Questions tagged [research]
For questions on the process and the impact of mathematical research, its accessibility to (new) researchers and its applicability in various fields. Do not use this tag just because your question is related to research you are doing.
271
questions
-3
votes
1answer
47 views
Essay Topic On Functional Analysis.
I am an IB student in year 12, I need to do a 4000-5000 word article that focuses on a particular topic however, I need some ideas to write about in my extended essay, I know some functional analysis(...
0
votes
1answer
24 views
Publication process and article formats [closed]
I have a few doubts about the publication process and article formats.
Suppose that I have developed a new technique to interpret phenomena that were investigated previously using standard methods.
...
0
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0answers
26 views
Research,Thesis: Is it valued or devalued to create a name for a notion when thinking it doesn't have a general name?
Is it valued or devalued (by a jury for example) to create a name for a notion when thinking it doesn't have a general name ?
For example , i'm working on sets E such that :
E is uncountable , ...
4
votes
0answers
64 views
Pre-requisites for joining Math Ph.D program [closed]
I entered M.Sc. math course with a dream of doing Ph.D. My grades were really good in B.Sc. course and I got in really good college for M.Sc. course. I was under impression that my basics are really ...
0
votes
0answers
36 views
Research topics in combinatorics for high school students.
I'm a 12th grade high school students. I was looking for some research stuff from combinatorics within my capabilities.
My background: I am introduced to olympiad mathematics. So I am introduced to ...
1
vote
0answers
62 views
If I am not going to be a professor, how can I continue mathematics research after graduation? [closed]
My goal for after graduation is to have some activities in which I keep up with both my interest in computer science and all things engineering, as well as my interest in pure mathematics. One or the ...
5
votes
0answers
154 views
Prove that there exists at least a form $g\left ( a, b, c \right )\pm f\left ( a, b, c \right )\left ( a- b \right )\left ( b- c \right )$ of $H$
With nonnegative cyclic polynomial $H$ as form $m\left ( a, b, c \right )\left ( c- 1 \right )\left ( a- 1 \right )+ n\left ( a, b, c \right )$ for
$$m\left ( a, b, c \right ), n\left ( a, b, c \right ...
0
votes
0answers
21 views
Where to find known bounds on expressions?
Example. In a problem I was working on, I had an expression of the form $(1-e^{-\alpha n})^{e^{\beta n }}$. I wanted to find an upper bound $f(\alpha, \beta, n)$ on this that makes it easier to see ...
1
vote
0answers
24 views
Freeman Dyson classified mathematicians as Birds and Frogs. Can you give some concrete examples how these types differ?
Freemans article can be found here : Freeman's article on Birds and Frogs
What is the difference between how a bird and a frog approach mathematics? Are there any textbooks or books in which the ...
12
votes
0answers
370 views
Need advice or assistance for son who is in prison. His interest is scattering theory.
My name is Dan Cunningham and the letter below is written by my son. I have been sending him text books and looking for answers on the internet to keep his interest up. He has progressed so far on ...
1
vote
0answers
67 views
How to find research interest?
As a math student, I often get confused about how to find a "research interest," a term that often appears in applications and elsewhere. I think it is almost impossible to pinpoint a single ...
2
votes
0answers
101 views
What are some possible PhD research areas based on these course pairs? [closed]
Update:
This question has been closed by the votes of 5 privileged users because it does not meet stackexchange's guidelines (it is considered off-topic). For questions about choosing a course / ...
4
votes
1answer
109 views
How far could you get in Graph Theory, whilst knowing almost nothing about almost all other fields?
Apologies if the content of this post is not mathematical enough and is consequently in the wrong place. For context, I graduated with my masters in mathematics about 8/9 years ago and then went on to ...
0
votes
1answer
57 views
I have derived a new formula for Ļ. What should I do with it? [closed]
I mean I know that I should publish it somewhere but have no idea about how to write it in a professional manner and where to publish it. Can anyone guide me?
0
votes
1answer
61 views
What are the current research areas in Differential Topology?
I am currently in my 4th year of a 5-year BS-MS course. I am majoring in Mathematics and I am quite interested in differential topology and would really appreciate if someone could tell me about ...
-1
votes
1answer
69 views
Any good undergrad analysis research problems? [closed]
I'm looking for some ideas for longer and more research type problems to do in real analysis. The coursework we get is not very demanding and it would be nice to have some longer and harder projects ...
0
votes
0answers
24 views
Could inverted catenary 'arch' be used to build bridges?
I want to know the difference between catenary applications for bridges. I know that there is something called bridge suspension. But what I want to investigate is bridges that are built using the ...
0
votes
0answers
27 views
Is Descriptive Complexity dead?
I recently started reading about Descriptive Complexity, the branch of Complexity Theory studying the logic languages needed to express complexity classes. The main milestone in the area seems to be ...
1
vote
1answer
48 views
Generalizing topological spaces
I was studying topological spaces having studied metric spaces. I guess the properties of open sets in metric space led into (in terms of open set) definition of Topological spaces. Although there are ...
0
votes
1answer
80 views
Help me decide if I'm ready or not for this research topic
so a bit of background info on me.
I'm a math grad student. My undergrad classes were mainly math-theory based stuff. I took Number Theory, Intro to Analysis, Intro to Abstract algebra, and such.
I ...
0
votes
1answer
32 views
How can I rewrite equations with conflicting indices?
I am writing a paper where I have to define theoretical background of the techniques I've used (I'm from the field of Computer Science). However, since I have little mathematical writing background, ...
2
votes
3answers
146 views
How is linear algebra used in research? [closed]
I'm currently studying linear algebra with a great deal of attention to its definitions and theorems, but most of the time it seems that the motivation is always in applied or computational ...
3
votes
3answers
101 views
Naturalness in mathematics
Why is math so natural to some people? Even trying hard to study with dedication, worrying about ideas and at the same time the technique, nothing for me happens naturally.
1
vote
1answer
46 views
Open questions in formalization of quantum theory
From time to time I come across the statement that the mathematical formalization of the mathematical instruments, which the quantum theory uses, is not complete yet (admittedly, more often in popular ...
3
votes
0answers
94 views
Examples of color in mathematical papers
A resource request. Do you have any good examples of color used in a mathematical research paper?
One example I've seen is here, in reference to tensor categories: https://arxiv.org/pdf/1612.02762.pdf
...
1
vote
1answer
55 views
How to read and understand the underlying mathematical concept about Data Programing
I was going through the official paper << https://arxiv.org/pdf/1605.07723.pdf>> Data Programming:Creating Large Training Sets, Quickly and came across ...
1
vote
2answers
94 views
An easy math paper to read for a high school student?
I am starting to learn about logic and, consequently, about proofs. I already knew that things have to be proven in mathematics, but I did not know that a high school student was able to do it. I ...
2
votes
0answers
89 views
How to determine your field of research?
This is probably going to be a long post, but its something I've always wanted to know and I believe many could profit from it. How do you determine a field of research?
Of course, this question can ...
1
vote
1answer
62 views
Research project in graph theory
im a senior computer science student and im really interested in graph theory and in some of its applications. I was wondering if anyone would be down to undergo a research project with me in the ...
2
votes
1answer
86 views
Study and research in computational number theory
I am an undergraduate student and i have completed courses like data structures and algorithms , discrete mathematics , elementary number theory (i have studied Burton's book completely), abstract ...
0
votes
1answer
66 views
What is the mathematical notation for dependency length calculation algorithm?
I'm doing a computational linguistic research in python programming. I have written an algorithm that calculate dependency length of any sentence, but I won't to describe it in a simple statistical ...
1
vote
2answers
88 views
What are the currently conjectures around symmetric group? [closed]
I am asking you this question:
What are the currently conjectures around symmetric group on research?
Indeed I am interested to work on unsolved problems concerning symmetric or alternating groups.
...
2
votes
1answer
94 views
Is there any other controller than PID Controller?
I have been given a Project to search for a controller having better transient response than PID Controller. I searched but I didn't find any research paper on it. All are talking about improving PID'...
3
votes
1answer
89 views
Active research on the subject of general topology
I've lately been told that the subject of general topology, like what Hausdorff and Kolmogorov dealt with, is a a dead subject research wise. I have been wondering however whether this is indeed true, ...
0
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0answers
51 views
Climate research and mathematics
I'm not sure if this question belongs here, but I want to try:
I Am currently working on my master thesis on the topic differential geometry and wave maps. My plan was to start my PhD studies in this ...
2
votes
0answers
38 views
What are the foundational papers of neural networks and how can I find them?
I am researching neural networks and would like to read some of the first papers that established and/or popularized neural networks. Neural networks crosses over between many fields, so I am looking ...
2
votes
2answers
67 views
Soft question regarding math theses [closed]
I'm currently in high school and I am wondering about how math papers a formated. In standard literature studies essays, we are told to "come up with" a thesis statement, present it in the ...
0
votes
0answers
34 views
Construction of $R$-graph semigroup from a directed graph
In the paper https://arxiv.org/pdf/1209.2578.pdf, Krieger is simply defining his notion of $\mathcal{R}$-graph. It is an object $\mathcal{G}_{\mathcal{R}}(\mathfrak{P},\mathcal{E}^-,\mathcal{E}^+)$, ...
0
votes
1answer
21 views
Construction of $R$-graph from a directed graph
Let $G$ be a finite directed graph with vertex set $V$ and an edge set $E$. In this paper https://arxiv.org/pdf/1209.2578.pdf, another graph is constructed from $G$ called $R$-graph by the following ...
0
votes
1answer
158 views
I want to read the 10,000 page paper on Classification of Finite Simple Groups? [closed]
I want to read the entire 10,000 page paper on Classification of Finite Simple Groups, however, I cannot find a copy anywhere on the internet.
Math Exchange Question: Can someone please link me to ...
0
votes
0answers
23 views
Arithmetic Satake Equivalence?
I was wondering if there is an arithmetical analogue for Satake equivalence? I'm looking for a topic to focus on for my thesis, and although I haven't been able to find any arithmetic analogue, I want ...
0
votes
0answers
30 views
Status of the Kunneth Type Standard Conjecture in the Case of Shimura Varieties?
I am interested in knowing the current status of the Kunneth type standard conjecture in the case of Shimura varieties - I am wanting to focus on this for my thesis, but I want to know if it has ...
1
vote
0answers
87 views
Open problems in Functions of One Complex Variable?
I am interested in complex variables, and only have knowledge for one variable, not several as of now... Regardless, I want to participate in some research... Do you guys know of any interesting open ...
1
vote
0answers
74 views
Is information theory out of fashion?
I struggle to find research/PhD projects that use the term "information theory" in their description. I wonder why. Fields that seem to me very related, like representation learning, AI, quantitative ...
0
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0answers
35 views
Reference Request for undergraduate research topics to do with polynomials
Iām an undergraduate and have done several courses on algebra and analysis and Iām looking for some research topics associated with polynomials in general, but that don't require lots of background.
...
4
votes
2answers
169 views
Are we still Researching the Foundations of Math?
To my understanding, most of math can be founded in ZFC set theory. And, because of Gƶdel, we can never really prove the consistency of ZFC and hence mathematics as a whole. My question is, are we ...
1
vote
2answers
112 views
Is Competition Problem on Constrained Inequality Relevant in Research?
Many inequality problems on variable $x,y,z$ or $a, b$ come with constraints such as $ab = 1,xyz = 1, x+y+z = 1$. For example, Let $a$ and $b$ be positive real numbers with $a + b = 1$ then prove that ...
2
votes
1answer
53 views
On simplifying large exponential equations
I'm working on undergrad research in fractal geometry and have to prove certain functions are decreasing, one of which is
$$g(x) = \frac{\left( \frac{2^m-2}{2^m-1}+ \frac{1}{2^m-1}\left(\frac{1}{2^m}...
1
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0answers
53 views
Mathematica legitimacy for research papers
I'm currently working on an undergraduate research project and am close to a paper/poster.
A portion of my work involves differentiating a large function, which I did in Mathematica. From there I ...
2
votes
0answers
46 views
Career in Mathematics as an Electrical Engineer [closed]
I am a university freshman with major in Electrical Engineering. My passion is pure math(topology, group theory etc). During my first semester I noticed that our math classes are not rigorous at all, ...
