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mAnasataraMgiNI supplement
 A point to note: iShTaka has an Iranic cognate &, as we discussed before, even a Tocharian one. However, it atteste… twitter.com/i/web/status/1… 9 hours ago
 The match between the teacher and student is a critical issue. What guNas are considered great in a student might… twitter.com/i/web/status/1… 10 hours ago
 Rare objects of beauty that bring pleasure to their enjoyer are sought by many but not gained by most, leading to s… twitter.com/i/web/status/1… 11 hours ago
 RT @bharadvajatmaja: Kevin Turner lived amongst the Buryat Mongols, learnt from them & became a shaman himself. He recalls his experience… 11 hours ago
 n!+1 is prime for n=1, 2, 3, 11 I don't know of any n after that which yields a prime. 1 day ago
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Recent Posts
 Cārucitrābhisambodhi
 RV 10.78
 The turning of the yugacakra
 A sampler of Ramanujan’s elementary results and their manifold ramifications
 A catalog of attractors, repellors, cycles, and other oscillations of some common functional iterates
 The wink of the Gorgon and the twang of the Lyre
 Some poems
 The Kaumāra cycle in the Skandapurāṇa’s Śaṃkarasaṃhitā
 Some notes on the runiform “Altaic” inscriptions and the early Turk Khaghanates: Orkhon and beyond
 Vikīrṇā viṣayāḥ: India and the Rus
 Alkaios’ hymn to the Dioskouroi: Hindu parallels
 Some notes on the IndoEuropean aspects of the Anatolian tradition
 The death of Miss Lizzie Willink
 IndoEuropean expansions and iconography: revisiting the anthropomorphic stelae
 Geopolitical summary: March 2022
 Human retroviruses, sociology of science, and biographical ruminations
 Transcripts of conversations: the addiction principle:
 Phantom impressions1
 A note on Śrī, Viṣṇu and śṛṅgāra
 Are civilizational cycles the norm?
 On the rise of the mātṛkās and the goddess Cāmuṇḍā
 Huns, Uralics, and empires of the steppe
 Some observations on the LekkerkerkerZeckendorf decomposition of integers
 Subjective and objective insight
 On the passing of E.O. Wilson
 Some words on mleccha cartels
 Relationships between incircles of the “equilateral triangles in a square” system
 The Rāmāyaṇa in numbers: meters, sarga and kāṇḍa structure
 Sneha, snowstorms, the sun and the moon in enigmatic ṛks
 The strange case of the Āpastamba sprite

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Pages
Categories
Search this Blog
Archives
mAnasataraMgiNI supplement
 A point to note: iShTaka has an Iranic cognate &, as we discussed before, even a Tocharian one. However, it atteste… twitter.com/i/web/status/1… 9 hours ago
 The match between the teacher and student is a critical issue. What guNas are considered great in a student might… twitter.com/i/web/status/1… 10 hours ago
 Rare objects of beauty that bring pleasure to their enjoyer are sought by many but not gained by most, leading to s… twitter.com/i/web/status/1… 11 hours ago
 RT @bharadvajatmaja: Kevin Turner lived amongst the Buryat Mongols, learnt from them & became a shaman himself. He recalls his experience… 11 hours ago
 n!+1 is prime for n=1, 2, 3, 11 I don't know of any n after that which yields a prime. 1 day ago
Top Posts

Recent Posts
 Cārucitrābhisambodhi
 RV 10.78
 The turning of the yugacakra
 A sampler of Ramanujan’s elementary results and their manifold ramifications
 A catalog of attractors, repellors, cycles, and other oscillations of some common functional iterates
 The wink of the Gorgon and the twang of the Lyre
 Some poems
 The Kaumāra cycle in the Skandapurāṇa’s Śaṃkarasaṃhitā
 Some notes on the runiform “Altaic” inscriptions and the early Turk Khaghanates: Orkhon and beyond
 Vikīrṇā viṣayāḥ: India and the Rus
 Alkaios’ hymn to the Dioskouroi: Hindu parallels
 Some notes on the IndoEuropean aspects of the Anatolian tradition
 The death of Miss Lizzie Willink
 IndoEuropean expansions and iconography: revisiting the anthropomorphic stelae
 Geopolitical summary: March 2022
 Human retroviruses, sociology of science, and biographical ruminations
 Transcripts of conversations: the addiction principle:
 Phantom impressions1
 A note on Śrī, Viṣṇu and śṛṅgāra
 Are civilizational cycles the norm?
 On the rise of the mātṛkās and the goddess Cāmuṇḍā
 Huns, Uralics, and empires of the steppe
 Some observations on the LekkerkerkerZeckendorf decomposition of integers
 Subjective and objective insight
 On the passing of E.O. Wilson
 Some words on mleccha cartels
 Relationships between incircles of the “equilateral triangles in a square” system
 The Rāmāyaṇa in numbers: meters, sarga and kāṇḍa structure
 Sneha, snowstorms, the sun and the moon in enigmatic ṛks
 The strange case of the Āpastamba sprite

Join 696 other followers
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Tag Archives: arithmetic mean
An arithmetic experiment and an unsolved problem
We realized that a simple arithmetic experiment we had performed in our youth is actually related to an unsolved problem in number theory. It goes thus: consider the sequence of natural numbers Then find the distance of to nearest prime … Continue reading
Posted in Scientific ramblings
Tagged arithmetic, arithmetic mean, geometric mean, mathematical entity, mathematics, numbers, prime numbers, sequence
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Conic conquests: biographical and historical
PDF file of same article Studying mathematics with our father was not exactly an easygoing experience; nevertheless, it was the source of many a spark that inspired fruitful explorations and lifelessons. We recount one such thread here, and reflect on … Continue reading
Some notes on rational sector triangle triples
Rational points on a unit circle There are some events that happen in the course of ones life that might be considered historical or worldchanging. One such event from our lifetime is the proving of the Last Theorem of Fermat … Continue reading
The mean hyperbola and other mean functions
Let be two numbers such that, We use to construct a specific rectangular hyperbola using one of the following methods: MethodI (Figure 1: this is based on an approach we described earlier) Figure 1 1) Mark point , which will … Continue reading
Means and conics
By the time one reaches high school one learns that: (i) there are four means that one might find some use of in life (I know there are more though they are hardly used) – the arithmetic mean which is … Continue reading