algebra in the Oxford-Paravia Italian Dictionary

Translations for algebra in the English»Italian Dictionary (Go to Italian»English)

Translations for algebra in the Italian»English Dictionary (Go to English»Italian)

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algebra in the PONS Dictionary

Translations for algebra in the English»Italian Dictionary (Go to Italian»English)

algebra [ˈæl·dʒɪ·brə] N MATH

Translations for algebra in the Italian»English Dictionary (Go to English»Italian)

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algebra
algebra

Monolingual examples (not verified by PONS Editors)

English
The field of population ecology often uses data on life history and matrix algebra to develop projection matrices on fecundity and survivorship.
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Given that the series converges, proving that it is equal to 2 requires only elementary algebra.
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In the above example of the complex numbers viewed as a two-dimensional algebra over the real numbers, the one-dimensional real line is a subalgebra.
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Here, it provides rules for how to deform the classical commutative algebra of observables to a quantum non-commutative algebra of observables.
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One may generalize this notion by replacing the field of scalars by a commutative ring, and thus defining an algebra over a ring.
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The algebra of throws is commonly seen as a feature of cross-ratios since students ordinarily rely upon numbers without worry about their basis.
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So in the finite-dimensional case, the theories of algebras and of coalgebras are dual; studying one is equivalent to studying the other.
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Other examples of mathematical objects might include lines and planes in geometry, or elements and operations in abstract algebra.
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An immediate example of simple algebras are division algebras, where every element has a multiplicative inverse, for instance, the real algebra of quaternions.
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The universal property of the tensor product of vector spaces extends to more general situations in abstract algebra.
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