Guest Post: Vedic Mathematics – Squaring Numbers 1

When any number is multiplied by itself , the result obtained is known as the square of that number.  In Vedic Mathematics following methods are used for calculation of squares : Ekadhika Method,  Yavadunam Method, Duplex Method, and  Anurupyena Method.  I have written about Ekadhika Method in my blog, but here, we will discuss Yavadunam method of squaring. Other methods will be discussed in the next posts.

Yavadunam Method

This method is used for squaring the numbers which are near some base. The method can be extended to other numbers which are not near base by using sub-base. The sub-formula “Yavadunam Tavdunikritya Vargamcha Yojayet” actually means – whatever the extent of the deficiency of a number from base , lessen it to the same extent and set up the square of the deficiency.

It can also be applied to excess and in this case , this excess is to be added to same extent followed by setting up the square of excess. Hence in general this mean – whatever the deviation , increase the number by that deviation and suffix the square of the deviation.

Thus squaring of numbers near the base involves two steps:

First, divide the answer into two parts, the LHS and the RHS part. The LHS part of answer is number plus deviation. The deviation may be positive or negative depending on whether the number is more or less than the base respectively. » Read more

Pi to 10 Trillion Digits

After more than a year of electronic computation, Alexander Yee and Shigeru Kondo finally reached 10 trillion digits of \pi. This was a follow up to last year’s computation of \pi up to 5 trillion digits.

The hardware used was a 3.33 GHZ-processor desktop with 96GB DDR3 RAM. About 44TB of hard disk space was used for the computation and another 7.6 TB was used to store the value of \pi. The program used was called y-cruncher (see details).

The Computer Used for Computing Pi to 10 Trillion Digits

\pi is the ratio of the circumference of a circle to its diameter.  That means that if we have a circle, regardless of the size, and we divide the circumference by the diameter, the quotient will always be \pi or approximately 3.1416. » Read more

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