#why is maths?

[mappinglasirena]

The Stairs Under the Bridge

If you've been following my blog for a while, you know that one of the many mysteries/points of discussion that come up repeatedly is: what is happening in the space under La Sirena's bridge? There's a door leading there from the mess hall and we see Picard walk through it in S01E06, "The Impossible Box", but we never find out what that space is being used as.

(At least, we don't know what its in-universe use is. We know from set plans that in the studio, the space apparently held the playback setup.)

We got a glimpse of a cross-section of the ship in the Blu-ray set tour, which has some impossible geometry happening under the bridge...

(That is not a proper floor and something is definitely clipping through it!)

... and if you remember my post from a while back, I speculated that the most likely explanation is that the model has an extendable ladder there, that would allow people to board/leave the ship by a means other than the loading ramp. This would fit with the early idea of the season 1 writers to have Picard board La Sirena in a space port, rather than beam him on board while she's in orbit.

Well, a couple of weeks ago, we got confirmation that this is indeed what the production team originally intended.

Dave Blass, the production designer for PIC Seasons 2 and 3, tweetet some images showcasing a cross-section of the Sirena set/model:

As you can imagine, this gave me enormous joy (and a not too small amount of glee)! I have long insisted that the panorama windows, i.e. the exit the Motley Crew use to get off the ship once she crash-lands on Coppelius, don't really work as a proper access point to the ship. There is a three foot drop right inside the window the crew needs to bridge, no proper hatch, no ladders, etc. The only reason it makes for such a convenient exit is that Sirena is buried in a few metres of dirt, bringing the window level with the ground.

And indeed, La Sirena has, or at least was originally intended to have, a proper access to the front of the ship, one with a ladder and hatch and everything! And it's located in the mysterious space under the bridge!

But, me being me, this schematic also immediately raised a question: Isn't that ladder a bit too short?

If you remember this post, it seems like one of the changes made during Sirena's design process was that the wings were dropped quite a significant amount. Where the early concept art has the ship sitting fairly low to the ground, she is raised much higher when she reaches her final form.

Essentially, we went from a configuration that might have looked something like the version on the top to the actual model on the bottom:

This change increased the ship's clearance significantly.

For the non-imperial-measuring among us, the height of the ladder given in the schematic shared by Blass, 14' 10 1/2", translates to about 4.8m. However, when you line up the orthogonal view of the ship with the cross section, the length of the ladder is not really enough to reach the ground once the ship has landed.

(The green line indicates the bottom of the stairs.)

There is some speculation that maybe Sirena can fold up her nacelles for landing, and that might be true. There are rooms extending into the wings that would end up at an odd angle, but I suppose with artificial gravity, anything is possible -- if somewhat unlikely.

Still, if we presume Sirena's wings are rigid in general, the distance from the tarmac to the belly of the ship (here: the stage floor in the schematic) is a bit larger than 4.8m.

I wanted to adapt the ladder accordingly, but getting good measurements by converting between feet, pixels, and metres is a bit of a hassle. So instead, I simply used the measurements already on the schematic and extended the ladder so that the ship's clearance would be 5.5m or around 18ft.

This brings the total length of the ladder to about 21ft or 6.5m, and overlaid on the orthogonal ship view, it looks like this:

(The green line once again indicates the bottom of the stairs.)

As you can see, this length requires for the outer engines to fold up a little bit and would have the lowest point of the nacelles basically sitting on the ground. I personally think that would make a lot of sense, and in season 2 we did see that the outer engine pods are on hinges and can definitely fold down.

(It's subtle, but they do move back into their resting position towards the end of the gif.)

It was never confirmed that the engings can fold farther up as well, but looking at how they're attached, I think it makes sense that they could.

Now, in the adjusted S1 concept art of Sirena at the space port, the outer engines are in their normal positions and the wings are actually fully off the ground, with the ship resting on extended landing gear:

So, my extended ladder is the absolute minimum length needed to account for the dropped wings. In all likelihood the ladder would have to be even longer than that, because the clearance would be over 5.5m.

One thing that playing around with all of these views and measurements made me realize, though, is that La Sirena is quite a bit larger than I usually picture her. I have this realization about once every two or three months, so to make it easier to internalize, I asked the wonderful @regionalpancake to assist me.

Google helpfully suggests that 5.5m / 18ft is about half the size of a telephone pole or of three Michael Jordan's standing on each other's shoulders. It is also the size of...

... one average adult giraffe. (This is more or less helpful, depending on when you last went to the zoo, but I really enjoyed that as a visual aide.)

And because Regionalpancake is a good sport (and extremely proficient at adding animals to La Sirena), she also gave me this second edit:

(She also helpfully removed the spacedock workers who were a little to tall in comparison to Sirena. Hopefully, the friendly Averagely-Sized Adult Giraffe will make the ship's real dimensions slightly easier to gauge.)

So, now we have an idea of what might lurk beneath La Sirena's bridge!

I imagine in-universe, there is more stuff stashed under there than just the stairs, though. Perhaps the space gives easier access to the phaser banks in the nose of the ship, or to some other flight control or power distribution machinery. And there's still the question of why Picard, after a very emotionally draining conversation, chooses to head into this space rather than going straight upstairs to his cabin or to his study on the holodeck. (Yes, I know the Doylist answer is because it was the more dramatically satisfying blocking/staging choice, but on this blog, we like to dig for Watsonian explanations, too!)

My personal guess is still that there's some communal washroom down there, because those have to be somewhere on the ship, and that space would actually make sense, being in such close proximity to the bridge and mess hall.

But, since we never saw any of it on screen (and won't ever see La Sirena on screen again), I guess the space under the bridge will always remain a canonical mystery -- and thus available for any interpretation your writing /mapping/ headcanon might require ;)

[stranger-detective]

Okay just saw a post where someone was talking about the correct order to do maths in an equation acronym and they said 'PEMDAS'??? I learned BEDMAS wtf is this shit

so

These are the only ones I've heard but idk there may be more

[goldenpinof]

Phil's "we've known each other our whole lives" AU

[bacchuschucklefuck]

they tried to rebrand as The Criminals but riz is literally the city council's treasurer and also turns out people in their late 20s don't really name their friend groups. so now they're The Intrepid Heroes

[witchofthemidlands]

Me watching Midnight for the first time aged 8:

Me watching Wild Blue Yonder for the first time aged 24:

[egophiliac]

couple more quickies, because I gotta work through my Shroud-family feelings before I can even begin to process the Diasomnias, please bear with me 🙇

anyway, I couldn't decide which composition I liked better, so I did both!

[smokin9-box]

Yasss finally finished this, can you believe it? Took me the entire week but hey.

And was the first time drawing jax so that was fun

Tho I wasn't sure how to finish it

[beanghostprincess]

luffy knowing a bit too much information about beetles and zoro being oddly good at math are concepts that make me extremely happy for no reason

[ravings-of-a-mad-scientist]

Math

Geologist: I do more math than you might think

Chemist: I mean, chemical equations are basically mathematical equations. If you think about it (I also do math math)

Physicist: Oh, yeah, it’s all math but we just handwave it

Mathematician: YOU DO WHAT!?

Quantum Physicist: *regularly does math that is literally beyond human comprehension* *now resides in a higher plane of existence*

Engineer: If I don’t do this math correctly PEOPLE WILL DIE

Military Scientist: If I don’t do this math correctly PEOPLE WILL SURVIVE

Topologist: If I don’t do this math correctly PEOPLE WILL BE MOSTLY UNAFFECTED

Philosopher: But what even IS math, really? No seriously, what is it?

Organic Chemist: I kinda forgot how to do math, to be honest

Biologist: I literally only chose this field so I wouldn’t have to do as much math. I love stamp collecting

Biostatistician: wtf

[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.

[ryllen]

[peach-pot]

ok my turn

[unhealthyobsessionwithbsd]

Tumblr has no idea what to talk about so math is number one trending

[thelittleredrobinhood]

[teazingsassy]

i was rewatching enies lobby, and theres a scene where luffy asks zoro a math question, and granted, it’s an easy multiplication, but i had a thought. what if...what if zoro is just really good at math for no reason?

[morganbritton132]

I absolutely love every time other people find something out about Steve and are just like ???

I wonder if any of his student’s parents are fans of Eddie’s but have no idea their kid’s teacher is married to him (perhaps finding out at career day 👀)

I love the thought of some rock n roll dad (aka: the guy in the minivan blaring Rage Against the Machine during morning drop off (aka: aka: my dad)) meeting his kid’s teacher during open house and seeing a picture on his desk of him and guitar legend, Eddie Munson.

Steve’s in the middle of explaining the curriculum for the year when Rock N Roll Dad points to a picture of him and Eddie backstage at the Rock N Roll Hall of Fame last year when Eddie presented like, “You like that guy?”

Steve looks from Rock N Roll Dad to the picture and then back, “Yeah, you could say that.”

Then he goes back to talking about what they should expect in terms of homework and that was that until parent/teacher conferences.

The first thing Rock N Roll Dad clocks in the new picture on Steve’s desk. It replaced the Eddie Munson one with a new one of the two of them in the parking lot after a local show. Steve’s got his arm thrown around Eddie’s neck, both of them smiling wide, and Gareth is in the background giving them bunny ears.

Rock N Roll Dad points to the framed picture like, “Pretty cool to have met ‘em.”  

“Yeah,” Steve nods. “It’s one of the best things that’s ever happened to me.”

Rock N Roll Dad is not gay himself but he is not one of those ultra straight Corroded Coffin fans that liked to pretend that half the band isn’t queer. He was actually watching the MTV Music Awards show that Eddie publicly came out at by declaring his love for some guy named Steve, and actually.

Rock N Roll Dad thought it made a lot of sense that Eddie Munson was gay because well. A lot of his songs were… phallic.

So, he knows.

He knows that Eddie Munson is gay and that he’s married to some guy whose name isn’t even listed on his Wikipedia page, and he knows that he lives in Chicago, but what he doesn’t know is why he never put two and two together and got Steve Harrington.

There’s a different picture of Eddie Munson on Mr. Harrington’s desk when Rock N Roll Dad goes to talk to him after his kid gets detention for being a little shithead. There is framed original concept art for CC’s first album on the wall behind Steve when Rock N Roll Dad checks in on his kid during a zoom study session.

Hell, Rock N Roll Dad follows Eddie on Tiktok.

He has seen the ass shots that Eddie has posted of his husband in his running shorts, and he did think, yeah, that’s a great ass. He didn’t know he was thinking that about his kid’s math teacher!!

It’s not even Career Day when he discovers it. It’s the day before when they can set up their booths in the gym because Rock N Roll Dad may be a heavy metal fan always, but he’s also an accountant from 8:30 to 4:30 Monday thru Friday.

 He’s struggling to keep his poster board up when in walks guitar legend, Eddie Munson. He’s carrying a box, following behind a guy carrying an iguana.

Rock N Roll Dad abandons everything and walks over to the booth across the way. He can hear the two bickering with each other but before he can say anything, Steve Harrington is there and he is distressed, “Why do you have that?!”

“Her name is Leia, Steve,” Dustin says, “and she has separation anxiety.”

Steve opens his mouth like he wants to complain but doesn’t even know where to begin so he just accepts it, “Is she going to eat somebody?”

“That happened one time!”

Eddie Munson, infamous guitarist that lived on Rock N Roll Dad’s walls as a teenager, uses the opportunity to slide up next to Mr. Harrington and wrap an arm around him. He kisses his cheek, “Baby, we’re here to help.”

“You’re here to guilt me into letting you be a part of Career Day.”

“I can multitask, babe,” Eddie grinned, still so close to Steve that his smile touches his cheek. Steve just sags against him and Rock N Roll Dad thinks, oh. He thinks, oh, shit.

“You have a fan,” Steve mumbles, pulling away a little. It takes Rock N Roll Dad a second to realize that they’re talking about him and then he thinks, fuck.

“Hey – Hi. Uh.” He stops, thinks about lying and saying he needs tape or something, but settles on, “I didn’t know my kid’s teacher married you.”

“Technically, I married him.”

“Technically, I married both of you,” Dustin pointed out. “I officiated the wedding.”

“Ah,” Rock N Roll Dad says because what else is there to say. “Big fan.”

“Yeah, I can tell.”