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In quantum mechanics, what you can measure experimentally (observables) are given by integrals. You can do the integrals computationally, but then you only have an empirical understanding of how the observables behave when you change some parameter of your experiment.

In our experiments, we need to know how the frequency of an electromagnetic resonator will change when we couple it to a quantum system. We calculate these frequency shifts with integrals. Being able to calculate these integrals analytically for some limiting cases helps us understand the dependence on the parameters. And usually you can patch the limiting cases together and not even have to compute the integrals numerically.



J mostly looks good but [) looks almost like a fancy capital D which can be distracting and =# run together at smaller font sizes which is a little weird. Those are the only things that jump out at me but I did not look hard, overall I would say it is one of the better fonts I have tried for J.

The big problem that I am having with this font is that its narrowness makes it difficult to find a fallback font for APL/BQN that plays well.


good idea. since i don't code in J, can you supply a 2-3 line quintessential J example to demonstrate this?


Replace the middle manager


Here's python code to simulate one of the still-active doomsday predictions (The Limits to Growth)

https://github.com/TimSchell98/PyWorld3-03


I offer free beer in a comment in my arxiv tex source.


Compare specs on appliances


Read "kiln ruins" as a noun: the ruins of kilns. It's an amazing overlooked museum near Shanghai.


Random thoughts from physics researcher: - Too much imitation delays innovation. - For all the emphasis on high risk research, the system doesn't reward it. - Creativity isn't valued as much as it should be. - negative results and failed experiments hold back careers but are signs of attempts at innovation - the VC world may understand that only 1/100 projects will be novel and perhaps successful, but funding agencies don't


George Green, the baker, received one year of schooling and discovered Green's functions


syncthing for all my org files


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