________________
·
3rd
geometric regression : 800.
2nd
geometric regression 1st geometric regression
: 1600.
: 3200.
To find a common difference, we apply the formula -
2 (Total quantity in geometric regression)
common difference =
(3x geometric regression length+ 1). geometric regression length For the 1" geometric regression, we have
2 (3200) (3x8+1) 8
The number of karma paramāņu decayed in the 1st instant in this geometric regression is given by the formula:
d =
Number of karma paramanus common difference x2xgeometric regression length Therefore the number of karma paramanus decayed in the 1st instant = 32 x 2 x 8 = 512
= 32
which is the element in the 8th row and the 6th column.
The other numbers are computed by substracting common difference 32 from 512 step by step, i.e.
512-32 = 480 480-32 448.
Similarly, for second geometric regression, we have
2 (1600)
d =
Jain Education International
(3 x 8+1) 8
..d = 16.
And the number of karma paramanus decayed in the 1st instant in this geometric regression is given by 16x2x8 = 256, which is the element of the matrix in the 8th row and the 5th column. The other members are calculated by substracting the common difference 16 from 256 and so on i.e. 256-16 240, 240-16 224, ........
Similarly the remaining elements of the matrix are calculated.
= 16
Arhat Vacana, 14(2-3), 2002
References
1. Gandhi N.V., Gommaṭasara Karmakanda of Nemicandra Siddhanta Cakravarti, N.V. Gandhi Publisher, 1939.
2. Vami Jinendra, Jainendra Siddhanta Kosa, Bhartiya Janapitha Prakashan, New Delhi, 1944.
3. Jain, L.C., Tao of Jain Sciences, Arihanta International, New Delhi, 1992.
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