by African American slaves before the Civil War. It was once a center of wrought iron manufacture, sending ironwork downriver to decorate the buildings of Cincinnati and New Orleans, Louisiana.

Other small manufacturers located early in Maysville and manufacturing remains an important part of the modern economy. Under the leadership of Henry Means Walker, Maysville was home to one of the largest tobacco auction warehouses in the world for most of the 20th century. Maysville was an important stop on the Underground Railroad, as the free state of Ohio was just across the river. Abolitionist author Harriet Beecher Stowe visited the area in 1833 and watched a slave auction in front of the court house in Washington, the original seat of the county and now a historic district of Maysville, she included the scene in her influential novel Uncle Tom's Cabin, published in 1852. Buffalo once forded the Ohio here, beating a broad path into the interior of Kentucky in search of salt licks. For thousands of years, various cultures of indigenous peoples inhabited the area, hunting the buffalo and other game. In the 17th century, the powerful Iroquois Confederacy, based in present-day New York state, drove out other tribes to hold the Ohio Valley as a hunting ground.

European-American settlers traveling down the Ohio in the 18th century and early 19th century found a natural harbor at Limestone Creek. The buffalo trace a well-used trail traveled for centuries by Native Americans, was a natural path into the bluegrass region, extending all the way to Lexington, Kentucky. Frontiersman Simon Kenton made the first settlement in the area in 1775, but temporarily abandoned that to fight in the western battles of the American Revolution. Returning in 1784, Kenton built a blockhouse at the site of Maysville and founded Kenton's Station at a site three miles inland. Kenton met new settlers at Limestone, as the landing place was called, escorted them inland to his station. In 1786 the village which grew up near Kenton's Station was established by act of the Virginia General Assembly as the town of Washington. By this time, John May had acquired the land at Limestone and Daniel Boone established a trading post and tavern there. In 1787 the little settlement was incorporated as Maysville, though the name Limestone persisted well into the 19th century.

In 1788, when Mason County was organized and Washington was named its county seat, Maysville was still a primitive site of warehouses and wharves, with few dwellings. In 1795, the conclusion of the Northwest Indian War reduced the likelihood of Indian attacks from across the Ohio. Maysville began to flourish. Zane's Trace, a road from Wheeling, Virginia, to the bank of the Ohio River opposite Maysville, was completed in 1797 and stimulated ferry traffic across the river. By 1807, Maysville was one of two principal ports in Kentucky. In 1811, the first steamboat came down the Ohio from Pittsburgh, passing Maysville on its way to New Orleans. With the coming of the steamboat, Maysville's population and area expanded rapidly. Southwest from Maysville, the road followed the former buffalo trace and Native American trail to Lexington, it was called both the Limestone Road. It was maintained by the various counties through which it passed with local labor from the county levies; the road was rough and during certain seasons impassable.

In 1829, the Kentucky legislature authorized the Maysville, Washington and Lexington Turnpike Road Company to construct a modern roadway along the route of the old Limestone Road. Users would be charged fees for maintenance and paying off the debt to shareholders; the act set aside blocks of shares for purchase by the federal government. Henry Clay, an influential Kentucky politician and proponent of the American System, argued for the Maysville Road and other infrastructure, noting it would be part of a longer road terminating in New Orleans and proper for federal funding. In 1830, Congress passed a bill authorizing the federal government to purchase shares in the turnpike company. President Andrew Jackson, a bitter rival of Clay, vetoed the bill, arguing that the project was of purely local benefit; the Maysville Road veto was one of Jackson's first acts in aligning the federal government with his principles of Jacksonian democracy. An attempt to override Jackson's veto failed, but the controversy over the Maysville Road veto continued for some time.

The turnpike was completed in 1835 with funding from private investment. It was the first macadamized road in the state. Today it is U. S. Route 68. By the 1830s, Maysville had a population of 3,000 and was the second-most important commercial city in Kentucky after Louisville. Washington, the county seat, had dwindled in importance after a fire i

Olivia Buckingham

Olivia Croucher Buckingham is a Hong Kong-born British socialite, magazine editor, former photographer. She is a contributing editor to Hong Kong Thailand Tatler. Buckingham was born in Hong Kong in 1990, her family has been in Hong Kong for four generations. Her maternal great-grandfather was businessman Noel Croucher, she boarded at Heathfield School and studied photography at the London School of Fine Arts. Buckingham worked as a portrait and landscape photographer, with her first exhibit shown at China Tang in London, she began working for a public relations firm but left the public relations job to become a fashion stylist. Buckingham is a contributing editor to Hong Kong Thailand Tatler. In 2019 she partnered with Lady Emily Compton to release a jewellery collection called RockChic, she partnered with Lady Emily to launch Emily & Olivia, a styling service

Multi-compartment model

A multi-compartment model is a type of mathematical model used for describing the way materials or energies are transmitted among the compartments of a system. Each compartment is assumed to be a homogeneous entity within which the entities being modelled are equivalent. For instance, in a pharmacokinetic model, the compartments may represent different sections of a body within which the concentration of a drug is assumed to be uniformly equal. Hence a multi-compartment model is a lumped parameters model. Multi-compartment models are used in many fields including pharmacokinetics, biomedicine, systems theory, complexity theory, physics, information science and social science; the circuits systems can be viewed as a multi-compartment model as well. In systems theory, it involves the description of a network whose components are compartments that represent a population of elements that are equivalent with respect to the manner in which they process input signals to the compartment. Instant homogeneous distribution of materials or energies within a "compartment."

The exchange rate of materials or energies among the compartments is related to the densities of these compartments. It is desirable that the materials do not undergo chemical reactions while transmitting among the compartments; when concentration of the cell is of interest the volume is assumed to be constant over time, though this may not be true in reality. Most the mathematics of multi-compartment models is simplified to provide only a single parameter—such as concentration—within a compartment; the simplest application of multi-compartment model is in the single-cell concentration monitoring. If the volume of a cell is V, the mass of solute is q, the input is u and the secretion of the solution is proportional to the density of it within the cell the concentration of the solution C within the cell over time is given by d q d t = u − k q C = q V where k is the proportionality; as the number of compartments increases, the model can be complex and the solutions beyond ordinary calculation.

The formulae for n-cell multi-compartment models become: q ˙ 1 = q 1 k 11 + q 2 k 12 + ⋯ + q n k 1 n + u 1 q ˙ 2 = q 1 k 21 + q 2 k 22 + ⋯ + q n k 2 n + u 2 ⋮ q ˙ n = q 1 k n 1 + q 2 k n 2 + ⋯ + q n k n n + u n Where 0 = ∑ i = 1 n k i j for j = 1, 2, …, n Or in matrix forms: q ˙ = K q + u Where K = q = [ q 1 q 2 ⋮