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Questions tagged [online-resources]

This tag is for questions that are asking for online resources in mathematics (references, dictionaries, encyclopaedic collections, online tools, videos and lectures, etc), or asking about the mathematics behind tools and technology found on the internet.

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34 views

Is there a usable WYSIWYM math editor for MathML/XML similar to what LyX is to LaTeX?

It was suggested that I add this following background comment: I've been a Mathematica user since version 2. I have even written to Stephen Wolfram suggesting a front-end supporting my vision. I love ...
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1answer
32 views

Examples of applying Dirichlet's approximation.

I've seen many examples of Dirichlet's approximation being proven , or other questions regarding to the theory of the approximation on this site and others but I would like to see a concrete example ...
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0answers
49 views

Type theoretic counterpart of calculus of constructions?

The Curry-Howard correspondence connects the simply typed calculus with proofs in propositional intuitionistic logic. This correspondence can be extended between System F (polymorphic typed calculus) ...
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61 views

Advice for last year math undergrad.

I am in my last year math undergrad. I am taking theoretical statistics and a dynamic modeling course, and I need 2 more courses after these. While I received As in everything I did at a community ...
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1answer
122 views

Optimal estimator of Poisson distribution

As part of my homework, I was asked to solve the following: a signal and noise are stochastically independent and it is known that $n\sim Poiss(\mu_n)$ and $x\sim Poiss(\mu_x)$ we define $y=x+n$ ...
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1answer
33 views

Research areas/topics in Resource Allocation.

I want to investigate different models/theories/areas of research for problems in Resource Allocation. In general terms, by 'resource allocation' I mean problems that involve a finite amount of ...
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38 views

Online Permutation/Bijection Calculator

Does anyone know of an online permutation calculator (permutation in the sense of $S_n$)? I found one a while ago (I am pretty certain the website had the word "banana" in the title), but I can no ...
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86 views

Lecture Courses on Differential Geometry

I am looking for a first course on differential geometry. I want to use lecture notes as I often find these an easier way to get into the subject. I am not looking for book recommendations. Does ...
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22 views

Searching Math sources for equations

I sometimes see answers or comments on this site that suggest people have figured out good strategies for searching or organizing math results to find information on specific approaches or equations. ...
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1answer
26 views

Known Algebraic Structure(s) by Operation and Element Characteristics

Is there a known algebraic structure with two binary operations defined such that one of the operations behaves like multiplication (identity, distributive, commutative, and associative) and the other ...
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55 views

Good textbooks for Group,Ring,Field Theory

This is in reference to this:Good abstract algebra books for self study. I am an undergraduate student in Mathematics.I have studied Introductory courses in Ring Theory and Group Theory. I would ...
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1answer
122 views

A good book to learn graph algorithms

Can someone please tell a good reference to study algorithms in graph theory? I've studied sufficient graph theory in discrete mathematics and data structures courses, which included topics like ...
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80 views

Best topics to study in order to research geometric measure theory

What are the best topics (other than GMT itself) to learn in order to pursue research in the field of geometric measure theory?
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16 views

Sinusoidal decomposition of signal

I have some data of periodic nature. The curve seems to be slightly irregular, and it makes sense to consider it as the sum of two or more different sinusoidals. I'm asking for a source or tools ...
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34 views

Source for fundamental reduction theorem’s proof

Initally I was looking for chromatic polynomial, but everywhere I look, I see “using the fundamental reduction theorem” and no proof of them! Sorry if the proof is easy to find (or it’s supposed to be ...
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0answers
21 views

Does Wikipedia link from ‘quantale’ correctly? Residuated semigroups to residuated lattices.

From its article on quantales https://en.wikipedia.org/wiki/Quantale Wikipedia offers a link to ‘residuated semigroups’, but the link actually goes to an article on residuated lattices, https://en....
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1answer
103 views

Conway Notation for Large Countable Ordinals

I have not previously seen anything online that dives deeply into On: In Conway's notation On denotes the ordinal numbers (and No denotes the set of all surreal Numbers). Basically the elements of ...
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2answers
33 views

What are some good websites to read about the theory behind A-Level (high school) maths?

I am doing my maths A-level*. Often when I am at home I get questions about why we solve certain problem types in a certain way. One example is "why does completing the square work?" Is there a ...
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0answers
33 views

What is the Discrete Fourier Transform of a periodic sequence?

Shor's algorithm utilises the properties of quantum computers to find $r$ in, $$ a^r = 1 \mod n $$ wherein $r$ is even and $a^{r/2} + 1\neq 0$. However I haven't been able to find any resources in how ...
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31 views

Linear algebra: sources for most basic proofs.

I am taking linear algebra courses in this semester. I wanted to start my study but I stuck with these basic proofs: e.g. Determinant of block diagonal matrix $\det \operatorname{diag} (A,B)$ is $(\...
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48 views

Crash course in conditional probability?

I've taken some probability classes before, but it's been a while. I'm looking for (1) some resource -- website, paper, software, book -- etc on conditional probabilities. Something which accessible ...
2
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1answer
82 views

Fitch system, or alternatives?

Is there a good resource for how to understand the rules of a Fitch proof system, or an alternative? I'm currently trying to get a sense or how things are proved in natural deduction, which differs in ...
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0answers
53 views

Connection between regular elements of a Lie algebra and the Jordan normal form

I need a source fornthe following statement: If $\mathfrak{g}$ is a subalgebra of $\mathrm{Mat}_n$, an element $X$ is regular if and only if its Jordan normal form contains a single Jordan block for ...
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117 views

Mathematics: A Spectacular Sport. Are there (unscripted) vlogs of people actually doing mathematics?

Are there vlogs of people regularly attempting to solve mathematics problems, warts & all? I haven't found any. I know of puzzle-attempt YouTube channels, like CanChrisSolve?, so why aren't ...
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1answer
38 views

Free on-line course of Statistics

I am interested in learning Statistics, but I am unable to join any regular course. Please, advise me how can I do any course in Statistics online myself, and free if possible. Thanks!
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2answers
67 views

What is a good resource to understand “Branch Cut”.

I read the book of J B Conway for Complex Analysis. I don't have clear concept about "Branch Point" and "branch cut" of an analytic function. And this topic is not discussed in Conway's book ...
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2answers
152 views

Multidimensional chain rule, online calculator

I would like to check my solutions for the derivative with the multidimensional chain rule, and I would like to do that online with a calculator. But I can not find one and I do not know how to use ...
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0answers
47 views

Representation of finite groups up to isomorphism. [closed]

Q1) If it is mentioned something like "a group $G$ consists of $p^2$ conjugate subgroups of order $q$" (as an example), is there a possible way to represent $G$ as isomorphic to some group by using a ...
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0answers
51 views

Is there a good resource for information on infinite double series?

I’m trying to understand them more and neither Wikipedia or Wolfram MathWorld is helping too much. For instance, what tests for convergence of infinite double series are valid, rules for them, ...
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1answer
65 views

What is the difference working in $L^2$ and $C^2 $ for Fourier series expansion of functions?

Once one of my lecturer said that if we worked in $L_2$, the complex inner product $$(u,v)=\displaystyle\int^L_0 u\ \bar v\ dx $$ works flawless for Fourier series, instead of working in $C^2$. ...
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0answers
94 views

How to find a research question and relevant materials [closed]

I am a PhD student working in Spectral Graph Theory. Can anyone please help me solve the following questions: How to find a research question?I contacted my advisor,he says he does not know how to ...
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0answers
31 views

Is there a branch of mathematics wich relates functional derivatives and functional integrals? Looking for resources

Reading different topics of physics I ended with the fascinating topic of functionals, functional derivatives (In the context of Euler-Lagrange equations) and functional integral (From Feynman's path ...
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1answer
70 views

Help needed understanding Iterated Limits $\lim_{n\rightarrow \infty}(\lim_{m \rightarrow \infty} a_{mn})$ and …

Let $a_{m,n}= \frac{m}{m+n}.$ Compute the iterated limits $$\lim_{n\rightarrow \infty}(\lim_{m \rightarrow \infty} a_{mn})$$ and $$\lim_{m\rightarrow \infty}(\lim_{n \rightarrow \infty} a_{mn})$$ My ...
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152 views

Implementing algebraic structures in code

There are quite a few computer algebra systems: MAGMA, Singular, Maple, Macaulay2 are just a few that come to mind. I've been interested in how these programs implement structures such as fields, ...
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0answers
40 views

Great math oriented statistics blogs

What are some great math oriented blogs about statistics? There is , I don't doubt that, a plethora of stunning blogs about statistics but they usually focus on applications of statistics to reserach ...
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0answers
233 views

Where is Chap. 9 in Baby Rudin taught?

I'm (once again after February 2015) reading through Chap. 9 of the book Principles of Mathematical Analysis by Walter Rudin, 3rd edition. This chapter is on differentiation and integration of ...
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0answers
22 views

N-Urns N-Color ball modelling as Markov Chain

I am trying to model a system which can, mostly, be simplified to elements of different groups changing groups among themselves. I want to understand how frequently the elements change group and how ...
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2answers
56 views

How do I solve this system of non-linear differential equations?

How do I solve this system of differential equations? \begin{equation} \frac{d^2x}{dt^2}+2\frac{1}{y}\frac{dx}{dt}\frac{dy}{dt}=0 \quad\quad \frac{d^2y}{dt^2}+\frac{1}{y} \left[\left(\frac{dx}{dt}\...
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0answers
44 views

Problem books that combine various high-school level fields? Or more generally ways of staying mathematically fit through daily exercise [closed]

Motivation: Both out of my interest of the subject, and as a way to save up time at later dates for other purposes, i have pre-studied my high school's math curricilum, plus more. Currently i'm trying ...
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1answer
163 views

Corrected trapezoidal method resources

I have been reading about the various numerical analysis methods for integrals, and I came across a mention of the "corrected trapezoidal rule", which I googled and found rather little about - mostly ...
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48 views

Stewart Multivariable Calculus Online

If this should be in META, please let me know. Does anyone know of a good set of online videos / worksheets that follows Stewart´s Essential Calculus Early Transcendentals 2e, specifically the ...
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1answer
33 views

How does adaptive whitening work?

In the Equivariant Adaptive Source Separation paper I am wondering what the intermediate steps for eq. 23 on page 5 are? I am not sure where to even begin with this and haven't been able to find any ...
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0answers
39 views

Tools for Visualizing Derivatives As Density

The Desmos application can be used to visualize and experiment with the standard, graphical presentation of derivatives (https://www.desmos.com/calculator/4pf1dxxzq2). This alternative, "density of ...
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15 views

Encyclopedia of Automata Types

Wondering if there exists a comprehensive list of automata types (finite automata, tree automata, register automata, etc.). Something along the lines of Encyclopedia of Proof Systems. Or just ...
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0answers
30 views

Sum of product of two-three binomial coefficients (reference-request)

I am looking for a source (internet site, book), where the sum of product of two-three binomial coefficients is considered theoretically and practically. I am aware of the basic identities (...
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0answers
21 views

Relevant resources of reduction algoritm Generalized Mersenne primes, Proth primes, Fermat primes and Barrett reduction algorithm with sample examples

I want to get some resources about reduction algorithm of Generalized Mersenne primes, Proth primes, Fermat primes (lazy reduction) with sample examples and Barrett algorithm with sample examples. I ...
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1answer
30 views

Jordan Form - Online Resources

Can anyone recommed a good resource (preferably video lectures) for learning the theory and algorithm of jordan form? I can only find videos that cover it very roughly.
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8 views

Quasi-invariants of Coxeter groups

I'm trying to get to grips with this topic, and am currently trying to make my way through the paper by M.Feigin and A.P.Veselov. Whenever I'm learning about a new subject, I like to be able to read ...
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29 views

Database of chromatic polynomials for connected graphs

According to OEIS A001349, there are 11,117 distinct connected graphs on 8 vertices. I would like to collect information on the chromatic polynomials of these graphs. One way to find these polynomials ...
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40 views

What set ebooks or evergreen online resources is sufficent for self-study of the topics in an undergraduate math program?

What set ebooks or evergreen online resources is sufficent for self-study of the topics in an undergraduate math program? There are many lists on stack exchange, but they invariably include physical ...