#arithmetic sequence

[i--what]

Thanks to my math teacher who allowed me to sperg out about my beautiful boy on my infinite arithmetic sequence assignment

[mistakenlyfoundnico]

we are five days into the new year and i have already read a total of 85 fics, that is 17 fics a day, however most only range from 3000-10,000, to anyone reading this you might be thinking damn this person most have a lot of free time, i have convinced myself that i can stay up an hour later than the night before for the last three nights so i am getting roughly 5 hours of sleep a night so i can read superbat and batfam fics

[clowndensation]

these math lessons are so funny, because the lesson i watch will be like you understand this, right?:

and then the practice problems are like. we understand this is tricky, but give it your best shot:

[fogbreo]

i bring horrible vibes to the function with my evil maths and my wretched graphs

[pokotate-mc]

song of the spiral

fibonacci sequence, modulo 3, modulo 6, modulo 9, modulo 12, and modulo 15, mapped onto the f# minor scale. Played on note blocks in minecraft

using a lower modulus creates a short ostinato, and as we add in each higher modulus, the music sequence harmonizes with itself

full video here

[bakingmoomins]

one thing about me is i will make you think about the inherent link between math and knitting and crochet

[9nid]

📘 JEE Series Part-18 | Arithmetic Progression (AP) Part-02 – Deep Dive into Core Concepts

Welcome to Part-18 of the 9nid JEE Series, your ultimate Hinglish learning zone for mastering JEE Maths with clarity and confidence. In this session, we go deeper into Arithmetic Progression (AP) — one of the most scoring topics in Sequence and Series for JEE Main and Advanced. 🔍 What’s Covered in This Video? In this video, we move beyond the basics of AP and explore more conceptual and…

[edusquaremaths]

📘 JEE Series Part-18 | Arithmetic Progression (AP) Part-02 – Deep Dive into Core Concepts

Welcome to Part-18 of the 9nid JEE Series, your ultimate Hinglish learning zone for mastering JEE Maths with clarity and confidence. In this session, we go deeper into Arithmetic Progression (AP) — one of the most scoring topics in Sequence and Series for JEE Main and Advanced. 🔍 What’s Covered in This Video? In this video, we move beyond the basics of AP and explore more conceptual and…

[f1shart]

SURE!! (glad someone asked because i wanted to share anyway LOL)

STEP #0

You'll wanna separate our IRL lifespan into the same age cohorts represented in TS2. You could choose any years you want to fall under each cohort, just keep track of how many years are within them. For elder, you're gonna want to establish a maximum despite the age of death varying.

My personal interpretation:

Baby: 0-1 year (1) Toddler: 2-5 years (4) Child: 6-12 years (7) Teen: 13-18 years (6) Young Adult: 19-24 (6) Adult: 25-64 years (40) Elder: 65-79 years (15)

I include young adult in mine (even though it doesn't really work like that in game) because most of the adult premades whose ages I convert seem 25 years or older. IN MY OPINION!! Hence why Lazlo being on Day 1 correlates to 25 instead of 20 or smth.

I also cut Teen off at 18 instead of 19 because that's the typical age high schoolers graduate here.

Highly important for reference, here is each life stage in The Sims 2:

Baby: 1-3 days (3) Toddler: 4-7 days (4) Child: 8-15 days (8) Teen: 16-30 days (15) Adult: 31-59 days (29) Elder: 60-79 days (20)

Elders will last 9 to 30 days in that stage so I averaged it out to 20.

You'll need to find the life stage duration yourself if you use a mod but, since it's my personal favorite, here's Netero's Nice Lifespan:

Baby: 1–2 days (2) Toddler: 3–9 days (7) Child: 10–25 days (16) Teen: 26–45 days (20) Adult: 46–109 days (64) Elder: 110–129 or 139 days (20/30)

STEP #1

Find out which day your sim is on. I'll use the beautiful Jenny Smith as an example 🥰

She is 5 days away from aging up when you start the game which is day 24 of the adult life stage.

STEP #2

Unfortunately, it's math time! The formula I use is (day in life stage)/(total days in life stage) = 𝑥/(total days in IRL equivalent age cohort), also pictured below.

This is Jenny's data put into the formula. She's on day 24 as stated before, she's an adult sim which is a life stage of 29 days, and - with my interpretation - the IRL adult "life stage" contains 40 years.

Then you solve for 𝑥, or rearrange the problem so that it's (24*40)/29 (cross multiplication). Round to the nearest whole number, and I get 𝑥 ≈ 33. This is not her final converted age!!

STEP #3

Finally, you'll need to find out what the 𝑥th number is between the years that encompass your cohort. For Jenny, I'm finding the 33rd number between 25 and 64, counting 25. I use my fingers for this tbh, and I get 57! With this system, Jenny is 57 years old ^_^ 💚

I hope this all makes sense. Luckily, it's pretty simple math :3 P.S. headcanons rule above any nerdy calculations. Jenny is actually Buzz's age in my mind, smh

thinking about buzz beating up the curious brothers again. like what do you mean

but buzz is older than them?? time to dissect this (and by that i mean overly complicate it!!)

Making Sense of Buzz Grunt Beating the Shit Out of the Curious Brothers (and Loki)

I went into this assuming that, considering how old Buzz is, him beating up the Curious brothers + Loki as a teenager was statistically impossible, especially considering their age in actual human years—but was I wrong? Is it actually possible that Buzz did fight them within the time he spent as a teenager?

First, some supporting information.

Age Conversions Based on Adult Lifestage

Buzz: Day 14 or 43 years old Pascal: Day 10 or 38 years old Loki: Day 9 or 36 years old Vidcund: Day 6 or 32 years old Lazlo: Day 1 or 25 years old

These aren't even my own age headcanons for them (except Buzz's which is surprisingly accurate), just calculations. If you want to know how I got them then feel free to ask 😇

Evidence Provided by Memories

As seen in the picture, Buzz fought everyone "as soon as he aged up." However, it's possible he just has no memories of early teenhood.

Pascal similarly gained the memory as soon as he aged up. This idea is more plausible with him because he was accepted into private high school after the fact. Sure, in gameplay, this can happen as late as the last day as a teenager, but I doubt this is what Maxis was trying to convey since they literally handpicked these memories. Meaning: Buzz beat him up in middle school…?

Loki's only teen memory is losing the fight.

According to the Sims Wiki, Vidcund has no memory of Buzz beating him up (how hard did he hit him?)

Similar to Loki and Pascal, Lazlo's first memory as a teenager is getting beat up by Buzz.

Is This Possible In Normal Gameplay?

Disregarding any other family memories that arose around the time (I do NOT want to try to decipher the entire Curious timeline), the fight memories are in fact possible with their Sim ages.

The teen lifespan in The Sims 2 is 15 days long. Buzz is 4 days older than Pascal, 5 days older than Loki, 8 days older than Vidcund, and 13 days older than Lazlo.

Ensuring that everyone still falls within the teen lifestage, I made a table of the earliest and latest possible ages everyone could have been when Buzz attacked:

Converting their teen days into human years, Buzz either beat them all up as an 18 year old OR slowly picked them off until age 17 which is right before he kissed Lyla. None of this, however, is possible based on the initial age calculations.

Buzz's Attacks Based On the Adult Age Conversions

Buzz is 5 years older than Pascal, 7 years older than Loki, 11 years older than Vidcund, and 18 years older than Lazlo. There are two ways we can interpret their memories: either the Curious brothers + Loki were teenagers when Buzz attacked, or Buzz was a teenager when he started attacking them.

On the basis that Buzz is still a teenager, and assuming each fight happened in close proximity to one another, he specifically had to have been 18 years old when each one happened. This makes Pascal a 13 year old, Loki an 11 year old, Vidcund a 7 year old, and Lazlo…a newborn. ☠️ Alternatively, Buzz may have started younger and continued fighting until 18, the only teen year he could have possibly encountered Lazlo in.

If that seems implausible, then maybe Buzz wasn't a teenager and instead beat the boys up as soon as they turned thirteen. This would make him 18 for Pascal, 20 for Loki, 24 for Vidcund, and 31 for Lazlo. (Side note: Tank and Ripp would have been born by then.)

Conclusion

Regardless of whether you base it on Buzz been a teen or the victims being teens, him beating up Lazlo looks pretty bad. And if you go by gameplay rules, everything flows surprisingly well. According to normal gameplay AND real-life age conversions, Buzz is a big meanie who beat up at least one kid as a legal adult, at least with the age conversion system I used…

Me personally, I think he was college-aged when he started bullying them. (Or maybe they attacked him? Plot twist.) Of course, what I discussed weren't the only possibilities, but they should give a good idea of how things actually went… and maybe they can inspire your own headcanons! ^_^

this is such a useless pseudo-essay LMFAOO

[tanadrin]

The syntax is like that of Lisp or Scheme, consisting of parenthesized lists. Keywords are in Arabic (specifically, Lebanese Arabic)[2] and program text is laid out right-to-left, like all Arabic text. The language provides a minimal set of primitives for defining functions, conditionals, looping, list manipulation, and basic arithmetic expressions. It is Turing-complete, and the Fibonacci sequence and Conway's Game of Life have been implemented. Because program text is written in Arabic and the connecting strokes between characters in the Arabic script can be extended to any length, it is possible to align the source code in artistic patterns, in the tradition of Arabic calligraphy.

shit that's cool. it should throw a syntax error if your calligraphy isn't sufficiently ornate.

[max1461]

When I was a kid, I remember being really astounded by the fact that arithmetic is consistent. Like uh, 2 + 3 + 4 is 9. And 9 - 4 is 5, which is 2 + 3, and 9 - 2 is 7, which is 3 + 4! And 7 is also 6 + 1, and guess what, 9 is also 6 + 1 + 2, and even more amazingly, 6 is 4 + 2, and (remember 9 - 4 is 5) 2 + 2 + 1 is 5! No matter what you do it's always consistent, you can't trick it by adding and subtracting some convoluted sequence of numbers until it gives you an answer that's inconsistent with the rest.

When I was first learning arithmetic I remember that I just found this crazy, like, how does it always work out? That shouldn't be possible. And I figured that, naturally, when I got older, someone would eventually give me the answer to this incredibly pressing question. And, well, it turns out nobody has the answer, and they actually proved that it's impossible for anyone to give a satisfying answer. So, that's a bit disappointing.

[ryuusea]

sherliam rkgk, flirting with “mr. scott” + drabble:

A pleased smile pulls at the corner of his lips, easily mistaken for pleasantries by anybody else. But he isn’t just anyone else. Sherlock Holmes recognizes the playful invitation to a game, and lets himself be tugged in.

“To what do I owe the pleasure of a visit by the renowned consulting detective, and London’s savior, the Mr. Sherlock Holmes?”

“You teach maths, correct, Mr… Scott, was it? Do you like maths puns?”

With that, Sherlock crowds into him, so close that his chest is but a mere breath’s take away from the teacher’s back. Mr. Scott isn’t daunted by the bold move, does not allow himself to be pushed up against the blackboard. He indulges Sherlock with a curious lilt of his head.

“Indeed. As for the latter, perhaps. Impress me, Mr. Holmes.”

A wide and eager grin, egged on by his words, splits across his face. Sherlock picks up a piece of chalk and leans around Mr. Scott, to messily scratch in the answer to the arithmetic problem on the board just beside his head. Sherlock doesn’t miss the way the other turns his face in towards his exposed neck, nor the surreptitious inhale. It sends shivers along Sherlock’s spine, not unlike the first time he had been allured by scarlet eyes admiring sequences in a spiraling staircase.

Sherlock sets down the chalk, leans back just enough so he can drink in the look the maths teacher is giving him from beneath hooded lashes, also dyed dark – that kid really is thorough with his disguises – it’s a patient, expectant look. One you don’t want to disappoint.

“Ya know, I feel like we could manage some integration later.”

“Oh? What kind of integration?”

He licks his lips, an already eager grin turning wolfish. “The type with undefined limits.”

A shift as he considers Sherlock’s words, spectacles catching the light through the windows. For but a split second, Sherlock cannot see those eyes through the reflected sunlight on the lenses. Then, a soft laugh puffs out from between lightly pursed lips. Mr. Scott raises a hand to his mouth, chuckles again. It reminds Sherlock of mornings over shared coffee, filled with amused, yet most importantly of all, approving smiles. Sherlock feels his heart surge, chest swelling with warmth – it’s been far too long, he’s missed seeing and hearing that –

The maths teacher fully turns around then. It’s his turn to push him back, to invade Sherlock’s space.

“I’m afraid that’s well above my pay grade, Mr. Holmes, I am but a teacher to primary school children…” His eyes narrow, sharpening, darting towards the classroom doorway in warning. Ah. But, shielded from view by Sherlock, he lifts a hand to run a teasing forefinger down Sherlock’s shirt placket, down until he’s caught at the intersection of his closed jacket, then withdraws, “But we can continue this conversation in my office.”

—

Thanks to this Reddit post for inspiration:

[seat-safety-switch]

When I became a junior detective, I got assigned to work with Detective Math. Bob Math is a legend in the department: he uses arithmetic and problem solving to crack unusually number-specific cases. He's got a nemesis, of course, all the cool detectives back then did. Al Gebra kidnapped his wife once, tried to ransom her for a plane to Mexico. Math didn't stand for it: after figuring out the complex polynomial sequence that revealed the address of the shitty dockside warehouse he was renting, he subtracted a couple of Al's digits using a cleaver.

Thing is, he was all a fraud. One night, while we were riding from one case to another in his beat-to-shit Dodge Rampage, he told me that he never actually graduated high school. Back then you could get away with it, most of the detectives in his generation got there because they had read a book on detective skills by accident while their partner tortured an informant. He didn't know shit about math, in other words. One of the staff sergeants saw him (poorly) doing a Sudoku one day and decided he must be good at math, fast-tracked his detective exam, he was afraid to say no, so now he's "the detective who's good at arithmetic." Math wasn't even his name, either: he took his wife's name in the divorce to keep the scam going.

All this is prologue to the thing that really mattered: our big case. It seemed normal at first, a political corruption thing. "Sorry it's not a numbers racket! Haw!" shouted the chief as he handed out the assignments. Even so, there were still a lot of numbers.

It seemed like the Mayor Himself's Assistant Herself had been helping Herself to some dirty money from various car dealerships in exchange for a favourable ruling from the land zoning department. One of the spoiled rich kids that owned a Chevrolet dealership didn't get what he wanted out of the deal, and blew the whistle. Two days later, he was found dead in a truck stop bathroom, beat to death by a calculus textbook. Math's involved? Get me Bob Math, they no doubt thought. Detective Math was used to it, and he went about the usual pantomime in his role: carrying around an old Texas Instruments calculator with no batteries in it, interrupting meetings in the precinct to measure parts of the room with old bits of string, the whole schtick. Then we went down to City Hall to get a confession.

You guessed it: it was the mayor's assistant's teenage daughter, Becky-Sue, who did in Ted Chevrolet. She was the work-experience hire, selling Topkicks out of the back to her mom's friends, and finally had enough of him skimming her commission. Bob Math sighed as he realized that yet another murder case of his had involved percentage points of a dollar. He would have to put on his fake professor glasses to explain it to the media.

Even so, the press conference went great. The assembled reportage beamed with pride as they hung on every bullshit word of our imaginary arithmetic hero. Something didn't add up, though. I didn't notice that that cameraman in the back, who was missing a couple fingers, until it was too late.

[howlingday]

Pyrrha: I don't mind us helping with your studies, but wouldn't it be easier without us distracting you?

Blake: Well, studies show that there benefits to studying together that can't be found in studying by ourselves.

Jaune: Hey, uh, if we fail this exam, does that mean the whole team doesn't get to go on vacation, or is it just that person?

Ruby: Well, if we're supposed to be a team, then we should all take it like a team, right?

Weiss: I'm not worried. Not to name names, but I suggest you stay out of my way, Arc!

Jaune: H-Hey! What happened to not naming names?!

Nora: We'll show you, Weiss! Jaune'll ace this thing; you'll see!

Ruby: ...

Ren: Is something wrong, Ruby?

Ruby: I'm having trouble with this math problem...

Ren: Oh, the arithmetic sequence? Do you remember the formula for calculating the sum?

Yang: Solving problems like this really arithmetickles my funny bone~! Haha, oh man, I gotta write this down...

Weiss: Ugh... Dealing with Arc is one thing, but I never had to deal with both him AND Xiao Long like this...

Nora: Oh, so you think you can one-up our leader? Guess again, Yanga-Banga!

Jaune: Could we not get distracted like this?

Pyrrha: ...Jaune, are you stuck on the same page? Oh, I see! You're using memorizing techniques, aren't you? I see... Nothing beats repetition until you can memorize it by heart.

Yang: Beats? Heart? Bravo, P-Money! That was a good one~!

Pyrrha: Wh- No, no, I- I didn't mean to-

Ruby: Well, if you're pullin' out of the race, then we win hands down! Team RWBY stands unde-FEET-ed~!

Weiss: Ugh... This was the worst idea ever...

[pokotate-mc]

song of the spiral

these are the clips I recorded for backgroun music on my "song of the spiral" video. use the popout player for some music while you scroll, or take a break and listen for a bit.

while trying to decide which note blcok instrument to use for the background music, I discovered how nice note blocks sound when doubled with packed ice + gold blocks. it creates the perfect sound for a pensive mood.

the background music, in theme with the video topic, is also derived from the fibonacci sequence (and lucas sequence) using the same conversion framework.

full video here

[fictionadventurer]

After learning that it was Fibonacci Day and reading about the Fibonacci sequence and the Golden Ratio in nature, I just had to write a Fibonacci poem to celebrate. The syllables in each line follow the Fibonacci sequence.

Since I wanted it centered, you get the poem in an image, but I'll put the text under a cut.

Upon Learning About the Golden Ratio in Nature

God's

Math

Paints worlds

In patterns.

Spiral galaxies

Down to trees and flower petals

Showing off His love of beautiful arithmetic