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The Vārttikakāra, an elaboration on Pāṇini grammar. Along with the Mahābhāṣya of Patañjali , this text became a core part of the Vyākaraṇa ( grammar ) canon. This was one of the six Vedangas , and constituted compulsory education for students in the following twelve centuries.
Mathematicians of ancient and early medieval India were almost all Sanskrit pandits (paṇḍita "learned man"), [42] who were trained in Sanskrit language and literature, and possessed "a common stock of knowledge in grammar (vyākaraṇa), exegesis (mīmāṃsā) and logic ."
Hindustani is extremely rich in complex verbs formed by the combinations of noun/adjective and a verb. Complex verbs are of two types: transitive and intransitive. [3]The transitive verbs are obtained by combining nouns/adjectives with verbs such as karnā 'to do', lenā 'to take', denā 'to give', jītnā 'to win' etc.
Indian mathematicians have made a number of contributions to mathematics that have significantly influenced scientists and mathematicians in the modern era. One of such works is Hindu numeral system which is predominantly used today and is likely to be used in the future.
Srinivasa Ramanujan Aiyangar [a] (22 December 1887 – 26 April 1920) was an Indian mathematician.Often regarded as one of the greatest mathematicians of all time, though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions, including solutions to mathematical problems then ...
As a result of schwa syncope, the correct Hindi pronunciation of many words differs from that expected from a literal rendering of Devanagari. For instance, राम is Rām (incorrect: Rāma ), रचना is Rachnā (incorrect: Rachanā ), वेद is Véd (incorrect: Véda ) and नमकीन is Namkeen (incorrect Namakeena ).
The consequence of these features is that a mathematical text is generally not understandable without some prerequisite knowledge. For example, the sentence "a free module is a module that has a basis" is perfectly correct, although it appears only as a grammatically correct nonsense, when one does not know the definitions of basis, module, and free module.
Mathematics is essential in the natural sciences, engineering, medicine, finance, computer science, and the social sciences. Although mathematics is extensively used for modeling phenomena, the fundamental truths of mathematics are independent of any scientific experimentation.