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Ford's Theatre

Ford's Theatre is a theater located in Washington, D. C. which opened in August 1863. It is famous for being the site of the assassination of United States President Abraham Lincoln on April 14, 1865. After being shot, the fatally wounded 56-year old Lincoln was carried across the street to the Petersen House, where he died the next morning; the theater was used as a warehouse and office building, in 1893 part of it collapsed, causing 22 deaths. It was renovated and re-opened as a theater in 1968. During the 2000s, it was renovated again, opening on February 12, 2009, in commemoration of the bicentennial of Lincoln's birth. A related Center for Education and Leadership museum experience opened February 12, 2012, next to Petersen House; the Petersen House and the theater are preserved together as Ford's Theatre National Historic Site, administered by the National Park Service. The site was a house of worship, constructed in 1833 as the second meeting house of the First Baptist Church of Washington, with Obadiah Bruen Brown as the pastor.

In 1861, after the congregation moved to a newly built structure, John T. Ford renovated it into a theater, he first called it Ford's Athenaeum. It was destroyed by fire in 1862, was rebuilt. On April 14, 1865—just five days after General Lee's surrender at Appomattox Court House—Lincoln and his wife attended a performance of Our American Cousin at Ford's Theatre; the famous actor John Wilkes Booth, desperate to aid the dying Confederacy, made his way into the presidential box and shot Lincoln. Booth jumped down to the stage, escaped through a rear door. Following the assassination, the United States Government appropriated the theater, with Congress paying Ford $88,000 in compensation, an order was issued forever prohibiting its use as a place of public amusement. Between 1866 and 1887, the theater was taken over by the U. S. military and served as a facility for the War Department with records kept on the first floor, the Library of the Surgeon General's Office on the second floor, the Army Medical Museum on the third.

In 1887, the building became a clerk's office for the War Department, when the medical departments moved out. On June 9, 1893, the front part of the building collapsed, killing 22 clerks and injuring another 68; this led some people to believe that the former church turned storeroom was cursed. The building was repaired and used as a government warehouse until 1911, it languished unused until 1918. In 1928, the building was turned over from the War Department Office to the Office of Public Buildings and Parks of the National Capital. A Lincoln museum opened on the first floor of the theater building on February 12, 1932—Lincoln's 123rd birthday. In 1933, the building was transferred to the National Park Service; the restoration of Ford's Theatre was brought about by the two decade-long lobbying efforts of Democratic National Committeeman Melvin D. Hildreth and Republican North Dakota Representative Milton Young. Hildreth first suggested to Young the need for its restoration in 1945. Through extensive lobbying of Congress, a bill was passed in 1955 to prepare an engineering study for the reconstruction of the building.

In 1964, Congress approved funds for its restoration, which began that year and was completed in 1968. On January 21, 1968, Vice President Hubert Humphrey and 500 others dedicated the restored theater; the theater reopened on January 1968, with a gala performance. The presidential box is never occupied; the theater was again renovated during the 2000s. It has a current seating capacity of 665; the re-opening ceremony was on February 2009, which commemorated Lincoln's 200th birthday. The event featured remarks from President Barack Obama as well as appearances by Katie Couric, Kelsey Grammer, James Earl Jones, Ben Vereen, Jeffrey Wright, the President's Own Marine Band, Joshua Bell, Patrick Lundy and the Ministers of Music, Audra McDonald and Jessye Norman; the National Historic Site consisting of two contributing buildings, the theater and the Petersen House, was designated in 1932. The Ford's Theatre Museum beneath the theater contains portions of the Olroyd Collection of Lincolniana. Most renovated for a July 2009 reopening, the Museum is run through a partnership with the National Park Service and the private non-profit 501 Ford's Theatre Society.

The collection includes multiple items related to the assassination, including the Derringer pistol used to carry out the shooting, Booth's diary and the original door to Lincoln's theater box. In addition, a number of Lincoln's family items, his coat, some statues of Lincoln and several large portraits of the President are on display in the museum; the blood-stained pillow from the President's deathbed is in the Ford's Theatre Museum. In addition to covering the assassination conspiracy, the renovated museum focuses on Lincoln's arrival in Washington, his presidential cabinet, family life in the White House and his role as orator and emancipator; the museum features exhibits about Civil War milestones and generals and about the building's history as a theatrical venue. The rocking chair in which Lincoln was sitting is now on display at The Henry Ford Museum in Dearborn, Michigan. After Lincoln was shot, doctors had soldiers carry him into the street in search of a house in which he would be more comfortable.

A man on the steps of the house of tailor William Petersen beckoned to them. They took Lincoln into the first-floor bedroom and laid him on the bed – diagonally because of his unusual height. Many people came to visit him throughout the night. Lincoln died the next morning at 7:22 a.m. The

Greer, Arizona

Greer is an unincorporated community and census-designated place in Apache County, United States. It lies at an elevation of 8,300 feet in the White Mountains of Arizona, is surrounded by the Apache-Sitgreaves National Forest; as of the 2010 census it had a population of 41. Greer was founded around 1879 by Mormon settlers from Utah; the Greer post office has the ZIP code of 85927. Greer is a town located near the towns of Springerville and Eagar in northeast Arizona, near the New Mexico border, its position in the valley of the Little Colorado River near various lakes means that temperatures are milder than surrounding areas. Sunrise Park Resort, a skiing resort, is located about half an hour's drive west. While Greer is a four hour drive from Phoenix and a four-and-a-half hour drive from Tucson, it remains one of the most popular summer vacation destinations in Arizona, as it is 20-30 degrees cooler than the deserts. Greer was founded by Mormon Willard Lee and his family in 1879. A small community named Lee Valley developed.

The Post Office requested a shorter name, so Greer was settled on. On June 8, 2011, portions of the east side of town were overrun by the Wallow Fire. While some buildings were destroyed, most of the structures in town remain intact. Greer has a humid continental climate; the United States Postal Service operates the Greer Post Office. The Apache County Library District operates the Greer Memorial Library. Apache-Sitgreaves National Forest 630 miles of trout streams and 22 trout lakes within a 30-mile radius of Greer East Fork Trail to Mount Baldy, one of Arizona's classic streamside hikes Sunrise Park Resort ski area Hon-dah Casino on the White Mountain Apache Reservation Business Council of Greer GreerAZ.com Greer community profile at Arizona Department of Commerce Greer photo gallery

Degenerate distribution

In mathematics, a degenerate distribution is a probability distribution in a space with support only on a space of lower dimension. If the degenerate distribution is univariate it is a deterministic distribution and takes only a single value. Examples include rolling a die whose sides all show the same number; this distribution satisfies the definition of "random variable" though it does not appear random in the everyday sense of the word. In the case of a real-valued random variable, the degenerate distribution is localized at a point k0 on the real line; the probability mass function equals 1 at 0 elsewhere. The degenerate univariate distribution can be viewed as the limiting case of a continuous distribution whose variance goes to 0 causing the probability density function to be a delta function at k0, with infinite height there but area equal to 1; the cumulative distribution function of the univariate degenerate distribution is: F k 0 = { 1, if x ≥ k 0 0, if x < k 0 {\displaystyle F_=\left\ In probability theory, a constant random variable is a discrete random variable that takes a constant value, regardless of any event that occurs.

This is technically different from an surely constant random variable, which may take other values, but only on events with probability zero. Constant and surely constant random variables, which have a degenerate distribution, provide a way to deal with constant values in a probabilistic framework. Let X: Ω → R be a random variable defined on a probability space. X is an surely constant random variable if there exists k 0 ∈ R such that Pr = 1, is furthermore a constant random variable if X = k 0, ∀ ω ∈ Ω. Note that a constant random variable is surely constant, but not vice versa, since if X is surely constant there may exist γ ∈ Ω such that X ≠ k0. For practical purposes, the distinction between X being constant or surely constant is unimportant, since the cumulative distribution function F of X does not depend on whether X is constant or'merely' surely constant. In either case, F = { 1, x ≥ k 0, 0, x < k 0. The function F is a step function. Degeneracy of a multivariate distribution in n random variables arises when the support lies in a space of dimension less than n.

This occurs. For example, in the 2-variable case suppose that Y = aX + b for scalar random variables X and Y and scalar constants a ≠ 0 and b. All the possible points fall on the one-dimensional line y = ax + b. In general when one or more of n random variables are linearly determined by the others, if the covariance matrix exists its determinant is 0, so it is positive semi-definite but not positive definite, the joint probability distribution is degenerate. Degeneracy can occur with non-zero covariance. For example, when scalar X is symmetrically distributed about 0 and Y is given by Y = X 2, all possible points fall on the parabola y = x 2, a one-dimensional subset of the two-dimensional space