In calculus, a function is a map whose action is specified on variables. Take "x" and "y" to be two variables. A function "f" may map "x" to some expression in "x". Assigning gives a relation between "y" and "x". If there is some relation specifying "y" in terms of "x", then y is known as a dependent variable (and "x" is an independent variable).
A dependent variable is also known as a "response variable", "regressand", "measured variable", "responding variable", "explained variable", "outcome variable", "experimental variable", and "output variable".
If the independent variable is referred to as an "explanatory variable" then the term "response variable" is preferred by some authors for the dependent variable.
Hamnet Shakespeare
Hamnet Shakespeare (baptised 2 February 1585 – buried 11 August 1596) was the only son of William Shakespeare and Anne Hathaway. He was the twin brother of Judith Shakespeare. He died at age 11. How he died is not known. There are several ideas about a possible relationship between Hamnet and his father's play "Hamlet". Other ideas state there is a relationship between Hamnet's death and the writing of "King John", "Romeo and Juliet", "Julius Caesar", and "Twelfth Night". These ideas of a relationship became popular as early as the 18th century. They continued into the 1930s. In the 1930s, thinkers who believed in modernism and New Criticism said the relationship did not matter. Modernism and New Criticism thinkers believe that a writer's life does not change his writing. More recently, as New Criticism has become less popular, the ideas about Hamnet and his father's work have been talked about again.
Large Zenith Telescope
The Large Zenith Telescope (LZT) is a 6.0 metre diameter telescope. It is in the University of British Columbia's Malcolm Knapp Research Forest, about east of Vancouver. It is one of the largest telescopes in the world.
A zenith telescope is only able to look straight up. This means that it can use a mirror which is a smoothly spinning pan filled with liquid mercury. The LZT uses 28 litres of mercury, spinning once every 8.5 seconds. This type of mirror can be made much larger and cheaper than a conventional mirror, which means it collects much more light. This light is focused into a CCD to make an image. The LZT is used for "transit imaging". This means that earth's rotation moves stars past the telescope. Images can be taken by moving the sensor electronically in step with this movement.
The telescope was made in 1994 using parts from the three-metre diameter NASA Orbital Debris Observatory telescope, which was retired a couple years earlier after several years of use.
Stéphane Hessel
Stéphane Frédéric Hessel (20 October 1917 - 27 February 2013) was a German-French diplomat and political activist. He was born in Berlin and became a French citizen in 1939. He was active in the Resistance in France during the Second World War. After the war, he was secretary to one of the writers of the United Nation's Universal Declaration of Human Rights and took part in World Conference on Human Rights that adopted Vienna Declaration He also opposed inequality in wealth and war by Israel in Palestine.
First Battle of Maryang San
The Battle of Maryang San is known as Australia's greatest accomplishment in the Korean War. The battle occurred when the US General George Fleet called for forces to capture some positions just prior to the signing of the truce at Panmanjan.
The Commonwealth forces, fighting as part of the United Nations, consisted of a number of British, Australian and New Zealand units. These included three Battalions of the 28th British Commonwealth Brigade, the 1st Battalion The King's Own Scottish Borderers (KOSB), 1st Battalion King's Shropshire Light Infantry (KSLI) and 3rd Battalion, Royal Australian Regiment. Brigadier George Taylor (United Kingdom) was the Brigade Commander. The British Commonwealth Division consisted of the 25th, 28th and 29th Brigades under the command of Lieutenant General James "Gentleman Jim" Cassels (later Field Marshal Sir James) and was part of 1 Corps. These units was arrayed against the Chinese Communist forces. 3 Battalion RAR was commanded by Lieutenant Colonel 'Frank' Francis Hassett. Commonwealth forces main aims were to take a number of hill positions, and taking the main objective, Maryang San.
The first attacks saw the Australian A and B company of 3 RAR take Hill 199, and the 1st Battalion Kings Shropshire Light Infantry take Hill 208. The Kings Own Scottish Borderers (KOSB) had moved to take Hill 399 but were pinned down on its slopes by nightfall. The Australian's attacked at dawn, moving against the Chinese held Hill 200. Chinese infantry were driven from their trenches, and they fled, leaving behind some prisoners of war. The first gun emplacement was taken, and then the second, with the Chinese troops retreating down the slope of Hill 200.
A, B and D Companies attacked the Chinese units, and drew them away from Maryan San, the main objective. Following United Nations forces artillery and mortar fire, Chinese Troops withdrew from Maryan San, and the Australian troops moved to take the position. Australian troops moved against an area that was used by the Chinese for artillery bombardments, known as the Hinge. After taking the Hinge, they were subjected to constant attacks, which eventually became sporadic and died off. At about 8 pm, the Chinese launched an attack in huge numbers. The Australian units were well dug in, using the Chinese own trench positions, and responded to the waves of Chinese troops with machine gun fire. Chinese troops fell in their hundreds. South Korean porters moved forward constantly, bringing supplies and taking away wounded.
By 5 November, after the Australians were withdrawn to recover, Maryang San had been recaptured by the Chinese. It was a terrible blow to morale for those who had fought long and hard to capture it. The tactically important ground of Maryang San remained in the hands of Chinese forces for the rest of the war.
Ferdinand I of Bulgaria
Ferdinand I of Bulgaria (26 February 186110 September 1948) was a Bulgarian monarch, author, botanist, and philatelist.
He was born in Vienna as Ferdinand Maximilan Charles Leopold Marie, Duke of Saxony, later becoming Prince of Saxe-Coburg-Gotha, the son of Augustus of Saxe-Coburg-Kohary (1818–1881) and his wife née Clémentine of Orléans (1817–1907). He was proclaimed prince regnant of Bulgaria on 25 June 1887 (O.S.)/7 July 1887 (N.S.).
On 20 April 1893 at the Villa Pianore in Luccia in Italy, he married Maria Luisa Pia Teresa Anna Ferdinanda Francesca Antonietta Margherita Giuseppina Carolina Bianca Lucia Appollonia, Princess of Bourbon-Parma, daughter of Roberto I of Parma. He was also thought to be bisexual, even after marrying his first wife.
They had four children, Boris III (1894–1943), Kyril (1895–1945), Eudoxia (1898–1985), Nadejda (1899–1958) and Maria Luisa died in 1899. On 28 February 1908 in Coburg Ferdinand married his second wife, Eleonore Caroline Gasparine Louise, Princess Reuss-Köstritz (1860-1917), daughter of Heinrich IV Reuss von Köstritz (1821–1894) and née Luise Caroline Reuss zu Greiz (1822–1875).
Ferdinand became king of Bulgaria after it became independent on 22 September 1908 (O.S.)/5 September 1908 (N.S.). He abdicated on 3 October 1918.
He died in Burglassschloßen in Coburg, and is buried in St. Augustin's Catholic Church.
Fugacity
In thermodynamics, the fugacity is a state function of any isothermal system. The fugacity, which has units of pressure, represents the tendency of a fluid to escape or expand isothermally. For gases at low pressures where the ideal gas law holds, fugacity is equal to pressure. The ratio formula_1 between fugacity formula_2 and pressure formula_3 is called the fugacity coefficient; therefore, formula_4 for an ideal gas.
The fugacity formula_5 is defined at fixed temperature formula_6 by the following differential relation: