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The following is a list of 36 counties in the U. S. state of Oregon. The Oregon Constitution does not explicitly provide for county seats. More details on the etymologies of Oregon county names and place names in general are documented in Oregon Geographic Names. Oregon's postal abbreviation is OR and its FIPS state code is 41; the Federal Information Processing Standard code, used by the United States government to uniquely identify counties, is provided with each entry. The FIPS code for each county links to census data for that county. Umpqua County, Oregon Oregon locations by per capita income. List of U. S. county secession proposals#Oregon Lists of Oregon-related topics Historic county boundaries from the Oregon Archives Map of counties adjusted for population

The square root of 5 is the positive real number that, when multiplied by itself, gives the prime number 5. It is more called the principal square root of 5, to distinguish it from the negative number with the same property; this number appears in the fractional expression for the golden ratio. It can be denoted in surd form as: 5, it is an irrational algebraic number. The first sixty significant digits of its decimal expansion are: 2.23606797749978969640917366873127623544061835961152572427089….which can be rounded down to 2.236 to within 99.99% accuracy. The approximation 161/72 for the square root of five can be used. Despite having a denominator of only 72, it differs from the correct value by less than 1/10,000; as of November 2019, its numerical value in decimal has been computed to at least 2,000,000,000,000 digits. 1. This irrationality proof for the square root of 5 uses Fermat's method of infinite descent: Suppose that √5 is rational, express it in lowest possible terms as m/n for natural numbers m and n.

√5 can be expressed in lower terms as 5n − 2m/m − 2n, a contradiction. 2. This irrationality proof is a proof by contradiction: Suppose that √5 = a/b where a/b is in reduced form, thus 5 = a2/b2 and 5b2 = a2. If b were b2, a2, a would be making the fraction a/b not in reduced form, thus b is odd, by following a similar process, a is odd. Now, let a = 2m + 1 and b = 2n + 1 where m and n are integers. Substituting into 5b2 = a2 we get: 5 2 = 2 which simplifies to: 5 = 4 m 2 + 4 m + 1 making: 20 n 2 + 20 n + 5 = 4 m 2 + 4 m + 1 By subtracting 1 from both sides, we get: 20 n 2 + 20 n + 4 = 4 m 2 + 4 m which reduces to: 5 n 2 + 5 n + 1 = m 2 + m In other words: 5 n + 1 = m The expression x is for any integer x. So this says that 5 × + 1 = or odd = even. Since there is no integer, both and odd, we have reached a contradiction and √5 is irrational, it can be expressed as the continued fraction = 2 + 1 4 + 1 4 + 1 4 + 1 4 + …. The convergents and semiconvergents of this continued fraction are as follows: 2 1, 7 3, 9 4, 20 9, 29 13, 38 17, 123 55, 161 72, 360 161, 521 233, 682 305, 2207 987, 2889 1292, … Convergents of the continued fraction are colored red.

Each of these is the best rational approximation of √5.

The nearby Sielberg is notable for its fossils. Records survive of Roman knowledge of the area's springs; the present name first appeared as the seat of a court held by Charlemagne in the 8th century while trying the rebellious dukes of Alemannia and Bavaria. Cannstatt was the capital of the county of Württemberg into the 15th century. Cannstatt subsequently formed part of the duchy and kingdom of Württemberg, it lay about 2.5 miles from Stuttgart proper. In the 13th or 14th century, Louis the Bavarian expanded its rights and privileges to equality with Esslingen, its 15th-century cathedral was dedicated to St Uffo. In 1755, the Great Lisbon earthquake caused the town hall to subside about 3 feet. During the wars which followed the French Revolution, the town was the site on 21 July 1796 of a French victory over the Austrian Empire. In the 19th century, it boasted an attractive town hall, a royal theater, a market house, the Wilhelma and Rosenstein palaces, extensive industry including wool-spinning, dyeing and construction of machinery.

There were about 40 mineral springs, which were considered beneficial for "dyspepsia and weakness of the nervous system", as well as "diseases of the throat". Cannstatt was the site of Gottlieb Daimler's invention of the first petroleum-fueled automobile in 1886 and housed an automotive factory before the First World War. Around that time, it had notable railway and chemical works and a brewery. Cannstatt was incorporated into Stuttgart in 1904. Of the 19 surviving mineral springs, 11 are recognized as state wells. In the world, it is now second to only Újbuda in Hungary, in scale; the Mombach spring is the only one. Famous people associated with Bad-Cannstatt include: Gottlieb Daimler, inventor of the first automobile, developed in Cannstatt, part-founder of Daimler-Benz. Baynes, T. S. ed. "Canstatt", Encyclopædia Britannica, 5, New York: Charles Scribner's Sons, pp. 26–27. Chisholm, Hugh, ed. "Cannstatt", Encyclopædia Britannica, 5, Cambridge University Press, p. 189

Octomom Home Alone is a pornographic film featuring prominent American mother Nadya Suleman known as "Octomom", masturbating. The DVD was released on 16 July 2012 by Wicked Pictures and drew media attention given Suleman's celebrity and recognition from the AVN Awards. In 2009, Suleman gave birth to the Suleman octuplets. News of the octuplets caused an international media sensation. Public response was negative, including death threats. Although under severe financial pressure from raising 14 children, Suleman had publicly stated she would not do pornography, she explained that stance, saying "I’ve been celibate for 14 years and I’m a regular church-goer." She claimed she had never masturbated. However, in 2012 Suleman filed for bankruptcy in federal court, she thus reversed her earlier position, saying "If it's a job, it's a well-paying job, it's going to allow me to get out of here and move in a safe, huge home that they deserve, I'm going to do it." She was paid monthly royalties. Under director Brad Armstrong, Suleman filmed her scenes in a San Fernando Valley mansion.

She was nervous upon her arrival, but calmed after speaking with other adult performers. The producers showed Suleman pornographic films to prepare her and gave her advice on her performance. Suleman credited her manager, pornographic actress Gina Rodriguez of DD Entertainment, for producing and marketing the video. Suleman said of the video, "It was such a positive experience for me and helped me embrace my sexuality." She described the scenes as "empowering and liberating". In January 2013, Suleman went back on welfare, leading to questions of whether she may have to make more pornography. Octomom Home Alone was nominated for four AVN Awards, namely Best Celebrity Sex Tape, Best Solo Release, Best DVD Extras and Best Marketing Campaign, it won the Best Celebrity Sex Tape category, over competition by Leola Bell and Phil Varone. However, it lost Best Solo Release to All Natural Glamour Solos, II. Suleman had said after the nominations that "I am so proud of my video Octomom Home Alone and I am more than honored to find out it was nominated so many times!"

She said she would be at the award show, but Gina Rodriguez said Suleman would not go. On her win for Best Celebrity Sex Tape, she said, what an honor; this will open the doors to more opportunities."Alexander Espinoza of XCritic gave the film one out of five stars, saying it was disappointing and didn't deserve its award nominations. Adult actress Amber Peach critiqued the film, saying "The whole video from a porn standpoint just looks awkward and uncomfortable... and don't get me started on the part where she's lying naked in a pile of baby clothes, that's just disturbing." Conversely, Rob Perez of XCritic recommended the film, stating, "Octomom looks damn good." According to The Huffington Post, the film cast doubt among the public on Suleman's parenting abilities. In October 2012, TMZ reported one of Suleman's nannies spoke with the Orange County Department of Children and Family Services about Suleman's 11-year-old son watching Octomom Home Alone on the Internet. Suleman was upset by the incident and said she would talk to her son about not accessing pornography.

Octomom Home Alone at the Internet Movie Database

The Ugandan water supply and sanitation sector made substantial progress in urban areas from the mid-1990s until at least 2006, with substantial increases in coverage as well as in operational and commercial performance. Sector reforms from 1998 to 2003 included the commercialization and modernization of the National Water and Sewerage Corporation operating in cities and larger towns, as well as decentralization and private sector participation in small towns; these reforms have attracted significant international attention. Thirty-eight percent of the population, still had no access to an improved water source in 2010. Concerning access to improved sanitation, figures vary widely. According to government figures, it was 70 percent in rural areas and 81 percent in urban areas while according to the United Nations, access was only 34 percent; the water and sanitation sector was recognized as a key area under the 2004 Poverty Eradication Action Plan, Uganda's main strategy paper to fight poverty.