Gompertz Function
The Gompertz function, created by Benjamin Gompertz, models slow growth with a sigmoid curve. It's used in various fields due to its detailed growth analysis capabilities and versatile formula.
Read original article
The Gompertz function, named after Benjamin Gompertz, is a sigmoid mathematical model describing slow growth at the start and end of a time period. It features a gradual approach to the future value asymptote compared to the lower value asymptote. Originally used for human mortality, it has been adapted for biology, particularly in population studies. Benjamin Gompertz introduced the function in 1825 to simplify life table data into a single function based on exponentially increasing mortality rates with age. The Gompertz curve finds applications in various fields like mobile phone uptake, population dynamics, tumor growth modeling, and disease spread analysis. It is a special case of the generalized logistic function and has properties that allow for detailed analysis of growth patterns. The function's formula and properties, such as the halfway point and maximum rate of increase, make it a versatile tool for modeling growth phenomena accurately.
Related
Implementing General Relativity: What's inside a black hole?
Implementing general relativity for black hole exploration involves coordinate systems, upgrading metrics, calculating tetrads, and parallel transport. Tetrads transform vectors between flat and curved spacetime, crucial for understanding paths.
Flambda2 Ep. 2: Loopifying Tail-Recursive Functions
Flambda2's Episode 2 explores Loopify, an optimization algorithm for tail-recursive functions in OCaml. It transforms recursion into loops, enhancing memory efficiency without compromising functional programming principles.
How does a computer/calculator compute logarithms?
Computers and calculators compute logarithms using geometric series and polynomial equations from calculus. Natural logarithm's relation to $\frac{1}{1+x}$ is explained through curve areas. Polynomial series derived from integrating geometric series compute natural logarithms, but converge quickly only for $|x| < \frac{1}{2}."
Degrowth In Japan: Mending the "metabolic rift" of capitalism
In Japan, Kohei Saito promotes degrowth to address overconsumption and climate crisis, advocating for a shift from GDP to well-being indicators. He warns against relying on GDP-linked technological solutions for sustainability.
Desperately Seeking Squircles
An engineer aims to incorporate Apple's 'squircle' shape into Figma, navigating mathematical complexities with superellipse formulas and Bézier curves. Challenges in mirroring and transitioning the shape prompt a proposed smoothing scheme for versatile designs. Differential geometry aids in mathematically analyzing the squircle's perimeter, showcasing the intricate process of digital design translation.
0 commentsRelated
Implementing General Relativity: What's inside a black hole?
Implementing general relativity for black hole exploration involves coordinate systems, upgrading metrics, calculating tetrads, and parallel transport. Tetrads transform vectors between flat and curved spacetime, crucial for understanding paths.
Flambda2 Ep. 2: Loopifying Tail-Recursive Functions
Flambda2's Episode 2 explores Loopify, an optimization algorithm for tail-recursive functions in OCaml. It transforms recursion into loops, enhancing memory efficiency without compromising functional programming principles.
How does a computer/calculator compute logarithms?
Computers and calculators compute logarithms using geometric series and polynomial equations from calculus. Natural logarithm's relation to $\frac{1}{1+x}$ is explained through curve areas. Polynomial series derived from integrating geometric series compute natural logarithms, but converge quickly only for $|x| < \frac{1}{2}."
Degrowth In Japan: Mending the "metabolic rift" of capitalism
In Japan, Kohei Saito promotes degrowth to address overconsumption and climate crisis, advocating for a shift from GDP to well-being indicators. He warns against relying on GDP-linked technological solutions for sustainability.
Desperately Seeking Squircles
An engineer aims to incorporate Apple's 'squircle' shape into Figma, navigating mathematical complexities with superellipse formulas and Bézier curves. Challenges in mirroring and transitioning the shape prompt a proposed smoothing scheme for versatile designs. Differential geometry aids in mathematically analyzing the squircle's perimeter, showcasing the intricate process of digital design translation.