Amikoj who like maths: I'm trying to find the name of a math operation. Please help if interested!

It's similar to "choose"
4 choose 2 = 6
because there are six ways to choose 2 things from four. Similarly,
5 choose 2 = 10
There are ten ways.

But what if the five things are in a circle and we don't (re)count as new instances the ones that look the same when rotated?
5 ___ 2 = 2 (I'm pretty sure)
The 2 items can be either 1 and 4 apart or 2 and 3 apart.
I'm looking for the underlined operation.

5 ___ 3 = 2
If the items are ABCDE, where E is connected to A, the two configurations are 1. ABC (three together), 2. ABD (two, skip one, one). In the case of 5 items ACD is equivalent to 2 because CDA is two, skip one, one.For my purposes they must be equivalent by rotation only, not by flipping.

6 ___ 3 = 4
ABCDEF has ABC, ABD, ABE, and ACE. All others should be equivalent if I counted correctly.

What is this operation called? 🙏

#maths #math #discretemath #permutation

searching for any structures / theory that involve a particular operation on non-empty lists of postitive integers like "the length of the list multiplied by the least common multiple of all the items in the list"

any ideas? references to any literature would be very appreciated if you know of any.

#askfedi #math #maths #mathematics #combinatorics #GroupTheory #DiscreteMath

Is the following an interesting question? Given a hash function H, do various recurrence relations in H have different distributions?

h_{n+1} = H(h_n)

h_{n+1} = H(h_n ⊕ h_{n-1} ⊕ …)

h_{n+1} = H(h_n + h_{n-1} + …)

Etc.

It seems like any detectable difference would render H unsuitable for certain purposes. #math #discretemath

I'm currently working on my PhD. I'm an IT guy, with focus on data analytics. I just wrote 11 pages on the entanglements between engineering and discrete math...and I think it melted my brain. #PhD #schoolwork #discretemath #sendhelp

it is a bit "old school" but for news in the #orms, #optimization, and #discretemath world, there are mailing lists to follow:

OPTNET https://listserv.zib.de/mailman/listinfo/opt-net

DMANET https://www.zaik.uni-koeln.de/AFS/publications/dmanet/

ORNET https://www.jiscmail.ac.uk/cgi-bin/webadmin?A0=ornet

contains job announcements, conferences, etc.

#introduction of my silly self by
My Current Hashtags Of Interests:
* #math #discreteMath #categoryTheory
* #clavichord #piano #microtonal
* #literatur #poetry #tootfic
* #language #linguistics #日本語 #lojban
* #museums #renaissance #modernArt
* #science
* #transgender #transRights #nonbinary
* #philosophy #buddhism #theravada
* #climateCrisis #climateActivism
#puzzles #vr #quest2 ##österreich #arctic #svalbard

Mathematically, I'm most interested in #NumberTheory (years ago did some research related to #ContinuedFractions). I love the numbers #phi, #pi, and #e, and the various days celebrating them! I enjoy #geometry and #discretemath recreationally too. CS/engineering-wise, I'm most interested in #ai #artificialintelligence and #MachineLearning, #robotics and #automation, #Android #appdev, #cybersecurity, #softwaredevelopment, and more!

Hello!

After a few days figuring out Mastodon with the help of the folks at QOTO, I will formally introduce myself in order to pin this in my profile :)

My name is Abde and I am a computer scientist. My main domain is #NumericalCalculus and #ParallelComputing. I am currently a PhD student at the Université Libre de Bruxelles (#belgium) and working on porting numerical solvers for simulations on the GPU using #CUDA. You may find my first paper here: https://etna.math.kent.edu/vol.55.2022/pp687-705.dir/pp687-705.pdf

Other research interests are #complexity #computability #graphtheory #geometry #discretemath

I also work as a #VirtualReality developer. My current professional interests are #simulations #numericalcalculus #geometry. We also contribute in several #opensource projects. Most of my work is done in #Unity3D, so feel free to ask any questions!

As a hobby I do some #gamedev and also #musicproduction. I will share some snippets of what I do here, but for now I am focusing in crafting my art by producing #housemusic in #bitwig.

Please enjoy! I am not the most active but I am looking to build my Mastodon network, so feel free to follow and I will follow back :)

#introduction #mastodon #newcomer #developer #music #programming

I found a good Discrete Mathematics wiki today via a link from Reddit. Check it out below. #math #maths #discretemath #discretemathematics #discretemaths
https://github.com/jongwoojeff/DiscreteMathematics/wiki

@22@octodon.social

I also want to point out that it is discrete math, not the other things you mention, which is primarily used in computer science, ie, "robotic calculation."

Also, number theory is part of discrete math, so I'm confused about why one would say that " #DiscreteMath includes a ton of things real mathematicians think of as "math" and ignores the things laypeople think of as "math..."" including "number theory."

https://en.wikipedia.org/wiki/Discrete_mathematics

Hi, my name is Esha (pronouned like Kesha without the K), she/her/hers

I'm a #math #gradstudent and love #discretemath and computational stuff.

I'm getting back into #reading and always love #bookrecommendations. Big on #socialjustice and #activism too, particularly integrating social justice into math communities! I like fiber art, especially #embroidery

I guess that's it for my #introduction
Come say hi! :lovelace:

Alright. More confirmation that I'm a total nerd: I took a math exam and ...enjoyed it? 🤓

#nerdalert #discretemath #graphtheory