Tricki
a repository of mathematical know-how

Sandbox

You can use this article to experiment with markup.

Testing LaTeX

We can have inline maths, like n \cos y and n \sin t.

y_1 = y_2

In other words again, x^2+(b/a)x=(x+(b/2a))^2-(b/2a)^2.

I'm trying to force this to look like a multline environment, with no luck \ldots

Q^{n,m,k} = \big( P_2(y_1,y_2,y_3)^n P_3(y_1,y_2,y_3)^{2m+3} + P_2(y_4,y_3,y_2)^n P_3(y_4,y_3,y_2)^{2m+3}      \quad + P_2(y_3,y_4,y_1)^n P_3(y_3,y_4,y_1)^{2m+3} + P_2(y_2,y_1,y_4)^n P_3(y_2,y_1,y_4)^{2m+3} \big)  \times \big( P_4(y_1,y_2,y_3,y_4)^k + P_4(y_1,y_3,y_2,y_4)^k + P_4(y_1,y_4,y_2,y_3)^k \big).

Try \begin{align} and \end{align}.

test

I'm just adding something to see whether it works, and then to see whether I can manage an inline comment.

I'm doing the same. I'm adding this sentence, so that I can then comment on how deeply unimaginative this sentence is.

Note iconContributions wanted This section could use additional contributions. Having some more examples here would really help. In particular, we could use an example that uses unimaginary numbers.

Quick description

Note iconIncomplete This article is incomplete. This article is missing large parts of what is required of a Tricki article.

Another commenting test.

A test

This is to see whether I can do nested "add"s.

Article 1 refers to Article 2 which in turn refers to Article 3!

Hmm ... seems not to work. But it should work now!

Wow – that's fantastic. OK I'll see how many levels of nesting there might be.

Article 1 refers to Article 2 which refers to Article 3 which refers to Article 4!

Thanks Alex – I've actually got a use for this ...

What about hyperlinks inside "add"s?

I wonder whether I could add a how to use martingales link here

That's fine.

Another experiment.

In the middle of a list, I want Article A

  • with a list
    • with headings and subheadings
    • and more subheadings
  • and another heading or two
, Article B, etc.

The next experiment is intended to demonstrate the lists/[add] bug. At least on my Mac, each time I expand and collapse again, I end up with a new set of arrows.

  • Article A
    • has Article B as a subarticle
A link: techniques for obtaining Estimates.

Sandbox

How does a bound of exp(c(log n)^{1/2}) ever arise?

Help pages

A link to a page on Wikipedia: History of algebra.

Exercise 1 Exercise test.
Remark A remark

Counting H-cosets. A.

Remarks The above remark is rather boring. Also, the exercise is more of a question.
Theorem 1 (Test theorem) Every continuous function satisfies the IVP.

Proof. Let \varepsilon < 0.

Theorem 2 The proof of Theorem 1 is valid.

Proof. See next theorem.

Theorem 3 It would be nice to be able to claim that x<y. But can I?

(It's all relative really)

Example 1: Test

 f^{\rho j} = -1

Example 1 illustrates a different kind of relativity.

Testing labels with hyphens in them:

 a^n+b^n=c^n (1)

Testing accents in links: Rényi

Heading 1

Heading 5

This is to see whether I can get an internal link to heading 5.

Link to heading 1

As far as I can tell, I'm copying the markup directly from what it says in the formatting page, but it isn't working.

  1. First

  2. Second

    1. Third

    2. Fourth

f'' = g'' = h''.

Comments

Inline comments

The following comments were made inline in the article. You can click on 'view commented text' to see precisely where they were made.

You can use it to experiment

You can use it to experiment with comments, too.

You can indeed!

You can indeed!

Inline comments

The following comments were made inline in the article. You can click on 'view commented text' to see precisely where they were made.

It certainly is incomplete!

It certainly is incomplete!

Inline comments

The following comments were made inline in the article. You can click on 'view commented text' to see precisely where they were made.

Reusing the unimaginative

Reusing the unimaginative sentence.

Inline comments

The following comments were made inline in the article. You can click on 'view commented text' to see precisely where they were made.

(No subject)

 4^{\text{th}} \quad f''''

Inline comments

The following comments were made inline in the article. You can click on 'view commented text' to see precisely where they were made.

Test comment.

Test comment.

Inline comments

The following comments were made inline in the article. You can click on 'view commented text' to see precisely where they were made.

Inline comments are cool

I need this feature for my Drupal sites!