Prayer

A Humble Prayer

True learning goes beyond books; it begins with a sense of peace and a heart filled with gratitude. As we walk together on the path of knowledge and personal growth, let us also nurture our inner calm.

Please chant:

Hare Krishna Hare Krishna
Krishna Krishna Hare Hare
Hare Rama Hare Rama
Rama Rama Hare Hare

May these sacred words bring harmony.

🙏🏽 Thank you

Wednesday, August 24, 2016

94-Math Riddles 01

🧠 Let’s Jump into Some Fun with Riddles! 
Today, we will delve into a handful of straightforward yet thought-provoking riddles. 
They might appear simple at first sight — and they are! 
However, true enjoyment comes from using fundamental mathematical ideas and shifting your perspective. 

🧠 Let’s jump into some enjoyable riddles!
Today, we’re going to take a look at a few straightforward yet intriguing riddles.
They may seem simple, but the fun comes from applying fundamental concepts with a bit of creative thought.

All you need is a curious mind and a new outlook.
Are you prepared to challenge your brain? 😄

We are all acquainted with the decimal number system, which consists of 10 digits:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Now, here’s the twist...

In this unique riddle, the values of all these digits have been modified!
Indeed, each digit now represents a different, concealed value.

With these altered values, a series of problems has been solved.

Your challenge?

👉 Carefully examine the provided problems.
👉 Uncover the hidden pattern.
👉 Determine the new value associated with each digit.

Get ready — this is more than just a puzzle; it’s a numerical enigma! 🧩✨

Let's discuss some steps in solving such problems.

Solved Example:

Key-1

      The sum of all the digits from 0 to 9 is 58.

Key-2

     853
  + 388
-----------
     818

Key-3

     5381
  + 1573
-------------
    26501

Key-4

     9
  x 6
-----------
   75

Step-1

Using Key 1:

🔍 Let's Discover the Hint!
In the standard decimal system, the total of all digits from 0 to 9 is
0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45

However, in our intriguing number puzzle with altered digit values, the total number of digits is 58—something has changed!

Let’s examine it:

🧩 In this puzzle:

The new value assigned to the digit 

Thursday, June 16, 2016

93-Software to calculate Degree and Radians

a) Click here for "01-Degree-2-Degree-Minute-Second-n-Radian-converter"
b) Click here for "02-Degree-Minute-Second-2-Degree-n-Radian-converter"
c) Click here for "03-Radian-2-Degree-n-Degree-Minute-Second-converter"

1) Directed Angles:

The initial arm rotates through a certain amount of rotation in the clockwise or anti-clockwise direction to the terminal arm then this amount of rotation is called the measure of the directed angle and such an angle is called the directed angle.



The directed angle AOB has ray OA as an initial arm and ray OB as the terminal arm. O is called a vertex of an angle AOB. 
Note: 
1) Here, Angle AOB ≠ Angle BOA even if they have the same amount of rotation.
2) If the rotation of the initial arm is anticlockwise, the directed angle is positive and if it is clockwise then the angle is negative.

See the figure carefully to understand the concept.

Monday, March 14, 2016

92-Magic Square-13 (Albert Einstein’s 137th birthday- Pi Day)

Click here for the previous part of the magic square.

Dear Einstein, Happy Birthday

(Happy Pi Day)

🎉 Celebrating Pi Day and Einstein’s 137th Birthday with Magic Squares 🧮✨

Today is March 14 — the calendar date that mirrors the digits of π (pi), the most famous irrational number in mathematics: approximately 3.14159...
Pi represents the ratio of a circle’s circumference to its diameter, and it's a constant that has fascinated mathematicians for centuries. That's why every year, March 14 (3/14) is celebrated around the world as Pi Day — a tribute to the beauty and mystery of circles.

But that’s not all…

🎂 March 14 is also the birthdate of one of the greatest minds in history — Albert Einstein!
Born on March 14, 1879, today marks what would be his 137th birthday.


🧠 Honoring Einstein with a Magical Touch

To celebrate both Pi Day and Einstein’s 137th birthday, let’s explore two magic squares created using five significant numbers:

➡️ 03, 14, 18, 79, and 137

These numbers represent:

  • 03 → March (the third month)
  • 14 → The date
  • 18 → Possibly the year suffix from a reference like 2018 (or could stand in creatively for ‘Pi Day in 2018’)
  • 79 → Year of Einstein’s birth (1879)
  • 137 → Einstein’s 137th birthday

These five numbers form the first row of two uniquely constructed magic squares, where the sum of numbers in each row, column, and diagonal is the same — a delightful blend of numerical harmony!

🧊 Magic Square 1

Magic square 1

Magic square 2

Thursday, July 30, 2015

91-Magic Square-12 (Software (5 x 5) part-3)

This is the third part of the 5x5 magic square software.

You can enter any 5 numbers between -9999 to 9999 (actually you can enter any number, but for the betterment of the look of the sheet, this restriction is implemented in the software) of your choice in the first row. The software will give you two different magic squares with your chosen numbers in 1 st row. These two magic squares have 120 types of the same addition.


Now the software is uploaded and ready to use.

Rows
5
Columns
5
Diagonals
2
Broken Diagonals
8
Different Patterns
100
Total
120

Click the following button for the software of magic squares of order 5 x 5.

5x5 magic square software

Now we will see all the properties of 5 x 5 magic squares one by one. Let us see the magic squares in which we choose the first row with the numbers 9, 21, 34, 45, and 56. The following two magic squares will be obtained by the software. 

Sunday, July 26, 2015

90-Magic Square-11 (Software (5 x 5) part-2)

Prepare your own two magic squares of 5 rows and 5 columns, in which the first row is of your choice. You can enter any 5 numbers between -9999 and 9999 (actually, you can enter any number, but for the betterment of the look of the sheet, this restriction is implemented in the software) of your choice in the first row. The software will give you two different magic squares with your chosen numbers in 1 first row. These two magic squares have 120 types of the same addition.
Rows
5
Columns
5
Diagonals
2
Broken Diagonals
8
Different Patterns
100
Total
120

Click the following button for the software of the magic squares of order 5 x 5.

5x5 magic square software

Now we will see all the properties of 5 x 5 magic squares one by one. Let us examine the magic squares in which we choose the first row to contain the numbers 9, 21, 34, 45, and 56. The following two magic squares will be obtained by the software. 

4) Addition of all the numbers in the Broken Diagonals: (13 to 20)

     a) First Broken Diagonal: (13/20)

09 + 33 + 54 + 23 + 46 = 165         09 + 18 + 38 + 46 + 54 = 165

     b) Second Broken Diagonal: (14/20)

44 + 21 + 52 + 36 + 12 = 165         36 + 21 + 12 + 52 + 44 = 165

     c) Third Broken Diagonal: (15/20)

24 + 55 + 34 + 10 + 42 = 165         55 + 47 + 34 + 19 + 10 = 165

     d) Fourth Broken Diagonal: (16/20)

53 + 32 + 13 + 45 + 22 = 165         22 + 08 + 53 + 45 + 37 = 165

     e) Fifth Broken Diagonal: (17/20)

56 + 44 + 32 + 23 + 10 = 165         56 + 36 + 08 + 46 + 19 = 165

     f) Sixth Broken Diagonal: (18/20)

45 + 33 + 24 + 11 + 52 = 165         45 + 18 + 55 + 35 + 12 = 165

     g) Seventh Broken Diagonal: (19/20)

34 + 20 + 12 + 53 + 46 = 165         34 + 11 + 44 + 22 + 54 = 165

     h) Eighth Broken Diagonal: (20/20)

21 + 13 + 54 + 42 + 35 = 165         21 + 53 + 38 + 10 + 43 = 165

The remaining 100 types of addition patterns will be published in the next blog.

Wednesday, July 22, 2015

89-Magic Square-10 (Software (5 x 5) part-1)

Prepare your own two magic squares of 5 rows and 5 columns in which the first row is of your choice. You can enter any 5 numbers between -9999 to 9999 (actually you can enter any number, but for the betterment of the look of the sheet, this restriction is implemented in the software) of your choice in the first row. The software will give you two different magic squares with your chosen numbers in 1 st row. These two magic squares have 120 types of the same addition.

Rows
5
Columns
5
Diagonals
2
Broken Diagonals
8
Different Patterns
100
Total
120

Click the following button for the software of magic squares of order 5 x 5.

5x5 magic square software
Now we will see all the properties of 5 x 5 magic squares one by one. Let us see the magic squares in which we choose the first row with the numbers 9, 21, 34, 45, and 56. The following two magic squares will be obtained by the software. 


Now we will see all types of addition:

1) Addition of all the numbers in the Rows: (1 to 5)

     a) First Row: (1/5)

09 + 21 + 34 + 45 + 56 = 165         09 + 21 + 34 + 45 + 56 = 165

     b) Second Row: (2/5)

44 + 55 + 13 + 20 + 33 = 165         36 + 47 + 53 + 11 + 18 = 165

     c) Third Row: (3/5)

24+ 32 + 43 + 54 + 54 = 165         55 + 47 + 20 + 38 + 44 = 165

     d) Forth Row: (4/5)

55+ 11 + 23 + 36 + 42 = 165         22 + 35 + 46 + 52 + 10 = 165

    e) Fifth Row: (5/5)

35+ 46 + 52 + 10 + 22 = 165         43 + 54 + 12 + 19 + 37 = 165

2) Addition of all the numbers in the Columns: (6 to 10)

     a) First Column: (6/10)

09+ 44 + 24 + 53 + 35 = 165         09 + 36 + 55 + 22 + 43 = 165

     b) Second Column: (7/10)

21+ 55 + 32 + 11 + 46 = 165         21 + 47 + 08 + 35 + 54 = 165

     c) Third Column: (8/10)

34+ 13 + 43 + 23 + 52 = 165         34 + 53 + 20 + 46 + 12 = 165

     d) Forth Column: (9/10)

45 + 20 + 54 + 36 + 10 = 165         45 + 11 + 38 + 52 + 19 = 165

     e) Fifth Column: (10/10)

56 + 33 + 12 + 42 + 22 = 165         56 + 18 + 44 + 10 + 37 = 165

3) Addition of all the numbers in the Diagonals: (11 to 12)

     a) First Diagonal: (11/12)

09 + 55 + 43 + 36 + 22 = 165         09 + 47 + 20 + 52 + 37 = 165

     b) Second Diagonal: (12/12)

56 + 20 + 43 + 11 + 35 = 165         56 + 11 + 20 + 35 + 43 = 165
8 types of broken diagonal addition and 100 types of different patterns of addition will be published in the next blog.

Thursday, July 2, 2015

88-Code of Click-Button for Blog or Website

While writing the blogs, I want to place a "button" to open the corresponding site, I found one interesting method to write the code for this button.

Click on the following button to go to the software to get the code.


For the software, follow the following instructions step by step.

Step-1