euler number sentence in Hindi
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- Bernoulli numbers can be expressed through the Euler numbers and vice versa.
- The coefficients are the Euler numbers of odd and even index, respectively.
- These conversion formulas express an inverse relation between the Bernoulli and the Euler numbers.
- The in the expansion of are Euler numbers.
- The name Euler numbers in particular is sometimes used for a closely related sequence.
- The Euler numbers appear in the Taylor series expansions of the secant and hyperbolic secant functions.
- This asymptotic equation reveals that lies in the common root of both the Bernoulli and the Euler numbers.
- The errors can in fact be predicted; they are generated by the Euler numbers according to the asymptotic formula
- See and . ( ) / ( ) are the second ( fractional ) Euler numbers and an autosequence of the second kind.
- These enumerate the number of alternating permutations on " n " letters and are related to the Euler numbers and the Bernoulli numbers.
- In 1992, Jonathan Borwein and Mark Limber used the first thousand Euler numbers to calculate to 5, 263 decimal places with the Leibniz formula.
- These identities show that the quotient of Bernoulli and Euler numbers at the beginning of this section is just the special case of } } when is even.
- The Bernoulli numbers and Euler numbers are best understood as " special views " of these numbers, selected from the sequence and scaled for use in special applications.
- These identities make it easy to compute the Bernoulli and Euler numbers : the Euler numbers are given immediately by and the Bernoulli numbers are obtained from by some easy shifting, avoiding rational arithmetic.
- These identities make it easy to compute the Bernoulli and Euler numbers : the Euler numbers are given immediately by and the Bernoulli numbers are obtained from by some easy shifting, avoiding rational arithmetic.
- Orientation-free metrics of a group of connected or surrounded pixels include the Euler number, the perimeter, the area, the compactness, the area of holes, the minimum radius, the maximum radius.
- For closed smooth manifolds, the Euler characteristic coincides with the "'Euler number "', i . e ., the Euler class of its tangent bundle evaluated on the fundamental class of a manifold.
- Basically, how does one show that the explicit formula ( s ) of the Euler numbers ( given in the article ) define the coefficients of the Taylor series of the secant function ( up to a change in sign )?
- If " M " is a Seifert fiber space, then " M " virtually fibers if and only if the rational Euler number of the Seifert fibration or the ( orbifold ) Euler characteristic of the base space is zero.
- It expresses the relationship between a local pressure drop e . g . over a restriction and the kinetic energy per volume, and is used to characterize losses in the flow, where a perfect frictionless flow corresponds to an Euler number of 0.
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