Hyperbolic growth, deriving from hyperbolic functions
2014年5月14日 · When a quantity grows towards infinity in a finite-time, it is said to undergo hyperbolic growth. An example being a quantity that every time it doubles, the growth rate …
What is the volume of the sphere in hyperbolic space?
2015年9月21日 · Considering the analogy between formula for area of circle and for surface of sphere, the hyperbolic formulas should be $2\pi(\cosh(2r) - 1)$ for surface and $2\pi(\sinh(2r)/2 …
Growth of balls vs growth of spheres in hyperbolic groups
2022年2月16日 · Tour Start here for a quick overview of the site
Does a group with exponential growth always have a hyperbolic …
2019年11月23日 · When the group has a hyperbolic subgroup, by Tits' Alternative theorem, the subgroup if doesn't contain degree 2 free group then it is virtually solvable. Exponential growth …
What's the relationship between hyperbola, hyperbolic functions …
2016年2月2日 · The hyperbolic functions can be expressed using the exponential function. However how are these related to ...
Recovering hyperbolic trigonometry from SL (2,R)
2024年12月29日 · Hyperbolic growth, deriving from hyperbolic functions. 3. Difference between hyperbolic sector, hyperbolic ...
Growth of distance between divergent hyperbolic lines is at least ...
2024年5月11日 · Growth of distance between divergent hyperbolic lines is at least linear in the arc-length parameter ...
mathematical modeling - Classifying growth as percent increase ...
So far I have tried finding the percent growth of sequences of the following other functions as well: Root functions, Logistic functions, hyperbolic functions, factorials, super-exponential functions, …
exponential function - What is a slower decay rate than hyperbolic ...
2021年1月24日 · Hyperbolic decay $$f_\alpha(x)=\frac{1}{\alpha x + 1} $$ is slower than exponential decay $$f(x) = e^{-x}$$ where $\alpha > 0$ is a scaling factor.
Hyperbolic curve and hyperbola? - Mathematics Stack Exchange
2020年5月7日 · Hyperbolic growth, deriving from hyperbolic functions. 8. Visual understanding for "the genus" of a plane ...