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 A verbose new disclaimer regarding our writings is up: manasataramgini.wordpress.com/about/ 13 hours ago
 A favorite I'vent eaten in years twitter.com/boseofjapan/st… 15 hours ago
 The American effort toward protecting Indian women https://t.co/rmlgtAA4FG 15 hours ago
 I understand we as ever still playing cricket with Mohd cousins across border. mlechChas are excitement about some… twitter.com/i/web/status/8… 15 hours ago
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Recent Posts
 Some pictures relating to incidence of tuberculosis and AIDS
 Cobwebs on the golden hyperbola and parabola
 bhujākoṭikarṇanyāyaḥ koṭijyānyāyaś ca
 Some personal reflections on Carl Gauss, Bernhard Riemann and associated matters
 The two squares theorem
 Constructing a regular heptagon with hyperbola and parabola
 Infinite bisections required for trisection of an angle
 Sine rugs
 Leaves from the scrapbook2
 Doubling the cube with ellipses
 A superficial look at national population density and some life history features
 Some biological analogies for certain sociopolitical issues
 The magic of the devaogdoad
 Marching onward in the American spring but where to?
 The upper story in a few pictures
 Trigonometric tangles3: the fractals
 Euler’s squares
 Trigonometric tangles2
 Śarabha vidhi
 A prefatory narrative
 Trigonometric tangles
 Some visions of infinity from the past and our times
 Āryabhaṭa and his sine table
 Euler and Ramanujan: primes, near integers and cakravāla
 Early Hindu mathematics and the exploration of some second degree indeterminate equations
 The Rāmāyaṇa and a pararāmāyaṇa in numbersI: epic as religion
 The great faceless man
 lokanīticarcā
 Deliberations on richness and beauty: discovery of some multiparameter iterative maps
 “Like the vidyādhara’s sword”
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Category Archives: History
Some personal reflections on Carl Gauss, Bernhard Riemann and associated matters
The biochemist Albert SzentGyörgyi had famously remarked that as he successively, journeyed for a better understanding of life from cell biology, to physiology, to pharmacology, to bacteriology, to biochemistry, to physical chemistry to quantum mechanics he lost life between his … Continue reading
Posted in History, Life, Scientific ramblings
Tagged Einstein, Euclid, Gauss, geometry, Greek thought, Noneuclidean geometry, Riemann
A superficial look at national population density and some life history features
Over the years we have repeatedly checked out various collections of data pertaining to the human condition in the same manner as we attempted to apprehend scientific data. We have wondered whether to write on them in any detail. We … Continue reading
Posted in History, Life, Politics
Tagged Afghanistan, Africa, city states, India, IQ, Japan, life expectancy, population density, statistics
Some biological analogies for certain sociopolitical issues
In Hindu society we often see certain relatively straightforward sociopolitical issues endlessly debated. A person with relatively commonplace IQ should in principle easily arrive a correct apprehension of these issues by applying correct analogy and/or logic. However, due to emotionalism … Continue reading
Posted in Heathen thought, History
Tagged analogical thinking, biology, IndoAryan, language, relgion, Sanskrit
Some visions of infinity from the past and our times
The great Hindu mathematician and astronomer BhāskaraII’s work preserves a highpoint of Hindu knowledge. His work contains ideas that are often seen as characterizing “modern” scientific understanding i.e. what in the west would seen as starting with Leibniz and Newton … Continue reading
Posted in Heathen thought, History, Scientific ramblings
Tagged bhAskara, Devil's staircase, fractal, fractals, geometry, infinity, mathematics, Minkowski, nested structures, philosophy, questionmark function, religion, zero
Āryabhaṭa and his sine table
Everyone and his son have written about Āryabhaṭa and his sine table. Yet we too do this because sometimes the situation arises where you have to explain things clearly to a layman who might have some education but is unfamiliar … Continue reading
Posted in Heathen thought, History, Scientific ramblings
Tagged AryabhaTa, astronomy, Hindu mathematics, Hindu science, history of science, mathematics, siddhAnta, sine table, sines, trigonometry
Early Hindu mathematics and the exploration of some second degree indeterminate equations
The following is merely a record of our exploration as a nonmathematician/noncomputer scientist of a remarkable (at least to us) class of numerical relationships. An equation like can be solved to obtain specific solutions as: . However, if we have … Continue reading
The Rāmāyaṇa and a pararāmāyaṇa in numbersI: epic as religion
This note may be read as part of our studies on the Rāmāyaṇa and paraRāmāyaṇas of which an earlier part is presented here. A study of the epic in IndoEuropean tradition suggests that there were two registers of the old … Continue reading
Posted in Heathen thought, History