2).Introduction to pie(π)__.  :::

The number π is a mathematical constant. Originally defined as the ratio of a 

circle's circumference to its diameter, it now has various equivalent definitions

 and appears in many formulas in all areas of mathematics and physics. It is 

approximately equal to 3.14159 not a physical constant.

  π appears routinely in describing fundamental principles of the universe, often  

because π's relationship to the circle and to spherical coordinate systems. A 

 Simple formula from the field of classical mechanics gives the approximate 

period T of a simple pendulum of length L, swinging with a small amplitude (g is the earth's gravitational acceleration):

${\displaystyle T\approx 2\pi {\sqrt {\frac {L}{g}}}.}$

Below is the 100 digits of pie which goes to infinite:-

3.141592653589793238462643383279502884197169399375105820974944592307816406286 .....................

The entire universe exists in pie.
Pie day is celebrated on 14 march and this day is also know as mathematical constant day or maths constant day.
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1) interesting questions on expansion:

If it is given that ::    ( a^2-b^2)=c

   

Then find the value of 'a'  and 'b'.

Solution;

(a^2-b^2) * 1=c*1                  (multiplying 1 both sides) 

(a^2-b^2)=c*1

(a+b)(a-b)=c*1

Therefore:

(a+b)=c -----------------------------------(1st eq.)

(a-b)=1------------------------------------(2nd eq.)

(Adding eq 1 and 2 )

a+b+a-b=c+1

2a=c+1

a=c+1/2

(Substracting eq 2 from 1)

a-a+b+b=c-1

2b=c-1

b=c-1/2

        

Thus:

a=(c+1)/2 .         And .             b=(c-1)/2

Characteristics of these formulas:

1) .When the value of c is even then the value of a and b will be in decimals.

2).  When the value of c is odd then the value of a and b will be an real number.

Note: this formula is applicable for specific numbers .

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Intro.maths.dps

MATHEMATICS

"History has proven ,the one who dares to imagine the impossible are the one who breaks all the human limitations"

Hii  , let me introduce you to myself that's me. My name is Divyansh pratap Singh.I am a student of class 10th. I am a blogger and also I love Mathematics and I have an unsatisfing thirst for maths.
      I love eng literature as I love writing short stories and at present I had written six to seven stories that I had published on my website :                               
I love computer as in programming.
'mathematics is my passion I love maths'
I am not open to many people. I'm usually quite and I don't really like attention . so if I like you then you should be something special.


                              "I AM WHAT I AM"

               

                                                                                    

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