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 IQ vs total fertility rate per woman new plot for 161 countries. Negative correlation. https://t.co/ecpsFJWxiN 21 hours ago
 That intriguing thread by Brian Skinner on questionable identical noise patterns in a deshI physics manuscript remi… twitter.com/i/web/status/1… 21 hours ago
 RT @NatureNews: Renaissance anatomist Andreas Vesalius’s De humani corporis fabrica revolutionized how people pictured the human body. http… 23 hours ago
 Tertiary school expectancy life measure the expected number of years of schooling that a student might complete. It… twitter.com/i/web/status/1… 1 day ago
 The United Nations gathers data on all kind of things and makes it available public except IQ. It appears neither t… twitter.com/i/web/status/1… 1 day ago
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Recent Posts
 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
 Mongolica: Knowledge preservation and generation, Bolad Aqa and the like
 Civilizational collapse, complexity, innovation and neomania
 Astronomical experiments: a preliminary look at globular clusters
 Frustrations and ramblings ensuing from Cretaceous amber
 Of lives of men; of times of menIII
 Pattern formation in coupled map lattices with the circle map, tanh map, and Chebyshev map
 Some novel observations concerning quadratic roots and fractal sequences
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Tag Archives: fractal
The geometric principles behind discrete dynamical systems based on the generalized Witch of Agnesi
Consider the family of curves defined by the equation following parametric equation , where and It defines a family of probability distribution functions (PDFs): This can be seen from the above equations because Figure 1 Examples of these PDFs are … Continue reading
Posted in Scientific ramblings
Tagged arithmetic, chaos, chaotic flows, dynamics, fractal, fractals, geometry, GumowskiMira, mathematics, numbers, prime numbers
Some novel observations concerning quadratic roots and fractal sequences
Disclaimer: To our knowledge we have not found the material presented here laid out here presented in completeness elsewhere. However, we should state that we do not follow the mathematical literature as a professional and could have missed stuff. Introduction … Continue reading
Posted in Scientific ramblings
Tagged floor, fractal, fractals, integers, quadratic equation, quadratic root, sequence, square root
The incredible beauty of certain Hamiltonian mappings
In our teens we studied Hamiltonian functions a little bit as part of our attempt to understand classical and quantum physics. A byproduct of it was a superficial interest in the geometry of some of the mappings arising from such … Continue reading
Posted in art, Scientific ramblings
Tagged fractal, fractals, geometry, Hamiltonian, mathematical entity, mathematics, Oscillator, physics, recreational geometry, recursion
The SatijaKetoja system
Satija and Ketoja discovered an interesting dynamical system in course of the study of the Schrödinger equation for one electron in a two dimensional periodic lattice on a uniform magnetic ﬁeld. While this equation and its variants have several uses … Continue reading
Posted in art, Scientific ramblings
Tagged attractors, Cauchy distribution, Cauchy flights, Central Limit Theorem, chaos, fractal, fractals, geometry, Ketoja, mathematics, physics, Satija
Some simple maps specifying strange attractors
This note may be read a continuation of: Some reminiscences of our study of chaotic maps2 While the story of the chaotic 2D attractors began with the simplelooking maps of Henon and Lozi, by the early 1990s the highpoint was … Continue reading
Posted in art, Scientific ramblings
Tagged attractors, chaos, chaotic flows, fractal, fractals, geometry, mathematics
The Meru and Nārāyaṇa’s cows: Words and fractals
The fractals described herein are based on and inspired by the work of the mathematicians Rauzy, MendesFrance, Monnerot and Knuth. Some their works, especially the first of them, are dense with formalism. Here we present in simple terms the means … Continue reading
Posted in art, Scientific ramblings
Tagged complex numbers, fractal, fractals, geometry, Golden Ratio, mathematics, Narayana cow sequence, recreational geometry, recursion
Hofstadter and Nārāyaṇa: connections across space and time
The scientistphilosopher Douglas Hofstadter presents an interesting singleseeded sequence H in his book ‘Gödel, Escher, Bach: An Eternal Golden Braid’. It is generated by the recurrence relation, where …(1) Working it out one can see that it takes the form: … Continue reading
Posted in art, Scientific ramblings
Tagged conic sections, conics, fractal, fractals, Geometric construction, geometry, Golden Ratio, Hofstader, mathematics, recreational geometry, recursion, sequence