Sanskrit prosodySanskrit prosody or Chandas refers to one of the six Vedangas, or limbs of Vedic studies. It is the study of poetic metres and verse in Sanskrit. This field of study was central to the composition of the Vedas, the scriptural canons of Hinduism, so central that some later Hindu and Buddhist texts refer to the Vedas as Chandas. The Chandas, as developed by the Vedic schools, were organized around seven major metres, and each had its own rhythm, movements and aesthetics.
KātyāyanaKātyāyana (कात्यायन) also spelled as Katyayana (est. 6th to 3rd century BCE) was a Sanskrit grammarian, mathematician and Vedic priest who lived in ancient India. According to some legends, he was born in the Katya lineage originating from Vishwamitra, thus called Katyayana. The Kathāsaritsāgara mentions Kātyāyana as another name of Vararuci, a re-incarnation of Lord Shiva's gana or follower Pushpadanta.
Pascal's triangleIn mathematics, Pascal's triangle is a triangular array of the binomial coefficients arising in probability theory, combinatorics, and algebra. In much of the Western world, it is named after the French mathematician Blaise Pascal, although other mathematicians studied it centuries before him in Persia, India, China, Germany, and Italy. The rows of Pascal's triangle are conventionally enumerated starting with row at the top (the 0th row). The entries in each row are numbered from the left beginning with and are usually staggered relative to the numbers in the adjacent rows.
PatanjaliPatanjali (Patañjali), also called Gonardiya or Gonikaputra, was a Siddhar; a Hindu author, mystic and philosopher. Estimates based on analysis of his works suggests that he may have lived between the 2nd century BCE and the 4th century CE. He is believed to be an author and compiler of a number of Sanskrit works. The greatest of these are the Yoga Sutras, a classical yoga text. There is speculation as to whether the sage Patañjali is the author of all the works attributed to him, as there are a number of known historical authors of the same name.
Fibonacci sequenceIn mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn . The sequence commonly starts from 0 and 1, although some authors start the sequence from 1 and 1 or sometimes (as did Fibonacci) from 1 and 2. Starting from 0 and 1, the first few values in the sequence are: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.
Sanskrit literatureSanskrit literature broadly comprises all literature in the Sanskrit language. This includes texts composed in the earliest attested descendant of the Proto-Indo-Aryan language known as Vedic Sanskrit, texts in Classical Sanskrit as well as some mixed and non-standard forms of Sanskrit. Literature in the older language begins with the composition of the Ṛg·veda between about 1500 and 1000 BCE, followed by other Vedic works right up to the time of the grammarian Pāṇini around 6th or 4th century BCE (after which Classical Sanskrit texts gradually became the norm).
Binary numberA binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression which uses only two symbols: typically "0" (zero) and "1" (one). The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit, or binary digit. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices, as a preferred system of use, over various other human techniques of communication, because of the simplicity of the language and the noise immunity in physical implementation.
00 (zero) is a number representing an empty quantity. As a number, 0 fulfills a central role in mathematics as the additive identity of the integers, real numbers, and other algebraic structures. In place-value notation such as decimal, 0 also serves as a numerical digit to indicate that that position's power of 10 is not multiplied by anything or added to the resulting number. This concept appears to have been difficult to discover. Common names for the number 0 in English are zero, nought, naught (nɔːt), nil.
