trigonometric series sentence in Hindi
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- The trigonometric series given above can be conveniently evaluated using Clenshaw summation.
- In 1916, Menshov completed his dissertation on the topic of trigonometric series.
- One of the historical sources for this theory is the study of trigonometric series.
- The original statements are rather different ( see Zygmund, " Trigonometric Series ", VII . 8 ).
- It can variously be expressed in the form of a definite integral, a trigonometric series, and various other special functions.
- His winning paper contained a solution to the problem of the French analyst Rapha�l Salem on sets of uniqueness of trigonometric series.
- Between 1870 and 1872, Cantor published more papers on trigonometric series, and also a paper defining irrational numbers as convergent sequences of rational numbers.
- Du Bois-Reymond also established that a trigonometric series that converges to a continuous function at every point is the Fourier series of this function.
- The works of the Scottish mathematicians James Gregory in the 17th century and Colin Maclaurin in the 18th century were influential in the development of trigonometric series.
- He wrote in Polish what soon became, in its English translation, the standard text in analysis, the two-volume " Trigonometric Series ".
- Greater insight into the underlying question that motivates the investigation of lacunary power series and lacunary trigonometric series can be gained by re-examining the simple example above.
- His Ph . D . thesis titled " Integral and trigonometric series " ( 1915 ) had a large impact on the subsequent development of the metric theory of functions.
- A solution that satisfies square-integrable initial conditions for " u " and " u t " can be obtained from expansion of these functions in the appropriate trigonometric series.
- There exist continuous functions whose Fourier series converges pointwise but not uniformly; see Antoni Zygmund, Trigonometric Series, vol . 1, Chapter 8, Theorem 1.13, p . 300.
- His main focus was on integral equations and he contributed to work in the areas of functional equations, trigonometric series, mathematical physics, geometry, mechanics, algebra, and the history of mathematics.
- "' Nina Karlovna Bari "'(, November 19, 1901, Moscow July 15, 1961, Moscow ) was a Soviet mathematician known for her work on trigonometric series.
- He was one of the authors of the " Enzyklop�die der mathematischen Wissenschaften " ( " Encyclopedia of mathematical sciences " ), contributing on the topics of trigonometric series and differential equations.
- Bari's last work her 55th publication was a 900-page monograph on the state of the art of trigonometric series theory, which is recognized as a standard reference work for those specializing in function and trigonometric series theory.
- Bari's last work her 55th publication was a 900-page monograph on the state of the art of trigonometric series theory, which is recognized as a standard reference work for those specializing in function and trigonometric series theory.
- In 1932, she became a professor at Moscow State University and in 1935 was awarded the title of Doctor of Physical and Mathematical Sciences, a more prestigious research degree than traditional Ph . D . By this time, she had completed foundational work on trigonometric series.
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