Who is the author of Chandas Shastra?
Acharya Pingala (piṅgala; c. 3rd/2nd century BCE) was an ancient Indian poet and mathematician, and the author of the Chandaḥśāstra (also called Pingala-sutras), the earliest known treatise on Sanskrit prosody.
What is Pingala famous for?
c. 300 BCE: Indian mathematician Pingala writes about zero, binary numbers, Fibonacci numbers, and Pascal’s triangle.
What does Pingala mean?
A Simple Act of Loving-Kindness: Practicing Metta-Bhavana.
Who wrote Bakhshali manuscript?
L V Gurjar, Ancient Indian Mathematics and Vedha (Poona, 1947). T Hayashi, The Bakhshali manuscript : An ancient Indian mathematical treatise (Groningen, 1995).
What is Pingala formula?
The Fibonacci number was initially called mātrāmeru, by Pingala, the Mathematician. Now it is also known as the Gopala–Hemachandra number. Pingala is also credited with the binomial theorem for the index 2, i.e. for (a+b)2 ( a + b ) 2 , like his contemporary Greek Euclid.
How many types of chandas are there?
There are 26 types of chandas. Each ‘chandas’ is recognized by the number of ‘aksharaas’ or Syllables present in each line of the poem. As an ‘akshara’ can be either a ‘laghuvu’ or a ‘guruvu’, the number of variations possible in each type of ‘chandas’ follows a ‘binary system’.
What are the different types of chandas?
Chandas or Sanskrit prosody is a study of poetic metres and verse in Sanskrit. The metres studied are also called Chanda. These metres are classified based on the syllables present in each pada of the mantras. There are seven major Vedic metres namely गायत्री, उष्णिक्, अनुष्टुभ्, बृहती, पंक्ति, त्रिष्टुभ्, and जगति.
Which Colour is pingala?
Right channel (Pingala) The word pingala means “orange” or “tawny” in Sanskrit.
Where was Bakhshali manuscript written?
Peshawar district
The Bakhshali manuscript. The Bakhshali Manuscript is the name given to the mathematical work written on birch bark and found in the summer of 1881 near the village Bakhshali (or Bakhshalai) of the Yusufzai subdivision of the Peshawar district (now in Pakistan).
Who is the creator of Pingala formula?
Creator of Pingala’s formula. Acharya Pingala ( piṅgala; c. 3rd/2nd century BCE) was an ancient Indian poet and mathematician, and the author of the Chandaḥśāstra (also called Pingala-sutras ), the earliest known treatise on Sanskrit prosody.
What is the nth pattern in Pingala?
As Pingala’s system ranks binary patterns starting at one (four short syllables—binary “0000”—is the first pattern), the nth pattern corresponds to the binary representation of n−1 (with increasing positional values).
Why did Pingala use zero in his writing?
Use of zero is sometimes ascribed to Pingala due to his discussion of binary numbers, usually represented using 0 and 1 in modern discussion, but Pingala used light ( laghu) and heavy ( guru) rather than 0 and 1 to describe syllables.
Who wrote the commentary on the Chandaḥśāstra?
The 10th century mathematician Halayudha wrote a commentary on the chandaḥśāstra and expanded it. The Chandaḥśāstra presents the first known description of a binary numeral system in connection with the systematic enumeration of meters with fixed patterns of short and long syllables. [4]