libcmb

Free, Open-Source POSIX Combinatorics Library/Utility for Mac OS X, Darwin, Linux, FreeBSD

[libcmb @libcmb]

libcmb-3.5.6 and cmd-3.9.5-rc-2 released:
#libcmb https://t.co/gFAZthtFng
#cmb https://t.co/RwTC9s37Yk

Fixed clang warnings under #CentOS #Linux

Tested on #FreeBSD 9.3-12.0, CentOS 6.10-7.6, Mac OS X 10.6-10.14

[libcmb @libcmb]

@Math_files In my mind, the answer is yes, because when you asked “what comes after 3” my first thought was not “4” but instead “ok, give me the previous numbers in the sequence so that I may derive the formula to predict the next number in the sequence” and failing that, I would presume “3”

[libcmb @libcmb]

Wisdom alone is an insufficient formula for success without also boundaries and self trust

[libcmb @libcmb]

Bob, the guy that made it, says it was pretty challenging and he in no-way told the router to contour it in any specific way but just let the math generate the G code. It came out matching the Wolfram contour renderings exactly. A credit to Bob’s ingenuity!

[libcmb @libcmb]

It has arrived. The contour should look familiar (see profile header)

[libcmb @libcmb]

The libcmb algorithm was carved in wood by a local CNC developer, and it is soon coming off display after 36 months, coming back home to me where I will soon be able to share it here and I am very excited about this

[libcmb @libcmb]

@yisongyue @gautamcgoel Happened to a friend at UCB a little over a week ago. My advice was that there is nothing worse than moving goal posts and that the silver lining is that the stated requirements are a sign they have firmly planted the goal posts, so go get ‘em

[libcmb @libcmb]

A recent e-mail to us thanks libcmb for the ability to fill a massive database quickly with dummy data. Another win for combinatorics

[libcmb @libcmb]

The libcmb algorithm was carved in wood by a local CNC developer, and it is soon coming off display after 36 months, coming back home to me where I will soon be able to share it here and I am very excited about this

[libcmb @libcmb]

@djmansib Straight up

[libcmb @libcmb]

Imagine for a moment a 10-bar linkage with 45 instant centers -- the value is in tracing out a desired moving centrode from mechanical linkage

[libcmb @libcmb]

Did you know that combinatorics appears in mechanical engineering? If you have ever designed a machine linkage system, you have unknowingly used combinatorics https://t.co/DSdGym6KdQ

[libcmb @libcmb]

The scale at which instant centers grows based as a multiple of linkage bars is linear:
2 bars = 2 * 0.5 = 1 instant center
3 bars = 3 * 1 = 3 centers
4 bars = 4 * 1.5 = 6
5 bars = 5 * 2 = 10
6 bars = 6 * 2.5 = 15
7 = 7 * 3 = 21
8 … * 3.5 = 28
9 * 4
10 * 4.5
11 * 5
…

[Algebra Etc. @AlgebraFact]

Evaluating the "power tower" and a connection to W.
https://t.co/TqhUEWJ4OW

[libcmb @libcmb]

libcmb has been picked up by OpenBSD and Arch Linux, with FreeBSD around the corner -- looking for more Operating System vendors to port to

[Computer Science @CompSciFact]

RSA algorithm in a poem, by Daniel G. Treat.

Take two large prime numbers, q and p.
Find the product n, and the totient ϕ .
If e and ϕ have GCD one
and d is e's inverse, then you're done!
For sending m raised to the e
reduced mod n gives secre-c.

[Chia Network @chia_project]

Chia Network Announces Proof of Space Competition with $100k in Total Prize Money. Apply here. https://t.co/WuOVhV9lwC #cryptocurrency #consensus

[libcmb @libcmb]

Only if you add another fruit, say 🍉, to ask the question 🍎/( 🍌 + 🍍 + 🍉) + 🍌/( 🍎 + 🍍 + 🍉) + 🍍/( 🍎 + 🍌 + 🍉) + 🍉/( 🍎 + 🍌 + 🍍) = 4 do some solutions exist due to the combinatorics nature of the arithmetic at-play

[libcmb @libcmb]

You might not realize it at first, but the “Apple, Banana, Pineapple math problem” is actually a combinatorics study in disguise. Using libcmb, one can prove the relationship between the coefficients and declare that for even counts of set items, there are zero realm solutions!

[libcmb @libcmb]

cmb -k3 $( seq 1 1024) | awk '{printf "%s = %.20f\n", $0, $1/($2+$3) + $2/($1+$3) + $3/($1+$2)}' | awk '$NF>3.99999&&$NF<4.00001' # No exact match to 4.0 exists no matter how big you make the upper bound or if you enable repetition