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Archived threads in /sci/ - Science & Math - 59. page
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forget putnam exams, let's get some worthy oral exams in here

I will try to post regularily some funny challenges.
If no one has found in less than say 24h, I'll post a solution. Will try to add hints before if necessary.

If you already know the solution, please let the others try before posting.

Show that every matrix $M \in \mathcal{M}_2(\mathbb{R})$ can be written as $A^2 + B^2$, with $A,B \in \mathcal{M}_2(\mathbb{R})$
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What is $\mathcal{M}_2(\mathbb{R})$?
Is it the ring of $2 \times 2$ matrices with real entries or what?
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>>7801917
yes

sorry I thought it was like that everywhere.
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>>7801905
> pesage de couilles façon normale sup'
FGN ftw

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So, this is american science?
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>>7801870
Everyone is different OP

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Anyone has any source for interesting and difficult math problems? I'm want to have some math fun.
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It may seem a but restarted, but give figuring out calculus a try. Not just understanding it, but start with a simple idea and work your way to developing some Math to describe it! I had a pretty fun time figuring my way around Rate Of Change in graphs several years ago and it helped me a lot once I got to calc.
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"Proofs from the book"
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Define math problems.
Define fun.
Trying to understand real analysis is a problem and its fun.
On that matter, "real analysis" by rudin is my favourite.
Dessert it with some Measure theory and you will understand probability on a whole different level

Is science and physics becoming lazier?

It seems that way anymore, with concepts like dark matter/dark energy and string theory.

They just seem like attempts at plugging holes in formulas because scientists don't have answers yet. So, they act like these theories are true, and books are written about these ideas as if they're facts and journals treat these ideas as if they're real.

I noticed this with the planet 9 hypothesis in the news. Everyone is acting like there is a ninth planet out there, but it just seems like they were too lazy to...
>>
these plugging holes, are how the real patches get started on

you are right, we dont know what the fuck we are doing, our models are not strong enough

feel free to do better. oh wait, you cant even plug holes because youre retarded armchair scientist undergrad
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>>7801843
>our models are not strong enough

You mean our computation power is not strong enough. The sheer complexity of "real life" models makes numerical computation ridiculously time consuming and difficult, so we HAVE to stick with simple models for the time being.
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>>7801876
I think op is talking about models made from little /poor data.

No one says that the 9th planet (if thats what it is) is figured out . and any actual scientist will tell you that our current knowledge of anything past the moon that we havmt physically probed and studied is rough oversimplification s at best .

I mean we live on a planet that we know next to nothing (relatively) about.

Its not lazyness people just make hypotheses and try to explain shit .

>my phd supervisor is rarely in his office
>replies to my emails like once every 2 months
>literally don't know what I am doing
>supposed to sink or swim
>sinking

what do /sci/

i like my research (something to do with "room-T superconductors") but I'm just not the normie type here to figure out the secrets of the universe by just partying on friday's and smoking weed
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read some self help books and convert to psychology
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>>7801835
>working for hands-off guy and lost
You need to find post-docs and 'senior' grad students in the group and talk to them.

Find someone who knows more than you do and who is willing to talk to you about the most recent literature on a daily basis.

Find someone who has published with your boss and ask them how they brought the project to completion.
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>>7801835
>what do /sci/
Stop being weak. Swim, you goddamned faggot.

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Creativity is a byproduct of intelligence or is a complete different thing?
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>>7801829
>define creativity
>define intelligence
>compare
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>>7801829
it's a byproduct of intelligence and a complete different thing, those are not exclusive.

If you are creative, you are intelligent enough to see links where others can't really at first.
But if you're only "textbook" intelligent (forgive me for this expression), maybe you are limited by what you learned by thinking it's the ultimate truth and limitation. You know, the "if it's not already been done then it's stupid" kind of mentality, or the inability to step...
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Creativity and intelligence are intrinsically related. Neither are byproducts.

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So I was talking to a practicing medfag recently about her daily work and I came away with the conclusion that software could easily do most of their work. That does not mean they should be scared losing their work in the near future, because of strict regulations to tackle about responsibility and some people require human interaction, but I feel we are approaching peak MD fast.

It might be a bit counterintuitive, because doctors need lots of high level education and training, and they like to think it is a prestigious job, but her points were the following

1. People can identify common diseases and most can be treated with otc drugs
2. Where symptoms are ambiguous, you need to run some specific tests and evaluate their results
3.a you can either prescribe some drugs to the patient based on some preferences, like medical history etc
3.b send to a specialist for further

And these cover 90% of the use cases. It does not even need a complicated AI but a simple look up table.
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>>7801824
>>7801824
absolutely. 200 years from now, if global caliphate or world war III won't happen, people will just step into a box. the box painlessly takes a drop of blood, runs a couple of medical imagining procedures and will suggest a diagnosis/treatment based upon checking thousands of biochemical parameters in a fraction of second. 500 years from now, if ayy lmaos won't wipe out our cosmic dumpster-planet in a preemptive strike, there won't be any illness anymore.
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>>7801834
might be, but I'm talking about the next 10-20 years, and that the technology is already here.
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>>7801824

Shit, you don't need to do all that. As a medfag myself, if you can just make a program that does two things I'll buy it and install it in my office tomorrow.

> a machine that can diagnose patients with a viral chest infection and convince them that antibiotics won't make them better and them feeling better when they take them is just a coincidence

> a machine that convinces people that they don't need a test if the outcome of the test won't change the management or doing a test without a reasonable Bayesian pre-test probability produces uninterpretable results and useless false positives (e.g. people who get full body MRIs for no reason, screening with PSA, routine chest XR for no reason, etc)

Just doing that would revolutionize medicine and save the system tons of effort and money. Please, please, somebody work on this.

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>zika virus

Is this the fate of humanity? With the spread of mosquitos due to climate change, will the human species be split between cold-dwelling antarctic species and a tiny-brained hairless ape living in the hotter climes?
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>>7801821
I thought it was already the case
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>>7801821
>With the spread of mosquitos due to climate change
Mosquitos keep spreading because you stupid hysterics leftists banned the use of DDTs. Your retarded environmental policies create a vicious cycle of confirmation bias.
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>>7801894

>DDT

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1) What got you into science?

2) What keeps you going?

3) Why not something else?
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>>7801783
Was unpopular so I just picked up it at school

I want to prove to everyone I'm smart

No one is smarter than the physicist
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1. I dunno, I think I had it from early childhood, you know being curious about shit around me
2. It pays off more than anything else, somehow
3. I'm pretty fucking old to start something else, but at this point I do sciencey schtuff almost intuitively, so I even have enough free time to get bored
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>>7801788
how old are you?

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hey /sci/, I want to learn everything there is to know about designing aeroplanes. assuming basic high school knowledge how do I achieve my goals?
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>>7801724
major in Aerospace Engineering
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Complex analysis then fluid dynamics
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>>7801732
I'm looking for more of a self study plan, I should have specified.

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Life extension.
Current status?
What next?
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Current status: Meme
What next: Idk tbqh senpai
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>>7801680
Would love to look like a 8 yr old til I'm 80 desu
Where's the technology available to look as young as humanly possible?
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>>7801768
Try /a/

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here you go op
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>>7801675
>separate the 2 rings
Meaning break at least one C-C bond?
Oxidize the fuck out of the doubly benzylic carbon.

Of course this is likely to affect the amino groups too.
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Very small tweezers and a steady hand.

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Who the fuck does this guy think he is?
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>>7801673
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thanks /pol/
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>>7801673

I like pluto, and I like this senpai too.

I've been searching solar system planetary science in recent days, and this man is all over everything. Even keeps a great web page on solar system bodies with a daily date update tag, keeping him honest. Now I know that Orcus is, in multiple senses, the complementary body of Pluto!

>What used to take 2 hours, now takes all day.
>It took me 16 just to get to LA!

How fast was he driving /sci/? How far away does he live from LA?
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>>7801669
(e) There is not enough information to find the answer

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How close do you think we are to having neural implants available for the general public? Even just simple bionic eyes that overlay heads up displays over your normal vision.

Kurzweil says by the 2030s, but he might be a little optimistic even though he's been correct on a lot of things before.

What about you, /sci/? Would you go for one of these expensive surgeries to get an implant if it could give you eidetic memory or something similarly powerful?
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Who knows? I doubt anyone on /sci/ is working on the kind of nanotech advanced enough to give a definitive answer, so everything is just conjecture.
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Man, you are fucking stupid if you want Neural implants. What of someone hacks into them, or the government knows exactly what you are thinking at all times. Fucking scary man. And what if it short circuits or overheats and starts frying your brain (literally).

It's exactly like 1984.
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>>7801950
Almost every technology has the potential to be used for bad

If we all thought like you we would still be in the stone age

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