Definition of Irreducibilis. Meaning of Irreducibilis. Synonyms of Irreducibilis

Here you will find one or more explanations in English for the word Irreducibilis. Also in the bottom left of the page several parts of wikipedia pages related to the word Irreducibilis and, of course, Irreducibilis synonyms and on the right images related to the word Irreducibilis.

Definition of Irreducibilis

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Meaning of Irreducibilis from wikipedia

- In algebra, casus irreducibilis (from Latin 'the irreducible case') is one of the cases that may arise in solving polynomials of degree 3 or higher with...
- solutions in radicals involve roots of complex numbers. This is casus irreducibilis for the quintic, which is discussed in Dummit.: p.17  Indeed, if an...
- for the solutions of this equation, because it is an example of casus irreducibilis. The approximate lengths of the diagonals in terms of the side of the...
- root test, if the cubic is irreducible; this is the so-called casus irreducibilis ("irreducible case"). This conundrum led Italian mathematician Gerolamo...
- straightedge. Otherwise, it is solvable in radicals, but one are in the casus irreducibilis, that is, every expression of the roots in terms of radicals involves...
- This case has thus been called casus irreducibilis, meaning irreducible case in Latin. In casus irreducibilis, Cardano's formula can still be used, but...
- and taking nth roots without resorting to complex numbers (see casus irreducibilis). For example, consider the algebraic function determined by the equation...
- emergence of algebra due to Fibonacci to the new research on casus irreducibilis in the 18th century. This work can be considered the first professional...
- function § Reducible quartics Cubic function § Factorization Casus irreducibilis, the irreducible cubic with three real roots Quadratic equation § Quadratic...
- has three real roots but is irreducible in Q[x] (the so-called casus irreducibilis), then the roots cannot be expressed from the coefficients using real...