#sum of squares

[math-journal2]

<— Unit 3: Part 4 —>

Polynomials

Sum & Difference of Squares

Sum & Difference of Cubes

Factor Polynomial

Page 8

[peeterjoot]

Sum of squares and cubes, using difference calculus.

[Click here for a PDF version of this post] Motivation. I showed Karl Gauss’s trick for summing a \( 1, 2, \cdots, n \) sequence. Add it up twice, reversing the sum and adding by columns \begin{equation}\label{eqn:sumOfSquares:21} \begin{array}{c|c|c|c|c} 1 & 2 & \cdots & n-1 & n \\ n & n-1 & \cdots & 2 & 1 \end{array} \end{equation} We get \( n + 1 \), \( n \) times,…

[rbrooksdesign]

Mar 27, 2025, digital pen, brush & ink+, Reginald Brooks

[crow-caller]

A book i clearly really really gotta read is Modelland by Tyra Banks, but honestly it is extremely intimidating. Listening to 372 pages talk and read it makes it seem like a surrealist campy body horror masterpiece. Well. Not masterpiece as in quality, but it's so off the walls bonkers I don't know how i could tackle it.

Its just bizarre, full of these teen girls being tortured by over the top 'tests' and monstrosities. Coherence is secondary, but I'm not sure what is primary.

[odetojupiter]

jean kevin and neil all being 19 when they officially leave the nest feels significant somehow

(kevin being 19 when he runs, jean being 19 when renee takes him, neil’s fake age being 19 when he leaves after christmas and his real age being 19 when he leaves after riko is shot and he’s officially pardoned by ichirou)

[nosebleid]

Sephiroth haunting Cloud everywhere he goes like

[ninjago-leak-counter]

days since last leak: 25

[ego-sum-arbor]

Blanket progress!

30/240 squares complete

[leclercskiesahead]

For science

[miabrown007]

Adrien is so tired of the new wave of fangirls every time he makes it to the Vogue's most eligible bachelors list. so Marinette jokingly suggests this year he should date someone while the results are being complied, thus avoiding making the list.

but Adrien thinks, dragging an unwitting girl into this and dropping her the next week would just be cruel. and Marinette thinks, as Adrien's very good friend and achingly platonic superhero partner, she should have really shut up instead of offering to help.

[genshin-projection]

revealing these "most deployed" stats had me laughing so much. can you Guess. can you Guess who my favorite character is

[rbrooksdesign]

Mar 21, 2025, digital pen, brush & ink+, Reginald Brooks

My existential--Philosophy of the now:--Time is essential

Consciousness and time--Neither standing on their own--Require the rhyme

As time is simply--Perceiving the diffusion--Known as entropy

Entanglement fans--The diffusion of order--As fractals expand

Butterfly Fractal--Where 1 spans 2, 2 spans 4--'Til it fills it all

Always bounded by--Conservation of SpaceTime--Else empty the skies

Running sums keep score--While entangling back--Nothing is a bore

[harley-the-pancake]

Oh good, Skizz is iin Hermitcraft. If anyone needs me, I’ll be crying in a library beanbag.

[orcelito]

MIT visit 👍

Robotics. Cheetah Line. It's actually pretty cool. That lil thang there did this thing:

Robot Backflip

And then there's this thing:

It's the only machine of its kind in the world, on longterm loan to MIT. It's a field-emission transmission electron microscope. Aka they put things in there to study chemical reactions to see how atoms move by just absolutely blasting them with a ton of electrons & recording how they bounce back. Tiny little sample container, like the size of a pencil (from what they showed us), and it uses this Whole Room. Big thang.

There were a bunch of other cool microscopes and other nanotech stuff at this tour. Very interesting 👍

And then very, very, VERY important:

Him.

Yea that's it. MIT pigeon on MIT perch. Love that thang.

I also got these things and I love them. They're so cute.

I'm feeling like Yusuke up in here (with 2 lobsters). But see they're DIFFERENT. The little one is a magnet. And they have different writings on the claws. And they weren't even that expensive. I wanted them Both... will need to think up good names for them... maybe Yusuke and Yusuke Junior... you know.....

Anyways yeah 👍 busy first day. But very cool!!! Being here again rly highlights how *small* this campus is. I didn't have context for it when I was a teen. But yea OK MIT is kinda like. A noteworthy thing lol. Cool shit, still

[a9saga]

i don’t remember leaving this answer on quora over a year ago

[mitululululululululululululul]

496

not to be a number nerd on main but 2025 (45^2) will be the only square year most of us ever experience. the last one was 1936 and the next one will be 2116