Your hardest semester yet
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What's the hardest semester you've had and why was it difficult ? I'll start with mine (I'm now in my 3rd bachelor year)
Computer Science, 2nd bachelor year, spring semester.
Theory of computation : The teacher had no experience in teaching, this was his first year and he didn't seem to eager to do so either. The course covered many topics (set theory, graph theory, turing machines...) and every week we had graded problem sets where we were asked to provide proofs for difficult theorems on these subjects. The problem is many of us weren't familiar with these subjects and the teacher made no effort to cover the basics so it was an extremely time consuming and difficult course.
System oriented programming : This one was more dull than difficult,, the exercises were so boring a lot of people straight up skipped them and the graded sets were time consuming and uninteresting. It was one of those 3 credit courses that act like they're worth 6
On-chip architecture : This one was alright, mostly plug and chug
Reactive programming and parallelism : Alright now this one was horrible, every two weeks we had a new lecturer that covered a completely different subject, sometimes even in a new language we weren't introduced to, and our main language was Scala which is an overcomplicated mess.
Once again the graded homework were a bitch, but the exams were worse. In the final we had to program the game of life with actors in Scala, and this was like 30% of the exam that lasted 2 hours.
Probabilities and Statistics : This one was pretty good, the exercices were usually interesting and educative
Visual Computing : Pretty good as well, the biggest difficulty was that the lectures and the exercises did not cover the same matter at all, but other than that it was fine.
Humanities mandatory course : Whatever.
Requesting input from hobby or registered doctorfag
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Last summer, in August, my sister awoke in the middle of the night from a sharp pain in her left shoulder, covered in sweat. Shortly after that she fainted. In the morning she felt fatigued and fainted again.
One week after the incident she removed her nail polish, whereupon she noticed her fingernails had turned blue. Shortly after that some of them fell off when subjected to the slightest force.
The nails have since grown back, but she suffers from Onycholysis.
Doctors have no clue.
Any thoughts or input from you guys would be greatly appreciated.
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Can we back up a bit? I, sort of a newbie, but not really, want to ask about something that some newbie asked, but I can't remember for the life of me where it is.
It's true, if you look at the statement, "d / dx", it's saying that a small change in x changes the function following this by this much. Let the following function be and only be x^2 (and maybe others but having no greater than a power of 2).
By staying with the logic of this statement, what is stopping us from saying that a small change in x can be the increase of one integer under consideration by 1, and that if we were to take the difference of the two results of the function using x and x+1 (for example, 81 - 64), we can say that a small change in x (x + 1) changes the result of the function by 2x + 1, rather than 2x?
81 - 64 = 17
(2)(8) = 16
2x + 1 = (x + 1)^2 - (x)^2
It just happens to be a coincidence that the rate of change can be measured consistently with the second power. Why does this give us 2x + 1 and not 2x like calculus says?