"proof" nach Englisch mit Beispielen - Kollokationen-Wörterbuch Englisch
- An alternative proof is simply obtained with the rearrangement inequality.
- Torricelli tried several alternative proofs, attempting to prove it's surface area to actually was finite - all of which failed.
- For an alternative proof, consider matrix properties.
- An alternative proof starts from the limit definition of :
- The result was first proved by Otto Hölder in 1887; several alternative proofs have subsequently been found.
- An alternative proof goes as follows, using its own diagram:
- Brauer's induction theorem was proved in 1946, and there are now many alternative proofs.
- An alternative proof uses the completeness theorem, which is otherwise reduced to a marginal role in most of modern model theory.
- For an alternative proof using Cauchy's convergence test, see Alternating series.
- We follow the treatment in Bressoud's book; for an alternative combinatorial proof see the paper by Zeilberger.
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