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- 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
- 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
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Author Archives: mAnasa-taraMgiNI
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 4-symbol 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 encryption-decryption 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
Division-multiplication parabolas, triplications, and quadratic residues
Introduction Many strands of our investigations on conic-generating 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, Mephisto-Waltz, numbers, parabola, prime numbers, sequence
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 Gupta-s were marked with glory because … 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: Method-I (Figure 1: this is based on an approach we described earlier) Figure 1 1) Mark point , which will … Continue reading
A Political roundup August 15 2018
As I remarked to a friend, much of the stuff in (geo)politics which is relevant to us is what we have predicted before based on the relatively straightforward model of mleccha-marūnmattābhisaṃdhi i.e. the anti-heathen coalition of those infected by Abrahamistic … Continue reading
Posted in Politics
Tagged Abrahamism, China, Chinese belligerence, India, political realism
