Of Scholarship

Scholarship is great and is like an expanding flower

Pandityam nava pallavam vikasitham pushpam prayogajnatha

In order to have scholarism graced, one should strive hard to gain it. It is said that the hard work done by the scholar is known only to the scholar ! How can others know it ?

The scholar and the world, the endless strife
The discord in the harmonies of Life
The love of Learning, the sequestered nooks
And the sweet serenity of Books
The marketplace, eager love for gain
Whose aim is vanity, whose end is pain !


Vidwaneva Vijanathi
Vidwajjana parishramam
Na hi vandhya vijanathi
Gurveem prasava vedanam !

How can others know the work hard
Which the scholars have indulged in ?
Like a barren woman who cannot know
The pain of delivering !

Indian names for big numbers

Ganitha Kerala, the Kerala School of Astronomy and Maths, has given a lot of names for big numbers.

Like the Western

Myriad = 10^4
Million = 10^6

Indian names are

Shata = 10^2
Sahasra = 10^3
Ayutha = 10^4
Laksha = 10^5
Dasa Laksha = 10^6 ( Million )
Koti = 10^7
Dasa Koti = 10^8
Vrinda = 10^9
Kharva = 10^10
Nikharva = 10^11
Mahapadma = 10^12
Mahakharva = 10^13
Padma = 10^14

In the Western, we have

Million = 1000^2
Billion = 1000^3
Trillion = 1000^4

or

Nillion = 1000^(n+1)

where n is the number. Tri meaning 3 and trillion = 1000^(3+1)!

Of Mathematica Vedica

By one more than the one before

Ekadhikena Purvecha is Sanskrit for " One more than the previous one". This
sutra can be used for multiplying or dividing algorithms.

You can use this formula to compute the squares of numbers.

For example.

35×35 = ((3×3)+3),25 = 12,25 and 125×125 = ((12×12)+12),25 = 156,25

By the sūtra, multiply "by one more than the previous one."

35×35 = ((3×4),25 = 12,25 and 125×125 = ((12×13),25 = 156,25