WIKIMIZATION

From Wikimization

(Difference between revisions)
Jump to: navigation, search
Current revision (18:26, 3 May 2026) (edit) (undo)
 
(43 intermediate revisions not shown.)
Line 1: Line 1:
-
<big>'''Chromosome structure via Euclidean Distance Matrices'''</big>
+
'''Welcome to &nbsp;<math>\mathcal{W}\imath\kappa\imath mization</math>&nbsp;:&nbsp;&nbsp; a repository and resource for all things Optimization.'''
-
The data represents the auto-correlation coefficients for gene expression of 3827 genes from the circular chromosome of E.coli across 49 different experimental conditions. In the data, the axis is ordered according the order in which genes appear in the E.coli circular chromosome with an arbitrary start and end point. The expression was smoothed at various resolutions to highlight spatial patterns at different scales. In this way the correlation matrices compliment eachother. Bright green indicates a correlation coefficient of +1 and bright red indicates anticorrelation, -1. It is assumed that the E.coli chromosome is structured such that genes which posetively correlate are close in distance within the cell, whereas genes which anticorrelate are far in distance. The exact relation is unknown but it would be interesting to try the alternate hypothesis to see what effect this has on the structure of the molecule.
+
We welcome articles, research, speculation, biographies, homework solutions, and definitions in mathematical Optimization.
 +
 
 +
* To '''edit existing material''' or make a new page in this Wiki, you must have an account.
 +
 
 +
* [mailto:service@convexoptimization.com Contact a Bureaucrat] to acquire an account.<br> Page '''Delete''' and '''Protect''' buttons and other advanced features are provided.<br>
 +
 
 +
* To '''make a new page''', '''Search''' for the exact title you have in mind. Then click on your title under '''Search results'''.
 +
** Or press '''Go''' with the exact title you have in mind. Then press '''create this page'''.
 +
 
 +
* You can simply type into a page as you would an email or blog, or copy your existing '''LaTeX''' replacing $ $ with <code>&lt;math&gt;</code> <code>&lt;/math&gt;</code> (''e.g.'', [[Farkas' lemma]]).
 +
** This Wiki understands '''HTML''' too; ''e.g.'', use <code>&lt;pre&gt;</code> <code>&lt;&#47;pre&gt;</code> to typeset a computer program <br>('''source code'''; ''e.g.'', [[Projection on Polyhedral Cone]], [[Candes.m]], [[Matlab for Convex Optimization & Euclidean Distance Geometry|Matlab for Convex Optimization]]).
 +
** For detailed '''instructions''' (equation typesetting, fundamentals, special characters, foreign language, diacriticals, ''etc''.), see [http://en.wikipedia.org/wiki/Wikipedia:How_to_edit_a_page How to Edit].
 +
 
 +
* You may attach your name to your work, or remain anonymous, or reference your own optimization-related material existing elsewhere.
 +
 
 +
* [http://www.convexoptimization.com/wikimization/index.php/Wikimization:About more...]

Current revision

Welcome to  LaTeX: \mathcal{W}\imath\kappa\imath mization :   a repository and resource for all things Optimization.

We welcome articles, research, speculation, biographies, homework solutions, and definitions in mathematical Optimization.

  • To edit existing material or make a new page in this Wiki, you must have an account.
  • Contact a Bureaucrat to acquire an account.
    Page Delete and Protect buttons and other advanced features are provided.
  • To make a new page, Search for the exact title you have in mind. Then click on your title under Search results.
    • Or press Go with the exact title you have in mind. Then press create this page.
  • You can simply type into a page as you would an email or blog, or copy your existing LaTeX replacing $ $ with <math> </math> (e.g., Farkas' lemma).
  • You may attach your name to your work, or remain anonymous, or reference your own optimization-related material existing elsewhere.
Retrieved from "http://www.convexoptimization.com/wikimization/index.php/WIKIMIZATION"
Personal tools