dirichlet integral वाक्य
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- The Dirichlet integral defines a seminorm on \ mathcal { D } ( \ Omega ).
- The Dirichlet distribution and the Dirichlet process, based on the Dirichlet integral, are named after him.
- The first integral, the Dirichlet integral, is absolutely convergent for positive ? but only conditionally convergent when ? is 0.
- This paper gave the first rigorous proof of the convergence of Fourier series under fairly general conditions ( piecewise continuity and monotonicity ) by considering partial sums, which Dirichlet transformed into a particular Dirichlet integral involving what is now called the Dirichlet kernel.
- The random variable \ frac { \ sin ( x ) e ^ x } { x } has no expected value according to Lebesgue integration, but using conditional convergence and interpreting the integral as a Dirichlet integral, which is an improper Riemann integral, we can say:
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