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mAnasataraMgiNI supplement
 The glorious goddess vArAhI from a Himalayan manuscript https://t.co/xG2GgpEWIw 17 hours ago
 Archaeogenetics & other methods contribute to the understanding of the battles of Himera between Carthaginian & the… twitter.com/i/web/status/1… 18 hours ago
 Reasonable review on the impact of Neanderthal introgression on modern sapiens. A big factor in the survival of N a… twitter.com/i/web/status/1… 19 hours ago
 Someone asked what the earliest attestation of connection between garuDa and viShNu was; I think: viShNave tvA shye… twitter.com/i/web/status/1… 1 day ago
 RT @AZmilitary1: 🇺🇸🌐Arms supplies from the USA to the countries of the world 19502017. https://t.co/zDdQoirzYy 1 day ago
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Recent Posts
 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
 Agni as the divine commander in the Veda and the Purāṇa
 The birth defects of Dhṛtarāṣṭra and Pāṇḍu and related matters
 The rise of Navyonmāda, the subversion of the Mahāmlecchas, Cīnānusāra and beyond
 Some biographical reflections on visualizing irrationals

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October 2022 M T W T F S S 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 
Pages
Categories
Search this Blog
Archives
mAnasataraMgiNI supplement
 The glorious goddess vArAhI from a Himalayan manuscript https://t.co/xG2GgpEWIw 17 hours ago
 Archaeogenetics & other methods contribute to the understanding of the battles of Himera between Carthaginian & the… twitter.com/i/web/status/1… 18 hours ago
 Reasonable review on the impact of Neanderthal introgression on modern sapiens. A big factor in the survival of N a… twitter.com/i/web/status/1… 19 hours ago
 Someone asked what the earliest attestation of connection between garuDa and viShNu was; I think: viShNave tvA shye… twitter.com/i/web/status/1… 1 day ago
 RT @AZmilitary1: 🇺🇸🌐Arms supplies from the USA to the countries of the world 19502017. https://t.co/zDdQoirzYy 1 day ago
Top Posts

Recent Posts
 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
 Agni as the divine commander in the Veda and the Purāṇa
 The birth defects of Dhṛtarāṣṭra and Pāṇḍu and related matters
 The rise of Navyonmāda, the subversion of the Mahāmlecchas, Cīnānusāra and beyond
 Some biographical reflections on visualizing irrationals

Join 693 other followers
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October 2022 M T W T F S S 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
Tag Archives: geometric mean
Relationships between incircles of the “equilateral triangles in a square” system
This note relates to geometric relationships that may be likened to the Japanese templetablet problems. The inspiration for discovering and exploring it came from an origami construction presented by the pioneer in that field, Sundara Rao of Kumbhaghoṇa, in the … Continue reading
Johannes Germanus Regiomontanus and his rod
Even before we had become acquainted with the trigonometric sum and difference formulae or calculus are father had pointed to us that there was an optimal point at which one should stand to observe or photograph features on vertical structures, … Continue reading
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
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