Author Archives: mAnasa-taraMgiNI

A brief overview of the last campaign of Chingiz Khan and the issue of succession in the Mongol empire

Succession is always an important issue in history. The legacy of a mighty ruler and/or founder of an empire might quickly unravel if the issue of succession is left unresolved. In Hindu history the Gupta-s were marked with glory because … Continue reading

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The mean hyperbola and other mean functions

Let be two numbers such that, We use to construct a specific rectangular hyperbola using one of the following methods: Method-I (Figure 1: this is based on an approach we described earlier) Figure 1 1) Mark point , which will … Continue reading

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A Political roundup August 15 2018

As I remarked to a friend, much of the stuff in (geo)politics which is relevant to us is what we have predicted before based on the relatively straightforward model of mleccha-marūnmattābhisaṃdhi i.e. the anti-heathen coalition of those infected by Abrahamistic … Continue reading

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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

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Reflections on our journey through the aliquot sums and sequences

The numerology of aliquot sums and perfect numbers The numerology of the Pythagorean sages among the old yavana-s is one of the foundations of science and mathematics as we know it. One remarkable class of numbers which they discovered were … Continue reading

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The ghost in the tattered Gattermann

Vidrum had dropped by to see Somakhya and Lootika when they had just started their household together. They had reconstituted a fairly elaborate lab in the biggest room of their home. They had also completely set up their fire room, … Continue reading

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The hearts and the intrinsic Cassinian curve of an ellipse

Introduction This investigation began with our exploration of pedal curves during the vacation following our university entrance exams in the days of our youth. It led to us discovering for ourselves certain interesting heart-shaped curves, which are distinct from the … Continue reading

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