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 Zoological catalogs list almost exactly 200 different species of lizards which are not snakes as being present in I… twitter.com/i/web/status/1… 17 hours ago
 A male Calotes grandisquamis a lizard from the karNATa country often confused for other calotes https://t.co/EXbAHVNLao 17 hours ago
 This paper remarkably claims that the first people reached Madagascar >10,500 YBP, long before Austronesians who br… twitter.com/i/web/status/1… 18 hours ago
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 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
 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
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Tag Archives: Ramanujan
The quotient triangle, the parabolahyperbola sequence, the remainder triangle and perfect numbers
The quotient triangle Consider a positive integer . Then for all do the floor operation . Say , we get , a sequence of quotients of the division . If we do this for all we get the quotient triangular … Continue reading
Posted in Scientific ramblings
Tagged composite numbers, conic sections, conics, division, geometry, mathematics, Nicomachus, pi, prime numbers, Ramanujan
Counting primes, arithmetic functions, Ramanujan and the like
We originally wished to have a tailpiece for our previous note that would describe more precisely the relationship between the Möbius function and the distribution of prime numbers. However, since that would have needed a bit of a detour in … Continue reading
Posted in History, Scientific ramblings
Tagged complex numbers, Euler, Gauss, mathematics, prime numbers, Ramanujan, Riemann
Of lives of men; of times of menII
Of lives of men; of times of menI Vidrum: “When we attended the discussions at the Right Wing Debate club we heard the president Rammandir Mishra repeatedly emphasize that South Asian civilization was not a ‘historycentric’ civilization and that historycentricism … Continue reading
Posted in Heathen thought, History, Life
Tagged ancient Hindu thought, Euler, Gauss, Hindu, Hindu knowledge, Hindu science, Hindus, history, Ramanujan, Riemann, Story, world history
The magic of the devaogdoad
Classical Hindu tradition holds that the ogdoad of devas corresponding to their directions is: Indra: East; Agni: Southeast; Yama: South; Nirṛti: Southwest; Varuṇa: West; Vāyu: Northwest; Kubera: North; Īśāna: Northeast. The central position might be occupied in certain traditions by … Continue reading
Euler and Ramanujan: primes, near integers and cakravāla
Mathematician Watson who worked on the famed notebooks said regarding some of Srinivasa Ramanujan’s equations: “a thrill which is indistinguishable from the thrill which I feel when I enter the Sagrestia Nuovo of the Capella Medici and see before me … Continue reading
Posted in Scientific ramblings
Tagged almost integers, diophantine, e, Hindu mathematics, mathematics, Monstrous moonshine, near integers, Pell, pi, Ramanujan
Ramanujan’s second construction for the approximate squaring of a circle
To experience the greatness of great men one has to relive or redo some acts of theirs to the best of ones ability. In ones youth such enactments might inspire one to make a bid for greatness. Whether this happens … Continue reading
Posted in art, Life, Scientific ramblings
Tagged approximation for pi, Geometric construction, geometry, pi, quadrature of circle, Ramanujan, recreational geometry, square, squaring a circle