Ramanujan summation

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• ID : Q3533072

말뭉치

1. The Ramanujan Summation also has had a big impact in the area of general physics, specifically in the solution to the phenomenon know as the Casimir Effect.
2. Ramanujan summation is a technique invented by the mathematician Srinivasa Ramanujan for assigning a value to divergent infinite series.
3. Ramanujan summation essentially is a property of the partial sums, rather than a property of the entire sum, as that doesn't exist.
4. In the following text, ( ℜ ) {\displaystyle (\Re )} indicates "Ramanujan summation".
5. More advanced methods are required, such as zeta function regularization or Ramanujan summation.
6. Smoothing is a conceptual bridge between zeta function regularization, with its reliance on complex analysis, and Ramanujan summation, with its shortcut to the Euler–Maclaurin formula.
7. Ramanujan summation is a method to isolate the constant term in the Euler–Maclaurin formula for the partial sums of a series.
8. The regularity requirement prevents the use of Ramanujan summation upon spaced-out series like 0 + 2 + 0 + 4 + ⋯, because no regular function takes those values.

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위키데이터

• ID : Q3533072

Spacy 패턴 목록

• [{'LOWER': 'ramanujan'}, {'LEMMA': 'summation'}]