In linear algebra, the singular-value decomposition (SVD) is a factorization of a real or complex matrix. It is the generalization of the eigendecomposition of a positive semidefinite normal matrix (for example, a symmetric matrixwith positive eigenvalues) to any  matrix via an extension of the polar decomposition. It has many useful applications in signal processing and statistics.
Formally, the singular-value decomposition of an  real or complex matrix  is a factorization of the form , where  is an  real or complex unitary matrix,  is an  rectangular diagonal matrix with non-negative real numbers on the diagonal, and  is an  real or complex unitary matrix. The diagonal entries  of  are known as the singular values of . The columns of  and the columns of  are called the left-singular vectors and right-singular vectors of , respectively.
The singular-value decomposition can be computed using the following observations:
Avago (TV channel)
Avago was a television channel in the UK and Ireland between 2002 and 2006 on Sky Digital.
Temporal bone
The temporal bones are at the sides and base of the skull. They protect the structures of the inner ear.
The lower seven cranial nerves move along the inside of the temporal bones. The main blood vessels to and from the brain also move along the inside of the temporal bone.
The temporal bones are not the same in all mammals. The inner ear is usually not protected in marsupials, and in other placentals it is protected by a structure called the "auditory bulla".
Abby Finkenauer
Abby Lea Finkenauer (born December 27, 1988) is an American politician. She is a member of the United States Democratic Party. She was a member of the United States House of Representatives for Iowa's from January 3, 2019 until January 3, 2021.
In 2015, she became the member of the Iowa House of Representatives from the 99th district.
In the United States House of Representatives' 2018 election, Finkenauer was the Democratic nominee for Iowa's 1st Congressional District. She won the election. She lost her re-election in November 2020 to Republican Ashley Hinson.
Finkenauer was born in Dubuque, Iowa.
Thomas A. Steitz
Thomas Arthur Steitz (August 23, 1940 – October 9, 2018) was an American biochemist. He was born in Milwaukee, Wisconsin. He was a Sterling Professor of Molecular Biophysics and Biochemistry at Yale University. He was also an investigator at the Howard Hughes Medical Institute.
Steitz was best known for his work on the ribosome. For his work, he won the 2009 Nobel Prize in Chemistry along with Venkatraman Ramakrishnan and Ada Yonath.
Steitz died of complications from pancreatic cancer on October 9, 2018 in Branford, Connecticut, aged 78.
Akira Suzuki (chemist)
Carolyn Warner
Carolyn Rexroat Warner (August 2, 1930 – October 9, 2018) was an American Democratic politician. She was born in Ardmore, Oklahoma.
Warner was the 15th Superintendent of Public Instruction for the state of Arizona from 1975 to 1987. Warner was the Democratic nominee for Governor of Arizona in 1986, but lost to then-State Senator Evan Mecham.
Warner also ran for the United States Senate in 1976, but lost the primary, and was elected Democratic National Committeewoman for Arizona in 2004 and 2008.
Warner ran a consulting firm called Corporate Education Consulting after leaving public office.
Warner died of cancer on October 9, 2018 in Phoenix, Arizona at the age of 88.
Wellington, Texas
Wellington is a city and county seat of Collingsworth County, Texas, United States. The population was 2,189 at the 2010 census.
Lillian Gordy Carter
Bessie Lillian Gordy Carter (August 15, 1898 – October 30, 1983) was an American nurse, political activist and humanitarian. She was born in Richland, Georgia. Carter was the mother of former President of the United States, Jimmy Carter.
She was also known for her works to nursing in her home state of Georgia and as a Peace Corps volunteer in India as well as writing two books during the Carter presidency.
Carter died in Americus, Georgia on October 30, 1983 from bone, pancreatic and breast cancer at the age of 85.
Richland, Georgia
Richland is a city in Stewart County, Georgia, United States. The population was 1,794 at the 2000 census.
Americus, Georgia
Americus is a city in Sumter County, Georgia, United States. As of the 2010 census, the city had a population of 17,041. Americus is the home of Habitat for Humanity's international headquarters, a humanitarian house building institute built by Jimmy and Rosalynn Carter. Glover Foods and many more well-known organizations.
The city is the county seat of Sumter County.
DeKalb County, Georgia
DeKalb County ( ) is a county in the U.S. state of Georgia. As of the 2010 census, the population was 691,893, making it Georgia's fourth-most largest county. Its county seat is Decatur. 10% of Atlanta is in DeKalb county.
Milwaukee County, Wisconsin
Milwaukee County is a county in the U.S. state of Wisconsin. As of the 2010 census, the population was 947,735 and was about 951,448 in 2016.
It is the largest county in Wisconsin and the 45th in the United States. Its county seat is Milwaukee, which is also the most populous city in the state. The county was created in 1835.
Waukesha County, Wisconsin
Waukesha County is a county in the U.S. state of Wisconsin. As of the 2010 census, the population was 389,891, making it the third-most largest county in Wisconsin. Its county seat is Waukesha.
Waukesha, Wisconsin
Waukesha () is a city in and the county seat of Waukesha County, Wisconsin, United States with a population of 72,489 in 2017. It is part of the Milwaukee metropolitan area. Its population was 70,718 at the 2010 census. From 1846 to 1847, the city was called Prairieville.
West Bend, Wisconsin
West Bend is a city and the county seat of Washington County, Wisconsin, United States. It is in southeastern Wisconsin. As of the 2010 census, the population was 31,078.
Warner Saunders
Warner Saunders (January 30, 1935 – October 9, 2018) was an American news co-anchor. He worked for WMAQ-TV in Chicago. Saunders' primary co-anchor in the NBC 5 evening newscasts was Allison Rosati. He studied at Northeastern Illinois University. He was born in Chicago. Saunders retired in 2009.
Before being an anchor, Saunders was a teacher. His teaching career includes Chicago Public Schools, National College of Education (now National Louis University), Malcolm X College, Northeastern Illinois University, and Indiana University
Saunders died at a hospital in Lincoln Park, Chicago from a suspected heart attack on October 9, 2018, aged 83.
Pulaski County, Arkansas
Pulaski County is a county in the U.S. state of Arkansas. It has a population of 392,664, making it the most populous county in Arkansas. Its county seat is Little Rock, which is also Arkansas's capital and largest city.
Pulaski County was formed on December 15, 1818. The county is named for Casimir Pulaski, a Polish volunteer who saved George Washington's life during the American Revolutionary War.
Soybean oil
Soybean oil is a type of cooking oil extracted from soybean seeds. It is known that a lot people eat it. It is also been used for oil paints. Due to the oil being unstable, it is prone to oxidation.
Cornucopia
In classical antiquity, the cornucopia (from Latin cornu copiae), also called the horn of plenty, was a symbol of abundance and nourishment, commonly a large horn-shaped container overflowing with produce, flowers or nuts.
Pre-algebra
Pre-algebra is a branch of mathematics which is studied typically in American education usually near middle school. It is studied to prepare students for algebra. Pre-Algebra is used to allow students to understand usage of variables and enhance their ability of understanding, reading and creating graphs. Pre-algebra often still deals with basic math, while adding letters, commonly used are x and y.
Subjects students often learn include: