Brown v. Board of Education of Topeka, 347 U.S. 483 (1954), was a landmark decision by the U.S. Supreme Court which ruled that U.S. state laws establishing racial segregation in public schools are unconstitutional, even if the segregated schools are otherwise equal in quality. The decision partially overruled the Court's 1896 decision Plessy v. Ferguson, which had held that racial segregation laws did not violate the U.S. Constitution as long as the facilities for each race were equal in quality, a doctrine that had come to be known as "separate but equal". The Court's decision in Brown paved the way for integration and was a major victory of the civil rights movement, and a model for many future impact litigation cases.
The underlying case began in 1951 when the public school system in Topeka, Kansas, refused to enroll local black resident Oliver Brown's daughter at the elementary school closest to their home, instead requiring her to ride a bus to a segregated black school farther away. The Browns and twelve other local black families in similar situations filed a class-action lawsuit in U.S. federal court against the Topeka Board of Education, alleging that its segregation policy was unconstitutional. A special three-judge court of the U.S. District Court for the District of Kansas rendered a verdict against the Browns, relying on the precedent of Plessy and its "separate but equal" doctrine. The Browns, represented by NAACP chief counsel Thurgood Marshall, then appealed the ruling directly to the Supreme Court.
In May 1954, the Supreme Court issued a unanimous 9–0 decision in favor of the Browns. The Court ruled that "separate educational facilities are inherently unequal," and therefore laws that impose them violate the Equal Protection Clause of the Fourteenth Amendment of the U.S. Constitution. However, the decision's 14 pages did not spell out any sort of method for ending racial segregation in schools, and the Court's second decision in Brown II () only ordered states to desegregate "with all deliberate speed".
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The Jim Crow laws were state and local laws introduced in the Southern United States in the late 19th and early 20th centuries that enforced racial segregation, "Jim Crow" being a pejorative term for an African-American. Such laws remained in force until 1965. Formal and informal segregation policies were present in other areas of the United States as well, even if several states outside the South had banned discrimination in public accommodations and voting.
The Civil Rights Act of 1964 () is a landmark civil rights and labor law in the United States that outlaws discrimination based on race, color, religion, sex, and national origin. It prohibits unequal application of voter registration requirements, racial segregation in schools and public accommodations, and employment discrimination. The act "remains one of the most significant legislative achievements in American history". Initially, powers given to enforce the act were weak, but these were supplemented during later years.
When a mixture of particles, which differ in both their size and their density, avalanches downslope, the grains can either segregate into layers or remain mixed, dependent on the balance between particle-size and particle-density segregation. In this pape ...
A general continuum theory for particle size segregation and diffusive remixing in polydisperse granular avalanches is formulated using mixture theory. Comparisons are drawn to existing segregation theories for bi-disperse mixtures and the case of a ternar ...
Cambridge University Press2011
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We study a simple algorithm inspired by the Brazil nut effect for achieving segregation in a swarm of mobile robots. The algorithm lets each robot mimic a particle of a certain size and broadcast this information locally. The motion of each particle is con ...