The vector [69, 69, 69] can moved to any point in R3 as vectors do not have a fixed position. Therefor, [69, 69, 69] can trace out all of R3. Therefor, [69, 69, 69] spans R3.
>>8004100
show me how to write an arbitrary vector in [math]\mathbb{R}^3[/math] in terms of a scalar multiplied by the 69 vector and I'll give you $100000000000000000000000000000000
>>8004110
[1, 1, 1] is an arbitrary vector
[69, 69, 69] / 69 = [1, 1, 1]
Can you set up a coefficient matrix to prove this?
>Be me, 18
>Always been shitty at math. Tried as hard as I could to get better at it. Dropped out of high school. Suffered from horrible anxiety about the future and where I'd end up.
>Always dreamed of being successful and overcoming all of my anxieties
>Dreamed of being someone.
>Being something great.
>Something that isn't shit.
>Literally have no idea what to do for the future, and have little confidence in my abilities to pull shit off in the future, but still have grandiose thoughts.
>"Oh I'm real smart blah blah blah -tips fedora- I'm so smart"
>Only thing I have going for me is a fast food job, part time.
>Atleast I overcame social anxiety kind of
-
>Fast forward a few months after getting job at fast food
>Start wondering what I should do to make a future for myself.
>"Well, I've always liked programming I guess. Maybe I'll get a job in CS."(Was programming for 3 years on and off before this)
>Go on /sci/ and take a look around
>See how horrible getting a CS degree would be for me, both debt wise, and time wise
>See how the only degrees worth getting are pure math or something else
>Realize that I don't have the intelligence to get pure math degree, or any degree worth getting in general
>Not only that, but have such low confidence in myself, I can't see myself being able to do a job I get that isn't simple shit
>Not even programming.
>My ego was knocked down from all this shit - and now I truly see how horribly stupid of a human being I really am.
>Envy people who are smarter than me, envy people who know all this shit I don't know
>Envy people who have the confidence to do things and be people
>I sit here, working fast food, coming home, and playing Planetside 2 all day
>I can't see a future for myself
>I can't BUILD a future for myself
>Literally nothing. Just black. I'm just here. No purpose.
Well, thanks for ruining what little hope and confidence I had left /sci/. Guess I'll be killing myself soon.
>>8003737
intelligence has nothing to do, just work try this CS degree and work hard
>>8003737
>playing Planetside 2
Here's your problem, at least play some good games
>>8003744
not OP, what is good game ?
What is the future of space travel? Is it ion propulsion, or NASA's rumored solar sails? Will quantum teleportation play a role? What's the answer?
>>8003251
>> ion propulsion
works today
>> solar sails
Nips did it.
>>quantum teleportation play a role
a very very iffy maybe and not in the way you'd think. There is a hypothesis that it is possible to quantum teleport energy, but you have to use classical communication to do it. And if you have classical communication, then you might as well just use it directly. IE instead of using lasers to perform some weird quantum voodoo, just go laser --> ion engine power.
Barring fucking antimatter, fusion propulsion is probably the best way to get around the solar system.
>>8003251
Meme drive
>>8003251
There is no future in space travel if you mean sending live humans to other star systems
If it was possible to send biological organisms faster than light to other systems we would have been visited dozens of times by now
There would be at least some evidence
>tfw your science teacher in high school said that "a theory is just a guess"
>>8003056
What's wrong with it? A theory is a guess with varying degrees of evidence towards that guess. Gravity and evolution have a lot of evidence, my cats are aliens theory doesn't.
>>8003068
Lol,no. A theory is a fucking fact that has been proved mathematically. That's literally the definition of it, but fucking reatards walking around think it means the layman version of a guess
>>8003068
I'm referring to scientific theories. My bad I should have specified
Hi /adv/.
I struggle with mathematics, because I've always had the feeling that I need to be able to figure out all the things myself. If there is an example problem in a textbook - perhaps even before the material of the example is explained - I try to figure the example out for myself with reading on. Often I find that I can't, and this discourages me from mathematics. It's like I have to reinvent the wheel all the time, because I tell myself that those who are great at math would have already figured this stuff out.
How do I overcome this feeling?
pls halp, I want to get into cool things like abstract algebra and special relativity.
>>8001042
You are doing it all wrong. Mathematics doesn't work with examples.
Let me tell you as I am majoring in mathematics so I think I have a better clue than you do.
Everyday professors come and draw shit on the board while they talk. I have my notebook with me but unlike my peers, I don't copy every single thing the professors say and draw.
I only pay attention to and copy: definitions, notation, axioms and theorems*
*I don't always copy the proof. I usually try to prove it myself and if I can't then I let it be and just copy what the theorem states, as I pay attention to the professor doing the proof, accepting my inferiority to him, as he can prove it but I can't.
I never, EVER copy examples, or pay attention to them. Lately I've been getting tired of this because as we dive deeper into set theory and other pure fields of mathematics, the professors feel the need to give like 5 examples of every concept they introduce because there is always the moron who won't get it in a million years. Fortunately this is the kind of degree where half the people fail by the end of the first year so next year only average and smart people will remain so this bullshit will stop.
Anyways, to sum it up. If you want to git gud at math then read and if you want memorize definitions, notation, axioms and theorems (lemmas and corollaries too, whatever, same shit).
You have to read them over and over until you internalize it. You have to feel what the theorem states in your heart.
When you have a true understanding of the core concepts, then you won't need examples because you will be able to work out everything yourself.
>DEFINITIONS
>NOTATION
>AXIOMS
>THEOREMS
>>8001059
That is a very interesting point. I was never good at math when I was a kid (actually, I fucked up pretty bad), but now I've found a huge interest in it. I just have the constant feeling that I'm not good enough because I don't get everything immediately. But, as you say, that is probably the wrong approach.
Thank you kind anon.
>>8001059
I'm the same way with examples, but you should never let the proof take a back seat to memorized theorems.
Understanding why a theorem was proved in a certain way is extremely difficult and eye opening, in most cases you will never figure it out on your own at first, but by following the methods used to do proofs you can internalize the methods and begin to apply them yourself.
Also:
Congratz op you will never make a first rate mathematician, go kill yourself
Can we talk about Ouchi Hisashi (and the other guy who died similarly)?
If you were the doctor in charge what would you do? How much pain did Ouchi experience? What can be learned from keeping him alive the way they did? What would've been the humane time to kill him?
Talk about whatever you want related to this man and the accident or similar incidents.
Good watch https://www.youtube.com/watch?v=TBK1JsApwp0
Asians are fucking soulless
>>8000184
You mean the most appropriately named man in history?
>>8000199
>>/pol/
How do you solve this problem analytically?
here's a less shitty pic
>>8002768
start with substitution y = x+1
x^y = y^x
ln(x^y) = ln(y^x)
y*ln(x) = x*ln(y)
y/x = ln(y)/ln(x)
Now, you cry.
exp((x+1)ln(x))=exp(xln(x+1))
=>(x+1)ln(x)=xln(x+1)
it's easy after that
I suck so bad at algebra. How would I even multiply this out? Trying to simply a problem to take limits.
>>7999944
Holy shit this had better be bait.
>>7999944
I'm getting 2 + 2/n - 8/n^3. Taking the limits to infinity, I get the limit = 2. I don't think that's right?
>>7999944
Seriously? No offense.
>>982750
Science can't even explain why we have gravity. We know what it is, but we have no idea why. I'm sorry, but until we can answer the basic questions of the universe, I believe there is more to existence than just being a bunch of chemical reactions and a sack of meat. We are conscious beings with free will that can create beautiful things man. Can science explain art or why I find it beautiful? I obviously respect science and believe it is helpful, but it is the whole scientism philosophy that is dehumanizing for me.
>Science can't even explain why we have gravity
Asking "why only makes sense if the universe has a" mind" of its own.
>I believe
K then
>Art
Well, there is some explanation as to why we prefer certain patterns, shapes and shades but it is still a young field. A Japanese A.I. managed to write a book on its own that passed to the final of some literary competition.
>>8004125
Art can never be prescribed to a science. Sure humans may prefer certain "shades and patterns", but that is meaningless as far as art goes. Explain why I find certain things beautiful, why certain things touch me: "Well you see, your right celebrum fires to the nervous chord and chemical react to give you a feeling". No. Humans are conscious being with free will, I don't care what we are made of, it's the whole bundle that counts.
>>8004135
I like vaginas because my free will told me they are beautiful.
TL;DR What is dark energy and dark matter?
>>8003870
energy and matter that we cannot directly detect but we can detect indirectly.
A meme created by Astrophysicists to hide the fact that they actually know fuck all about the Universe.
>>8003888
Or in other words, GOD
This shit is fairly terrifying.
Quick intro to what CRISPR is if you aren't aware: https://www.youtube.com/watch?v=MnYppmstxIs
It's basically a primitive form of gene editing that has exploded in popularity recently after a lab discovered they could hijack a protein called cas9 to cut DNA strands in two like scissors and insert their own genes into the strand. I'm a huge biology pleb so my understanding is fairly retarded here, but the implications and how people are reacting seem to remind me of SKYNET something.
>Scientists, including an inventor of CRISPR, urged a worldwide moratorium on applying CRISPR to the human germline, especially for clinical use. They said "scientists should avoid even attempting, in lax jurisdictions, germline genome modification for clinical application in humans" until the full implications "are discussed among scientific and governmental organizations".[36][143]
>This could have unintended and far-reaching consequences for human evolution, genetically (e.g. gene/environment interactions) and culturally (e.g. Social Darwinism), hence altering of gametocytes and embryos to generate inheritable changes in humans was claimed irresponsible.
>In February 2016, British scientists were given permission by regulators to genetically modify human embryos by using CRISPR-Cas9 and related techniques. The embryos were to be destroyed after seven days.[149][150]
Are we fucked /sci/? Or are we about to enter the wonderful world of genetically engineered super humans? The potential applications for this are mindblowing.
Off target effects is basically what called for the moratorium. The Chinese team was over-eager and rushed to embryo modification on a technology that was super inaccurate.
We still really haven't solved this inaccuracy problem so chill.
Also there is hella redundancy in biological systems so a simples control x + control v might not work here.
SUPERHUMAN WHEN?
what field can do this?
i want to breed humans have optimal traits for all kinds of sports, train them and have them win everything and bring my country and "coaching" to glory.
>ideal leg length + all high power fast twitch fibers + injury resistance + psychological genes to make them love to train and recover well= amazing sprinters
>breed man to have short arms and femurs, high test, high gH (huge joints), lots of fast twitch muscles, he'll set world records in powerlifting
IT GOES ON AND ON
>>8003798
>until the full implications
What the fuck does that even mean? It really sounds like a "I better cover my ass here" kind of statement.
How can I visually determine whether a 2D vector field has curl?
How can I visually determine whether a 2D waifu has a cunt?
If there's net clockwise or counter clockwise motion. Patterns 1 and 3 have curl.
By looking at it.
Ok, I've noticed something.
>learned python and was pretty proficient in it, used it to reinvent my own online regression libraries in matlab using numpy matrices etc for muh RNNS
> learned C/C++ because I needed more power
>Fast forward 3 years now in college;
>learned MATLAB
>a shitty python with indexing starting at 1 and some other weird shit
>surprisingly easy, mainly because you don't really do shit on the spot with it
>now taking intro Java class
Why is memorizing the Java API and all of its retardation so hard?
I understand exactly what is going on and cringe about it
>that nasty ass allocation
>muh pass by value
etc
but have to remember a cuckton of the Java API just to function
>muh boiler plate
>everything that isn't a basic type has to be an object
Literally only thing that makes me REE, is the artificial difficulty imposed by the Java API and the fact people believe OOP=memorizing the Java API
>tfw Java Class trying to make itself a weedout class
>you can code in various API (and soon Vulkan when I get the chance)
I'm understanding where codemonkeys come from now.
The real question; why the fuck is it hard for someone to memorize the standard library of a programming language and its functionality when it is supposed to be "higher level"; although technically more complex.
Why cant there at least be a C++11 course offered in schools and why is it so hard to translate to java.
I mean, you don't have to use pointers, even raw for that matter
>>8002227
well, your program is shit, that's why
really, there isn't much more to say. you seem to know what you're doing and specific language classes are shit
>>8002227
java is a very poorly-designed language that was written 20 years ago by an autist living in his mom's basement
> muh universal write once, run everywhere strat
seriously everyone hates java. companies still use java because 50% of the interweb services is written in java now
if you find java hard to live with better don't go into C++ it's an even worse mess than java
> muh "efficency"
go for c if you need efficency, C++ is a living bloated "segmentation fault" meme
Judging from your picture, you're bitching about 1331? I TA'd that course for years, and you don't have any reason to memorize the java API.
Is it a good idea to study physics?
I'm pretty good at math and I'm interested in physics so I'm considering studying it at university after the summer.
Would it be a good idea? I've heard that it's very hard to get a job if you don't qualify for a research program. Could I get a job for a company like SpaceX (something similar but less selective)?
>>7999512
>Is it a good idea to study physics?
No. Major in engineering and/or math instead.
>>7999512
if you ace all your AP physics and math tests and feel superior to everyone else at your school, you should go for it. Otherwise go into some type of engineering. If you aren't good with theory then you won't make it as a physicist, and that's okay. Some people are better when it come to applying their physics and math to the real world. You're gonna have to take a lot of the same core classes either way, the only difference is when you get to 300 and 400 level classes so you have time to decide.
>>7999524
Why is that?
After reading the Stern Report I do not understand how people could not want to reverse the effects of climate change.
http://www.theguardian.com/politics/2006/oct/30/economy.uk
>>8004184
because we can't, since it's a natural effect.
Literally who is against environmentalism and renewable energy research though?
>>8004242
corporations that rape the environment and profit
