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Compound verbs, a highly visible feature of Hindi–Urdu grammar, consist of a verbal stem plus a light verb. The light verb (also called "subsidiary", "explicator verb", and "vector" [ 55 ] ) loses its own independent meaning and instead "lends a certain shade of meaning" [ 56 ] to the main or stem verb, which "comprises the lexical core of ...
Hindi-Urdu, also known as Hindustani, has three noun cases (nominative, oblique, and vocative) [1] [2] and five pronoun cases (nominative, accusative, dative, genitive, and oblique). The oblique case in pronouns has three subdivisions: Regular, Ergative , and Genitive .
Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
Indian mathematics emerged in the Indian subcontinent [1] from 1200 BCE [2] until the end of the 18th century. In the classical period of Indian mathematics (400 CE to 1200 CE), important contributions were made by scholars like Aryabhata, Brahmagupta, Bhaskara II, Varāhamihira, and Madhava.
Henry Thomas Colebrooke, Algebra, with Arithmetic and mensuration, from the Sanscrit of Brahmegupta and Bháscara, Page 24, chap 2/3; 1842. Amichandra Shravaga of Jaipur translated Lilavati into Hindi. [4] 1936. Pidaparti Krishnamurti Sastry translated the work into Telugu language and it was published by Srividya press, Vizianagaram. [5] 1975 ...
The roots of a polynomial expression of degree n, or equivalently the solutions of a polynomial equation, can always be written as algebraic expressions if n < 5 (see quadratic formula, cubic function, and quartic equation). Such a solution of an equation is called an algebraic solution.
The term algebra is derived from the Arabic word al-jabr meaning 'the reunion of broken parts' that he used for naming one of these methods in the title of his main treatise. [31] [32] Algebra became an area in its own right only with François Viète (1540–1603), who introduced the use of variables for representing unknown or unspecified ...