In my graduate program, I’ve experienced verbal abuse, witnessed academic fraud, and went to therapy. I’ve been fortunate enough to have the opportunity to drop out from this program, but concerned my colleagues are experiencing the same abusive behavior. I’ve been through my department’s chain of command. Faculty and admin I trust are telling me that I don’t have enough evidence and should be quiet. Should I quietly walk away?
I love to do integration, and I once came across this seemingly exotic function that comes up in integral[ln(ex-1)dx] and other related antiderivatives called a dilogarithm that I’d never heard of, but then I dug in deeper, and came to know about these things called polylogarithms, and that dilogarithns are just special cases of them. Is there any good source that I can learn from about them? I searched on the net and on YouTube quite a bit but didn’t find any useful learning material. All I could find were formal definitions and mathematically rigourous stuff that I couldn’t understand.
I learnt how to do this pattern in primary (grade) school so we never got told what it means or how it works. You take a piece of grid paper and go [Up]-[Right]-[Down]-[Left] repeatedly in the lengths, 1, 3, 2 until you get back to the starting point before it repeats itself.
In high school, I doodled them when I was bored and found that you can use more than just 3 numbers, but if it’s an even amount of numbers, it starts trailing off to a corner. If you use a larger amount of odd numbers, 9 numbers for example, you would go 1,3,5,7,9,8,6,4,2 (iirc) and repeat until you get to the starting point again. You’d get a squarish outside shape with patterns inside.
Till this day, I still don’t know what it’s called or how it works. Anyone do these before too?
I’ve noticed recently that research in fuzzy set theory peaked in around the early 90’s but has recently been lacking. Is there a particular reason for this? I personally find the topic pretty interesting (especially its applications in control theory) but this cloud of doubt regarding whether a paper being done in the area garnering citations is making me hesitant to pursue anything in it.
Greetings r/math, I’m 17 and about to start my last semester of high school. I’m taking or have taken all the math and science AP courses. I’ve been teaching myself group theory and multivariable calculus. I am absolutely in love with mathematics. Any advice on what to do once I get to college or before?
Please tell me where to look!
I was discussing the concept of multivariate optimization today with some people. I would think that the more things you are trying to optimize for, the less likely you are to find the apex. I was told that this was wrong, but it wasn’t explained. I have googled but i think my current google game is off. Can anyone point me to a blog, book, paper, etc that explains/proves why this thought is correct or incorrect. TIA.
Straightforward question: can the continuous approximation of the factorial function be written as a delay differential equation? Would the solution to this DDE, if it exists, necessarily be the gamma function?
For example, define:
f(x) = xf(x-1)
f'(x) = f(x-1)+xf'(x-1).
I’m an applied math and stats major, and so far I have found my only options with a BS is being an actuary or programmer. So I’m looking into grad school to get my masters, but I have no idea what this really entails. Is it just more generalized math courses like undergrad, or do you get to focus on a specific area of interest? If so, what are some of these areas, as I honestly have no idea what I want to do currently. I’ve also thought about going to a different subject like physics or engineering, but I figured I would not have the experience to be able to succeed in these topics in grad school.
Also how important are internships for grad school? I’ve applied to like 50 different positions and have had no luck.