# Tagged Questions

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### RESEARCH Q: Finding the n-th derivative of the Quotient Rule

I am a sophomore at a community college so if my writing sounds a bit gibberish please ask for clarification. My goal is to find a sequence/series that can summarize the nth derivative of a $u/v$ ...
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### Pure mathematics research [closed]

What can a first year mathematics undergraduate, who wants to pursue research in pure mathematics, learn in 67 days that will help him in the future?
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### Advice on Research topics in Linear Algebra

I am a rising senior undergraduate student. I have taken following courses and I have an opportunity to do a project in Applied Linear Algebra at a fairly good Mathematics department. I am trying to ...
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### Understanding principal value integral

I'm reading the original article on distance covariance (link), and throughout the article the author uses the following lemma: Can someone please explain what he actually means by "principal value ...
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### Limit points of $\lbrace f(n) \rbrace$

In this paper On the Limit Points of the Sequence $\sin n$ the author proves that the limit points of this sequence are the real numbers in $[0,1]$. My question is: Are there other functions $f$ such ...
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### Dynamical system in a square

I am considering a problem that is asking me to explore a deceptively simple dynamical system and discover some of surprising properties. I want to consider the motion of four particles A,B,C and D in ...
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### probability of getting an erdos number once published [closed]

Can I know that I don't have an erdos number once I published, what the probability is of getting an erdos number with "random" coauthors or can I formulate the probability of having a finite erdos ...
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### Error Correcting Code and Graph Theory

I am currently in an introductory graph theory class, and we are supposed to give a short presentation by the end of the semester. Recently, I've learned (a very small amount) about error correcting ...
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### Recommended books that discuss the Fundamental Theorem of Algebra?

I've been assigned to do a project on the Fundamental Theorem of Algebra and in particular discuss it's proofs and applications. I was wondering if anyone could recommend books that would aid me in my ...
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I've recently switched into the mathematics department at my university preceding my second sophomore semester. My question is the following: What should I study over the summer to best aid my ...
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### How can I begin reading journals and papers?

I am an undergraduate CS student but I love Math and spend most of my time doing and reading Maths books. I realise that it's important to get into the habit of reading papers and journals so it will ...
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### Question about Bachelor thesis and future lectures. [closed]

I just finished my exams one day ago but lectures will already reassume in less than two weeks. I currently finished my 5th semester and will therefore tackle my last semester of my bachelors. But I'm ...
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### Undergraduate set theory research [closed]

What are some topics for undergraduate Set Theory research? And what are the prerequisites for such topics? I'm graduating next year, and I'm interested in Set Theory. I have been always interested ...
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### Inquiry about My Self-Study Plan for Real Analysis (associated with my undergraduate research) [closed]

S.E advisers, I am a college sophomore in US with a major in mathematics and an aspiring mathematician in the computation theory and cryptography. I recently got an undergraduate research in the ...
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### Researching in Mathematics [closed]

I am presently pursuing Engineering, but I want to make my career in the field of mathematics. How do I come to know of the specific topic in math in which I would like to research, in which I would ...
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### Problems from the Kourovka Notebook that undergraduate students can fully appreciate

The Kourovka Notebook is a collection of open problems in Group Theory. My question is: could you point out some (a "big-list" of) problems [by referencing them] presented in this book that are, ...
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### Collections of undergraduate research projects [closed]

I would like to compile a "big list" of undergraduate research projects in the following areas of mathematics: calculus; analysis; abstract algebra; linear algebra; number theory; geometry; ...
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A student of mine has expressed interest in doing an independent project next quarter with me. This would not be for credit and it is purely for her own educational stimulation. She wants to study ...
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### Recommended research topics for high school student

I am a high school senior and I am interested in doing a math research. I hope someone can recommend areas or topics of research that are challenging, rewarding, and yet do not exceed my capability. (...
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### Gap year to study math

This is a plan in its earliest and thus least concise stage, so either bear with me or don't read the following babble (I bolded some of the important stuff): I am a high school graduate who is about ...
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### How do you use reference books?

Reference books at the research levels often does not include any problem or exercise. While you can't read these books like novels(you normally need to work on other sheet of paper), I'm just ...
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### Does writing a bachelor thesis make sense?

I am a math student in my fourth semester. At my university, it is common to write a bachelor-thesis in the end of the bachelor program in almost all subjects while in the math undergraduate program ...
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I am currently an undergraduate junior. I have taken most of the standard undergraduate math courses and a few introductory graduate courses (measure theory, algebraic topology, complex analysis, ...
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### Topics on Number theory for undergraduate to do a project [closed]

Im an undergraduate in the mathematics field ..So i wanna be alittle more productive and wanted to do an essay or project mostly on number theory or Algebra(Rings or Groups) and i want to ask if you ...
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### Applications of Complex Numbers

For my Complex Analysis course, we are to look up applications of Complex Numbers in the real world. The semester has just started and I am still new to the complex field. I want to get a head start ...
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### How to stay academically active during a Mathematics Gap Year? [closed]

This year I started at the University of Cambridge to study Maths. I was very unfortunate to contract a serious infection early on in the term, and as a reult it has been mutually decided between ...