Translation for 'absolutely' from English to Polish

absolutely

absolutnie {adv}

kompletnie {adv}

• If "K" is itself absolutely abelian, the genus field may be described as the maximal absolutely abelian extension of "K" unramified at all finite primes: this definition was used by Leopoldt and Hasse.
• Zariski's connectedness theorem gives a rigorous version of the "principle of degeneration" introduced by Federigo Enriques, which says roughly that a limit of absolutely irreducible cycles is absolutely connected.
• A polynomial that is irreducible over any field containing the coefficients is absolutely irreducible.
• The ground system radials do not have to be absolutely straight nor absolutely horizontal.
• The Cantor distribution has a cumulative distribution function that is continuous but not absolutely continuous, and indeed its absolutely continuous part is zero: it is singular continuous.

• When a series of real or complex numbers is absolutely convergent, any rearrangement or reordering of that series' terms will still converge to the same value.
• Absolutely continuous probability distributions as defined above are precisely those with an absolutely continuous cumulative distribution function.
• With the norm in place, absolutely convergent series can be used instead of finite sums.
• If a series of functions is uniformly absolutely-convergent on some neighborhood of each point of a topological space, it is locally uniformly absolutely-convergent.
• The intersection of arbitrarily many absolutely convex sets is again absolutely convex; however, unions of absolutely convex sets need not be absolutely convex anymore.

• If [...] is [...] periodic and absolutely continuous on [...] , then the Fourier series of [...] converges uniformly, but not necessarily absolutely, to [...].
• Baxter's theorem states that the Verblunsky coefficients form an absolutely convergent series if and only if the moments of [...] form an absolutely convergent series and the weight function [...] is strictly positive everywhere.
• If a Dirichlet series is absolutely convergent at [...] , then it is absolutely convergent for all "s" where [...].