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Lagrange's discovery implies that the canonical continued fraction expansion of the square root of every non-square integer is periodic and that, if the period is of length p > 1, it contains a palindromic string of length p − 1. In 1813 Gauss derived from complex-valued hypergeometric functions what is now called Gauss's continued fractions ...
Mathematical fiction. Illustration of a simple house in Flatland. Mathematical fiction is a genre of creative fictional work in which mathematics and mathematicians play important roles. The form and the medium of the works are not important. The genre may include poems, short stories, novels or plays; comic books; films, videos, or audios.
In the book Resnick at Large, authors Mike Resnick and Robert J. Sawyer describe recursive science fiction as, "science fiction about science fiction". [1] In the work, The Greenwood Encyclopedia of Science Fiction and Fantasy: Themes, Works, and Wonders, Gary Westfahl comments, "Recursive fantasy fiction – that is, a fantasy about writing fantasy – is scarce;" [2] one potential example of ...
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 ...
Sheidlower is continuing to add additional terms after the initial launch [9] and hopes to include more terms from 21st century science fiction. [5] The general criteria for inclusion of a term is that "a word must either be adopted widely within science fiction or become part of the broader culture". [6]
Dyson sphere. A Dyson sphere is a hypothetical megastructure that encompasses a star and captures a large percentage of its power output. [1][2][3] The concept is a thought experiment that attempts to imagine how a spacefaring civilization would meet its energy requirements once those requirements exceed what can be generated from the home ...
Space travel in science fiction. Space travel, [1]: 69 [2]: 209–210 [3]: 511–512 or space flight[2]: 200–201 [4] (less often, starfaring or star voyaging[2]: 217, 220 ) is a science fiction theme that has captivated the public and is almost archetypal for science fiction. [4] Space travel, interplanetary or interstellar, is usually ...
Many of the most enduring science fiction tropes were established in Golden Age literature. Space opera came to prominence with the works of E. E. "Doc" Smith; Isaac Asimov established the canonical Three Laws of Robotics beginning with the 1941 short story "Runaround"; the same period saw the writing of genre classics such as the Asimov's Foundation and Smith's Lensman series.