What is a math concept or theorem that you wish there were a better explanation of?
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@futurebird hamiltonian math and matrix math
Good Lord those things make my brain hurt
@futurebird I can work in Hilbert space all day though
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@futurebird hamiltonian math and matrix math
Good Lord those things make my brain hurt
IDK about that hamiltonian, but matrices aren't so bad. Once you just accept them as linear multivariable functions... though I assume you are talking about something deeper than that.
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IDK about that hamiltonian, but matrices aren't so bad. Once you just accept them as linear multivariable functions... though I assume you are talking about something deeper than that.
I was introduced to it doing NMR stuff and I had just done intro calculus and being Greek would be an improvement. So obtuse to me
https://en.wikipedia.org/wiki/Hamiltonian_system -
I was introduced to it doing NMR stuff and I had just done intro calculus and being Greek would be an improvement. So obtuse to me
https://en.wikipedia.org/wiki/Hamiltonian_system@futurebird related, in a just world, I would have had my ADHD diagnosed and treated before my third year of med school. That would have helped immensely with rigorous math classes
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I was introduced to it doing NMR stuff and I had just done intro calculus and being Greek would be an improvement. So obtuse to me
https://en.wikipedia.org/wiki/Hamiltonian_systemYou need calc 1, calc 2 and probably multivariable (sometimes called calc 3) before you mess with this. This is differential equations.
This is when you write equations about rates of change and then solve them for functions or rates.
eg. "There is a function whose rate of change is equal to ten times it's value, who am I?"
It's not awful, but 'intro to calc' isn't enough at all.
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You need calc 1, calc 2 and probably multivariable (sometimes called calc 3) before you mess with this. This is differential equations.
This is when you write equations about rates of change and then solve them for functions or rates.
eg. "There is a function whose rate of change is equal to ten times it's value, who am I?"
It's not awful, but 'intro to calc' isn't enough at all.
@futurebird I was definitely too clever by half in a unique education environment
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@futurebird I was definitely too clever by half in a unique education environment
@futurebird I also got one hell of an education, so I'm grateful. I'm also critical at the deserved areas
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@Meowthias @futurebird if we lived in a simulation, somewhere, somehow, pi would be found to repeat, terminate, or crash the simulation with an unhandled floating point exception.
@llewelly @Meowthias @futurebird I don’t think this follows. There is no evidence that the true value of PI has (or could be) represented in our universe.
In particular, Quantum Mechanics has a smallest size that can exist, not to mention the various other limitations on measurement that are achievable. So PI will always be approximated in any physical system. Even if you think the universe is evaluating the true value of PI, I would expect QM measurement limits would is only allow you to observe an approximate value of PI. No different from what a finite simulation would be able to compute. -
What is a math concept or theorem that you wish there were a better explanation of?
It could be from arithmetic: Why is adding fractions so complicated?
From grade-school algebra: Why does the teacher get so sad and angry if I just √(x²+y²)=x+y
From the calculus: Why do I need to write dx with the integral?
or beyond.
@futurebird Sums. As in the functions that begin with a capital Sigma. But it's been so long (class of '97) I don't even remember what part I don't understand.
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@futurebird Sums. As in the functions that begin with a capital Sigma. But it's been so long (class of '97) I don't even remember what part I don't understand.
Do you program with "for" loops ever? If not no biggie, but if you do? That's what those are. They are "for loops" in math notation.
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@futurebird Sums. As in the functions that begin with a capital Sigma. But it's been so long (class of '97) I don't even remember what part I don't understand.
It occurs to me you may have been vexed by the analysis of infinite sums, which is another matter.
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It occurs to me you may have been vexed by the analysis of infinite sums, which is another matter.
@futurebird Like I said, it's been a minute.
I think that may be it, because it's part of why I found integral calculus so hard in university. I understood an integral of a function being the area under it's graph, so it's the sum of all the Y values along the X axis, and I could follow the professor working out the answer, but I couldn't figure out how to make it happen by myself.Mind you, I dropped out and tried a few other things until I discovered that I really like factory work, so grade 10 math more than got me by professionally.
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