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 An article of ours on beetles in old H thought. charaka was one of the first to report the effects of cantharidin i… twitter.com/i/web/status/1… 24 minutes ago
 While it is possible to do linguistics without philology, I believe it is of an inferior kind. Linguistics done wit… twitter.com/i/web/status/1… 38 minutes ago
 Leaves from the scrapbook3 manasataramgini.wordpress.com/2019/02/23/lea… 58 minutes ago
 the marUnmattas understand only one language well and the chInas know how to speak to them in it 15 hours ago
 Further notes on the parasitological tradition in early H medicine as taught by punarvasu Atreya to Agnivesha. From… twitter.com/i/web/status/1… 1 day ago
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 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
 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
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Tag Archives: dynamics
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
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
The remarkable behavior of a map displaying derived from a simple model for a biological conflict
One of the simplest yet profound mathematical models for biological growth emerged sometime in the middle of the 1800s due to the work of Verhulst. It describes population growth thus: let be the population of the organism at time . … Continue reading
Posted in Scientific ramblings
Tagged biological conflict, biology, chaos, dynamics, ellipse, geometry, mathematical entity, mathematics, polygons, trigonometry
Pattern formation in coupled map lattices with the circle map, tanh map, and Chebyshev map
The coupled map lattices (CMLs), first defined by Kunihiko Kaneko around the same time Wolfram was beginning to explore cellular automata, combine features of cellular automata with chaotic maps. The simplest CMLs are defined on a one dimensional lattice with … Continue reading
Posted in Scientific ramblings
Tagged cellular automata, chaos, CML, coupled map lattice, dynamics, evolution, oscillators
Time, world history, or the lack thereof
Many years ago in our old home we came across a book won by the bhArgavatrasadasyau in a contest that had the autobiographies of many a EuroAmerican figure. At that point we were impressed by certain threads in the German … Continue reading
Posted in Heathen thought, History, Life
Tagged atharva veda, cyclic, dynamics, Germanic, Hindu, Hindu science, kAla, linear, Mongols, Oswald Spengler, time, world history