Kaprekar Series

2005-07-13T16:07:00.000-07:00

on dmozKaprekar Series Generator is listed on dmoz now! It is in the category Top: Science: Math: Number Theory: Software. Dmoz is the Open Directory project - it is the largest human-edited directory of the Web.Technorati Tags: Blog, Kaprekar, Number Series.

2005-05-03T14:49:00.000-07:00

Integer SequencesI was rummaging through the web log of the Kaprekar Series Generater project site to remove http log spam - while working on a Web Path software ... and noticed that KSG is linked to from the AT&T Online Encyclopedia of Integer Sequences.Technorati Tags: Blog, Kaprekar, Number Series.

2005-01-14T21:24:00.000-08:00

Kaprekar 3.0 Released There are two main changes in this release - a) Parameterized the classes based on Java 5 and b) Added a pause and resume option. The pause and resume option holds only for the current run of Kaprekar. I plan to allow a "save state" feature in a future version where the user can save the current state of the Kaprekar run in a file and exit the application. Later, the user

2004-10-28T13:56:00.000-07:00

Kaprekar 2.2b Released version 2.2b of Kaprekar Series Generator yesterday night. This is more of a code refactoring release. The code was changed to be more modular. The serialization, SVG generation and statistics code had crept into the Kaprekar Engine. I extracted those into separate classes - this also fixed some cut-and-paste code. The only bug-fix in this code is for the progress bar in

2004-07-11T19:44:00.000-07:00

Graphs in Playing with Numbers Before plotting the graphs in the Playing with Numbers and before even gathering the data required for them, I listed out some of the possible graphs that I could plot. Some of these graphs did show up in that article. Some are yet to be plotted and some I did plot, but didn't like the output. Here's the list: 1. Plot Number of patterns (y-axis) against #digits (

2004-07-03T14:27:00.000-07:00

CSS Valid Ensured that the CSS used for the Kaprekar Site is valid and added W3C's CSS-valid icon.

2004-07-03T13:55:00.000-07:00

Glossary Added a Glossary to the Kaprekar site.

2004-07-01T12:13:00.000-07:00

Bread Crumb Trail. I've been thinking of adding a Bread crumb trail on the site. Still debating if this trail should be dynamic (i.e. a true trail of the pages that the user accessed) or a static one (hard-coded on the page itself).

2004-06-24T15:08:00.000-07:00

Glossary: Definition Lists. I was wondering what was the appropriate tag for the glossary. Most people seem to use tables for their glossary - but thats not the most appropriate tag. I feel that the Definition List tags should be used for presenting the glossary. So the html will look something like this -

Glossary of Terms

Kaprekar Constant: A number that

2004-06-24T08:25:00.000-07:00

Glossary. I feel its time to add a Glossary to my project pages.

2004-06-20T17:08:00.000-07:00

Coloring the ends. Been trying to color the ends of a line (in SVG) with the minimal amount of code. I asked in the svg-developers group and the w3c svg group, but didn't have much luck in either of the places. I cracked the problem today. All I needed to do is to use markers!!! So back to KaprekarCircle now!

2004-06-19T17:05:00.000-07:00

Kaprekar Site: XHTML Valid! The Kaprekar Site is XHTML Valid now! I was debating if I should give a link to the w3c site by adding the w3c-validate image with the link. Then thought, what the heck, I'll give it anyway. :)

2004-06-19T16:17:00.000-07:00

Kaprekar Site: Making it XHTML Valid. I'm nearly through with making the site xhtml valid - there are only three pages on the site that are not valid as of now. I finally decided to remove the target attribute of the a element. A sacrifise to make the site valid.

2004-06-19T15:41:00.000-07:00

Kaprekar Project: Original Description. Placed the description of the project I had submitted for registering the Kaprekar Series Generator on Sourceforge.

2004-06-19T15:09:00.000-07:00

Color Photograph of Kaprekar. Found a color photograph of D. R. Kaprekar on the net.

2004-06-19T15:00:00.000-07:00

Kaprekar Site: Old html pages. I saw some of my old html pages still turning up on search results. I wonder how long it would take for them to be purged from the google index. All the new pages are php pages and the old ones have been converted to php pages. I had put the nofollow and noindex meta tags to the html pages; added the noarchive tag too today.

2004-06-17T09:46:00.000-07:00

Kaprekar 2.1b Released. Released Version 2.1b of Kaprekar yesterday night. The main changes include removing dependency on the Ganita package (Huge and Number classes). So now the Demonstrate process usese BigInteger - and consequently can handle numbers with any number of digits! Also changed the algorithm a little bit to improve the performance while seaching for Kaprekar Series.

2004-06-16T12:01:00.000-07:00

Bots on my site. Have been seeing a lot of bots lurking around in my kaprekar site ... plan to add a page, mainly for my reference, of a list of bots found on my site with a description about them. Right now there are around 10-15 of them.

2004-06-12T16:26:00.000-07:00

Kaprekar Site: XHTML Compliance. Slowly moving towards making the Kaprekar site xhtml valid. The biggest culprit was the

tag. Out of years of habit, I hadn't closed any of them. Removing this problem reduced the number of validation errors to the minimum. Another one was the use of the < sign in the proofs without escaping it to < Right now there are only a few issues to be solved - 1.

2004-06-09T18:05:00.000-07:00

UML SVG Introduction. More modifications to the Kaprekar site. Added an introduction to the UML SVG documents. Added floral white background to the pages. Underlined links - so that its apparent that they are links.

2004-06-06T16:14:00.000-07:00

Print media CSS. Modified both the Kaprekar and Matra web sites. Added a separate CSS for the print media. Now the navbar and ads won't print - which you fire a printout - so only the content will be printed. Added Google search and ads on the site.

2004-06-03T09:55:00.000-07:00

Kaprekar 2.0b Released. Released version 2.0b of Kaprekar Series Generator. The main changes in this release includes addition of a Gui interface to the application and processing of hexadecimal numbers. Other changes include a few minor bug-fixes and changes to the algorithm.

2004-05-27T08:24:00.000-07:00

Kaprekar Site: Added Proofs. A few more updates on the Kaprekar site: Added the proof on the divisibility of Kaprekar Series numbers in any radix r. Added the Kaprekar Series for 11-digit to 20-digit numbers to the site. Added the Kaprekar Series for 2-digit to 10-digit hexadecimal numbers to the site.

2004-05-24T09:50:00.000-07:00

Matra Site: Modified. I modified the Matra project site along the lines of the Kaprekar project site ... and it was a breeze! The whole change was done in an hour or two! So the Matra site no longer has any frames and still retains a navbar - a dotted one that doesn't have the no-scroll problem. The site uses CSS. An the pages are php based. I reused the tempate and CSS from the Kaprekar

2004-05-22T13:14:00.000-07:00

Kaprekar Site: Tested. I tested the Kaprekar site on Win ME (Firefox 0.8, IE 6.0), Win XP Pro (Firefox 0.8, IE 6.0) and Red Hat Linix (Mozilla 0.7 and Konqueror 2.1.1). The site behaved normal ... hopefully should be the same using other browsers. If you encounter a problem, lemme know. It didn't seem to work too well on Amaya ... will check on that.

2004-05-21T21:52:00.000-07:00

Kaprekar Site: Fixed Link problem. I fixed the link problem (in the Kaprekar site). Now the W3C link checker reports no problem! Also validated my CSS stylesheets against the W3C CSS Validation Service. Also, added the change history to the site. Have a long way to go for xhtml compatibility.

2004-05-21T10:45:00.000-07:00

W3C Link Checker. Checked the Kaprekar site using W3C Link Checker. Found a couple of unnecessary redirects (it was pointing to the older cvs site) and found one 404! Will fix them soon ...

2004-05-21T08:23:00.000-07:00

Kaprekar Site: Finished Site Design. Done! I have finished all the site-redesign changes to the Kaprekar Series Generator project site! Completed the menu changes yesterday - so now its got a dotted-box left navigation bar. The frames were removed a while back along with the use of CSS. The only thing pending is making it XHTML valid and, of course, adding more content. Right now, you find a

2004-05-20T16:41:00.000-07:00

Kaprekar Series Site: Navbar/menu design. ok ... I've decided that I'll go for a modified dotted style for the Kaprekar Series Generator site - but will put the styles in a separate css file - this way I can change the menu style by relacing this css along (not affecting the rest of the site). This will be aligned to the way I have structured the css for the site - as descibed in the article

2004-05-17T12:49:00.001-07:00

Kaprekar Series Site: Site Redesign. Still working on the Kaprekar Series Generator Site redesign. The menu on the site still uses a html table. Plan to move that to a pure CSS solution. But currently stumped as to what approach to go for! The current menu which uses table tags is (hopefully!) cross-browser - it will look more-or-less the same across various browsers. Should I move away from

2004-05-17T12:49:00.000-07:00

Kaprekar Series Site: Used PHP. I converted the Kaprekar Series Generator site from a frame based navigation to a php-based site (with the navigation included in the template). Also, I've used CSS ... I'm not sure if it would work on all browsers. I've tested it with Firefox and IE. Lemme know if it doesn't work on your browser. Check it out at http://kaprekar.sourceforge.net 5/11/2004.

2004-05-17T12:48:00.000-07:00

Playing with Numbers I finished generating the Kaprekar series for 2-digit to 50-digit numbers. While my pc was still chugging along for larger digits, I looked for "patterns" in the first 50 entries. I've placed the results in the kaprekar site in a section titled Playing with numbers. 5/2/2004.

2003-09-13T12:26:00.000-07:00

The Kaprekar Series! (http://kaprekar.sourceforge.net) Discovered by an Indian Mathematician in the 1950s, this series bears his name. He found that, given any 4-digit number, with distinct digits; on applying the Kaprekar process it will distill down to a single number - 6174 - called the Kaprekar constant. The process is very simple. Take any 4-digit number, say 1234. Now write its digits in