Hyperbolic function

In mathematics, hyperbolic functions are analogs of the ordinary trigonometric, or circular functions. The basic hyperbolic functions are the hyperbolic sine "sinh" (/ˈsɪntʃ/ or /ˈʃaɪn/), and the hyperbolic cosine "cosh" (/ˈkɒʃ/), from which are derived the hyperbolic tangent "tanh" (/ˈtæntʃ/ or /ˈθæn/),hyperbolic cosecant "csch" or "cosech" (/ˈkoʊʃɛk/ or /ˈkoʊsɛtʃ/), hyperbolic secant "sech" (/ˈʃɛk/ or /ˈsɛtʃ/), and hyperbolic cotangent "coth" (/ˈkoʊθ/ or /ˈkɒθ/), corresponding to the derived trigonometric functions. The inverse hyperbolic functions are the area hyperbolic sine "arsinh" (also called "asinh" or sometimes "arcsinh") and so on.

Just as the points (cos t, sin t) form a circle with a unit radius, the points (cosh t, sinh t) form the right half of the equilateral hyperbola. The hyperbolic functions take a real argument called a hyperbolic angle. The size of a hyperbolic angle is twice the area of its hyperbolic sector. The hyperbolic functions may be defined in terms of the legs of a right triangle covering this sector.

Dark Souls

Dark Souls (ダークソウル, Dāku Sōru) is an action role-playing video game developed by FromSoftware. It was released for PlayStation 3 and Xbox 360, and published by Namco Bandai Games internationally. A spiritual successor to FromSoftware's Demon's Souls and the second installment of the Souls series, Dark Souls began development under the working title of Project Dark. The game was released in Japan on September 22, 2011, and in North America, Australia, and Europe the following month. On August 24, 2012, the "Prepare to Die" edition of Dark Souls was released for PC, featuring additional content previously unavailable to PlayStation 3 and Xbox 360 users. On October 23, 2012, the additional content from the PC version was released as downloadable content for consoles under the title Artorias of the Abyss.Dark Souls takes place in the fictional kingdom of Lordran. Players assume the role of a cursed undead character who has been chosen to make a pilgrimage out of the Undead Asylum to discover the fate of the Undead.

Dark Souls II

Dark Souls II (ダークソウルII, Dāku Sōru Tsū) is an action role-playing video game developed by FromSoftware. The third game in the Souls series, Dark Souls II was released for Microsoft Windows, PlayStation 3, and Xbox 360, and published by Bandai Namco Games internationally.

Dark Souls II was announced at the Spike Video Game Awards on December 7, 2012.Hidetaka Miyazaki, who served as director on the two earlier games in the series, Demon's Souls and Dark Souls, acted as a supervisor, while the game was directed by Tomohiro Shibuya and Yui Tanimura. Although set in the same world, there is no direct story connection between Dark Souls and Dark Souls II. The game uses dedicated multiplayer servers. Taking place in the world of Drangleic, the game features both player versus environment (PvE) and player versus player (PvP) play, in addition to having some co-op components. As in the earlier games in the series, it once again features challenging gameplay, but with a more powerful graphics engine and more advanced AI system.