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The program was renamed to National Talent Search Scheme with the NTSE examination now being conducted for classes X, XI, and XII. Currently, the NTSE exam is conducted only for 10th class students in India in two phases with subjects relating to Mental Ability Test and Scholastic Aptitude Test (SAT) for 100 marks each. [6] [7]
The two first subsections, are proofs of the generalized version of Euclid's lemma, namely that: if n divides ab and is coprime with a then it divides b. The original Euclid's lemma follows immediately, since, if n is prime then it divides a or does not divide a in which case it is coprime with a so per the generalized version it divides b.
Lecture Notes in Mathematics is a book series in the field of mathematics, including articles related to both research and teaching. It was established in 1964 and was edited by A. Dold, Heidelberg and B. Eckmann, Zürich. Its publisher is Springer Science+Business Media (formerly Springer-Verlag).
Smale's problems is a list of eighteen unsolved problems in mathematics proposed by Steve Smale in 1998 [1] and republished in 1999. [2] Smale composed this list in reply to a request from Vladimir Arnold, then vice-president of the International Mathematical Union, who asked several mathematicians to propose a list of problems for the 21st century.
[9] In 1880, Charlotte Angas Scott obtained special permission to take the Mathematical Tripos, as women were not normally allowed to sit for that exam. She came eighth on the Tripos of all students taking them, but due to her sex, the title of "eighth wrangler," a high honour, went officially to a male student. [10]
The modularity theorem (formerly called the Taniyama–Shimura conjecture, Taniyama–Shimura–Weil conjecture or modularity conjecture for elliptic curves) states that elliptic curves over the field of rational numbers are related to modular forms in a particular way.
The Maxwell–Boltzmann distribution corresponding to the solar atmosphere. Particle masses are one proton mass, m p = 1.67 × 10 −27 kg ≈ 1 Da, and the temperature is the effective temperature of the Sun's photosphere, T = 5800 K.
Jainism came into prominence during the life of its exemplar, Mahavira. [45] Buddhism , based on the teachings of Gautama Buddha , attracted followers from all social classes excepting the middle class; chronicling the life of the Buddha was central to the beginnings of recorded history in India.