Recent content by kisengue
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Engineering Engineering Physics seems like a poor choice now
Thank you both for your answers! My specialization is scientific computing - I lack quite severely in "hard" engineering skills, except that I'm getting quite good at programming. Not even close to the programming skill of a comp.sci engineer though.- kisengue
- Post #5
- Forum: STEM Career Guidance
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Graduate Why does the cube root function have a discontinuous derivative at x=0?
Your question is kind of a non-question - your f(x) is not mathematically smooth, that is, it is not in C^inf. It is only in C^0 or D^1. -
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Engineering Engineering Physics seems like a poor choice now
Hello everyone! I am currently studying Engineering Phyics at Lund University in Sweden. I have one year left, which will give me a master of science degree with a specialization in simulation and scientific computing. Thing is, people have always been telling me that Engineering Physics is a...- kisengue
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- Choice Engineering Engineering physics Physics
- Replies: 6
- Forum: STEM Career Guidance
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What does the job of an Engineer actually involve?
I'm an almost finished engineer, and have started working (as an engineer) on the side of my studies. I do what the other engineers do, no more and no less. My discipline is engineering physics with a specialization in simulation (so lots of math and numerical analysis) and I work for a large...- kisengue
- Post #4
- Forum: STEM Academic Advising
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Graduate Weak convergence of orthonormal sequences in Hilbert space
The proof (sorry for not linking it immediately). Fredrik, I'm asking the first of those two - the second I understand. Micromass: I didn't think of that... but of course. Of course. Damn it. Now I get it, I think.- kisengue
- Post #4
- Forum: Topology and Analysis
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Graduate Weak convergence of orthonormal sequences in Hilbert space
So, I've found the result that orthonormal sequences in Hilbert spaces always converge weakly to zero. I've only found wikipedia's "small proof" of this statement, though I have found the statement itself in many places, textbooks and such. I've come to understand that this property follows...- kisengue
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- Convergence Hilbert Hilbert space Sequences Space Weak
- Replies: 3
- Forum: Topology and Analysis
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Graduate Norm equivalence between Sobolev space and L_2
Hello! I've found this paper, wherein page 33 states that the reverse Poincaré inequality gives \forall v \in H^1_0(\Omega) , \|v\|_{L^2(\Omega)} \leq C(\Omega) \|\nabla v\|_{L^2(\Omega)} This I can follow - it gives a norm equivalence between the norm of a vector and the gradient of its...- kisengue
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- Equivalence Norm Space
- Replies: 1
- Forum: Differential Equations
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Addition of forces acting on object
Oh... you're right, of course! That's helpful. But that only reverses the direction of my final unit vector, it still has the same magnitude... The problem is marked as "more difficult" in the book, and it doesn't seem all that hard so i guess there's something that i don't immediately consider.- kisengue
- Post #6
- Forum: Introductory Physics Homework Help
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Addition of forces acting on object
Hmm... the way I've done it thus far, and is described in my mechanics book, is to form the vector from A to B by subtracting A from B... so AB in the problem would be B-A=(4,0,0)-(0,0,3)=(4,0,-3), right? Or have i left something out? Also, how would this change the magnitude of anything? I...- kisengue
- Post #3
- Forum: Introductory Physics Homework Help
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Addition of forces acting on object
This should be simple, I've already solved several problems just like this one but it won't come out right however i try... apologies in advance for non-native english. Homework Statement In a 3-dimensional coordinate system, a hook is placed in A=(0,0,3). Two lines connect the hook down to...- kisengue
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- Addition Forces
- Replies: 8
- Forum: Introductory Physics Homework Help
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Are Trig Functions Odd or Even? Understanding Their Properties and Examples
1. You are not wrong. You have x^2sin(-x). But sin(-x)=-sin(x), and so x^2sin(-x)=-x^2sin(x). 2. f(-x)= (-x)3 + cos(-x) = -x3+ cos x = neither 3. (-x)sin3(-x) frankly i have no clue how to do that one. Again, sin(-x)=-sin(x)...- kisengue
- Post #3
- Forum: Precalculus Mathematics Homework Help
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How do I find the maximum compression of a spring?
This is indeed a problem of conservation of energy. As the crate collides with the spring, at some point all the kinetic energy of the crate will have been transferred to the spring. The mathematical expression for energy stored in a spring is E=ky^2/2 where k is the "spring constant" (don't...- kisengue
- Post #2
- Forum: Introductory Physics Homework Help