What does the integral represent?

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Manni
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Hey guys I was trying to think conceptually and got a little lost. If R(t) represents the rate of volume per unit time what would it's integral represent?

My initial guess was that it represents the total volume over that interval of time but it feels incomplete, or even wrong.

Help?
 
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Try saying "total volume change" instead of just "total volume". Does it feel better now?
 
Yup, I don't know why I was questioning my definition so much. Thanks Dick :)
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...
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