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  2. Pingala - Wikipedia

    en.wikipedia.org/wiki/Pingala

    In Pingala's system, the numbers start from number one, and not zero. Four short syllables "0000" is the first pattern and corresponds to the value one. The numerical value is obtained by adding one to the sum of place values. [13] Pingala's work also includes material related to the Fibonacci numbers, called mātrāmeru. [14]

  3. Indian mathematics - Wikipedia

    en.wikipedia.org/wiki/Indian_mathematics

    Pingala's work also contains the basic ideas of Fibonacci numbers (called maatraameru). Although the Chandah sutra hasn't survived in its entirety, a 10th-century commentary on it by Halāyudha has. Halāyudha, who refers to the Pascal triangle as Meru -prastāra (literally "the staircase to Mount Meru"), has this to say:

  4. Virahanka - Wikipedia

    en.wikipedia.org/wiki/Virahanka

    Virahanka (Devanagari: विरहाङ्क) was an Indian prosodist who is also known for his work on mathematics.He may have lived in the 6th century, but it is also possible that he worked as late as the 8th century.

  5. Kaṇita Tīpikai - Wikipedia

    en.wikipedia.org/wiki/Kaṇita_Tīpikai

    Kaṇita Tīpikai (Gaṇita Dīpika) is a Tamil book authored by Paṇṭala Rāmasvāmi Nāykkar and published in 1825 dealing with arithmetic. [1] It is the first Tamil book on mathematics ever to be printed and it is the first Tamil book ever to introduce the symbol for zero and also to discuss the decimal place value notation or positional notation using Tamil numerals. [2]

  6. Timeline of numerals and arithmetic - Wikipedia

    en.wikipedia.org/wiki/Timeline_of_numerals_and...

    c. 300 BC — Indian mathematician Pingala writes the “Chhandah-shastra”, which contains the first Indian use of zero as a digit (indicated by a dot) and also presents a description of a binary numeral system, along with the first use of Fibonacci numbers and Pascal's triangle.

  7. History of combinatorics - Wikipedia

    en.wikipedia.org/wiki/History_of_combinatorics

    In the second century BC, Pingala included an enumeration problem in the Chanda Sutra (also Chandahsutra) which asked how many ways a six-syllable meter could be made from short and long notes. [ 11 ] [ 12 ] Pingala found the number of meters that had n {\displaystyle n} long notes and k {\displaystyle k} short notes; this is equivalent to ...

  8. Binary number - Wikipedia

    en.wikipedia.org/wiki/Binary_number

    The binary representations in Pingala's system increases towards the right, and not to the left like in the binary numbers of the modern positional notation. [15] In Pingala's system, the numbers start from number one, and not zero. Four short syllables "0000" is the first pattern and corresponds to the value one.

  9. Nadi (yoga) - Wikipedia

    en.wikipedia.org/wiki/Nadi_(yoga)

    The number of nadis of the human body is claimed to be up to hundreds-of-thousands and even millions. The Shiva Samhita treatise on yoga states, for example, that out of 350,000 nadis 14 are particularly important, and among them, the three just mentioned are the three most vital. [1] The three principal nadis are ida, pingala, and sushumna. [2]