The Enigma Of The Universe ► Appendices ► Appendix III ► ASAṂKHYĀTA (INNUMERABLE) ► Mathematical Computation

Posted: 31.03.2015

Let J. A. A. = J1

After once operation of V.-S., we get

After twice operating V.-S., we get

After thrice operating V.-S., we get

After administering operation V.-S. J1 times, we get

(say), which if we write as J2, then

by once administering operation V.-S., we get

by twice administering operation V.-S., we get

by thrice administering operation V.-S., we get

by J2 times administering operation V.-S. we get

If we call this magnitude J3 then,

by once administering V.-S., we get

by twice administering V.-S., we get

by thrice administering V.-S., we get

:By J3 times administering operation V.-S. we get

If we call this magnitude J4 and the magnitude we add m1, then the total magnitude we get is

(J4 + m1) = J ′1 (say)

Now, administering the operation 'śalakātrayaniṣṭhāpana' to this magnitude, we get, say,

J2 ′, J3 ′, J4 ′ respectively.

Now, if add m2 which is the magnitude to be added in the last magnitude, i.e., J4 ′, we get

(J4 ′4 + m2) = J 1′ (say)

Again, administering operation 'śalakātrayaniṣṭhāpana' to this magnitude, we get  J2 ", J3 ", J4"  respectively. Then

U.A. A. = J4 " -1.

In the above four definitions the first two are found in the Shvetambara tradition and the last two are found in the Digambara tradition.

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