Let U be a simply connected domain with a simple closed boundary curve C oriented anticlockwise, and define g(w) for all values of w in the complex plane except C. Evaluate g(w) explicitly in terms of w.
I can't really understand what the question is asking, or how to get started. Any help?
Since the universe is actually 10^1220 bigger than the "known universe" (aka what we can see at this arbitrary moment in time because it has been able to travel the distance at light speed given enough time and taking into account the expansion of the universe)
The changes in morphology over time reflecting shifting lifestyles as species transition is interesting, as well as the uncovering of fire, developments and refinements in tool styles, the creation of art and music without precursors.
Not to mention rapidly expanding species distribution to all but Antarctica prior to the development of agriculture.
>>8283365 I have a mix of white and glass at the office, but none at home. Hoping to get a glass board in the near future, but a double-sided standalone, not mounted on the wall. They're super helpful for working things out, rather than dealing with a mess of failed ideas on paper, imo.
Hello /sci/, /x/ here. This poster >>>/x/18042942 is claiming he can use euler's formula to prove that anti-matter has an "inverse time component" meaning that it moves backwards in time. I have the suspicion that he is full of shit but I would appreciate it if anybody could look over it and tell me.
Who here meditates? I'm getting back to concentration meditation after a break. It killed every social overthinking but now my autobiographical memory went to shit because I don't think about the past.
I'm either asleep or awake though. I can't get much deep into it. Probably because a few minutes to half a hour a day isn't much, but I've done it on and off this year and I can't see stuff or lucid dream during a session. Not that I'm striving or expect to.
I've read about people who claim crazy shit cognitive-wise so... Comment too long. Click here to view the full text.
>>8283203 I don't know about "deep meditation", but sitting a while calmly really helps. For 15 minutes, just sit somewhere in the sun and watch the leaves blow in the wind and the insects buzz around the flowers. Don't think of anything else. Nothing about how you feel about it. Just what you see is all you are.
That really helps me. I don't know if that's meditation or what. But it's something that helps me stay grounded.
>I don't know if that's meditation or what. It certainly is. Tonight I spent 45 min in a half asleep, half awake state before actually sleeping. Didn't get much out of it. Did not move though, only my mouth and eyes. Slipped in a few shallow dreams. I'm going to do this until I'm aware all night long.
Primitive terms: point, line, incidence(a relation between a line an a point).
Axiom 1: For any two distinct points, at most one distinct line is incident to both.
Axiom 2: For any two distinct points, there is at least one line incident to both.
Axiom 3: For any two distinct lines, there is at least one point which is incident to both.
If you're curious as to how we came up with this system, see http://pastebin.com/50w9MYjD, though the axioms have been modified and swapped from there. For... Comment too long. Click here to view the full text.
>>8282688 Jesus fucking christ this is the worst journalism I've ever seen. My IQ dropped just by watching it. Journalism is suppose to be unbiased. So many techniques used to sway your opinion against ramen that it'd make anybody's head spin.
I don't blame OP for hating ramen after watching this, but I gotta ask, how does it feel to be brainwashed with just 2 minutes of youtube?
>>8282356 How are you going to do calculus without a field to even do it on?
>inb4 what is a field
It is a set (like the real numbers) with two operations (like addition and multiplication) and some other special properties you don't really need to know about.
The nature of the field you are pretty much defines calculus in it. High school algebra teaches you, without proofs, the properties of the field of real numbers. Without that knowledge you literally cannot do calculus.
>>8282409 >I'm sure you believe maymays such as milk is good and meat is good They taste good, and that's all I give a fuck about. I'll continue eating red meat 4 nights a week and having a glass of 2% milk with every meal until I die.
I've been introduced to the Banach-Tarski paradox and the fact that an infinite sums apparently adds up to -1/12.
How can this be provable in strict mathematical logic but not hold up in the real world? What is the difference between the laws that govern our existence and the isomorphism's constructed with mathematics? Is the math wrong or is math not always applicable to the real world?
>infinite sums apparently adds up to -1/12 mathfags are so bored with their worthless useless non-practical degrees that they make up silly semantics tier bullshit and non-mathfags take them seriously.
Mathfags really needto find something to do with their lives.
So, I have been suffering for a year from a series of tiny little bothersome symptoms that have been fucking up with my life. After countless tests, doctors found nothing so they said it was most likely anxiety or stress, even though I showed none of the psychological symptoms. So I went on a trip to Asia and got rid of all the stress, but symptoms still fucked my shit up so I went to a doctor there and had an MRI done on my spine. They found two of the upper vertebrae were slightly displaced to the left. Hold onto your seats because this is the story of what happened when... Comment too long. Click here to view the full text.
Sounds like a shit doc given that they recommended a pile of discredited methods. Why do you keep seeing this guy and giving him money for spouting demonstrably wrong bullshit that is far form best practices? Seriously, who can call themselves a medical doctor and recommend homeopathic treatments without being a complete fraud?
Similar thing happened to me op. I got swimmers ear from a lake when i was in high school. I go to doc, they give me ear drops. After i finish the drops the shit comes back like 3 days later. This happens about 4 fucking times before suddenly my shits all swollen and the right side of my face won't work, i can't move it.
So i go to a different doctor and he tells me i never had an ear infection in the first place. He gives me viral antibiotics that do jack shit. He says the face weakness will go away in 4 or 5 days.
>mfw its been... Comment too long. Click here to view the full text.
What significant advances in medicine can we reasonably expect to occur in the next 10 years?
I'm not talking about huge breakthroughs like a cure for all cancers or something equally huge (unless there is something on that scale that seems likely to arrive soon); but things like new vaccines, new gene therapies, new cosmetic procedures, new organ regeneration / replacement procedures and the like.
>New Hydrogel Film Repairs Corneal Cells Cornea repearing cells. Its successfull in sheep corneas. they will start human trials next year. http://onlinelibrary.wiley.com/doi/10.1002/adhm.201400045/abstract http://www.freepatentsonline.com/y2016/0060392.html
The Japanese National Institute of Technology (RIKEN - budget ~$800m) is partnering with multi-billion dollar electronics giant Kyocera Corporation and biotechnology firm Organ Technologies to pursue human clinical trials for a new type of hair regeneration treatment, with clinical trials beginning in 2017-2018 and commercial availability targeted before 2020. This is possible because of new laws in Japan which substantially speed up the approval process for new medicines and medical technologies.
The treatment involves collecting a sample from a patient's healthy... Comment too long. Click here to view the full text.
Composer here. I have a bit of an interest in math, and recently I've enjoyed fooling with serialism and (musical) set theory. In particular with serializing rhythm.
Serialism is a musical technique where compositions are organized around tuples (I hope that's the proper term. They're "ordered sets" in music terminology, which in general conflicts horrifically with math terminology). These tuples represent a variety of things, usually pitches and intervals on the Western chromatic scale (for example the tuple (0,1,6) represents the pitches C,... Comment too long. Click here to view the full text.
>A new study from Stanford University could ruffle feathers in the medical community, as the researchers report that their newly developed machine learning algorithm can identify tissue slides exhibiting a specific type of cancer with far greater accuracy than human epidemiologists. It’s one of the first indications that computers aren’t just capable of addressing the “subjective” portions of medicine,... Comment too long. Click here to view the full text.
>We can't even define consciousness let alone even begin to imagine just how it works and how it came about. But we know its there. And we just can't ignore it.
My theory is that consciousness is a property of matter that is yet to be explored by science. Consciousness occurs when the right arrangement of quarks occur. It's nothing spiritual or outside the boundaries of physical laws. It just happens on a subatomic level that we can't yet understand the mechanics of it.
Was it ever viable? Will it ever be? Politics aside, I'm talking about the technical side of things.
>The red squares represent the area that would be enough for solar power plants to produce a quantity of electricity consumed by the world today, in Europe (EU-25) and Germany (De). (Data provided by the German Aerospace Centre (DLR), 2005)
>>8294937 Gravity is not something that escapes from blackholes. Gravity is not a "something", it is the result of the curvature of space caused by the mass of the black hole. It doesn't "travel" from the black hole, it is a result of the black hole existing. Understand?
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