In the context where it is defined, the derivative of a function is a measure of the rate of change of function values with respect to change in input values. A linear function has a constant rate of change. This rate of change is the slope "m". So "m" is the derivative. This is often written:
Example: "y"= –2"x"+4. Here "m"= –2 and so "y"′= –2.
Often, the terms "linear equation" and "linear function" are confused. Both are polynomials. However, the word "linear" in "linear equation" means that all terms with variables are first degree. (The word "linear" in "linear function" means the graph is a line.) A linear equation can have 1, 2, 3, or more variables. So a linear equation is a linear function only if it has exactly 2 variables. (A linear equation in one variable is a point on the number line and a linear equation in 3 variables is a plane in 3-dimensional space.)
Many countries and disciplines use different letters and ordering for the different forms.
In many countries, a linear functions is often written as formula_9 where "a" is the slope and "b" is the "y"-intercept.
In business and economics, a linear function is often written as formula_10 where "a" is the "y"-intercept and "b" is the slope.
YM (magazine)
YM (or Your Magazine) was an American magazine for teenaged girls. It originally began being published in the 1930s. It was published for 72 years. It was the second-oldest girls' magazine in the United States; the oldest being "Seventeen".
It began as two separate magazines: "Compact" and "Calling All Girls". "Compact" was aimed at older teenagers. It was first published in 1932. "Calling All Girls" was intended for younger girls. It began publication in July 1941 after a teen column in "Parents' Magazine" produced a positive interest from readers. It was the first magazine for girls. Contents consisted of comics, fashion advice, and short stories. It was originally published four times a year, but soon became published every month. This was because it was popular. By 1945 it was selling 500,000 copies of each issue. The average reader was aged 13. The magazine never appealed to older teens or fashion advertisers because of its emphasis on comics.
During the 1960s, the two titles ("Compact" and "Calling All Girls") merged into "Young Miss". The title changed again to "Young & Modern" in the 1980s. It was changed one final time in 2000 to "YM". This was said to stand for "Your Magazine".
"YM" stopped being published in 2004. Subscriptions were replaced with "Teen Vogue".
Bantustan
A Bantustan (also known as a Bantu homeland, black homeland, black state, or simply homeland) was a territory set aside for South Africa's black inhabitants during apartheid. Ten Bantustans were established in South Africa and ten more in South-West Africa (now Namibia), with the goal of creating nation states for the black tribes of Africa. The term "Bantustan" comes from "Bantu" (meaning "people" in the Bantu languages) and "-stan" (meaning "land" in Persian).
The founders of apartheid tried hard to make the Bantustans recognised internationally, but this never happened, and most blacks did not like the Bantustans. They were unpopular because:
The Bantustans were dissolved in 1994 and their territory incorporated into the Republic of South Africa. From 1994, most parts of the country were redivided into new provinces.
Lesotho and Swaziland were not Bantustans, but former British colonies granted independence by Great Britain and internationally recognised.
Four of the South African Bantustans, Transkei, Bophuthatswana, Venda, and Ciskei (also called the "TBVC States") were granted independence from South Africa, but were never internationally recognised. The other six had a high amount of autonomy.
Beginning in 1968, ten Bantustans were established in South-West Africa. Unlike the Bantustans in South Africa, only four Bantustans in South-West Africa were granted autonomy, and none were granted independence. The Bantustans were abolished in May 1989 in the transition to independence.
Coloured
In South African, Namibian, Zambian, Botswanan, and Zimbabwean context, the term Coloured (Kleurlinge in Afrikaans) is used to refer to people of mixed European and Khoisan or Bantu ancestry.
They form the majority of the Northern Cape and Western Cape populations. Most Coloured speak Afrikaans as their first language, although there are some native English speakers. The majority of Coloureds living in Cape Town are able to speak both languages.
Because of South Africa's history of racial discrimination, many feel that the term "coloured" is derogatory. The official term is "Coloured people", but many Coloureds prefer to call themselves "Black", "Khoisan", or just "South African".
During apartheid, people were classified into four groups: White, Black, Coloured, and Asian. The Cape Malays, who are of Asian descent, were not classified as Asians, but as Coloureds.
Although they were discriminated upon by the government, many Coloureds and Asians got to enjoy certain rights during the apartheid era. For example, they did not have to carry around a passbook, had limited political representation, and were considered citizens of South Africa.
Sami Gayle
Sami Gayle (born January 22, 1996) is an American actress. She co-stars as Nicky Reagan in the CBS series "Blue Bloods".
Jan Smuts
Jan Christiaan Smuts, OM, CH, ED, KC, FRS, PC (24 May 1870 – 11 September 1950), was a South African soldier and Prime Minister, from 1919 to 1924 and again from 1939 to 1948.
Jan Smuts was born into a wealthy Afrikaner family living in the British Cape Colony. He first went to school at age 12, going to Victoria College four years later to study science and the arts. He later went to Christ's College in Cambridge to study law.
Smuts was a supporter of Cecil Rhodes until it was revealed that he was apart of the Jameson Raid by a group of Uitlanders ("foreigners" in Afrikaans) in the Transvaal Republic. In 1898, Smuts moved to Johannesburg in the Transvaal to practice law and later became a minister in the Transvaal government until the outbreak of the Anglo-Boer War.
During the Boer War, he led a Boer Commando in the Cape Colony using guerrilla tactics. After the war, Smuts joined the cabinet led by Louis Botha in 1907. However, uneasiness with his Afrikaner comrades cooperating with the British led him to disown the Afrikaners on year later, declaring himself to be South African instead.
Two years after the Union of South Africa was formed, Smuts created the Union Defence Force (UDF). He led the UDF and was instrumental in the conquest of German South-West Africa and German East Africa during World War I. In 1917, Smuts was invited to join the Imperial War Cabinet. In 1918, Smuts helped created the Royal Air Force.
Smuts and Botha were key negotiators at the Paris Peace Conference. After signing the Treaty of Versailles, which gave South Africa control over Namibia, Smuts returned to politics.
When Botha died in 1919, Smuts became Prime Minister, serving until his defeat in 1924 to the National Party.
After serving nine years in opposition, Smuts became Deputy Prime Minister in a coalition government led by Barry Hertzog.
When Hertzog asked for neutrality towards Nazi Germany during World War II, he was deposed and Smuts became Prime Minister again. During World War II, Smuts was invited to the Imperial War Cabinet again, where he worked closely with Winston Churchill. In 28 May 1941, Smuts became a Field Marshal of the British Army, becoming the first South African to hold that rank. This cooperation with Churchill made Smuts very unpopular with the Afrikaners, which led to his downfall.