diophantine approximation sentence in Hindi
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- In addition, he dealt with the geometry of numbers and Diophantine approximation.
- Diophantine approximations also have important applications in the study of Diophantine equations.
- Sprindzuk's research deals with Diophantine approximation, Diophantine equations and transcendental numbers.
- Also, it appears in the Hurwitz inequality for Diophantine approximations.
- In mathematics, "'Roth's theorem "'is a fundamental result in diophantine approximation to algebraic numbers.
- The field of Diophantine approximation deals with the cases of " Diophantine inequalities ".
- :The name for this general topic is Diophantine approximation.
- Later he moved into diophantine approximation and transcendental number theory, proving the Schneider Lang theorem.
- The study of Diophantine Equations and Diophantine Approximations are still important areas of mathematical research today.
- He was awarded the eighth Frank Nelson Cole Prize in Number Theory for work on Diophantine approximation.
- Thus Diophantine approximations and transcendental number theory are very close areas that share many theorems and methods.
- Littlewood's collaborative work, carried out by correspondence, covered fields in Diophantine approximation and Waring's problem, in particular.
- The outstanding works of Klaus Roth and Alan Baker exemplify what this can do, in diophantine approximation.
- In 1986, Margulis gave a complete resolution of the Oppenheim conjecture on quadratic forms and diophantine approximation.
- With Elon Lindenstrauss and Manfred Einsiedler, Katok made important progress on the Littlewood Conjecture in the theory of Diophantine approximations.
- This apparently trivial remark is used in almost every proof of lower bounds for Diophantine approximations, even the most sophisticated ones.
- He completed his Ph . D . thesis, " On the Hardy-Littlewood Problem of Diophantine Approximations and Its Generalizations, " in 1939.
- One may also study real numbers in relation to rational numbers, e . g ., as approximated by the latter ( Diophantine approximation ).
- Applications of " p "-adic analysis have mainly been in number theory, where it has a significant role in diophantine geometry and diophantine approximation.
- One may also note that the exponent 1 + 1 / " n " + ? is best possible by Dirichlet's theorem on diophantine approximation.
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