http://www.bing.com:80/search?q=Hyperbolic+Function+MATLABSearch resultshttp://www.bing.com:80/s/a/rsslogo.gifhttp://www.bing.com:80/search?q=Hyperbolic+Function+MATLABCopyright © 2026 Microsoft. All rights reserved. These XML results may not be used, reproduced or transmitted in any manner or for any purpose other than rendering Bing results within an RSS aggregator for your personal, non-commercial use. Any other use of these results requires express written permission from Microsoft Corporation. By accessing this web page or using these results in any manner whatsoever, you agree to be bound by the foregoing restrictions.https://math.stackexchange.com/questions/5127713/what-is-the-relevance-of-hyperbolic-sine-and-cosine-what-is-so-special-about-hyIs there a geometric transformation or type of "rotation" for which $\cosh$ and $\sinh$ play the same natural role that $\cos$ and $\sin$ play for circular rotation? For example, are hyperbolic trigonometric functions related to rotations in some non-Euclidean geometry or another geometric structure?Thu, 09 Apr 2026 22:05:00 GMThttps://math.stackexchange.com/questions/5128680/a-notion-of-similarity-in-hyperbolic-geometryWe can have noncongruent polygons which are quasisimilar in the hyperbolic plane; for instance, any two equilateral triangles are quasisimilar. I'm curious how much flexibility there actually is in this notion. In particular: Is every triangle quasisimilar to a triangle with area $1$? More generally, I'm interested in any information about this ...Fri, 10 Apr 2026 04:46:00 GMThttps://math.stackexchange.com/questions/93765/what-are-the-interesting-applications-of-hyperbolic-geometryBy contrast, in hyperbolic space, a circle of a fixed radius packs in more surface area than its flat or positively-curved counterpart; you can see this explicitly, for example, by putting a hyperbolic metric on the unit disk or the upper half-plane, where you will compute that a hyperbolic circle has area that grows exponentially with the radius.Thu, 09 Apr 2026 15:17:00 GMThttps://math.stackexchange.com/questions/5040554/what-is-a-hyperplane-in-the-hyperboloid-model-of-hyperbolic-spaceWhile $\mathbb H^n$ is not really an affine space, the general equation for hyperbolic hyperplanes is just a manifestation of this broad correspondence between affine spaces (inhomogeneous) and vector spaces with one more dimension (homogeneous), which also manifests itself in algebra and algebraic geometry as homogenization of polynomials.Thu, 16 Apr 2026 12:24:00 GMThttps://math.stackexchange.com/questions/3999593/unifying-the-connections-between-the-trigonometric-and-hyperbolic-functionsThis can even be used to define the hyperbolic functions geometrically, and many authors do the same with the trigonometric functions. Sine and hyperbolic sine are odd, whereas cosine and hyperbolic cosine are even. But sine and cosine are periodic functions, unlike the hyperbolic counterparts.Sat, 04 Apr 2026 01:47:00 GMThttps://math.stackexchange.com/questions/3650360/why-are-certain-pde-called-elliptic-hyperbolic-or-parabolicWhy are the Partial Differential Equations so named? i.e, elliptical, hyperbolic, and parabolic. I do know the condition at which a general second order partial differential equation becomes these,...Mon, 13 Apr 2026 08:03:00 GMThttps://math.stackexchange.com/questions/2871602/minkowski-plane-vs-hyperbolic-planeIn hyperbolic geometry, through a point exterior to a line there passes more than one parallel line. Now in the rest of this answer, I'll try to make the connection between the hyperbolic spaces (=with constant negative curvature but perfectly positive definite metric) and Minkowski spaces (flat spaces with non positive definite metric).Fri, 10 Apr 2026 15:09:00 GMThttps://math.stackexchange.com/questions/123/real-world-uses-of-hyperbolic-trigonometric-functionsI covered hyperbolic trigonometric functions in a recent maths course. However I was never presented with any reasons as to why (or even if) they are useful. Is there any good examples of their usesThu, 09 Apr 2026 18:16:00 GMThttps://math.stackexchange.com/questions/2668264/is-hyperbolic-rotation-really-a-rotationA hyperbolic rotation is a rotation because of its effect on hyperbolic angles! Like the fact circular angles relate to the area of a (circular) wedge, hyperbolic angle is related to the area of a hyperbolic wedge:Mon, 13 Apr 2026 16:17:00 GMThttps://math.stackexchange.com/questions/2853279/the-interconnection-between-hyperbolic-functions-and-eulers-formulaHyperbolic functions " occur in the solutions of many linear differential equations (for example, the equation defining a catenary), of some cubic equations, in calculations of angles and distances in hyperbolic geometry, and of Laplace's equation in Cartesian coordinates.Tue, 14 Apr 2026 16:59:00 GMT