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 Hope H take the necessary lessons from their hero devakIputra when celebrating his birthday 1 day ago
 A biology quiz: What is this organism and name some of groups of living organisms that are closely related to it. https://t.co/CWmnq7H6nT 1 day ago
 What is the ratio of the areas under the three curves here? If you are more curious for what power of x will the a… twitter.com/i/web/status/1… 1 day ago
 A good talk on the ills of medical research: endorse it youtube.com/watch?v=N63skN… 1 day ago
 Biology quiz: what group of organisms is this structure from. https://t.co/6GxMFoFLZp 2 days ago
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 Big fruits and dead giants
 Pearl necklaces for Maheśvara
 Nārāyaṇa’s sequence, Mādhava’s series and pi
 Discovering bronze in the characteristic ellipse of right triangles
 Matters of religion: the Vāyavīyaṃ Kauberavratam
 The Platonic culmination of Euclid and the pentagonhexagondecagon identity
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 From Plato to Euler and back
 Śivagaṇas and Andhakāsuravadha in the Vāmanapurāṇa
 Packing constants for polygonal fractal maps
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 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
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 Newton’s cows
 A novel discrete map exhibiting chaotic behavior
 1859 CE and beyond: Some reflections
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 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
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 A brief overview of the last campaign of Chingiz Khan and the issue of succession in the Mongol empire
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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