Tricki
a repository of mathematical know-how
Add article
Navigate
Tags
Search
Forums
Help
Top level
›
Uncategorized
View
Edit
Revisions
Make everything roughly the same size
Title:
*
Area of mathematics:
*
A comma-separated list of areas of mathematics to which this article applies. Use ">" to tag in a subcategory. Example: Analysis > Harmonic analysis, Combinatorics
Keywords:
A comma-separated list of keywords associated with this article. Example: free group
Used in:
A comma-separated list of examples of where this technique is used. Example: Cauchy-Schwarz inequality
Parent articles:
Order
-1
0
1
-1
0
1
Body:
=== Rough idea of unwritten article === Often it is easier to deal with objects that are roughly the same size. If the range of sizes isn't too great, then we can achieve this by picking a large subset of the objects we have at hand, or partitioning them into not too many sets. For example, if the integers $a_1,\dots,a_m$ all lie between $1$ and $n$, we can partition them into at most $\log_2n$ sets such that any two $a_i$ in the same cell of the partition are within a factor of 2 of each other. This very simple trick is very useful, though it often comes at the expense of [[extra logarithmic factors]] in proofs. It would definitely be good if someone could write this article, and even better if they can think of a good way of classifying the article---it is not altogether obvious how to do so, as the basic idea is used in many different contexts. But how would somebody who needed it stumble on it in the Tricki?
This is a stub
A stub is an article that is not sufficiently complete to be interesting.
Notifications
File attachments
Changes made to the attachments are not permanent until you save this post. The first "listed" file will be included in RSS feeds.
Attach new file:
Images are larger than
640x480
will be resized. The maximum upload size is
1 MB
. Only files with the following extensions may be uploaded:
jpg jpeg gif png svg
.
Revision information
Log message:
An explanation of the additions or updates being made to help other authors understand your motivations.
Search this site:
Recent articles
View a list of all articles.
Littlewood-Paley heuristic for derivative
Geometric view of Hölder's inequality
Diagonal arguments
Finding an interval for rational numbers with a high denominator
Try to prove a stronger result
Use self-similarity to get a limit from an inferior or superior limit.
Prove a consequence first
Active forum topics
Plenty of LaTeX errors
Tutorial
A different kind of article?
Countable but impredicative
Tricki Papers
more
Recent comments
I don't think this statement
choice of the field
Incorrect Image
Article classification
Higher dimensional analogues
more