Margaret-Ann Armour (September 6, 1939 – May 25, 2019) was a Scottish-born Canadian chemist. She is best known for her work in creating guidelines for hazardous lab waste disposal. She was also a voice for women in science. She founded the Women in Scholarship, Engineering, Science and Technology (WISEST) program. She was a professor at the University of Alberta. She was named a member of the Order of Canada in 2006, and a Canada 150 ambassador in 2017. She was born in Glasgow.
Armour died on May 25, 2019, at the age of 79.
Tsilkani
Tsilkani () is a big village in Mtskheta, Georgia. There is public school in the village.
Alan Murray (golfer)
Alan Albert Murray (17 June 1940 – 24 May 2019) was an Australian professional golfer. He was born in Sydney, New South Wales. He played golf around the world and won 76 tournaments. Notable wins by Murray include the 1962 French Open, the 1961 Australian PGA Championship and the 1967 Australian Wills Masters. He was the 1961 Australian PGA Order of Merit winner. He finished tied for 19th in the 1964 Open Championship. He represented Australia at the 1967 World Cup in Mexico City.
Murray died of skin cancer in Perth, Western Australia on 24 May 2019. He was 78.
Gianfranco Bozzao
Gianfranco Bozzao (3 August 1936 – 24 May 2019) was an Italian footballer. He played as a defender.
Bozzoa was born in Venice. He played for Fiorentina, Salernitana, Arezzo, SPAL, Juventus and Piacenza during the 1950s and 1960s. He died in Ferrara in 2019, at the age of 82.
Harry Hood (footballer)
Henry Anthony Hood (3 October 1944 – 26 May 2019) was a Scottish football player and manager. He played as a forward.
Hood was born in Glasgow. During the 1960s and 1970s, he played for Clyde, Celtic, Motherwell
and Queen of the South in Scotland, Sunderland in England and San Antonio Thunder
in the United States. He won over ten domestic honours with Celtic. He later managed Albion Rovers and Queen of the South during the early 1980s.
Hood died on 26 May 2019, at the age of 74.
Thembinkosi Mbamba
Thembinkosi Khumo Mbamba (9 September 1995 – 25 May 2019) was a South African professional footballer. He played as a forward.
Mbamba played for TS Galaxy of the National First Division. He won the 2018–19 Nedbank Cup with TS Galaxy on 18 May 2019. On 25 May 2019, a week after winning the final, he died in a car accident in Duduza, Gauteng.
American Bar Association
The American Bar Association (ABA), founded August 21, 1878, is a federal American association for lawyers who practice law in the United States. It is also the accrediting body for all law schools in the United States. It is headquartered in Chicago, Illinois.
Bill Buckner
William Joseph Buckner (December 14, 1949 – May 27, 2019) was an American professional baseball player. He played as a first baseman in Major League Baseball (MLB) between 1969 and 1990. During his career, he played for the Los Angeles Dodgers, Chicago Cubs, Boston Red Sox, California Angels and Kansas City Royals. He won a batting title in 1980. He also represented the Cubs at the All-Star Game in 1981.
Buckner famously made an error fielding a ground ball in the tenth inning when playing for the the Red Sox that ended Game 6 of the 1986 World Series against the New York Mets. The moment has since become a very famous event in baseball history.
Buckner was born in Vallejo, California. He was married to Jody and had three children.
Buckner died of Lewy body dementia on May 27, 2019 in Boise, Idaho. He was 69.
Gangkhar Puensum
Gangkhar Puensum is a mountain in the Himalayas range, in Bhutan and Tibet. It is the 40th highest mountain in the world. It is also known as Kangkar Pünzum. The name means "White Peak of the Three Spiritual Brothers". No one has ever made it to the top of Gangkhar Puensum. It is the highest mountain in the world that has never been climbed.
Details about the mountain have not always been correct. It was first measured in 1922, but not all maps showed the same height. There was also confusion on the location of the mountain. Some maps showed it in different places than others. Due to this confusion, the first team to try to climb it wasn’t even able to find it at all. The present listed height and location are from China, as Bhutan has not surveyed the mountain.
A few people have tried to climb the mountain in the past, but none succeeded. In 1994, Bhutan made a law that no one could climb above . Then in 2003, they banned all climbing. As long as the ban is in place, it is unlikely that anyone will reach the top from the Bhutan side. While it may be possible to start the climb in Tibet, China has not allowed it. Tibet is an autonomous region of the People's Republic of China (PRC). This is a political decision due to issues in the border region between China and Bhutan. There is a border dispute between the two countries.
Gabriel Diniz
José Gabriel de Souza Diniz (18 October 1990 – 27 May 2019), better known as Gabriel Diniz, was a Brazilian singer and guitarist. He became known nationally in Brazil following his hit single "Jenifer", released in 2018. He released three studio albums, the first coming in 2016. He worked with Wesley Safadão on the 2017 single "Acabou Acabou". He was born in Campo Grande, Mato Grosso do Sul.
On 27 May 2019, Diniz was killed in a plane crash in Estância, Sergipe.
Contour integral
In complex analysis, contour integration is a way to calculate an integral around a contour on the complex plane. In other words, it is a way of integrating along the complex plane.
More specifically, given a complex-valued function formula_1 and a contour formula_2, the contour integral of formula_1 along formula_2 is written as formula_5 or formula_6.
For a standard contour integral, we can evaluate it by using the residue theorem. This theorem states that
formula_7
where formula_8 is the residue of the function formula_9, formula_2 is the contour located on the complex plane. Here, formula_9 is the integrand of the function, or part of the integral to be integrated.
The following examples illustrate how contour integrals can be calculated using the residue theorem.
To solve multivariable contour integrals (contour integrals on functions of several variables), such as surface integrals, complex volume integrals and higher order integrals, we must use the divergence theorem. For right now, let formula_14 be interchangeable with formula_15. These will both serve as the divergence of the vector field written as formula_16. This theorem states that:
formula_17
In addition, we also need to evaluate formula_18, where formula_19 is an alternate notation of formula_20. The divergence of any dimension can be described as
The following examples illustrate the use of divergence theorem in the calculation of multivariate contour integrals.
Let the vector field formula_22 be bounded by the following conditions
The corresponding double contour integral would be set up as such:
We now evaluate formula_24 by setting up the corresponding triple integral:
From this, we can now evaluate the integral as follows:
formula_26
Given the vector field formula_27 and formula_28 being the fourth dimension. Let this vector field be bounded by the following:
To evaluate this, we use the divergence theorem as stated before, and evaluate formula_24 afterwards. Let formula_31, then:
From this, we now can evaluate the integral:
Thus, we can evaluate a contour integral of the fourth dimension.
Eric Harris and Dylan Klebold