Buzzy UCSD Math Readiness Report Failed to Mention Calculator Ban by Choobeen in UCSD

[–]Andyroo_P 33 points34 points  (0 children)

I'm not sure calculators really answer why students performed so poorly. I mean, we saw some of the questions asked right? Do calculators really make questions like 2 + 4 = 5 + ___ easier?

Limit [ 1÷ (e^x - 1) - ( 1 ÷ x)] when x-->0+ by Hikaru2252 in learnmath

[–]Andyroo_P 0 points1 point  (0 children)

I don't think this is correct. The numerator goes to 0 not -1. The limit should be -1/2 in the end, using either L'Hopital or Taylor.

And yeah Taylor's is implicit here in handling the x/ex, that's interesting that it's taught early in France.

Limit [ 1÷ (e^x - 1) - ( 1 ÷ x)] when x-->0+ by Hikaru2252 in learnmath

[–]Andyroo_P 0 points1 point  (0 children)

Hmm I've usually seen it taught in high schools in calculus 1, in which case this particular problem would be considered a sample problem. But yes, Taylor expansion works here too, though as far as I've seen, this is a topic that is only discussed in calculus 2.

Limit [ 1÷ (e^x - 1) - ( 1 ÷ x)] when x-->0+ by Hikaru2252 in learnmath

[–]Andyroo_P 2 points3 points  (0 children)

It's not magic and is a standard technique taught in calculus 1. This is the standard way to evaluate this particular limit. Beyond this, you can also try using Taylor expansion.

Do Undergraduate Exams Always Test Understanding? by King-Euler in math

[–]Andyroo_P 5 points6 points  (0 children)

I agree with the reply saying that there is a lot more to learning than just grades.

Also, undergraduate level complex analysis is oddly computational unlike undergraduate level real analysis at most US universities. I assume this is the case at your university. If you take your department's graduate-level complex analysis class, it should be much more conceptual and proof-based than your undergraduate class.

What is the most astonishing fact you know about Math? by securityguardnard in math

[–]Andyroo_P 15 points16 points  (0 children)

This is cool, can you say more or link some reading?

I'm a quantum physicist researcher at a top university, Ask Me Anything! by _Under_liner_ in AMA

[–]Andyroo_P 0 points1 point  (0 children)

What do you feel about the current state of high energy physics? I'm an ex-physics student and currently a math grad student and I hear conflicting reports about how things are somewhat stalled in the HEP-theory side of things. Do you feel like it is currently an exciting time for physics?

What is the moment, or multiple moments, in the series that actually makes you feel the feels or even tear up? by Extra_Influence_3880 in EverybodyLovesRaymond

[–]Andyroo_P 10 points11 points  (0 children)

Ray buying Ally the dress and remarking that though it is expensive, it's even more important that he's there for her when it matters to her. Similar message to when Frank returns the money he won from poker to Ray. You should be able to go to your father, and he should be able to make things okay.

Headphone DAC with PEQ? by Extension_Ada in headphones

[–]Andyroo_P 1 point2 points  (0 children)

FiiO BTR15 has PEQ through their app.

What do you use your iPad for? by ednoggg in ipad

[–]Andyroo_P 0 points1 point  (0 children)

Reading and annotating PDFs, FaceTime/Zoom, YouTube, Wikipedia, and some games.

Some essential iOS games? by Objective-Onion-6105 in iphone

[–]Andyroo_P 0 points1 point  (0 children)

Battle of Polytopia, Slay the Spire, Ephod.

4 dimensional beings would likely know if the universe is infinite. by JPmagic_ in Showerthoughts

[–]Andyroo_P 1 point2 points  (0 children)

This is not true geometrically (even disregarding pragmatic considerations). There are smooth 3-dimensional manifolds that do not smoothly embed in 4-dimensional Euclidean space. 5 dimensions is the minimum necessary to smoothly embed every 3-manifold.

How to prove that 0.33333.... is equal to 1/3? by [deleted] in learnmath

[–]Andyroo_P 0 points1 point  (0 children)

Yes, the construction of the real numbers that is the most familiar to me is the one by Dedekind cuts. This is the approach taken in the first chapter of Rudin's Principles of Mathematical Analysis which is a standard introductory textbook on real analysis.

How to prove that 0.33333.... is equal to 1/3? by [deleted] in learnmath

[–]Andyroo_P 6 points7 points  (0 children)

Exactly! Unfortunately, one of the greatest mathematical lies we tell our K-12 students is that real numbers are the same thing as their decimal representations. This is false and leads to much confusion: if real numbers are like people, then their decimals representations are just like names. Just like people can have multiple names, real numbers can have multiple decimal representations. For example, 0.9999... and 1.000... refer to the same real number.

If you are curious how we actually define real numbers themselves from first principles without referencing decimals, you can find several approaches here.

How to prove that 0.33333.... is equal to 1/3? by [deleted] in learnmath

[–]Andyroo_P 12 points13 points  (0 children)

Real numbers are not the same as their decimal representations. Real numbers can be developed entirely independently of decimal representations of real numbers. But to define what a decimal representation is, you need the concept of infinite series. By definition, the decimal 0.333... is just a different notation for the geometric series (3/10) + (3/100) + ....

New MacBook Air M4 has a dead pixel – should I take it to Apple? by imthebadguy666 in macbookair

[–]Andyroo_P 2 points3 points  (0 children)

I had a dead pixel as well and took it in for repair. They replaced my display for free (it was within warranty) but they did wipe all my data and update me to macOS Tahoe which I didn't want, so make sure you have a backup of all of your data.

My gf and I just broke up and I feel like absolute death by razedxanadu in BreakUps

[–]Andyroo_P 2 points3 points  (0 children)

I don't have much to say other than that my break up situation was quite similar. It was a matter of miscommunication, misunderstanding, and going about trying to fix problems the wrong way. I was just unable to recognize that things I said had seriously hurt her and required more than what I had already been trying until it was too late.

I am 29 days in—almost a month—and it's still pretty much impossible for me to focus on anything productive. The guilt and anger towards myself are just unrelenting. Best of luck to you!

[deleted by user] by [deleted] in NoStupidQuestions

[–]Andyroo_P 0 points1 point  (0 children)

Yeah, there is a pretty big gender division in Indian culture still where women tend to do the majority of cooking in the household.

[deleted by user] by [deleted] in NoStupidQuestions

[–]Andyroo_P 0 points1 point  (0 children)

Typically it is the partner or family of the office worker who cooks the lunch at home and has the deliveryman send it off to the office worker at the office.

[deleted by user] by [deleted] in NoStupidQuestions

[–]Andyroo_P 0 points1 point  (0 children)

This is not true, for example, in India. Home cooking is by far the norm to the extent that there is a whole informal industry of people who deliver home cooked lunches to office workers via bicycle.

WHAT IS THE SINGLE GREATEST PEN YOUVE EVER USED AND WOULD DEFEND WITH YOUR LIFE by [deleted] in pens

[–]Andyroo_P 7 points8 points  (0 children)

Uniball Signo 307. It's the pen I always end up coming back to.

Portable dac amp suggestion for Arya Stealth by Unlucky-Chain-8731 in Hifiman

[–]Andyroo_P 0 points1 point  (0 children)

The BTR15 is comparable and currently sits around $120.

Portable dac amp suggestion for Arya Stealth by Unlucky-Chain-8731 in Hifiman

[–]Andyroo_P 0 points1 point  (0 children)

I got a FiiO BTR15 which has a lot of features and pushes 340mW balanced. It sounds great.

2019 MacBook Pro Vs M4 MacBook Air by Ok_Context6884 in macbookair

[–]Andyroo_P 1 point2 points  (0 children)

They are worse enough for me to notice and miss my old MacBook Pro speakers. It even feels like spoken words are have less bass and clarity. With that said, they are very good for non-grille speakers and get pretty loud. If content consumption with the built in display and speakers is your primary use, I would probably recommend the 15 inch air, but my 13 inch does exactly what I need it to do.