Thank You 2014 Image

#ThankYou2014

2014 was an amazing year for me. Things didn't went that wrong, like they did in 2013 and year before that. Both my online and offline lives went smooth. This post is a summary of things I did/learned in 2014. It has primarily a personal approach and doesn't intend to force any show-off to readers. 2013 : Learning with troubles 2013 had ended up with a disturbing half when my INSPIRE scholarship was discontinued, due to some unknown reasons. God knows why are…

Creating Custom Wp Widgets

Newbie’s Guide : Creating Custom WordPress Widgets

Sarah Parker teaches the basics of plugin development with how to create custom WordPress widgets for your customary needs.
For those who run WordPress powered websites understand the importance of adding widgets on their site. Widgets are a great way to add content and additional features on your website. They make it extremely easy for you to simply drag and drop several elements such as sidebar, header, footer, of your website and thus making the most out of its functionality. By utilizing widgets correctly, you can make your website useful for your visitors. And the best thing about them is, you can use them anywhere you want, thus helping users to find more content on your website. Many of the WordPress users always search for the perfect WordPress widget that will help them do exactly what they want, but with a little technical knowledge and coding skills, you may find it easier for you to create your own WordPress custom widget. In this tutorial, I am going to show you the ways through which you can create your custom widget. For a better understanding, I'll be covering some extra points that you need to understand before you actually start creating the widget itself.
Useful Php Scripts

Effective PHP Scripts to use for your WordPress blog

WordPress plugins are effective and easier to use. They do what they are meant to. You can get WP plugins for almost any tweak you want to do with your site. But there are still a few tweaks that can't be done by plugins. Or, if they could be done -- plugins might build seriously more load on your site. To solve this, you can always place some PHP scripts which run into your WordPress' site's front-end to offer wanted results. This process doesn't need installation of plugins and hence strengthens your site's security and keeps bloat away. Here is the list of some highly useful PHP scripts to use for your WordPress blog. This list is expandable and will surely expand to larger number of scripts as time moves on. All the codes listed below are error-proof and tested by me on my blogs.
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A bug in DW Question & Answer makes all comments ‘Anonymous’

While I was busy with semester exams, my colleague figured that all comments are showing to be posted by Anonymous author. How weird? Anonymous name is given to the writer of a comment in which 'author-name' field is kept blank. I did not allow to post 'anonymous' comments on this blog and everything was okay until I installed the latest update (1.2.9, possibly) of Design Wall's Question Answer (DWQA) plugin. This Q&A tool has proven to be a tonic to the interactivity of my website since I…

Google PageRank Update

Google PageRank Updated – We became better

Google PageRank (PR), the most popular base 10 website popularity algorithm, has received an unexpected update on this December 6 --exactly 10 months and 2 days after the last update was released. My blog has regained its PR4 rating, which was gone to PR1 after I upgraded the site-domain from subdomain wpgaurav.wordpress.com to gauravtiwari.org in November 2011. In last PR Update (February 4, 2013) the Page Rank was 3. Here is how the Google Page Rank of my blog varied : Date of…

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We are now using MathJax!

The very first trouble I faced, while moving the blog from WordPress.com hosting to WordPress.org, was due to a bug in WordPress's OPML importer. The 'importer' messed up with all LaTeX equations on this site -- just by deleting a single but very important string from all LaTeX codes. If you are really moving your WordPress content from one blog to other and you have mathematical codes or any other type of coding like C, Perl, PHP and Unix stuffs, then…

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My Five Favs in Math Webcomics

Cartoons and Comics are very useful in the process of explaining complicated topics, in a very light and humorous way. Like: Source of These Cartoons Here my five most favorite math-webcomics sites. (Click on images to visit them.) 1. Spiked Math 2. xkcd 3. SMBC COMICS 4. Oh! You math! 5. Abstruse Goose Enjoy reading!

On Ramanujan’s Nested Radicals

Ramanujan (1887-1920) discovered some formulas on algebraic nested radicals. This article is based on one of those formulas. The main aim of this article is to discuss and derive them intuitively. Nested radicals have many applications in Number Theory as well as in Numerical Methods . The simple binomial theorem of degree 2 can be written as: $ {(x+a)}^2=x^2+2xa+a^2 \ \ldots (1)$ Replacing $ a$ by $ (n+a)$ where $ x, n, a \in \mathbb{R}$ , we can have $…

Online Books

Free Online Calculus Text Books

Once I listed books on Algebra and Related Mathematics in this article, Since then I was receiving emails for few more related articles. I have tried to list almost all freely available Calculus texts. Here we go:  Elementary Calculus : An approach using infinitesimals by H. J. Keisler Multivariable Calculus by Jim Herod and George Cain Calculus by Gilbert Strang for MIT OPEN COURSE WARE Calculus Bible by G S Gill [Sometimes this link work, and, randomly it won't.] Another…

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Applications of Complex Number Analysis to Divisibility Problems

Prove that $ {(x+y)}^n-x^n-y^n$ is divisible by $ xy(x+y) \times (x^2+xy+y^2)$ if $ n$ is an odd number not divisible by $ 3$ . Prove that $ {(x+y)}^n-x^n-y^n$ is divisible by $ xy(x+y) \times {(x^2+xy+y^2)}^2$ if $ n \equiv \pmod{6}1$ Solution 1.Considering the given expression as a polynomial in $ y$ , let us put $ y=0 $ . We see that at $ y=0 $ the polynomial vanishes (for any $ x$ ). Therefore our polynomial is divisible by…