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 While many H go blue in the face denying a relatively obvious thing like the Aryan invasion they often ignore the 2… twitter.com/i/web/status/1… 23 hours ago
 RT @pinakasena: I had made a thread on finding a Rāga using Kaṭapayādi Saṅkhyā, now there is also a mathematical way of identifying the Sva… 1 day ago
 A novel way of looking at relationships between population samples modern & ancient using Manhattan distance & then… twitter.com/i/web/status/1… 1 day ago
 RT @Gopalee67: @blog_supplement शठे शाठ्यमाचरेदिति नीति:। अत्र अहिंसाविचार:न कर्तव्य:। स्वरक्षार्थं किमपि योग्यं कार्यं करणीयमेव। अन्यथा स… 2 days ago
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 Packing constants for polygonal fractal maps
 Cows, horses, sheep and goats
 Fraudulent science by Indians: some really bad news
 Leaves from the scrapbook3
 Mongolica: The Tangut empire
 Notes on the Bhadrasūkta, a hymn for felicity to the Vedic pantheon
 Liṅgakāmādisūtrāṇi
 Creating patterns through matrix expansion
 An apparition of Mordell
 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
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Tag Archives: mathematics
Creating patterns through matrix expansion
People who are seriously interested in emergent complexity and pattern formation might at some point discover matrix expansion for themselves. It is a version of string rewriting that allows one to create complex patterns. For me, the inspiration came from … Continue reading
Posted in art, Scientific ramblings
Tagged art and science, fractal, fractals, geometry, IFS, mathematics, recreational geometry
An apparition of Mordell
Consider the equation: where is a positive integer 1, 2, 3… For a given , will the above equation have integer solutions and, if yes, what are they and how many? We have heard of accounts of people receiving solutions … Continue reading
Posted in Scientific ramblings
Tagged Bachet, cube, cubic, geometry, mathematical entity, mathematics, Mordell equation, numbers, prime numbers, quadratic, recreational geometry, square
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
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