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On Contribution of Jainology to Indian Karma Structures
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symbolic. In the earlier portions of the texts, post universal Lokottara measures pramana are set up in relation to the bios detailed with respect to individual control station guṇa sthānas. The next part of Gommaṭasāra (Karma-kanda) details about the theory of karmic bonds, rise and state in structural forms. 10 The material in Labdhisära deals with the dynamics of the karma system in an elaborate mathematical approach.11 The equation of motion of the complex system dealing with the nisusus (nişekas) expressible as tatrads of (i) Configurations (prakṛtis) (ii) mass numbers (pradesas), (iii) energy-levels (anubhaga amsas) and (iv) life-time intervals (sthiti) pose the most trying problems of bio-science pheno
mena. 12
8
2. Structures in Karmic Masses
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One may recall the treatment of an instant-effective-bond (Samayaprabaddha) in a previous research paper. In order to understand the structure of a nisus, with life-time zero to prescribed instants, one has to give a general expression to the instant-effective-bond in terms of the configuration, the syeer-vector-group and the geometric regression. Let Ca BS denote the set of karma particles of Cath configuration ẞ Gp (a= 1, 2,...), of Sẞth super-vector-group ( 1,2, ...) of karma particles
8. (a) Jain, L. C., On the Jaina School of Mathematics, C. L. Smriti Granth, Calcutta, 1967, 265-292 (Eng. Sec.)
(b) Jain L. C., Jaina, Matheinatical Contribution of Todaramala of Jaipur, The Jaina Antiquary, Vol. 30, no 1, 1977, pp 10-22. (c) Jain, L. C., of Perspectives of System-Theoretic Technique in Jaina School of Mathematics, between 1400-1800 A. D., Jain Journal, Calcutta, Vol. 13, no 2, Oct. 1978, pp. 49-66. 9. (a) Jain, L. C., Mathematical Foundations of Karma : Quantum System Theory, I, Anusandhan Patrika, Jaina Viśva Bharati, Ladnun, 1073, pp 1-19.
(b) Jain, L. C., System Theory in Jaina School of Mathematics, I. J. H. S., vol. 14 no. 1, 1979, pp 31-65 Cf. ibid.
Cf. 8 (c) and 9, op cit.
Cf. ibid.
Cf. 9 (a), op. cit., and Cf also 7, op. cit.
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