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Undergraduate Physics major at UCLA.


Dec
27
comment Approximating vertical probability distribution of double pendulum
I would use the solutions to the usual 2D double pendulum to calculate the path for arbitrary m,M,l and L, and then 'compress' the path into a circular probability distribution (the circumference) and then make an equation describing the vertical probability
Dec
27
comment Approximating vertical probability distribution of double pendulum
A 2D double pendulum. The distance between each pair of pendulums is constant.
Dec
27
revised Approximating vertical probability distribution of double pendulum
added initial step
Dec
27
asked Approximating vertical probability distribution of double pendulum
Dec
24
comment Mind-blowing mathematics experiments
@Adam here's the original (480p!) video youtube.com/watch?feature=player_embedded&v=wO61D9x6lNY
Nov
18
accepted What's the relationship between singular, nontrivial and linear dependent? Basic linear algebra question.
Nov
4
comment Show that $g'(0)\neq \lim_{x\to 0} g'(x)$
Thanks! When finding the limit, we use the equation of $g(x)$ for $x\neq0$ but when using limit definition, we use $g(0)=0$ while computing $g'(0)$.
Nov
4
awarded  Commentator
Nov
4
revised Show that $g'(0)\neq \lim_{x\to 0} g'(x)$
added 107 characters in body
Nov
4
comment Show that $g'(0)\neq \lim_{x\to 0} g'(x)$
There's a chance that the question is incorrect because the textbook has a typo
Nov
4
comment Show that $g'(0)\neq \lim_{x\to 0} g'(x)$
The limit $\lim_{x\to0}g'(x)=2\lim_{x\to0}x \sin\frac1x-\lim_{x\to0}\cos\frac1x$ doesn't exist but the limit $g'(0)=\lim_{h\to 0}\frac{g(0+h)-g(0)}h=\lim_{h\to0}\frac{g(h)}h=\lim_{h\to 0}\frac{h^2\sin\frac1h}h=\lim_{h\to 0}h\sin\frac1h\;;\tag{1}$ exists
Nov
4
comment Show that $g'(0)\neq \lim_{x\to 0} g'(x)$
It seems to me that $g'(0)=\lim_{x\to 0} g'(x)$ so I can't prove $g'(0)\neq \lim_{x\to 0} g'(x)$
Nov
4
comment Show that $g'(0)\neq \lim_{x\to 0} g'(x)$
yeah it's 0.wolframalpha.com/input/?i=limit+h+sin+1%2Fh
Nov
4
comment Show that $g'(0)\neq \lim_{x\to 0} g'(x)$
If $lim_{x\to0}g'(x)=0$ and $g'(0)=0$, how could $g'(0)\neq \lim_{x\to 0} g'(x)$?
Nov
4
revised Show that $g'(0)\neq \lim_{x\to 0} g'(x)$
added 4 characters in body
Nov
4
comment Show that $g'(0)\neq \lim_{x\to 0} g'(x)$
Using Brian's equation, I find $lim_{x\to0}g'(x)=0$
Nov
4
comment Show that $g'(0)\neq \lim_{x\to 0} g'(x)$
Information on $lim_{x\to0}g'(x)$ wolframalpha.com/input/?i=limit+2xsin(1%2fx)-cos(1%2fx)
Nov
4
comment Show that $g'(0)\neq \lim_{x\to 0} g'(x)$
I think a mistake I made is I didn't use the limit definition yet, rather I directly computed g'(x) at $x\neq0$.
Nov
4
asked Show that $g'(0)\neq \lim_{x\to 0} g'(x)$
Nov
4
answered Determining diameter of parachute to obtain specific landing speed of a body, with Differential Equations