Posted: 31.03.2015

Let J. A. A. = J_{1}

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. J_{1} times, we get

(say), which if we write as J

_{2},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 J_{3} then,

by once administering V.-S., we get

by twice administering V.-S., we get

by thrice administering V.-S., we get

:By J_{3} times administering operation V.-S. we get

If we call this magnitude J_{4} and the magnitude we add m_{1}, then the total magnitude we get is

(J4 + m1) = J ′1 (say)

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

J_{2} ′, J_{3} ′, J_{4} ′ respectively.

Now, if add m_{2} which is the magnitude to be added in the last magnitude, i.e., J_{4} ′, we get

(J_{4} ′4 + m_{2}) = J _{1}′ (say)

Again, administering operation '*śalakātrayaniṣṭhāpana*' to this magnitude, we get J_{2} ", J_{3} ", J_{4}" respectively. Then

U.A. A. = J_{4} " -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.