Recent content by amk0713

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    Nonlinear Dynamics: Nullclines and phase plane of a nonlinear system

    Homework Statement Find the fixed points and classify them using linear analysis. Then sketch the nullclines, the vector field, and a plausible phase portrait. dx/dt = x(x-y), dy/dt = y(2x-y) Homework Equations The Attempt at a Solution f1(x,y) = x(x-y) x-nullcline: x(x-y) = 0 \Rightarrow...
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    Programs Math minor looking for course advice

    Yes. I only need two more classes from that list to complete the minor requirement. I plan to go into medicine, but decided to minor in math out of interest and personal enrichment. Hmmm. For now I would like to study more applied math.
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    Programs Math minor looking for course advice

    Hello. I am looking for a little bit of advice concerning particular classes. I just switched my minor to math and need some information to help me decide on two courses. Which two classes do you guys recommend to take based on their general applicability to multiple other fields, overall...
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    Question regarding light clocks and time dilation.

    Thanks both for the quick replies. But what about in the case of actual clocks? Which of the two on ships A and B would read an earlier time if each can claim that they are moving and the other is at rest?
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    Question regarding light clocks and time dilation.

    Hello. I am trying to gain a more intuitive understanding of relativity, and hopefully someone may be able to help me. Suppose there are two light clocks on two different spaceships - ship A and ship B. If the two ships are moving past one another with a constant velocity, then an observer on...
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    Help With Work Conceptualization - College Physics 1 Student

    So in that sense, work is simply the transfer of energy into the object in question? The energy used by my arms in pulling (or pushing) in the y component is separate and dependant on a different system?
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    Help With Work Conceptualization - College Physics 1 Student

    Hi there. College Physics 1 student here, having a bit of trouble conceptualizing work, and would really appreciate a bit of help. It makes sense to me that work is simply the product of force and distance. However, when force is applied at an angle, why do we only take into consideration the...
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    Confused by an example in Brian Greene's book and SR in general

    But if both the clock and observer have their time slowed down by the perception of the other, then wouldn't that equal out and time would flow normally? And as for the twins; they are the same as the clock and observer. They are moving relative to one another.
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    Confused by an example in Brian Greene's book and SR in general

    Thank you again for the response, but... "It would be correct to say that an observer who observes a clock in motion will observe it running slow." Ok. Let's say the clock had some sort of sentience. The clock would also see the observer's blinking, breathing, etc. slow down. So who's...
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    Confused by an example in Brian Greene's book and SR in general

    Ah! That makes a little bit more sense to me now. Thank you. Just to test my understanding, would this sentence be correct: The "laws of reality" slow down time for everything in relative motion to, well, everything. I understand that this is meant to be a paradox, but because of this is...
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    Confused by an example in Brian Greene's book and SR in general

    Hi there. I've been reading Brian Greene's book "An Elegant Universe" for the sake of curiosity and one of his examples to demonstrate special relativity really confuses me about the entire concept. To start, this is my current understanding of SR, so please correct me if I am wrong: -The...
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    Asking to make sure I understand: Valence bond vs. Molecular Orbital theory.

    Hello. I am currently a freshman in college and finding the chapter on Quantum Mechanics incredibly interesting. Whether I decide to delve into this field is still up in the air, but I am having trouble fully understanding the concepts behind Molecular Orbital Theory and how it relates to the...
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    Why does the MO theory cause lone pairs to bond?

    Hi there. I'm new to the forums, a freshman in college, and mainly asking this for the sake of understanding. Why does the MO theory cause lone pairs to bond? For example, in the Lewis sturcture of O2 there are 2 pairs of unbonded lone pair electrons which makes sense since both oxygen atoms...
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