Study of Brahmasūtramitākṣarā by Annambhaṭṭa, 17th cent., classical commentary on Brahmasūtra of Bādarāyaṇa.

Commentary on Nyāya-paricaya, work in Bengali by Phaṇibhūṣaṇa Tarkavāgīśa, 1876-1941, on Hindu logic.

Study of the Tao of physics by Fritjof Capra, work on philosophy of physics.

Anayltical study of epistemology in Indian philosophy.

Influence of Buddhism and Sankhya school of Hindu philosophy on Shankaracharya, Hindu Vedantist; a study.

Study of Siddhāntabindu of Madhusūdana Sarasvatī, being the exegesis of Daśaślokī of Śaṅkarācārya, work on Advaita Vedanta philosophy.

On the fundamentals of Mimamsa philosophy.

Commentary on Tattvacintāmaṇi of Gaṅgeśa, 13th cent., work on Hindu logic and epistemology of the Navya Nyaya school of Hindu philosophy; critical edition.

Contributed articles on the life and works of K. Satchidananda Murty,, Indic philosopher and teacher.

Classical commentary on Yogasūtra of Patañjali, work on Yoga philosophy; includes complete text of Yogasūtra.

Exhaustive study of philosophy of Self and Praṇa (breath) in Upanishads.

This paper addresses the issues related to designing and estimating the strength of solid-alloy elements in the deforming broaches of significant diameter (exceeding 150 mm) for the developed process of discrete broaching. The tool limit condition was assessed based on two strength criteria: the specific potential energy of shape change and the maximum tangent stresses. Numerical modeling using the finite element method has made it possible to derive the distribution of equivalent stresses in the tool elements and the contact stresses (...) at the surface of the contact between a solid-alloy insert and the body, which enabled the analysis of tool strength under loading. The simulation was performed under a single normal load, which ensured the versatility of the calculation for any contact pressure values. We have derived formulae to calculate the acceptable contact pressure depending on unit load. The effect of the insert protrusion height over the body on the strength of tool elements has been established. We have derived engineering dependences that determine the required magnitude of insert protrusion over the body depending on the ultimate load. An example of calculating the strength of a prefabricated deforming element in the machining of a sleeve made from gray modified cast iron of hardness HB230 has been considered. Our calculations have shown that the deforming element designed for the new technological process corresponds to the conditions of strength, provided the ratio h1/h=0.15 is maintained (where h1 is the insert height above the body, h is the insert height). The results obtained could be used in engineering calculations when designing the prefabricated tool for discrete deformation, as well as to assess the strength of prefabricated tools, such as cutters, core drills, reamers, when refining external loads. (shrink)

Contributed research papers presented at National Seminar jointly organized by Somanth Sanskrit University, Veraval and Sanskrit Sahitya Akadami at Gandhinagar on February 21-22, 2022.

Morocco; Andalusia (Spain); intellectual life; philosophy; history.

Commentary on Tattvacintāmaṇi of Gaṅgeśa, 13th century, work on Hindu logic and epistemology of the Navya Nyaya school of Hindu philosophy.

Metrical gloss on Śaṅkarācārya's commentary on the Brahmasūtra of Bādarāyaṇa, Vedānta aphorisms; includes text of the Brahmasūtra.

Study on the fundamentals of Jaina philosophy and spiritualism.

Short treatises, with commentaries, of the Advaita school in Hindu philosophy.

Concept of Brahman (Absolute, The) in Vedanta philosophy; a study.

1. Catuḥsūtrī -- 2. Adhikaraṇatrayī.

We formulate an analogue of Zilber's conjecture for o-minimal structures in general, and then prove it for a class of o-minimal structures over the reals. We conclude in particular that if is an ordered reduct of ,<,+,·,ex whose theory T does not have the CF property then, given any model of T, a real closed field is definable on a subinterval of.

§1. Introduction. By and large, definitions of a differentiable structure on a set involve two ingredients, topology and algebra. However, in some cases, partial information on one or both of these is sufficient. A very simple example is that of the field ℝ where algebra alone determines the ordering and hence the topology of the field:In the case of the field ℂ, the algebraic structure is insufficient to determine the Euclidean topology; another topology, Zariski, is associated with the ield but (...) this will be too coarse to give a diferentiable structure.A celebrated example of how partial algebraic and topological data determines a differentiable structure is Hilbert's 5th problem and its solution by Montgomery-Zippin and Gleason.The main result which we discuss here is of a similar flavor: we recover an algebraic and later differentiable structure from a topological data. We begin with a linearly ordered set ⟨M, <⟩, equipped with the order topology, and its cartesian products with the product topologies. We then consider the collection of definable subsets of Mn, n = 1, 2, …, in some first order expansion ℳ of ⟨M, <⟩. (shrink)

On concept of god in Hinduism and Hindu philosophy.

Comprehensive study of Buddhist philosophy and other Indic philosophy.

Metrical work, with English translation on devination.

Purpose. To determine the potential of deforming broaching for the improvement of efficiency of cutter chisels in the mining industry. Methodology. The study of the application of the technological process of deforming broaching was carried out based on the experimental research into conditions of assembly of press couplings corresponding to cutting rock-destroying tools, the working surface of which is reinforced with solid-alloy inserts. Findings. Based on the conducted research, a new process of assembling the crowns of cutter chisels with the (...) use of deforming broaching was developed. Originality. It was determined that the range of angles of inclination of generatrix of the working cone of the deforming element and the roll-treading lip of the insert, which are necessary for efficient machining and pressing in crowns of cutters, is 4–16°. It was proven that the “solid alloy-steel” press couplings for cutter chisels will have the maximum bearing capacity at total tension a/d0 ≤ 3 %. It was found that it is necessary to foresee the following distribution of tensions: to perform 2 % of deformation by preliminary deforming broaching, and 1 % ‒ by pressing in an insert Practical value. The use of deforming broaching makes it possible to increase the strength of fastening the inserts of cutter chisels by 2 times, to reduce specific consumption of the tool by 4.4 times, and to increase the average drilling rate by 4 times. (shrink)