The structure of Substepr

Substepr pages have a characteristic structure. This makes it as simple as possible for you to extract the solution you want from the solutions that the community provide. It's designed to make collaborative, theoretical problem solving as easy to read as possible by giving you a single well-written document for each problem. As the work progresses you'll be able to clearly see the gaps in either the shared understanding or the shared solution and contribute content accordingly.

Title command

 * The title of each page is a command to be completed which concisely but precisely sums up the problem of that page.

Motivation
The motivation for coming up with a way of completing the task in the title or the motivation for actually physically completing the task in the title and therefore why the current page about that task is important. The motivation section should do at least one of the following:
 * Say why the task is interesting to humanity or to certain people or groups of people.
 * Explain the economic or financial value it would offer people.
 * Explain the scientific value of completing the task.
 * Explain what it would enable.

Understanding section

 * This first section consists of only relevant facts and deductions (and includes a detailed description and exploration of the problem).
 * Content in this section can only be phrased as facts and mathematical statements (not as commands). If stacked columns of mathematical statements (lines of working) are to be treated as extra facts then they should be shown here).
 * There is no strict structure here - free-form prose is used (sentences, paragraphs, subheadings and sub-subheadings).
 * Data and external evidence in the form of links or images are presented, described and analysed in the understanding section. This is open scientific investigation and deduction. Investigations may take place under title commands such as "Understand what causes x" or "Find evidence of y in the data produced by experiment A".

Method 1

 * Write every step or substep as a command in this section.
 * Write out every step of mathematical working as a verbal command (to explain your working from one line to the next).
 * 1) Step 1
 * 2) Step 1.1
 * 3) Step 1.1.1
 * 4) Step 1.1.2
 * 5) Step 1.1.2.1
 * 6) Step 1.1.2.2
 * 7) Step 1.1.2.3
 * 8) Step 1.1.3
 * 9) Step 1.2
 * 10) Step 1.3
 * 11) Step 1.4
 * 12) Step 1.5
 * 13) Step 2
 * 14) Step 2.1
 * 15) Step 2.2
 * 16) Step 2.3
 * 17) Step 3

Method 2

 * 1) Step 1
 * 2) Step 2
 * 3) Step 3
 * 4) Step 4

Quiz
A quiz to test your knowledge and understanding of the current problem page. This makes the problem page more engaging and it could provide you with problem-solving inspiration. Use this help page to find out about the wikicode for creating and editing quizes on Substepr pages.

Everything else

 * This contains free form text, images, code, artwork, interesting puns, observations, pointing out how a certain method could be reapplied to another application, ..., etc.


 * The difference between the everything else section and the discussion page is that the discussions are to be preserved there. The everything else section can have comments but once those comments are no longer relevant they will be deleted and will no longer be visible except in the page history.