Question: Extract the answer to the question from the following context. Question: What is another name for the process in which ideas are developed in your brain? Context: Bohr also introduced the quantity , now known as the reduced Planck constant, as the quantum of angular momentum. At first, Bohr thought that this was the angular momentum of each electron in an atom: this proved incorrect and, despite developments by Sommerfeld and others, an accurate description of the electron angular momentum proved beyond the Bohr model. The correct quantization rules for electrons in which the energy reduces to the Bohr model equation in the case of the hydrogen atom were given by Heisenberg's matrix mechanics in 1925 and the Schrodinger wave equation in 1926: the reduced Planck constant remains the fundamental quantum of angular momentum. In modern terms, if J is the total angular momentum of a system with rotational invariance, and Jz the angular momentum measured along any given direction, these quantities can only take on the values
Answer: thought
[Q]: Extract the answer to the question from the following context. Question: What happened in the 92nd year of the 19th century? Context: In 1824, the French physicist Francois Arago formulated the existence of rotating magnetic fields, termed Arago's rotations, which, by manually turning switches on and off, Walter Baily demonstrated in 1879 as in effect the first primitive induction motor. In the 1880s, many inventors were trying to develop workable AC motors because AC's advantages in long-distance high-voltage transmission were counterbalanced by the inability to operate motors on AC. The first alternating-current commutatorless induction motors were independently invented by Galileo Ferraris and Nikola Tesla, a working motor model having been demonstrated by the former in 1885 and by the latter in 1887. In 1888, the Royal Academy of Science of Turin published Ferraris' research detailing the foundations of motor operation while however concluding that "the apparatus based on that principle could not be of any commercial importance as motor." In 1888, Tesla presented his paper A New System for Alternating Current Motors and Transformers to the AIEE that described three patented two-phase four-stator-pole motor types: one with a four-pole rotor forming a non-self-starting reluctance motor, another with a wound rotor forming a self-starting induction motor, and the third a true synchronous motor with separately excited DC supply to rotor winding. One of the patents Tesla filed in 1887, however, also described a shorted-winding-rotor induction motor. George Westinghouse promptly bought Tesla's patents, employed Tesla to develop them, and assigned C. F. Scott to help Tesla, Tesla left for other pursuits in 1889. The constant speed AC induction motor was found not to be suitable for street cars but Westinghouse engineers successfully adapted it to power a mining operation in Telluride, Colorado in 1891. Steadfast in his promotion of three-phase development, Mikhail Dolivo-Dobrovolsky invented the three-phase cage-rotor induction motor in 1889 and the three-limb transformer in 1890. This type of motor is now used for the vast majority of...
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[A]: Westinghouse achieved its first practical induction motor
input: Please answer the following: Extract the answer to the question from the following context. Question: What did Lagrange study? Context: Mathematicians often strive for a complete classification (or list) of a mathematical notion. In the context of finite groups, this aim leads to difficult mathematics. According to Lagrange's theorem, finite groups of order p, a prime number, are necessarily cyclic (abelian) groups Zp. Groups of order p2 can also be shown to be abelian, a statement which does not generalize to order p3, as the non-abelian group D4 of order 8 = 23 above shows. Computer algebra systems can be used to list small groups, but there is no classification of all finite groups.q["] An intermediate step is the classification of finite simple groups.r["] A nontrivial group is called simple if its only normal subgroups are the trivial group and the group itself.s["] The JordanHolder theorem exhibits finite simple groups as the building blocks for all finite groups. Listing all finite simple groups was a major achievement in contemporary group theory. 1998 Fields Medal winner Richard Borcherds succeeded in proving the monstrous moonshine conjectures, a surprising and deep relation between the largest finite simple sporadic groupthe "monster group"and certain modular functions, a piece of classical complex analysis, and string theory, a theory supposed to unify the description of many physical phenomena.
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output: finite groups
input: Please answer the following: Extract the answer to the question from the following context. Question: What early comic creator analyzed the comics he made? Context: European comics studies began with Topffer's theories of his own work in the 1840s, which emphasized panel transitions and the visualverbal combination. No further progress was made until the 1970s. Pierre Fresnault-Deruelle then took a semiotics approach to the study of comics, analyzing textimage relations, page-level image relations, and image discontinuities, or what Scott McCloud later dubbed "closure". In 1987, Henri Vanlier introduced the term multicadre, or "multiframe", to refer to the comics a page as a semantic unit. By the 1990s, theorists such as Benoit Peeters and Thierry Groensteen turned attention to artists' poietic creative choices. Thierry Smolderen and Harry Morgan have held relativistic views of the definition of comics, a medium that has taken various, equally valid forms over its history. Morgan sees comics as a subset of "les litteratures dessinees" (or "drawn literatures"). French theory has come to give special attention to the page, in distinction from American theories such as McCloud's which focus on panel-to-panel transitions. Since the mid-2000s, Neil Cohn has begun analyzing how comics are understood using tools from cognitive science, extending beyond theory by using actual psychological and neuroscience experiments. This work has argued that sequential images and page layouts both use separate rule-bound "grammars" to be understood that extend beyond panel-to-panel transitions and categorical distinctions of types of layouts, and that the brain's comprehension of comics is similar to comprehending other domains, such as language and music.
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output:
Topffer