#Math Lessons

[mathsprogram]

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[fatherphaniel]

this isn't an indirect to anybody and i don't want to start any fights BUT

if you genuinely think dan is being out of touch/hypocritical/whatever for being politically left wing and also having money/privilege, please read this

this is exactly the same as saying that men can't be feminists, white ppl can't be antiracist etc. just bc you're privileged by a system it doesn't mean you can't criticize it. in fact, you should criticize it, bc 1- ppl in power are more likely to listen to you and actually change something and 2- the more you educate ppl about the problems, the more ppl join the cause

also, when we think about who really benefits from capitalism, it's not ppl like dan and phil. if they stopped working tomorrow, they wouldn't have infinite money that they don't ever have to think about for the rest of their lives. they don't have an amount of money that could solve world hunger, climate change, poverty and every other fucking problem

you know who does? billionaires.

of course having money, even if it's not billions, makes you comfortable under capitalism. but if you have that, you see that other ppl don't, and you wish that everyone had access to what you have, you're gonna criticize capitalism. you're gonna hate billionaires that hoard wealth. you're gonna talk about your left wing politics

the real horror is ppl who don't want to lift a finger to the status quo

[dekariosclan]

Gale Math

So, we all know that in the epilogue, Gale tells Tav:

I love you.

And if you look at the datamined dialog files and read the dev notes, you’ll see this:

Devnote: With the warmth of having said this a thousand times before.

So, taking that statement as a FACT (which, you know, I’m certain it was intended to be…) we now have a solid numerical value to start with: 1000.

Next, we know that per the narrator at the epilogue start, it’s been 6 months since the defeat of the netherbrain; therefore it’s been 6 months since Gale and Tav got engaged/agreed to live together. We’re going to conclude that they have spent every day together since then.

6 months = 182.5 days

Now, assuming that Gale says ‘I love you’ to Tav on a relatively similar schedule each day (ex: when they first wake up, when Gale heads out to Blackstaff Academy, etc. etc.) we can make an equation:

1000 declarations of love divided by 182.5 days = the amount of times Gale tells Tav he loves them every single day.

We solve the equation and get 5.47945205

We round that down, and voila! We now have flawless mathematical proof that

Gale says ‘I love you’ to Tav an average of 5 times every single day

[locusfandomtime]

Doing the maths: Grian's failure at getting a mending book

lots of talk about maths and probabilities below the cut! but there's a graph and simple explanation at the end if you want to get the gist of it and are bad at maths.

(I am still young and learning maths, critique/advice always welcomed)

What are the odds of getting a mending book in Minecraft?

(I am assuming Grian has been doing all his fishing with Luck of the Sea 3)

The probability of a mending book is actually a bit annoying to estimate. The Minecraft Wiki lists fishing up an enchanted book as 1.9% chance. This is for ANY enchanted book. The Minecraft wiki talks about how the chance of an enchantment being selected is calculated. Mending has a weight of 2. Using the table, mending has a probability of 2/135.

However, Grian is looking for any book with mending, not just a pure mending book. Additional enchantments are calculated in a different way, involving RNG, which means it won't be as easy to model. Due to this reason, I'll just be using the odds for a pure mending book throughout.

TLDR: a mending book has a 0.028..% chance (2/135*0.019*100)

Grian's Data

According to this screenshot, Grian has used a fishing rod 5679 times. This number may not be fully accurate, as it includes the times he's fished other players, rather than just fished for items, but it is a good estimate.

To help visualise this data, with a median waiting time between catches of 17.5 seconds, Grian has spent over 20 hours fishing so far! He may have a problem.

Is this statistically significant?

Hypothesis testing (p-value approach):

H0: p = 19/67500 (the null hypothesis - he has no mending books because of chance)

H1: p < 19/67500 (the alternate hypothesis - he has no mending books due to different odds)

5679 trials, 0 mending books

X ~ B(5679, 19/67500) (binomial distribution, 5679 tries with a probability of a mending book being 19/67500, where X is the number of mending books)

p(X=0) (what is the probability the number of mending books being 0)

p = 0.2021473392

Now, the point at which data becomes significant is subjective. For instance, you *could* get a million heads in a row flipping a coin, it's not impossible, but at a certain point, you can begin to say "okay there's something not normal about this". For this approach, the closer the p-value is to 0, the more evidence there is against the null hypothesis . The p-value here is far above a significance level of 0.01, or 0.05, or 0.1. There isn't a clear line between significant/non-significant, but this is answer is quite a bit far from 0

With this, I cannot reject the null hypothesis.

Personal conclusion: this is not statistically significant, Grian is just unlucky.

Are other values statistically significant?

Gem's proposed 9000: results in a p-value of 0.079... more significant than Grian's number but I don't imagine Mojang would be too concerned. As said though, it's all subjective.

I am bad at maths, what does all this mean?

Here is a graph, showing what number of mending books you might have after 5679 tries. The height of the bar represents the probability of getting that amount. The numbers at the top are the (rounded) numbers I used in my calculation

The pink column is 0 mending books - like what Grian has! As you can see, it is less likely than getting 1 or 2 books, but not too uncommon to happen.

End conclusion: Grian has bad luck. Like, not as hilariously bad as he thinks, but still bad. If he keeps going, chances are he will get a mending book, but I think he should probably stop fishing because at this point he has a problem.

[grandapplewit]

Harem AU where Shen Yuan transmigrates into one of Bingge’s wives shortly after he returns from the other world. After a brief (and frantic) realization that’s she’s a woman (and always has been, but we’re not getting into that right now), she delves deep into this harem drama she’s been thrust into. It’s not until she comes face to face with Luo Bingge that she realizes just WHICH harem drama she’s living, and immediately sets about making his life as good as she can manage. Oh, harem infighting is causing strain on his containers? Simply nudge Liu Mingyan and Sha Hualing into working together to manage the harem. The Northern Desert is hinging on disaster because of clerical neglect? One of her harem sisters has a brother who’s in need of a job, no stress. Luo Binghe’s kids are unruly and there’s no clear successor? She has a college degree and a little sister, teaching a dozen or so demonic children is a breeze! All in the name of giving Luo Binghe the time to find a new wife, of course, one who will disperse with the need for this sprawling harem, and once that happens she’s free to travel and document monsters to her hearts content.

[palermok]

hehehehehehe

[humblefryingpan]

"so you think they explored each other's bodies" do you think Ford tried tried the sine rule on Bill

[chickensauras]

Very pragmatic. Excellent problem solving skills

[laz-262]

these two have invaded my brain

[sharky66]

Long lekku for the win!

[mathsprogram]

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[simplydnp]

who's hand is in this picture?

A Mathematically Rigorous Proof That I Spent Too Long Writing

welcome to university math: dnp hand edition

(no, don't leave, you'll be fine i promise)

to begin, we need a statement to prove. we have two options:

- the hand is dan's hand

- the hand is phil's hand

now, for most proofs in university math, you are told a true statement, and you must show why it is true using logic rules, definitions, and theorems. but, we do not know which of these statements are true, so we have to find out.

to prove that a statement is true, we must show that it is always true for the situation presented. to show a statement is false, we must present a single instance where the statement is false (also known as a counter example).

a quick not scary math example:

definition: a prime number is only divisible by 1 and itself.

statement: all prime numbers are odd

(this is false, because 2 is a prime number and it is even. you don't even need to check if there's any others, all you need is one single case where it isn't true to disprove it)

so now that we have a little background on proofs and how to prove and disprove them, we go back to our two statements.

the thing with this situation is, one of them must be true (unless you're gung-ho on someone else holding dan's face while phil takes a picture on his phone of dan in his glasses, in which case, i applaud your commitment, but in actuality this proof will cover that option too)

the full statement we have is: dan is touching his face or phil is touching dan's face

now, because this is Real Life and we have a picture where a hand is touching dan's face, we know already that one of these options is true (as mentioned above) but! using symbolic logic you could also come to this conclusion.

this type of statement is an 'or' statement, and if you're curious, you can look into 'truth-tables' and see why, but at least one of the options must be true.

back to the proof at hand (bah-duhm-tss)

okay. now, proofs also must be 'general' in order to mean anything, really. these are statements of truth of the universe, not just for individuals. so, we will prove this generally.

we have 2 people involved, so individual 1 (dan, the owner of the face and potential face toucher) will be labelled as 'D' , and individual 2 (phil, the possible face toucher who does not own the face) will be labelled as 'P'. thus, this can be true for any such D and any such P.

so with our 'or' statement, in order to prove it, we pick one of the options and say that it is not true, and we have to show then that the other is true.

step 1: let's assume this is not P's hand. (assumption)

step 2: thus, it must be D's hand. (what we take from our assumption)

step 3: now, if it is D's hand, we look at what a hand on one's own face is capable of appearing like. (a definition or true fact about step 2)

the position in the given photo shows the hand with a thumb on the cheek, and a finger on the forehead. so, we find an example of a person with their fingers in the same position (or close to) and see if this supports our claim.

consider:

now, with this image, you can clearly see how the subject's right hand has the thumb on the temple and index finger on the top of their head, however, it is a close enough position for our case.

from the view of the camera, the closest finger to the camera is the edge of the pinkie. in fact, it will always be the closest finger to the camera in this position, assuming the subject has all fingers and no additional appendages.

step 4: we now compare this to our photo (we verify if this holds to our claim or contradicts it)

in our photo, the closest appendage to the camera is the edge of the thumb.

step 5: thus, it cannot be the case that D is touching their own face. (what the evidence says)

step 6: as we assumed it was not P's hand and have shown it cannot be D's hand, and as this is an 'or' statement both of these claims cannot be false, we can therefore conclude it must be P's hand. (our conclusion: re-stating the statement and assumptions and conclusion)

step 7: we verify that P is true (optional step but in beginner proofs you generally show why your case works)

to do this, i will show a picture of a person touching another's face, and compare it to our image.

consider:

now, this image is not exactly the same, similar to above. however, P's left thumb is on the cheek, with their index on D's temple. the closest appendage to the camera (if it were in a similar perspective as our original) would be the edge of the thumb.

comparing it to our original:

our comparison holds.

thus, we can conclude that the true claim in this statement is that P must be touching D's face, which, in particular means that:

phil is touching dan's face in the image

thank you for partaking in phannie mathematics. we now know. i am not sorry.

bonus:

phil has a hitchhikers thumb and dan doesn't so why was this necessary at all 🤡

[okartichoke]

au where godot gets therapy and becomes a math professor after getting out of prison

no cuz i had so much fun with this

he either teaches 13ish year olds Algebra 1 or OR he teaches adults who are learning mathematics later in life! He’s trying to lay off the coffee at his therapist’s insistence. He’s gotten down to only 3 cups on a good day.

Pearl/Maya channels Mia the day before his very first lesson, and he practices the whole lesson plan on her because he’s actually nervous. </3 That’s the last time he’s seen her.

ngl i really love math teacher godot HAHA im genuinely so endeared to this idea???? putting many more hcs in the tags >:3

erm uh yeah but then i doodled squirrel godot and had fun with that too so here’s him HAHA

and yknow what sure here’s some cat lawyers from like 3 weeks ago that i’m never gonna post otherwise. epic post, artichoke, you’ve done it again. 😎😎😎👍👍

[awesomecooperlove]

😢😢😢FUTURE GENIUSES 😢😢😢

👨🏼‍🎓👨🏾‍🚒👮🏻‍♀️

[bananadanshii]

mother.

all layers,, txt is "魔導師" (mage, madoushi in romaji) and "mem aleph", with MOTHER in the middle

without madoushi and mem aleph, and mother in the background:

and speedpaint will be posted soon.. (it took almost an hour to render and save now i have to compress it. 2832 frames.)

[ezralva]

This time Together with Maman as school teachers

Caption "Teachers for subjects you're not good at"

What subjects will they teach?