Proven around the year 1800, the fundamental theorem of algebra establishes a link between algebra and geometry by showing that a monic polynomial in one variable with complex coefficients (an algebraic object) is determined by the set of its roots (a geometric object). Generalizing this result, Hilbert's Nullstellensatz provides a fundamental correspondence between ideals of polynomial rings and algebraic sets. Using the Nullstellensatz and related results, mathematicians have established a strong correspondence between questions on algebraic sets and questions of ring theory. This correspondence is the specifity of algebraic geometry among the other subareas of geometry.
Gastralia
Gastralia are bones protecting the ventral area of a vertebrate. They are found in some living and fossil reptiles. Crocodiles, plesiosaurs, ichthyosaurs, and theropod dinosaurs have gastralia. Unlike ribs, they are not connected to the vertebrae.
Eyes Set to Kill
Eyes Set to Kill is an American post-hardcore band from Phoenix, Arizona.
Sisters Alexia and Anissa Rodriguez started the band with Lindsey Vogt in 2003. In 2005 Caleb Clifton joined the band. In 2006 the band's first extended play was released. It sold 11,000 copies. Vogt left the band in 2007. Alexia took Vogt's place. The band released their first album "Reach" on February 19, 2008.
Bobby Vee
Robert Thomas Velline (April 30, 1943 – October 24, 2016), known as Bobby Vee, was an American pop singer who was a teen idol in the early 1960s. He was born in Fargo, North Dakota. He is better known by his singing name Bobby Vee. He was a hit during the 1950s and 1960s. He wrote many songs. These included "Take Good Care of My Baby" and "Devil or Angel".
Bobby Vee said in 2012 that he has Alzheimer's disease, an illness in the brain that affects older people. On October 24, 2016, Vee died from complications of early onset Alzheimer's disease in Rogers, Minnesota, aged 73.
Bert Gardiner
Wilbert Homer Gardiner (March 25, 1913 – August 28, 2001) was a Canadian professional ice hockey goaltender. Gardiner played 144 games in the National Hockey League (NHL). He played with the Montreal Canadiens, Chicago Black Hawks, Boston Bruins, and New York Rangers.
Before he played in the NHL, he played with the Philadelphia Arrows of the CAHL and the Crescent-Hamilton A.C. of the Eastern Hockey League. He also played with the Philadelphia Ramblers of the CAHL/IAHL, the New Haven Eagles of the IAHL, and the Washington Lions of the AHL.
When Dave Kerr got injured in Game 1 of the 1939 Stanley Cup Finals, the Bruins called up Gardiner from Philadelphia to replace him. Gardiner played in the final six games of the finals.
Gardiner retired from professional ice hockey in 1944. He died on August 28, 2001 in Los Angeles, California.
Chantal Jones
Heather Chantal Jones (born September 8, 1988) is an American model and actress. She appeared on "America's Next Top Model". She is also known for her bubbly personality.
Jones was born in Austin, Texas.
Similarity (geometry)
Similarity is an idea in geometry. It means that two polygons, line segments, or other figures can become the same via resizing. Similar objects do not need to have the same size. Two shapes are similar if their angles have the same measure and their sides are proportional. Two circles, squares, or line segments are always similar. If figure formula_1 is similar to figure formula_2, then we write formula_3.
When it comes to similarity, triangles are special. This is because triangles can be similar if only their angles are equal, or only their sides are proportional. All other polygons must meet both of the conditions.
Similarity is very similar to congruence. Congruent shapes have the same sides and angles. Because of that, two shapes are congruent to each other if one can become another through rotating, reflecting or moving only. In fact, all shapes that are congruent to each other are also similar, but not vice versa.
Idina Menzel
Idina Kim Menzel (born Idina Kim Mentzel; May 30, 1971), is an American actress, songwriter, and singer.
Menzel was born Idina Kim Mentzel in Long Island, New York. She changed her name to make it simpler. Her parents divorced when she was young. As a kid her favorite songs were "Tomorrow" and "The Way We Were".
Menzel went to New York University's Tisch School of the Arts. She was a wedding singer until 1995.
In 1996, Menzel played Maureen Johnson in the Broadway show "Rent". She played that role through 1997. She was nominated for a Tony Award for the show.
In 1998, Menzel released her album, "Still I Can't Be Still". She did a month-long tour to promote it. Eighteen thousand copies were sold. She also played Circe in an episode of "".
In 2000, Menzel played Kate in the off-Broadway show "The Wild Party". She was nominated for a Drama Desk Award and a Drama League Award. In 2001, she played Dorothy in "Summer of '42" off-Broadway and Sheila in "Hair" at New York City Center Encores!
Menzel is known for her role as Elsa the Snow Queen in the 2013 movie "Frozen". She is also known for her role as Elphaba in the original Broadway production of "Wicked", for which she won a Tony Award in 2004. Other notable roles include Maureen Johnson in the original Broadway production of "Rent" and in the movie based on the play, Shelby Cororan in "Glee", and Nancy Tremaine in Disney's "Enchanted".
Menzel appeared in the Broadway show "If/Then". For her role in that show, she was nominated for a Tony Award.
Menzel was born in Queens, New York.
Nick Lachey
Nicholas Scott "Nick" Lachey ( ; born November 9, 1973) is an American singer-songwriter, actor, producer, and television personality. He was best known as the lead singer of the multi-platinum selling boy band 98 Degrees.
Lachey was born in Harlan, Kentucky and was raised in Cincinnati, Ohio. He was married to singer Jessica Simpson from 2002 to 2006. He married model Vanessa Minnillo in 2011. Their son, Camden John Lachey, was born on September 12, 2012.
Lachey and his wife are hosts of the 2020 Netflix reality dating series, "Love Is Blind".
Vanessa Minnillo
Vanessa Joy Lachey (née Minnillo; born November 9, 1980) is an American television personality, fashion model, and actress. She was named Miss Teen USA in 1998. She has also been a correspondent for "Entertainment Tonight" from 2005 to 2007 and hosted "Total Request Live" on MTV.
Minnillo was born in Angeles, Pampanga, Philippines. Her mother is Filipino and her father is an American of Ashkenazi Jews, Irish and Italian ancestry.
She married singer-songwriter Nick Lachey in 2011. Their son, Camden John Lachey, was born on September 12, 2012.
David Brenner
David Brenner (February 4, 1936 – March 15, 2014) was an American comedian, actor, and author. He was known for appearing on "The Tonight Show". He is also known for his leading roles in "Snip" and in "Worth Winning".
Brenner died on March 15, 2014 in New York City, New York from pancreatic cancer, aged 78.
Elias James Corey
Elias James "E.J." Corey (born July 12, 1928) is an American chemist. He won the Nobel Prize in Chemistry for his theory of organic synthesis.
Corey was born in Mathuen, Massachusetts. His parents were Lebanese immigrants. He studied at the University of Illinois at Urbana-Champaign.
Jack Gelineau
John Edward "Jack" Gelineau (November 11, 1924 – November 12, 1998) was a Canadian professional ice hockey goaltender. Gelineau played 147 games in the National Hockey League (NHL). He played with the Boston Bruins and Chicago Black Hawks.
Before he played in the NHL, Gelineau played college hockey for 4 years at McGill University. He has also played for the Quebec Aces of the QSHL and QHL. He won the Calder Memorial Trophy in 1950.
He retired from professional ice hockey in 1954. He died from cancer on November 12, 1998 in Montreal, Quebec.
Hec Highton