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- A layman’s overview of the arithmetic of encryption
- Division-multiplication 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 modern-day mantra-śāstra 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 āmreḍita-s in the Ṛgveda and issues of word distribution
- The amazonian banana republic: the strī-rājya 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 parabola-hyperbola sequence, the remainder triangle and perfect numbers
- Counting primes, arithmetic functions, Ramanujan and the like
- Our auto-discovery of the Möbius and Mertens sequences
- Mongolica: Knowledge preservation and generation, Bolad Aqa and the like
- Civilizational collapse, complexity, innovation and neomania
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Monthly Archives: December 2004
Armies of Islam
There are some striking aspects of the different armies of Islam field in course of the 14 centuries of Jihad against the Kaffrs and Dhimmis. The first army of Islam, that of the Arabs, met with rapid somewhat surprising success. … Continue reading
Posted in History
The ghost again
It was disastrous day. Unfazed by the disasters we were returning. We paused on our path for we distinctly saw some strange dark object like a coat lying on our a path a few feet away. I reached the object … Continue reading
Posted in Life
The scooter circuit
We performed our peculiar scooter circuit that year. Earlier it was the cycle circuit. We were like the pAshupata, distanced from the plebian world. We we passed in the midst of the plebians, we heard their chatter, we saw them … Continue reading
Posted in Life
The battle of Talas
Reviewing the battle of Talas one of the most defining moments in Asiatic history is worthwhile because the same explosive mix continues to dominate Central Asia. We have to learn many military lessons from the battle of Talas for a … Continue reading
Posted in History
Tagged Arabs, Chinese belligerence, Mohammedanism, Turks
Mythologists
So impressed was Jung by the mental patients that he believed the origins of myth lay in mental disease. With this conclusion Jung set rolling many a modern western critique of myth. The first sterile offshoot was that of Freud, … Continue reading
Posted in Heathen thought, Scientific ramblings
The drinking of poison
While the bhAgavataM is considered a vaiShNava text, it contains an highly magnified stotra to rudra. The stotra contains yet another example of the classical macrantropic motif that is so pervasive in Hindu thought since the puruSha sUktaM and the … Continue reading
Posted in Life
Zipf’s law
Some recent discussions on scripts and languages reminded me of Zipf’s law. It is a version of the power law that states that the probability of encountering the nth most frequent word in a language is: p(n)=n^(-s) (where s is … Continue reading
Posted in Scientific ramblings
