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mAnasataraMgiNI supplement
 On the skandaShaShThI evening it is considered highly meritorious for those on the kaumAra path to read out the aj… twitter.com/i/web/status/1… 13 hours ago
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Recent Posts
 Visualizing the Hindu divisibility test
 Fermat’s little theorem and the periods of the reciprocals of primes
 A layman’s overview of the arithmetic of encryption
 Divisionmultiplication parabolas, triplications, and quadratic residues
 A brief overview of the last campaign of Chingiz Khan and the issue of succession in the Mongol empire
 The mean hyperbola and other mean functions
 A Political roundup August 15 2018
 The geometric principles behind discrete dynamical systems based on the generalized Witch of Agnesi
 Reflections on our journey through the aliquot sums and sequences
 The ghost in the tattered Gattermann
 The hearts and the intrinsic Cassinian curve of an ellipse
 The mathematics class
 Residues of squares, sequence curiosities and parabolas galore
 A poll on peoples’ beliefs on reincarnation
 Making of a modernday mantraśāstra pamphlet
 Some words on mathematical truth, scientific conviction and the sociology of science
 A note on the least prime divisor sequences of 2p plus or minus 1
 A note on āmreḍitas in the Ṛgveda and issues of word distribution
 The amazonian banana republic: the strīrājya in Hindu tradition
 Sītā in the pyre
 A sequence related to prime counting
 Convergence to a palindrome
 A problem from 600 CE and some curiosities of Āryabhaṭa’s kuṭṭaka algorithm
 A brief note on some new developments regarding the genomics of Indians
 The remarkable behavior of a map displaying derived from a simple model for a biological conflict
 A day at school
 Mongolica: Qubilai Khan’s campaign to destroy the Southern Song
 The quotient triangle, the parabolahyperbola sequence, the remainder triangle and perfect numbers
 Counting primes, arithmetic functions, Ramanujan and the like
 Our autodiscovery of the Möbius and Mertens sequences
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Category Archives: History
A brief overview of the last campaign of Chingiz Khan and the issue of succession in the Mongol empire
Succession is always an important issue in history. The legacy of a mighty ruler and/or founder of an empire might quickly unravel if the issue of succession is left unresolved. In Hindu history the Guptas were marked with glory because … Continue reading
A note on āmreḍitas in the Ṛgveda and issues of word distribution
sa darśataśrīr atithir gṛhegṛhe vanevane śiśriye takvavīr iva । janaṃjanaṃ janyo nāti manyate viśa ā kṣeti viśyo viśaṃviśam ॥ RV 10.91.2 by Aruṇa Vaitahavya He, with visible auspiciousness, a guest in house after house, in forest after forest lurking like … Continue reading
Posted in Heathen thought, History
Tagged grammar, Hindu, Hindu ritual, Hindus, IndoAryan, IndoEuropean, IndoIranian, Iranian, linguistics, mantra, religion, Rigveda, ritual, Veda, vedic
The amazonian banana republic: the strīrājya in Hindu tradition
The śaiva tradition shows a dichotomy with respect to the role of the sex in ritual and purity. The earlier antimārga or pāśupata tradition focused on abstinence and the socalled “upward flow” or ūrdhvaretas. This indeed the underlying idea behind … Continue reading
Posted in Heathen thought, History
Tagged amazons, gorakSha, Greek, Greek thought, IndoIranian, Iranian, kadalirAjya, matsyendra, natha yogin, strIrAjya
A brief note on some new developments regarding the genomics of Indians
When we wrote a previous article on this matter we had stated that new data will alter the details of our understanding of picture discussed therein. Indeed, two new manuscripts which were deposited in the past month by McColl et … Continue reading
Posted in History, Politics, Scientific ramblings
Tagged ancient India, Aryan, Aryan Invasion, genetics, India, IndoAryan, IndoEuropean, IndoIranian
Mongolica: Qubilai Khan’s campaign to destroy the Southern Song
The final act in Mongol conquest of China shows the military capability of Qubilai and why his grandfather, the great Khan had singled him out as the one who someday would adorn his throne. We shall place here a very … Continue reading
Counting primes, arithmetic functions, Ramanujan and the like
We originally wished to have a tailpiece for our previous note that would describe more precisely the relationship between the Möbius function and the distribution of prime numbers. However, since that would have needed a bit of a detour in … Continue reading
Posted in History, Scientific ramblings
Tagged complex numbers, Euler, Gauss, mathematics, prime numbers, Ramanujan, Riemann
Mongolica: Knowledge preservation and generation, Bolad Aqa and the like
We had earlier written an essay on the preservation and production of synthetic knowledge by the Chingizid Mongols. Here we discuss a few additional points in that regard. It is clear that throughout the Chingizid clan there was a certain … Continue reading
Posted in History
Tagged astronomy, buddhism, China, Chinggis Khan, history of science, India, Iran, Mongol, Mongol religion, Mongolia, Mongols