social.sokoll.com

A #brachistochrone #curve is the curve of fastest descent between two points not directly below each other -- interestingly not a straight or polygonal line but a cycloid.

#math #physics

The beauty of #math

#Mandelbrot #fractals

Given a curve of a fixed length, how do you maximize the area inside? This is

known as the isoperimetric problem.

The answer is to use a circle. The solution was known long before it was

possible to prove; proving that the circle is optimal is surprisingly

difficult. I won't give a proof here, but I'll give an illustration.

Consider a regular polygons inscribed in a circle. What happens to the ratio

of area to perimeter as the number of sides increases? You might suspect that

the ratio increases with the number of sides, because the polygon is becoming

more like a circle. This turns out to be correct, and it's not that hard to be

precise about what the ratio is as a function of the number of sides.

For a regular polygon inscribed in a circle of radius

and

For a regular

We used the double-angle identity for

sine in the second line above.

As

unit circle to its circumference.

Here's a plot of the ratios as a function of the number of sides.

http://feedproxy.google.com/~r/TheEndeavour/~3/7KhpTEfZD4s/

#johndcook #Math

#Math #Italy @Andrea Borgia @Fernando Santagata

https://twitter.com/Enrico_Evac/status/1260287090824228865

Happy #punday

#math #humor

https://twitter.com/PhilosophyMttrs/status/1236902110438064129

#math

https://twitter.com/ZonePhysics/status/1206574036635070464

I once found a site which was called_Git in layman's terms_ or similar and contained a complicated mathematical description of #git, e.g, that git is some kind of spehere or other multi dimensional #topology

Unfortunately I don't remember the sites address and no longer can find it.

Does anybody know this site?

#math #git #humor #programming #help

#math #science #fun

https://twitter.com/robinhouston/status/1169877007045296128

reshare from @micha@pluspora.comTweet von Steffen Christensen (@Wikisteff) um 26. Aug., 04:48Holy shit.

You can pronounce #hex numbers, people!

#hexadecimal #math

/c @hexadecim8 #Infosec #devops https://t.co/HtDmvXD9Pr

https://twitter.com/Wikisteff/status/1165818361097392128

You can pronounce #hex numbers, people!

#hexadecimal #math

/c @hexadecim8 #Infosec #devops https://t.co/HtDmvXD9Pr

https://twitter.com/Wikisteff/status/1165818361097392128

https://www.quantamagazine.org/mathematician-solves-computer-science-conjecture-in-two-pages-20190725/

#math #science

The “sensitivity” conjecture stumped many top computer scientists, yet the new proof is so simple that one researcher summed it up in a single tweet.

https://twitter.com/kj_cheetham/status/1149966666836656128

#math #joke

This is fascinating. How different pattern are recognizable in leaves

#math #nature #plants #science

Leaves are enjoyed for their shade, autumn colors, or taste, and the arrangement of leaves on a plant is a practical way to identify a species. However, the details of how plants control their leaf arrangement have remained a persistent mystery in botany. A Japanese plant species with a peculiar leaf pattern recently revealed unexpected insight into how almost all plants control their leaf arrangement.

If you need to multiply trillions of numbers

#math #science

To multiply two numbers by hand take a few steps but it's something we're taught in school. When dealing with big numbers, really big numbers, we need to a quicker way to do things.

#plankton #maths #dodecahedron #pentagon #mathematics #geometry #platonic #trapezium #microscopy #electronmicroscope #calcium #algae #cyanobacteria #math

Emma Haruka Iwao calculates the value of pi to 31 trillion digits, after a lifelong fascination.