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JAIN MATHEMATICS AND KARMAVAD/147
(iii)
There is no increase if the difference so obtained is squared again02 = 0 x 0 = 0
0-1 = not possible Hence the number 'one' does not fall under the criteria of Kruti and thus, has been called nokruti.
2.2. Avaktavya Let us now take an example of number two'. (i) An increase is seen on squaring the number two, hence it cannot
be called nokruti:
(2) = 2 x 2 = 4 (ii) On subtracting from this, the number itself, the original number is
obtained:
4-2 = 2 (111) When this resulting number is again squared and the square root is
subtracted, there is no increase in number: (2)2 = 4, and
4-2 = 2 From these equations it is found that the number two' is neither Kruti nor nokruti, hence it is called Avaktavya (inexpressible).
2.3. Kruti
Let us take an example of number 'three'. (i) There is increase on squaring the number 'three' onwards:
(3) = 9 On subtracting the original number from this number, result is incremental:
9-3 = 6 (iii) On repeating, in this sequence, the increment cumulates:
(6)' = 36
36-6 = 30 From the above description it is known that
The number 'one' is nokruti. The number 'two' is Avaktavya. The numbers 'three' and the onwards numbers are Kruti.
TI
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