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1 day ago · Cosine power-reduction formula: an illustrative diagram. The red, orange and blue triangles are all similar, and the red and orange triangles are congruent. The hypotenuse A D ¯ {\displaystyle {\overline {AD}}} of the blue triangle has length 2 cos θ {\displaystyle 2\cos \theta } .
1 day ago · The quaternion is called the vector part (sometimes imaginary part) of q, and a is the scalar part (sometimes real part) of q. A quaternion that equals its real part (that is, its vector part is zero) is called a scalar or real quaternion, and is identified with the corresponding real number.
1 day ago · His mathematics teacher described him as a "monster of mathematics" and he won first prizes in the concours général, a competition between the top pupils from all the Lycées across France. His poorest subjects were music and physical education, where he was described as "average at best". [13]
1 day ago · STV ballot papers from the 2011 Irish general election. The single transferable vote ( STV ), sometimes mistakenly conflated with proportional ranked choice voting ( P-RCV ), [a] is a multi-winner electoral system in which each voter casts a single vote in the form of a ranked-choice ballot. Voters have the option to rank candidates, and their ...
1 day ago · Chaos theory is an interdisciplinary area of scientific study and branch of mathematics. It focuses on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to initial conditions. These were once thought to have completely random states of disorder and irregularities. [1]
1 day ago · Shanghai Public Transport Card. The Shanghai maglev train (SMT) or Shanghai Transrapid ( Chinese: 上海磁浮示范运营线; pinyin: Shànghǎi Cífú Shìfàn Yùnyíng Xiàn; lit. 'Shanghai Maglev Demonstration Operation Line') is a magnetic levitation train (maglev) line that operates in Shanghai, China. The line uses the German Transrapid ...
