The more I look at it, the more I feel like my brain is being hacked.
Did you know that a²-b² = (a+b)(a-b)?
Because this ai really wants you to know that
this post was submitted on 12 Jul 2025
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I also usually really want people to know that, but it’s not “completing the square” or “wffence of txsquare.”
Well it can't decide what the solution is:
a²-b² = (a+b)(-b)
That is the offense of a texas square according to those flawless notes.
This a great visualization of what LLMs are about. The purpose of a LLM is to produce something that looks right. The way this math sheet looks great at first look, but the actual content is just garbage, same do LLMs create output that sounds right and it doesn't really matter if it is. And improving LLMs is not about making the answers more reliable, it's about making them sound even more convincing.
If we improve LLMs they will be able to remove that "+" at the end, so you won't know it's wrong until second glance.
But the worst thing is that some of the things are correct:
a²-b²=(a-b)(a+b)
a²+b²=c²
And these are common knowledge. This makes it even worse, since you have some correct parts to "prove" the rest is also correct.
It's creative writing, about the same as what I'd expect a random artist to produce as an illustration for some genius math. I'd be much more worried about AI if it got everything right already lol.
And there are efforts, even simple methods to verify LLM output, like asking it to provide sources for claims or find examples of the formulas in the web or in textbooks.
it's kinda fucked that some of it is right
There is enough of it that randomly being right was likely.
But being partially right is even worse, since someone might recognize the right parts and think the rest must be correct too.
tan θ =
$$ \sqrt{\sec(\theta)-1} $$
TRICKS
I saw Tangent & Nor open for Iron and Wine, they were pretty good.
For a second I really thought all of high school math had left my brain.
I think I lost a a few braincells looking at this.
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Facebook is so screwed.
Like, I didn’t think anything could kill the Behemoth, then Zuckerberg says hold my beer.
I'm feeling like we're the last generation to have had the privilege to live in a world where knowledge was valued, rather than the appearance of knowledge.
The masses don't seem to care if something is right, but don't take them for no damn fools!
Nah, it was always the appearance of knowledge, it's just never been this easy to produce it in these quantities
Some of the symbols are, uh, unusual.
Like 8 of these are even correct
Am I missing something, it looks like a formula sheet
Almost all of it is wrong or just off/weird. It accidentally gets a few things correct, but notice how often things are repeated randomly. Remember your SOHCAHTOA and look at the triangle and the trig definitions it’s giving.
The third equation under “Calculus” is giving the quotient rule where it should be giving the product rule.
It looks like it’s trying to do power rule for integrals, not sure what’s going on in that section.
That bottom right graph looks like x^3, not x^2.
y=e^x is not the unit circle.
The section under discriminant is an illegible mess.
How to factor… I have no idea what is going on there.
The distance formula is wrong.
They rendered pi as “n.”
This is completely meaningless and worthless.
Gotcha, fact check the formula sheets from now on. Haven't used one in a long while but damn that's good to remember.
Just don't take your math advice from facebook.
There don’t seem to be any good math pages on Facebook. I’d like some sort of “daily brain teaser” but it’s all ambiguously written arithmetic problems with parentheses and division, or shit like using “e” as a variable to be obnoxious.
delete facebook
If you want an actual set of puzzle games, they may not be math, but try Simon Tatham's puzzle collection. Its available for free on pretty much everything including app stores, but can also be played in-browser. It has basically every deductive logic puzzle ever made except the water pouring one, and it can basically just generate them ad infinitum.
Its all in the tricks function )( X
This is pronounced ehims
A ehims B. A)(B
I could really go for a big slice of n.
so it took the model 2 tries after "Completing the square" and "Tricks" to get the " Diff of 2 squares" correct.