converges uniformly造句

• Therefore, a sequence converging uniformly on can be extracted.
• converges uniformly on K as n \ to \ infty.
• Given a system of arbitrarily many mass points that attract each converges uniformly.
• Then there is a subsequence of the converging uniformly to a continuously differentiable function.
• Then the Taylor series of " f " converges uniformly to some analytic function
• In addition the Cauchy formulas for the higher order derivatives show that all these derivatives also converge uniformly.
• Then there exists a subsequence { " f n k " } that converges uniformly on.
• The series coverges absolutely for every z and converges uniformly on every bounded subset of the complex plane.
• For example, if a series of continuous functions converges uniformly, then the limit function is also continuous.
• The Takagi function of parameter " w " is converge uniformly toward T _ w, since:
• This series converges uniformly on compact subsets of the " s "-plane to an entire function.
• Fej閞's theorem states that the above sequence of partial sums converge uniformly to " ? ".
• If the coefficients decay in  ! sufficiently rapidly & mdash; for instance, converges uniformly to " f ".
• The continued fractions on the right hand side will converge uniformly on any closed and bounded set that contains no poles of this function.
• By Montel's theorem, it follows that f ^ n converges uniformly on compacta to the constant " z ".
• As noted above, it actually converges uniformly on a compact subset of " G " if it is equicontinuous on the compact set.
• However, it usually is possible to find an infinite sequence of paths that converge uniformly to some limit, that is, some " limiting " path.
• Thus, in order for a linear G鈚eaux derivative to imply the existence of the Fr閏het derivative, the difference quotients have to converge uniformly for all directions.
• Let { " f k " } be a sequence of holomorphic functions on a connected open set " G " that converge uniformly on multiplicity.
• For example, Fej閞's theorem shows that if one replaces ordinary summation by Ces鄏o summation then the Fourier series of any continuous function converges uniformly to the function.