What effect would injecting massive amounts of morphine into the bloodstream have on a person?
Use Google faggot
https://en.wikipedia.org/wiki/Morphine
>>7970606
The "joke" is that the guy in OPs picture killed people by causing morphine ODs
>>7970609
Still faggot OP asked a real question not implying sarcasm
Even if it was he should GTFO with his shitposts
Hope someone could help me.
How can you obtain the eigenvalues of a matrix which has trigonometric functions as elements?
For example the matrix I show in the image (matrix A)
| cos(x), sin(x), 0 |
| -sin(x), cos(x), 0 |
| 0, 0 , 1 |
According to the equation
det(A - E*y) = 0
where A is the matrix above, E is the identity matrix, and y is the eigenvalues
if I get the determinant established by that equation then I got a cubic polynomial from whose roots I can get the three eigenvalues for the matrix A.
I already get to the polynomial as:
y^3 + [-2*cos (x) -1]*y^2 + [2*cos (x) +1]*y - 1
and I find in a solution book the answer for the eigenvalues as:
y(1) = 1,
y(2) = cos (x) + i sin (x),
y(3) = cos (x) - i sin (x)
But I don't have any idea on how to get to that answer in this case of a cubic polynomial with trigonometric functions. I don't even imagine how the answer involve the imaginary "i sin (x)".
If it's not trouble and someone can at least tell me about a identity, formula, or some good book or web page where I can find and easy explanation I would be very grateful.
Thanks in advance.
>>7970565
it is apparent from just looking at the equation that y=1 is a root because
[eqn][-2*cos (x) -1]*y^2 + [2*cos (x) +1]*y[/eqn]
clearly cancel.
I don't think there is a general rule to easily this kind of polynomial but I do think you're expected to be able to see obvious roots like this. The other two innolve solving a quadratic which is simple enough.
If worst comes to worst there is also the cubic formula for the roots of a polynomial but I'd avoid that.
Or you could just use a CAS...
>>7970565
You should be able to read of the first eigenvalue, just from the characteristic equation
(1-y)((cos(x)-y)^2+(sin(x)-y)^2)
And from expansion note that the polynomial is equivalent to
2y^2 - 2(cos(x)+sin(x))y +1 = 0
so if we calculate the quadratic formula we see that
[math]
\frac{2cos(x) + 2sin(x) \pm \sqrt{ 4(1 + 2cos(x)sin(x)) - 4(2)(1)}{4}
[/math]
and using some trig identities you can find that this should equal the other two eigenvalues.
Alternately you could observe that for any fixed x, the 2x2 contained in the 3x3 is just a rotation matrix, and solve like that.
>>7970602
Actually, the second method is surely the easiest. Since a rotation matrix has eigenvalue a+/-bi where a is the entry in the first column and b is the entry in the second column of the first row.
How could evolution explain such a complex metabolic extremely linked pathways
>not implying creationism OFC just having a critical view
I mean how could enzymes be created in the SAME moment and generation to make mutated said individuals have an advantage over others.
We know enzimes are proteins made of AminoAcids
The odds to create a full functioning CHAIN of enzymes are ZERO. Im sure of it?
What do you think /sci/ ?
*enzymes
>typo
>>7970448
>I mean how could enzymes be created in the SAME moment and generation to make mutated said individuals have an advantage over others.
Environmental changes.
>>7970457
But in order for example for glucolysis to work, you have to make ALL the enzymes of said pathway to be there, in same individual at the same time . Mutated in the right places at the right moment.
Wich is impossible if you ask me.
Hi /sci/, I was fucking around with GeoGebra (shitty math program) and wondering why pi has the value it has. So I decided to check the circumference/diameter-ratios of other regular shapes than the circle. I did this by taking the circumference divided by the longest possible straight line you can draw inside the shape. Obviously the values got closer to pi the more sides the shapes got, but why the fuck do they oscillate towards it?
>pic related, it's the values
>>7970187
GeoGebra ain't to shit man, I like it cause I can drag points where I want them so I can easily manipulate the experimental results from the lab giving me great lab reports :^)
>>7970191
nice, i guess the program is okay for geometry
>>7970195
It does a good job at fitting data as well. I don't think it can (or I don't know how to) plot large amount of data from a file, something like gnuplot's plot "whatever.dat" using 1:2 with lines
Hello, I was wondering if you guys had any good advice for learning many new words as quickly as possible. I would like to spend less time on memorizing words.
Visualising it, dont learn the translation.
>>7970172
Use Anki.
https://ankiweb.net/shared/decks/mandarin
>>7970172
Read fiction books (simultaneously reading translation in your native language on a parallel screen), m8. I have learnt English and Norwegian this way. Now I'm learning German.
/sci/, i'm really interested in neurosci, especially demyelinating diseases (CIDP and alzheimer's, specifically). for the sake of job security, i was thinking of minoring in biomedical engineering.
is this a wise choice? will scientists 20-30 years from now be able to focus on just the physical without knowledge of the digital, or should i get a headstart and be as adaptable to change as i can?
also, is python's future as the language for systems-integrated platforms a meme? is there any prodigal son out there who will be THE language for neural engineering or no?
this is an open topic, not an /adv/ thread
Major in comp sci then minor in neuroscience. Develop AI
Like do you have to be a neurosurgeon to study neuro science?
Its mandatory i guess i mean you need to know brain very well to begin with
Is there a situation where [math]a^2 + b^2 \neq c^2[/math]?
>>7970091
a = 1
b = 1
c = 2
>>7970091
In non euclidean space
>>7970098
the Pythagorean theorem requires that the triangle contain a 90 degree angle, does it not?
Are magnets fucking magic?
Why no coilguns yet?
>>7970061
>Why no coilguns yet?
The problem is not killing an enemy, it's hitting him
>Are magnets fucking magic?
No, just quantum mechanics. So basically yes its fucking magic
>>7970065
What's that about hitting or killing?
I'm interested in coil guns. I've been led to believe that even with an optimally timed series of coils, the acceleration drops exponentially with velocity, making it next to impossible to get fast enough to be effective.
Is there also an accuracy problem?
>>7970076
>What's that about hitting or killing?
http://www.globalsecurity.org/org/news/2005/050925-israel-bullets.htm
>I've been led to believe that even with an optimally timed series of coils, the acceleration drops exponentially with velocity, making it next to impossible to get fast enough to be effective.
I don't think so.
I am no expert, but I don't think there is any reason to not just use regular rifles. They are cheaper and easier to handle, have a higher firerate and I assume are more reliable
Hey /sci/ I have a hypothetical and I am dumb. Remotely viewing places and people without the apparent use of cameras. Purpose is surveillance of individuals and environments. How might this be accomplished technologically. Microwaves, X-rays, bouncing sound waves to build an image. Any ideas?
>>7970004
Depends on how far away "remote" is.
>>7970004
>without the apparent use of cameras
Just use small cameras and hide them
Just look up remote sensing.
Can a function like this be integrated? It definitely has a lower and upper bound on the total area enclosed by the graph.
yes! using the method of lebesgue integration
>>7969987
Depends. Are you talking about this Weierstrass function in particular, or non-differentiable functions in general?
Absolutely. In particular, the Weierstrass function has a trivial antiderivative that follows directly from the antiderivative of the cosine function.
it has to be incredibly small, i don't know much about biology, but I assume there isn't anything special about earth's mechanics of genetics
>>7969807
33.334%
It's more or less a game of luck.
Its either DNA or not DNA so exactly 50%
>>7970456
That is assuming these two odds are intrinsically equal which is not necessarily true.
>>7969742
I travelled to the HIV+ dimension via your mums brown hole
You should try it and report back.
>>7969746
If emf is a tupe of measure of energy, why is it called a force?
Fuckig ee's
Practic end.
Why do people think that current moves from positive to negative?
Answer: convention.
>measure of energy
no, potential
What's so difficult about this problem? Why can't you find 0 anyway?
Wait so was it really solved? I thought there would be bigger reception over it. Or is it just a Nigerian Prince tier scam?
>Having an imaginary exponent in a fraction in an infinite sum
>>7969487
If I remember correctly the problem had been solved before, but it was still pretty dificult
Check on a percentage calculator site and it will tell you 8,000 is 32% of 25,000.
Plug it in on a calculator and you get 212.5%. Wat.
25,000-8,000=17,000
17,000/8,000=2.125
2.125*100=212.5
Am I retarded?
>>7969461
>8,000/25,000 = 0.32
>>7969461
This is some Facebook-friend-from-10-years-ago level retardedness. Good bait.
>>7969462
Damn.
>Tfw stupid.