Mastodawn

たこたこ Dec 30

兩種成長模式
https://vocus.cc/article/amp/62c8e7d7fd8978000169199c

Two Types of Growth - Scott H Young
https://www.scotthyoung.com/blog/2013/02/05/two-types-of-growth/

#logarithmic #exponential

兩種成長模式｜愛文忙果 - 方格子

兩種成長模式

方格子｜放送你的知識與想像

Video Processing Wiki Nov 22

Event Cameras

Rather then recording an image, event cameras use a logarithmic sensor to detect changes in brightness at each point.

https://en.wikipedia.org/wiki/Event_camera
#eventcamera #logarithmic #LNS

via
https://wiki.pythonlinks.info/event-cameras

novaTopFlex Nov 9

#Mathematics community #rates of #change also of importance in computer science, albeit with different units, graphed:

#Linear, #polynomial, #exponential, #logarithmic

N-gated Hacker News Oct 22

🚨 Breaking News 🚨: The internet's finest minds have gathered to conclude that time perception is... logarithmic? 🧐 Meanwhile, this groundbreaking discovery is protected by an impenetrable fortress called #ModSecurity, which grants you the privilege of knowing you're not allowed to know. 🙃💡
http://www.kafalas.com/Logtime.html #BreakingNews #TimePerception #Logarithmic #Innovation #HackerNews #ngated

Logtime: Logarithmic Time Perception With Aging

Logtime: the hypothesis that our age is our basis for estimating time intervals, resulting in a perceived logarithmic shrinking of our years as we age

Jan

Aug 8, 2025

Aaaaaand people finally learn the difference between #exponential and #logarithmic curves.¯\_(ツ)_/¯

Glad we have that sorted out - I was a bit worried that people wouldn't understand #statistics and the law of large numbers.

Ok, took us just...*check notes* almost 3 years to arrive at that fact.

Can we move on now!?

#Math #LLM #LLMs #GPT5 #Society #AIHype

earthling Jul 31, 2025

Richter scale

Magnitudes are based on a #logarithmic scale, which means every whole number increase on the scale is actually a tenfold increase in magnitude.

#earthquakes
#RichterScale

Show thread

earthling Apr 13, 2025

Logarithmic map of the observable universe.

Larger, more readable format:

Source: https://www.visualcapitalist.com/cp/map-of-the-entire-known-universe/

#cosmos
#universe
#logarithmic

A Logarithmic Map of the Entire Observable Universe

Scientists believe we've only discovered about 5% of the universe. Here's a map of what we've found so far, visualized using a log scale.

Visual Capitalist

Splines Feb 18, 2025

#3StrandBraids

#Braids are the last of the #decorative elements on the #IonicScroll, but like #EggsAndDarts, they are not specific to the #IonicOrder.

Braids are a popular design motif that find wide currency in modern #hairstyle, #fashion, and fashion accessories like #belts and #bracelets.

Braids come in infinite varieties with varying number of strands, thickness of strands, roundness or flatness of strands, and how tightly or loosely they are wound together. Here, I focus on the 3-strand variant mentioned in #Vignola's book and previewed in https://pixelfed.social/p/Splines/792015485979791089. The image here is brightly colored to draw attention to the 3 strands.

The geometry of braid strands is not at all obvious despite how familiar they look. Also, a braid strand is the only feature in the entire iconic order whose geometry cannot be captured with straight lines and circular arcs. Instead, a strand geometry must be defined in a series of steps starting with a basic #sinusoidal curve.

A sinusoidal curve or #sinusoid is a wave form whose function belongs to a family of functions known as #transcendentalFunctions that also include #logarithmic and #exponential functions. I mentioned #logarithmicSpirals in https://pixelfed.social/p/Splines/792499765146596723, and in a future post I will show how to construct one and compare it with the #spiral used in our implementation of #IonicVolute.

They are called transcendental functions because they transcend the math of finite algebraic polynomials and go beyond geometry into trigonometry. Fortunately, we don't have to go there.

Few #CAD tools have a direct primitive for a sinusoid, but almost all have a primitive for a 3-dimensional round coil shape called a #helix which we can use to create the sinusoids we need for a braid strand. To create a sinusoid, all we need to do is #project a helix on a flat surface to convert it into a 2D waveform.

Splines (@[email protected])

The #Capital is the last essential component of the complete #IonicOrder. The column #flutes remain, but they are #decorativeElements, and I will cover them later when I cover the decorative elements of the capital like the #EggsAndDarts motif on the #ovolo and the #3StrandBraid on the ribbon or belt around the middle of the smooth #scrolls. The Ionic capital is complex, but not unapproachable. We will systematically construct everything in this draft rendering using just straight lines and arcs as promised in https://pixelfed.social/p/Splines/789956327130679640, with the exception of the #cymaReversa near the top and the 3-strand braid on the ribbon. In this rendering, the cyma reversa near the top is made using a flattened half-turn of a #helix, but it can also be constructed using elliptical arcs as I described in earlier posts. The braid is a #periodic shape with infinite variety and is also based on a helix. You can vary the number of strands, their thickness, pitch, and so on, none of which are essential to the Ionic Order itself. They're only a jumping point for further exploration. The eggs in the 'eggs and darts' motif can have different shapes. They can be convex like real eggs or concave as shown here, but the top is almost always sliced off. The total depth of the convex or concave shapes can vary, but only within a range of 1 part, or 8 units. The #volutes in the front and back of the capital are based on #spiral shapes, of which there are many different kinds. Some have #continuous curvature changes, while some do it in #discrete steps, like #fibonacci spirals that can approximate #logarithmic spirals seen in nature, e.g., nautilus. When curvature changes are discrete, the spiral arms can diverge in #arithmetic, #geometric, or some other sequence. We will construct all of these, and most notably the smooth, sweeping surface of the scrolls using just straight lines and arcs, and let the #CAD software deal with delicate #NURBS curves and surfaces.

Pixelfed