Diminishing returnsIn economics, diminishing returns are the decrease in marginal (incremental) output of a production process as the amount of a single factor of production is incrementally increased, holding all other factors of production equal (ceteris paribus). The law of diminishing returns (also known as the law of diminishing marginal productivity) states that in productive processes, increasing a factor of production by one unit, while holding all other production factors constant, will at some point return a lower unit of output per incremental unit of input.
Claire WaldoffClaire Waldoff (21 October 1884 – 22 January 1957), born Clara Wortmann, was a German singer. She was a famous kabarett singer and entertainer in Berlin during the 1910s to the 1930s, chiefly known for performing ironic songs in the Berlin dialect and with lesbian undertones and themes. Wortmann was born the eleventh child of sixteen in Gelsenkirchen, Westphalia, where her parents owned a tavern. After completing Gymnasium school in Hanover, she trained as an actress and chose as her pseudonym Claire Waldoff.
Methyl nitrateMethyl nitrate is the methyl ester of nitric acid and has the chemical formula CH3NO3. It is a colourless explosive volatile liquid. It can be produced by the condensation of nitric acid and methanol: CH3OH + HNO3 → CH3NO3 + H2O A newer method uses methyl iodide and silver nitrate: CH3I + AgNO3 → CH3NO3 + AgI Methyl nitrate can be produced on a laboratory or industrial scale either through the distillation of a mixture of methanol and nitric acid, or by the nitration of methanol by a mixture of sulfuric and nitric acids.
SinIn a religious context, 'sin' is a transgression against divine law or a law of God. Each culture has its own interpretation of what it means to commit a sin. While sins are generally considered actions, any thought, word, or act considered immoral, selfish, shameful, harmful, or alienating might be termed "sinful".
4X4X (abbreviation of Explore, Expand, Exploit, Exterminate) is a subgenre of strategy-based computer and board games, and includes both turn-based and real-time strategy titles. The gameplay generally involves building an empire. Emphasis is placed upon economic and technological development, as well as a range of military and non-military routes to supremacy. The earliest 4X games borrowed ideas from board games and 1970s text-based computer games. The first 4X computer games were turn-based, but real-time 4X games are common.
Sine and cosineIn mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse. For an angle , the sine and cosine functions are denoted simply as and .
