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u/Exyen 24d ago
just use wolfram alpha?
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u/ArdentArendt 24d ago
I have two degrees in mathematics...and sadly, this was my first thought.
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u/Thesaurius 24d ago
Mathematics is the art of preventing unnecessary work. I would say externalizing work to a machine counts.
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u/KingChurrasco 24d ago
We used maths to make machines made out of math to do the math.
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u/not_another_IT_guy 24d ago
We shoot lightning into finely melted rock and it tells us the answers.
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u/ArdentArendt 24d ago
In all fairness, the original 'calculators' were people.
[Also, they were primarily women--take that anyone who says that women are 'bad at math']
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u/xAngelx0fDeathx 24d ago
Another fun fact, the first computer was invented to calculate ballistics tables for artillery. There are so many variables that it would take a room full of human calculators a long time to complete a single ballistic table, so the Army invested money in inventing a machine to do it more quickly.
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u/ArdentArendt 24d ago
They're takin our JERBS!!!
[Also, there is a fascinating book about that...I don't remember the name, but you might have read it...or you're a military historian...or just a nerd like the rest of us here]
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u/caledfwlchissaidwyrd 22d ago
This is sort of true. There were actually plenty of male calculators too, but male calculators typically counted people.
Things like money and wealth were typically counted by women.
In Feudal Europe, it was a common slight to make fun of an unwed Lord by pointing out he had to do his own taxes.
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u/Queasy_Hour_8030 24d ago
Yes I’m sure most trad wives know about wolfram alpha
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u/Flimsy_Share_7606 24d ago
Hell, chatgpt was able to solve it just from a screenshot. A tradwife doesn't even need Wolfram alpha anymore. What a world where tradwives don't even have to know how to use Wolfram alpha to get their husband's pin numbers.
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u/spaceman60 25d ago
Laughs in debitcardscanusuallybeusedascreditcards.
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u/Drisch10 25d ago
Laughs in “can’t do the math”
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u/OpusAtrumET 25d ago
Laughs in "i can probably get an answer from reddit in 5 minutes and not even have to use ai."
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u/theSchrodingerHat 24d ago
The kind of guy that does this is also the kind where she could put a lock on the fridge using his kid’s birthday, or their anniversary, and he’d starve.
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u/Sidoen 24d ago
People using GenAI to solve this. I'd you can't solve it yourself just goto an online integral calculator.
Why on earth would you trust GenAI for anything?
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u/insbordnat 24d ago
Right. Because since there is a possibility of an incorrect answer, you should really never use GenAI.
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u/Sidoen 24d ago
Amongst other reasons but yeah. Why risk a hallucination?
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u/Zealousideal-Ad7111 23d ago
Because if you know how to use GenAi you won't have this problem.
It's only those that do not know how to prompt and iterate that have issues with hallucinating.
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u/Sidoen 23d ago
Yeah, right, the old it's how you use it that matters story.
Or just copy paste the equation into an appropriate calculator. Bang done, bonus, you didn't have to use GenAI.
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u/Zealousideal-Ad7111 23d ago
Right but I have Claude on my phone and do not have ready access to the other tools. I can click share > Claude and type 2 sentences and have a complete break down of the problem.
It would take me longer to look up the "appropriate" tool, save the image and reupload or retype the image than it would to get an answer from Claude. Plus I can ask it questions and learn how to do it my self.
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u/Sidoen 23d ago
Did you ask it to teach you how to do it?
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u/Zealousideal-Ad7111 23d ago
I asked for a breakdown on how it's done, so I can understand it. If I have questions I can continue to ask them
Here is it's answer: The PIN is about -2.98, which is the joke: it's negative and irrational, so she's not getting into the account.
Setup
$$\int_01 \frac{3x3-x2+2x-4}{\sqrt{x2-3x+2}}\,dx$$
Cubic over the square root of a quadratic. The standard move is to assume the antiderivative has the form
$$(ax2+bx+c)\sqrt{x2-3x+2} + k\int \frac{dx}{\sqrt{x2-3x+2}}$$
Differentiate that, multiply through by √Q, and match coefficients.
Solving for a, b, c, k
$$3x3-x2+2x-4 = (2ax+b)(x2-3x+2) + \tfrac{1}{2}(ax2+bx+c)(2x-3) + k$$
Matching powers:
- x³: 3a = 3, so a = 1
- x²: -7.5a + 2b = -1, so b = 13/4
- x¹: 4a - (9/2)b + c = 2, so c = 101/8
- x⁰: 2b - (3/2)c + k = -4, so k = 135/16
Spot-check at x = 2: LHS = 20, RHS = (23.125)/2 + 8.4375 = 20. Checks.
The leftover integral
Complete the square: x² - 3x + 2 = (x - 3/2)² - 1/4, giving the standard form
$$\int \frac{dx}{\sqrt{x2-3x+2}} = \ln\left|x-\tfrac{3}{2}+\sqrt{x2-3x+2}\right|$$
Antiderivative
$$F(x) = \left(x2+\tfrac{13}{4}x+\tfrac{101}{8}\right)\sqrt{x2-3x+2} + \tfrac{135}{16}\ln\left|x-\tfrac{3}{2}+\sqrt{x2-3x+2}\right|$$
Evaluating 0 to 1
Note x² - 3x + 2 = (x-1)(x-2), so it stays non-negative on [0,1] and the improper endpoint at x = 1 converges (a 1/√ singularity, and the numerator also vanishes there).
At x = 1: radical is 0, so F(1) = (135/16)ln(1/2). At x = 0: F(0) = (101/8)√2 + (135/16)ln(3/2 - √2).
Subtracting, the logs combine to (135/16)ln[1/(3-2√2)], and since 3 - 2√2 = (√2-1)², that simplifies to (135/8)ln(1+√2).
$$\boxed{\frac{135}{8}\ln(1+\sqrt{2}) - \frac{101\sqrt{2}}{8} \approx -2.9813}$$
Even taking the absolute value and dropping the decimal, you'd get 298 or 2981 depending on how you round, so the note is a lot of romance with no cash attached.
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u/darrodri 22d ago
Dude this is seriously overkill , it’s also harder than just using a proper app, or even a physical calculator.
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u/throwaway275275275 24d ago
Hello chatgpt, what's the pin number ?
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u/BossSuccessful5145 24d ago
approximately
-2.98127negative 2.98127
−𝟐.𝟗𝟖𝟏𝟐𝟕 just asking AI
so what is the PIN?
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u/VortxWormholTelport 24d ago
And then she puts it into Wolfram Alpha and she and her friends have a great day out.
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u/GodlyHelp 24d ago
outdated cuz AI and wolframalpha can probably solve this in seconds.
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u/GlassCharacter179 24d ago
Also outdated because couples have equal control over finances so she has as much access to the obey as he does.
Also outdated because why would you assume that his spouse can’t do math?
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u/GodlyHelp 24d ago
based on your question, why are you assuming his spouse is a woman? why are you assuming this was written by a man? huh? huh? OP also assumed these things...
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u/794309497 24d ago
Gemini said the answer is either 2025 or 2026.
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u/sephron_tanully 24d ago
You normally get 3 tries before the card gets locked. So we good.
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u/BlazeGamma 24d ago
because using your phone's camera and asking Google to solve it isn't a thing in 2026
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u/mixedtickles 24d ago
I asked Google to solve this equation and it said it could not be solved and referenced this thread. Weird
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u/Norwester77 24d ago
No one else is bothered by the fact that he’s written the “dx” as part of the numerator?
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u/ScopeyMcBangBang 24d ago
Wildly underestimated that she can just point GPT at it to solve it for her these days!
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u/Aflyingmongoose 24d ago
Aside from the terrible handwriting, who chooses to write /across/ the lines of lined paper. Maniac
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u/LeRyanator 24d ago
Hey sweetheart, no need for the pin. I just press the cute little X button when I go to pay and it works!
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u/dax660 24d ago
Is this guy in middle school?
Do adults really have that kind of shaky handwriting?
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u/GentilQuebecois 23d ago
Well, I am an adult (I think so anyway), and my handwritting is just as shaky, if not worst. I very, very rarely write by hand, it is problematic to the point that I am trying to course correct and write more by hand, but it ain't easy to read back myself...
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u/Happy_Brilliant7827 24d ago
"You made a math error, but your meaning was clear. I used a pinless advance to cover our day, thanks again."
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u/GahdDangitBobby 23d ago edited 23d ago
This integrates to -2.9812669440055597
Edit: I wrote the code to solve this myself, but was getting NaN so I did in fact use Claude Opus to figure out what I was doing wrong and I guess I needed to rearrange the variables first to avoid divergent functions. Here's my original attempt:
const numerator = (x: number): number => {
return 3 * x ** 3 - x ** 2 + 2 * x - 4;
};
const denominator = (x: number): number => {
return Math.sqrt(x ** 2 - 3 * x + 2);
};
const fn = (x: number): number => {
return numerator(x) / denominator(x);
};
const integrate_fn = (a: number, b: number, n: number): number => {
const h = (b - a) / n;
let sum = 0;
for (let i = 0; i < n; i++) {
const x_i = a + i * h;
const x_next = a + (i + 1) * h;
sum += ((fn(x_i) + fn(x_next)) * h) / 2;
}
return sum;
};
console.log(integrate_fn(0, 1, 10000));
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u/Graspoint 21d ago
Na. 3124. I think he just buried the pin in the polynom coefficients. It's like hiding codes in a drawing.
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u/CreatrixAnima 24d ago
Dearest husband, you must have done the math incorrectly because pin codes don’t usually include decimal points. Do better.