#multinomial

[countingonaverymerrychristmas]

I don't choose my names, my names choose me

[beanthebugboi]

I don't have a deadname. I have a chosen name that I generally prefer to use, and a birthname that I'm still pretty attached to- even though it's not my favorite, I still consider it one of my names.

HOWEVER.

When I email someone and I LITERALLY SIGN OFF WITH "Sincerely, [chosen name]", and their response starts with "Hi [birthname]", (because that name is still associated with my email) I want to scream.

[your-bigender-big-brother]

Hey, let's talk about names!

Do you use multiple names? Share some of your favorites in the replies!

Also, don't forget to check out @gender-buddies if you want to see gender labels turned into elemental critters. I'm drawing 120 in total (plus bonus ones) and I have 108 done so far. You'll love it! - Your Bigender Big Brother 💙💚

[superhumanoid-ai]

Multinomial coefficients and Pascal's Simplex

For binomials [ (a+b)ⁿ ] the use of Pascal's triangle is helpful. In Pascal's triangle each single row in the triangle defines the coefficients of binomials of each n-value.

For trinomials [ (a+b+c)ⁿ ] this pattern can be extended to a 3-dimensional Pascal's tetrehedron, where each level (and hence a complete triangle) in that tetrehedron defines the coefficients of trinomials of each value of n.

As for quadrinomials [ (a+b+c+d)ⁿ ] the coefficients require an own tetrahedron for each value of n.

[onomatopomnia]

Do any other name hoarders ascribe like whole aesthetics and vibes to their names? Like I don't even look like my pfp it's just the vibes one of my name's gives off

[your-bigender-big-brother]

I think having multiple names is really cool! I wish I could settle on a few names to use regularly, but there are too many names I really like and I'm always afraid of confusing people!

But I do use multiple names wherever I can: One name for this blog, one for my personal side blog, and one in person. Maybe someday I'll take on a second name to use in person based on how my gender might feel that day. Who knows!

Keep using multiple names. Keep hoarding names. Names are really useful and personal, and it always feels good when we get to hear our chosen names being used. - Your Bigender Big Brother 💙💚

[bookpiofficial]

Recursive Computation of Binomial and Multinomial Coefficients and Probabilities | Chapter 07 | Advances in Mathematics and Computer Science Vol. 1

This chapter studies a prominent class of recursively-defined combinatorial functions, namely, the binomial and multinomial coefficients and probabilities. The chapter reviews the basic notions and mathematical definitions of these four functions. Subsequently, it characterizes each of these functions via a recursive relation that is valid over a certain two-dimensional or multi-dimensional region and is supplemented with certain boundary conditions. Visual interpretations of these characterizations are given in terms of regular acyclic signal flow graphs. The graph for the binomial coefficients resembles a Pascal Triangle, while that for trinomial or multinomial coefficients looks like a Pascal Pyramid, Tetrahedron, or Hyper-Pyramid. Each of the four functions is computed using both its conventional and recursive definitions. Moreover, the recursive structures of the binomial coefficient and the corresponding probability are utilized in an iterative scheme, which is substantially more efficient than the conventional or recursive evaluation. Analogous iterative evaluations of the multinomial coefficient and probability can be constructed similarly. Applications to the reliability evaluation for two-valued and multi-valued k-out-of-n systems are also pointed out.  

Author  Details:

Ali Muhammad Ali Rushdi

Department of Electrical and Computer Engineering, King Abdulaziz University, P.O.Box 80204, Jeddah, 21589, Kingdom of Saudi Arabia.

Mohamed Abdul Rahman Al-Amoudi

Department of Electrical and Computer Engineering, King Abdulaziz University, P.O.Box 80204, Jeddah, 21589, Kingdom of Saudi Arabia.

Read full article: http://bp.bookpi.org/index.php/bpi/catalog/view/46/226/386-1

View Volume: https://doi.org/10.9734/bpi/amacs/v1

[jacob-cs]

original source : http://onlinestatbook.com/2/probability/multinomial.html