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Hermann Hankel (14 February 1839 – 29 August 1873) was a German mathematician. Having worked on mathematical analysis during his career, he is best known for introducing the Hankel transform and the Hankel matrix .
Hankel matrices are formed when, given a sequence of output data, a realization of an underlying state-space or hidden Markov model is desired. [3] The singular value decomposition of the Hankel matrix provides a means of computing the A , B , and C matrices which define the state-space realization. [ 4 ]
In control theory, Hankel singular values, named after Hermann Hankel, provide a measure of energy for each state in a system. They are the basis for balanced model reduction, in which high energy states are retained while low energy states are discarded. The reduced model retains the important features of the original model.
Hermann Grassmann was the third of 12 children of Justus Günter Grassmann, an ordained minister who taught mathematics and physics at the Stettin Gymnasium, where Hermann was educated. Grassmann was an undistinguished student until he obtained a high mark on the examinations for admission to Prussian universities.
This is a version of the Hankel contour that consists of just a linear mirror image across the real axis. In mathematics, a Hankel contour is a path in the complex plane which extends from (+∞,δ), around the origin counter clockwise and back to (+∞,−δ), where δ is an
Several stories within the One Thousand and One Nights (Arabian Nights, 8th–10th centuries CE) also feature science fiction elements.One example is "The Adventures of Bulukiya", where the protagonist Bulukiya's quest for the herb of immortality leads him to explore the seas, journey to the Garden of Eden and to Jahannam (Islamic hell), and travel across the cosmos to different worlds much ...
Diaspora is a hard science fiction novel by the Australian writer Greg Egan which first appeared in print in 1997. It originated as the short story "Wang's Carpets" which originally appeared in the Greg Bear-edited anthology New Legends (Legend, London, 1995). The story appears as a chapter of the novel.
Linguistics has an intrinsic connection to science fiction stories given the nature of the genre and its frequent use of alien settings and cultures. As mentioned in Aliens and Linguists: Language Study and Science Fiction [1] by Walter E. Meyers, science fiction is almost always concerned with the idea of communication, [2] such as communication with aliens and machines, or communication ...