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 I had a long and persistent dream of the Mordell's equation: y^2=x^3+k; where k is an integer. For a given k how ma… twitter.com/i/web/status/1… 21 hours ago
 The material quoted here and in the last RT are a good example of: मूर्खप्रोत्साहनान् मूर्खत्वम् इदम् एव मूर्खपरम्प… twitter.com/i/web/status/1… 1 day ago
 RT @Sarvadamana: In that case we *may* find archaeological evidence for flying vimanas and ancient nuclear astra's too 😁 https://t.co/3vd5v… 1 day ago
 A great fear of the mantravAdins was also put into the marUnamattas due to the abhichAra. A Mogol commander Munaw… twitter.com/i/web/status/1… 1 day ago
 A sense of number or even basic magnitude is mostly lacking in the first responder from the media in the desh: no d… twitter.com/i/web/status/1… 1 day ago
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Recent Posts
 A dinnertime conversation
 Newton’s cows
 A novel discrete map exhibiting chaotic behavior
 1859 CE and beyond: Some reflections
 Cricket in pictures
 The maṅgalācaraṇam of the Mānasollāsa
 The second strike
 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
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Category Archives: Scientific ramblings
Newton’s cows
Cultures with an IndoEuropean background have had a long history of symbiosis with the bovine animal since they started herding on the steppes in the Black SeaCaspian region. Indeed, the very emergence of the modern steppes of Eurasia is likely … Continue reading
Posted in Scientific ramblings
Tagged cows, determinant, mathematics, Newton, simultaneous equations
A novel discrete map exhibiting chaotic behavior
The map proposed by R. Lozi over 40 years ago is one of the simplest two dimensional maps that exhibits chaotic behavior and generates a wide range of interesting structures. The map may be defined thus: where are real parameters. … Continue reading
Posted in Scientific ramblings
Tagged attractors, chaos, chaotic flows, dynamics, fractal, fractals, geometry, mathematics, trigonometry
1859 CE and beyond: Some reflections
The yuga between 1800 CE and 1900 CE saw a remarkable change in our understanding of the world at many levels. It is not that some of these ideas did not exist long before that time but they came together … Continue reading
Posted in History, Scientific ramblings
Tagged biologists, biology, entropy, evolution, gravity, physics, quantum mechanics, thermodynamics
Visualizing the Hindu divisibility test
Prologue This article continues on the themes covered by the last two (here and here) relating to factorization and the primitive root modulo of a prime number. Early in ones education one learns the divisibility tests for the first few … Continue reading
Posted in Scientific ramblings
Tagged arithmetic, divisibility, Hindu mathematics, mathematical entity, mathematics, prime numbers, Shankaracharya
Fermat’s little theorem and the periods of the reciprocals of primes
From the genetic code to the proof of Fermat’s little theorem Nucleic acids encode the 20 amino acids found in the sequence of a protein using just 4 bases: A, G, T, C in DNA. Thus, the 4symbol nucleic acid … Continue reading
Posted in Life, Scientific ramblings
Tagged arithmetic, decimal, decimal cycle, Fermat little theorem, fractions, mathematics, prime numbers, sequence
A layman’s overview of the arithmetic of encryption
Life as an encryptiondecryption cycle Encryption is a concept as old as life itself. The sequence of proteins, the primary purveyors of function in life as we know it, is encrypted within nucleic acids. It is decrypted by this remarkable … Continue reading
Posted in Scientific ramblings
Tagged arithmetic, code, encryption, key, mathematics, numbers, prime numbers, RSA
Divisionmultiplication parabolas, triplications, and quadratic residues
Introduction Many strands of our investigations on conicgenerating integer sequences, word fractals and cellular automaton models for pattern formation came together in an unexpected manner while investigating a simple integer sequence. While some of these connections have have been known … Continue reading
Posted in Scientific ramblings
Tagged arithmetic, conics, fractal, fractals, geometry, mathematical entity, mathematics, MephistoWaltz, numbers, parabola, prime numbers, sequence