#binomial

[juniper-666]

Binomi

I will keep making more halloween entries HAHAHAHAHAHAHAHA-

[blake447]

So here's an interesting fact I've learned while researching these things called Wolstenholme Primes. See they're related to the binomial coefficient and thus pascals triangle. We've probably all seen sierpinski's triangle in here (if not circle all the odd numbers). But here's something else interesting. If you look at the triangle, you'll see that for prime numbers, every element is divisible by that prime number. Look at 11 for example.

55, 165, 330, and 462 are all divisible by 11. This has to do with the binomial coefficient definition, in which you'll see that if unless we choose either all the elements, or none of them, the factor of our prime number is guaranteed not to cancel out from the numerator's factorial.

We can then use the fact that the sum of all the elements in the nth row of pascal's triangle adds up to 2^n. Once we remove the 1's on each end of the triangle (hence the minus 2) we know that for prime numbers p that all elements are divisible by p, their sum is as well!

Now, I don't know off the top my head if this is only true for prime numbers. It isn't immediately obvious imo. However, if this is strong enough to be an if and only if, then I think I have independently discovered perhaps the *worst* way to test for primality lmao, scaling exponentially instead of the standard logarithmically.

[sbubbey]

hello maretu fans

[arborholic]

I often get asked why I "say the scientific name" after I identify a tree. It's because all plants have only one binomial name and that binomial applies to only one species. Here I have a small tree/large shrub that I call "deciduous holly" but folks here call "possum haw". I think the local common name is ugly and unfair for such a gorgeous creature. But also, possumhaw is used for other plants in other parts of the country. Deciduous holly is slightly prettier sounding, but it also is not unique to this species.

The binomial, however, is pretty sounding AND unique (and descriptive) - Ilex decidua. Ilex says it's a holly and decidua says it's deciduous.

[yoursecrettutor]

Hey! Folks!

In this video I have explained how to find out expected value (mean) and variance of a binomial distribution with the help of Moment Generating function. Hope you love it. Thanks in advance and don't forget to give a subscribe please.

[crypto-telegraph-news]

Ripple v. SEC Case – Key News for Oct. 11 A news which saw Judge Torres' court rule in favor of Ripple in the lawsuit Ripple v. SEC was that the company cross-appealed.......

[sleeper354]

I was going to just make this a comment, but I like explaining math and apparently the explanation would be too long for a comment!

So for all problems of this category, that is to say (a + b)^2 they will always follow the final form after expanding to be a^2 + 2ab + b^2.

This is because it is handled as follows: 1) We expand the exponent (the raised or superscripted 2) to make the equation into the form (in your case): (x/2 - 6) * (x/2 - 6) 2) From here we apply what I was always told was FOIL (which stands for First Outer Inner Last), meaning we will multiply the first two terms, then the outer two terms, the inner two terms, and finally the last two terms. For the purposes of your question here First terms are x/2 and x/2 Outer terms are x/2 and -6 Inner terms are -6 and x/2 Last terms are -6 and -6 3) Now we do the multiplications. For this, we are going to just do the multiplications and not worry about simplification yet, this helps with visualizing the steps: First terms multiplied together become: (x^2)/4 Outer terms multiplied together become: -6x/2 Inner terms multiplied together become: -6x/2 Last terms multiplied together become: 36 We can then put these terms together to have our intermediate equation of: (x^2)/4 - 6x/2 - 6x/2 + 36 4) Finally, we will simplify the equation. First we can reduce the outer and inner products from -6x/2 to -3x. Then we will collect those terms together, which will give us a final form of the equation which is: (x^2)/4 - 6x + 36 Which as others have already indicated/explained is the second option of the multiple choice here. This is process will also work for non-squared binomials, so for example you could use this same process for expanding and simplifying the equation (x+2)(x-13) in just the same way. We then can even apply this same process to large polynomials, even if they are different sizes, like (x+2)(x^2 - 2x + 3) which you can then use a similar method of FOIL to multiply together all of the terms. And since we've now demonstrated the way this works in expanding and simplifying, it also means we can take something like an already expanded and simplified polynomial and factor it backwards to it's original equation. Math is fun. It's like a puzzle game when it's in it's pure form. When you apply it, it then lets you do cool things like engineering.

please

how the fuck do i do this

[fawfulydoo]

🛎️🛎️🛎️ 喰らう喰らう喰らう感動

[pls dont tag as ship despite the nature of the song 😭🙏i just like making him a little fucked up and ooc as a treat]

[hackonmath]

Multiplying Binomials - Distributive Method

[hbmmaster]

in zoology, animal species are given standard "latin" names consisting of two words, the genus name and the species name. typically, the genus name is a noun, and the species name is an adjective. following the rules of latin grammar, adjectives need to agree with nouns with grammatical gender, so if the genus name is a feminine latin noun then all species of that genus are given (in principle) adjectives marked with feminine latin suffixes.

in practice of course, new genus names don't always use actual latin words, so these latin grammatical gender rules need to be grafted onto words that aren't really latin. and this is where one of the weirdest conventions of zoological binomial nomenclature comes in!

how exactly do you determine what the latin grammatical gender of a word is if it isn't a latin word? according to the ICZN, it's simple:

if the word is from greek, use its gender in greek

otherwise, if the word is from a modern european language with grammatical gender that uses the latin alphabet, use the gender in the source language (yes it is that specific)

otherwise, if the name ends with -a it's feminine

otherwise, if the name ends with -um, -u, or -o it's neuter

otherwise, it's masculine

unless of course if the zoologist with naming dibs says explicitly that they think this genus should have an irregular gender.

anyway these rules are fascinating to me. why are they this specific? grammatical gender systems compatible with latin's adjective suffixes are found throughout the entire indo-european language family, so why restrict it to modern european latin-script languages (and greek)? I don't know!

[probablyasocialecologist]

Ignatio Chapela, a forest pathologist at the University of California, Berkeley, was even more adamant that the idea of “species” limits the stories we can tell about kinds. “This binomial system of naming things is kind of quaint, but it is a complete artifact,” he told me. “You define things with two words and they become an archetypal species. In fungi, we have no idea what a species is. No idea. . . . A species is a group of organisms that potentially can exchange genetic material, have sex. That applies to organisms that reproduce sexually. So already in plants, where out of a clone you can have change as time goes by, you have problems with species. . . . You move out of vertebrates to the cnidarians, corals, and worms, and the exchange of DNA, and the way groups are made, are very different from us. . . . You go to fungi or bacteria, and the systems are completely different—completely crazy by our standards. A long-lived clone can all of a sudden go sexual: you can have hybridization in which whole big chunks of chromosomes are brought in; you have polyploidization or duplication of chromosomes, where a completely new thing comes out; you have symbiotization, the capture of, say, a bacterium that allows you to either use the whole bacterium as part of yourself or use parts of that bacterium’s DNA for your own genome. You’ve become something entirely different. Where do you break down the species?”

Anna Lowenhaupt Tsing, The Mushroom at the End of the World: On the Possibility of Life in Capitalist Ruins

[kiwibongos]

honestly i definitely think it wasn't *just* teruteru who dabbled in tasting human flesh while in despair and i dont see anyone talking about that

like i really think akane, gundham, mikan and perhaps ibuki, definitely got into that stuff

[gnarpys-graphics]

Random Blinkies

Just messing around with blinkies.cafe. All of these are references to something

[ephemeralhatred]

[triglycercule]

horror being very specific with table manners and he berates people (dust and killer) for eating like fucking pigs

i think it'd be morbidly funny that because there was no food in horrortale but the cutlery and stuff was all there that maybe he would pretend to eat with no food on the plate. it was in a satirical way that he would joke maybe around horror paps or alone where he would pretend to eat and have really good table manners but then the satire joke became REAL and now horror is incredibly specific about how to eat food

you MUST hold the fork in the left and knife in right says horror. no killer you can't duel wield the fucking knives this is a table not a slaughterhouse. dust pick up your elbows off the table. actually how about you get your entire upper body off the table tf why are you SLEEPING ON THE FOOD??? killer's sitting fetal position in the chair because of course he wouldn't sit normally like the idiot he is. dust is forced to put his hood down and reveal his face no more mysterious shadow style because it puts horror at ease. they cannot have a single peaceful meal because once they get past the table manners phase it then becomes a completion to see who can eat the least (because they suck at everything including eating)