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Mathematical Foundations of Jaina Karma System
145
la system
indivisible-corresponding-sections as are in the least basic-vector, and so on.
Cf. Ne, p. 310, et seq.
18.
A geometric regression is a set of tensors. The first geometric regression begins with the least tensor. The second geometric regression begins with the vector in which the number of basic vectors is half of the number of basic vectors of the least vector of the first geometric regression, and in its first tensor, the number of indivisible-correspondingsections in its first vector are as many as are obtained by multiplying one more the number of indivisible-corresponding-sections in the least vector, and so on. All geometric-regressions contain equal number of terms, called Ayama (length), the total number of geometric regressions being called Nana-Gunahanis (various-geometric-regressions). Twice the length of a geometric regression is a Nisekahara (nisus-wreath). The product of the length of a geometric regression and the number of various geometric regressions is called Sthiti-Ayama (Stay-length). Two raised to the number of various geometric regressions is called the Anyonyabhyasta Rasi (inutual-product set).
Cf. Ne, p. 310, et seq. Cf. also Ne, vv. 223 to 229, for full details of a volition station.
19. ferrifah T ufuateua TMÀTI
समय पबद्ध बंधदि जोगवसादो दु विसरित्थं ।।4।।
Cf. Ne, v. 4.
Instant-effective-bond may be called a unit of Karmic inflow, and through various volition quanta, multiples of Karmic matter is inflown. The amount of the inflow of instant-effective-bond set is either equivalent to the infinitesimal part of the transfinite set of emancipated souls or is equivalent to infinite times the least-yoked-infinite (Jaghanya Yuktananta) set of nonemancipable souls.
परमाणूहि अणंतहिं वग्गरण सण्णा हु होदि एक्का हु। Trfa fpqHI TRIT441 42 41 424 5.
Cf. Ne, G. J. K., v. 245. जीवादोणंत गुणा पडि परमाणुम्हि विससो वचया । sit IT 4 THồ I VỀ f= HHTUI 3 1124911
Cf. Ne, G. J. K., v. 249. जोगा पयडि पदेसा ठिदि अणुभागा कसायहो होंति । Afmgfogunity at atefefa Fizz FT 1125711
Cf. Ne, G. K. K., v. 257. Jain Education International For Private & Personal Use Only
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