abscissa of convergenceの例文

• The proof is implicit in the definition of abscissa of convergence.
• In general, the abscissa of convergence does not coincide with abscissa of absolute convergence.
• The real part of the largest pole defining the ROC is called the abscissa of convergence.
• The abscissa of convergence has similar formal properties to the Nevanlinna invariant and it is conjectured that they are essentially the same.
• Generally a Dirichlet series converges if the real part of " s " is greater than a number called the abscissa of convergence.
• For a fractal string \ mathcal { L } with infinitely many lengths, the abscissa of convergence \ sigma is the Minkowski dimension of the set \ partial \ Omega.
• Such a series converges if the real part of " s " is greater than a particular number depending on the coefficients " a " " n " : the abscissa of convergence.
• We compute the abscissa of convergence to be the value of s satisfying 3 ^ s = 2, so that s = \ log _ 3 2 = \ frac { \ log 2 } { \ log 3 } is the Minkowski dimension of the Cantor set.
• In general the "'abscissa of convergence "'of a Dirichlet series is the intercept on the real axis of the vertical line in the complex plane such that there is convergence to the right of it, and divergence to the left . This is the analogue for Dirichlet series of the radius of convergence for power series.