/* Ajith - Syntax Higlighter - End ----------------------------------------------- */

12.02.2013

Displaying MATH formulas in blogger

Introducing math formulas in blogger was a daunting task in olden days. Now using Mathjax we can include them without any issue. Let us see steps to add support for Mathjax to blogger template.

1. In your blog default home page under "template" section select "Edit HTML" option. Add following line after <head> tag
<script type="text/javascript"
   src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML">
</script>

2. Now we can include math formulas as simple ASCII Math notation.

NOTE: We should use ∖( ...∖) for inline math and ∖[ ... ∖] for displayed math.


For inline math

To display \(\left(x-1\right)\left(x+3\right) \sqrt{a^2+b^2}\) as inline formula

Similarly for displayed math

 \[\sqrt{a^2+b^2}x = a_0 + \frac{1}x = a_0 + \frac{1}{\displaystyle a_1 + \frac{1}{\displaystyle a_2 + \frac{1}{\displaystyle a_3 + a_4}}}{a_1 + \frac{1}{a_2 + \frac{1}{a_3 + a_4}}}\]
References:

1. Mathjax
2. Online Latex Editor 

11.04.2013

Bubble Sorting

Bubble sort is one of the simple sorting algorithms and also popularly known as a Brute Force Approach. The logic of the algorithm is very simple as it works by repeatedly iterating through a list of elements, comparing two elements at a time and swapping them if necessary until all the elements are swapped to an order.

For e.g. if we have a list of 10 elements, bubble sort starts by comparing the first two elements in the list. If the second element is smaller than the first element then it exchanges them. Then it compares the current second element with the third element in the list. This continues until the second last and the last element is compared which completes one iteration through the list. By the time it completes the first iteration the largest element in the list comes to the rightmost position.

Image courtesy from Annieink.com

The algorithm gets its name as we start from lowest point and “bubble up” the higher elements to the highest point in the list. We can also follow other approach where we start from highest point and “bubble down” lowest elements in the list. Since it only uses comparisons to operate on elements, it is a comparison sort.

8.14.2013

Reality of a Software Project

That's the reality I faced in real world crappy planning of Software Project. As a Developer we never have "FREE TIME" ..

Reality of a Software Project

6.11.2013

How to narrate a story to computer scientist


If it brings back old memories or a smile then I hope you understood the characters in STORY.

3.16.2013

Death of Google Reader - Journey towards alternatives

Flashback

Long Long ago when INTERNET is booming up with so many websites its really hard to follow the interesting one. Its quite clumsy to go around miliions of sites to check for new posts.

Am I Doomed ?

No, you are not. RSS feed mechanism is the answer.


Just follow the RSS feed of your favourite site and the RSS reader will maintain the unread articles, favourite articles and so on. Voilla simple and effective solution to follow various sites.

3.14.2013

Divide a number by 3 without using any arithmetic operators

How to divide a number by 3 without using operators + - / * %

NOTE: I am just trying to collect various answers down in this post available across multiple sites in internet as mentioned in references.

Solution 01:
#include <stdio.h>
#include <stdlib.h>

int main()
{
    FILE *fp=fopen("temp.dat","w+b");
    int number=12346;
    int divisor=3;
    char *buf = calloc(number,1);
    fwrite(buf,number,1,fp);
    rewind(fp);
    int result=fread(buf,divisor,number,fp);
    printf("%d / %d = %d", number, divisor, result);
    free(buf);
    fclose(fp);
    return 0;
}

3.13.2013

Checking Balance of Symbols in a expression

This article is part of article series - "Datastructures"

A balanced expression contains right number of closing and open braces.

For example:

  • [[ - unbalanced expression
  • []{}() - balanced expression
  • [(*)] - balanced expression

Let us see how to find if an expression is balanced or not by checking for following operators [ ] { } and ( ) in the given expression.

Using Stacks



2.05.2013

Conversion from Infix to Postfix

This article is part of article series - "Datastructures"

Converting a Fully Parenthesized Infix expression into Postfix expression  


Analysis:

Five types of input characters

  • Opening parentheses
  • Operands
  • Operators
  • Closing parentheses
  • New line character (\n)

Pseudocode:


********************************************************  
 Function  : main  
  
 Calls     : createStack  
             freeStack                
             pushIntoStack   
             popFromStack   
  
 Called by : NONE   
  
 Input   
 Parameters: Accepts input expression for processing  
    
 Returns   : Converts Fully paranthesized INFIX 
             expression into POSTFIX expression
******************************************************** 

SET i to 0
GET infix expression from user into input_array
SET var with input_array[i]

CALL createStack

WHILE var != end of string

  IF var equals to '(' THEN
  
    CALL pushIntoStack (stack, var)  

  ELSE IF var is a number THEN        
  
    PRINT var  

  ELSE IF var is an arithmetic operator THEN
  
    CALL pushIntoStack (stack, var) 
    
  ELSE IF var equals to ')' THEN

    WHILE stackTop != '('

      IF stackTop is an arithmetic operator THEN

        PRINT stackTop
        popFromStack (stack)

      ENDIF
    
    ENDWHILE

    popFromStack (stack)

  ENDIF

  SET var with input_expression[INCREMENT i]

ENDWHILE

CALL freeStack (stack)