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| bio | website | |
|---|---|---|
| location | Los Angeles, CA | |
| age | 17 | |
| visits | member for | 8 months |
| seen | May 15 at 9:02 | |
| stats | profile views | 76 |
Undergraduate Physics major at UCLA.
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Apr 26 |
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Can I use my powers for good? @DanB I think that game development is important to society, since it has the potential to spill out benefits into other fields. See math.ucla.edu/~jteran |
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Apr 23 |
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If $f(y)=ax^2+bx+c$, does this imply that $x=\frac{-b \pm \sqrt{b^2-4a[c-f(y)]}}{2a}$? I was skeptical because usually the quadratic formula is used for constants. I didn't know it could be used for variables, but I suspected that it would work for variables because variables are just 'varying constants' in the sense that we can build a graph of infinite relations between $x$ and $y$ by using the equation infinite times. |
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Apr 1 |
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What's the relationship between singular, nontrivial and linear dependent? Basic linear algebra question. Here's an explanation of points 1-4 of the Invertible Matrix Theorem provided in the answer: 1. $A^{-1}$ exists. 2. $A$ can be obtained from the identity matrix, $I$ by a finite number of row operations. 3. All columns and rows of $A$ are linearly independent. 4. "For a linear map $f:A \to B$, the kernel of $f$ is the set of elements of $A$ that map to $0$ in $B$. The kernel is trivial if it contains only the single element $0$ (which must map to $0$ in $B$ by linearity)." - Henning Makholm chat.stackexchange.com/transcript/message/8765408#8765408 |
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Apr 1 |
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What's the relationship between singular, nontrivial and linear dependent? Basic linear algebra question. What's a trivial kernel? |
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Mar 17 |
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Can $|-x^2| < 1 $ imply that $-1<x<1$? Lol, I get it. I just missed the step $|-x^2|=|x^2|$ |
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Mar 7 |
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Maximum total distance between points on a sphere analytical, I just want to understand the steps involved in solving the problem |
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Feb 27 |
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Fourier transform Here's another site to learn about Fourier transform betterexplained.com/articles/… |
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Feb 19 |
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High school mathematical research *to be honest I'm very skeptical about the article I put in the link above. (See physics.stackexchange.com/questions/28931/…) I don't know whether any high school student has actually solved any open problem before, but basically my point is that as a high school student you really shouldn't be looking for open problems to solve. (as far as I know) |
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Feb 19 |
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High school mathematical research You need to be at like Master's degree level (after undergraduate college) to tackle open problems. You really shouldn't look for high school level open problems, I don't think any exist. However, there have been exceptional high school student(s) who solved open problems in high school. (See educationviews.org/…) |
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Jan 30 |
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Approximating vertical probability distribution of double pendulum @ℝⁿ. I thought it behaved that way because assuming a completely inelastic(rigid) rod it seems to be behaving just like the videos youtube.com/watch?v=pYPRnxS6uAw Very violent at times, very smooth at times. |
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Jan 30 |
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Approximating vertical probability distribution of double pendulum @ℝⁿ., the source code of the program is available at "view-source:dllu.net/dp/"; (In Chrome; remove double quotes and paste it into search bar). I don't (and perhaps can't... yet. I'm a beginner) see anything wrong with the code, and nothing interesting happened when $M>>m$. |
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Jan 28 |
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Why does the integral of cot x have absolute value? The logarithm of negative numbers are imaginary numbers. |
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Jan 24 |
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Why does the integral of cot x have absolute value? I don't get it. The formal answers (the answer key of my textbook and the website link in my question) say the answer is ln sin x. The answers on this website say the answer is log sin x. How could ln and log be used interchangeabley? Is it somehow assumed that I know you are referring to $log_{e}$ and not just $log_{10}$? I understand that the natural log refers to ln a.k.a. $log_{e}$. |
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Jan 24 |
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Why does the integral of cot x have absolute value? Isn't it $sin x$ and not $csc x$? Thanks! I love the use of odd and even functions. |
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Dec 27 |
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Approximating vertical probability distribution of double pendulum Link: proteneer.com/docs/oproblems/P1-Pendulum.pdf |
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Dec 27 |
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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 |
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Dec 27 |
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Approximating vertical probability distribution of double pendulum A 2D double pendulum. The distance between each pair of pendulums is constant. |
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Dec 24 |
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Mind-blowing mathematics experiments @Adam here's the original (480p!) video youtube.com/watch?feature=player_embedded&v=wO61D9x6lNY |
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Nov 4 |
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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 $g'(0)$. |
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Nov 4 |
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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 |
