Author Archives: mAnasa-taraMgiNI

A modern glance at Nārāyaṇa-paṇḍita’s combinatorics-1

For improved reading experience one may use the PDF version. Students of the history of Hindu mathematics are well-acquainted with Nārāyaṇa-paṇḍita’s sophisticated treatment of various aspects of combinatorics and integer sequences in his Gaṇita-kaumudī composed in 1356 CE. In that … Continue reading

Posted in Heathen thought, History, Scientific ramblings | Tagged , , , , ,

Kaiṭabha, poison and death: meanderings through tradition

For better reading try PDF version The medical Suśruta-saṃhitā, kalpasthāna, chapter 3 contains an unusual mythologem about the origin of poison. It clearly belongs to the Prājāpatya tradition and presents some unusual features. It presented in full below: prajām imām … Continue reading

Posted in Heathen thought, History | Tagged , , , , , , , , , , ,

Chaos, eruptions and root-convergence in one-dimensional maps based on metallic-sequence generating functions

Over the years we have observed or encountered certain natural phenomena that are characterized by rare, sudden eruptive behavior occurring against a background of very low amplitude fluctuations. We first encountered this in astronomy: most remarkably, in the constellation of … Continue reading

Posted in Scientific ramblings | Tagged , , , , , , , , , , , ,

Big fruits and dead giants

The fruits of the elephants nāgo bilvam ivākramya pothayiṣyāmy ahaṃ śiraḥ | alabhyām icchatas tasya kīcakasya durātmanaḥ || Like an elephant seizing a bilva [fruit] I will crush the head of that evil Kīcaka who desires that which ought not … Continue reading

Posted in Heathen thought, Scientific ramblings | Tagged , , , , , , , , , ,

Pearl necklaces for Maheśvara

Śrīpati’s pearl necklace for Maheśvara The brāhmaṇa Śrīpati of the Kāśyapa clan was a soothsayer from Rohiṇīkhaṇḍa, which is in the modern Buldhana district of Maharashtra state. Somewhere between 1030 to 1050 CE he composed several works on mathematics, astronomy … Continue reading

Posted in Heathen thought, History, Scientific ramblings | Tagged , , , , , , , , , , , ,

Nārāyaṇa’s sequence, Mādhava’s series and pi

The coin-toss problem and Nārāyaṇa’s sequence If you toss a fair coin times how many of the possible result-sequences of tosses will not have a successive run of 3 or more Heads? The same can be phrased as given tosses … Continue reading

Posted in Heathen thought, History, Scientific ramblings | Tagged , , , , , , , , , , , , , , , , , ,

Discovering bronze in the characteristic ellipse of right triangles

The arithmetic mean square of a right triangle An entire family of right triangles that includes all the different forms of right triangles defined in terms of the proportion of their legs can be obtained by setting their altitude to … Continue reading

Posted in Scientific ramblings | Tagged , , , , , , , , , ,