Category:Discriminants of Polynomials
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This category contains results about Discriminants of Polynomials.
Definitions specific to this category can be found in Definitions/Discriminants of Polynomials.
Let $k$ be a field.
Let $\map f X \in k \sqbrk X$ be a polynomial of degree $n$.
Let $\overline k$ be an algebraic closure of $k$.
Let the roots of $f$ in $\overline k$ be $\alpha_1, \alpha_2, \ldots, \alpha_n$.
Then the discriminant $\map \Delta f$ of $f$ is defined as:
- $\ds \map \Delta f := \prod_{1 \mathop \le i \mathop < j \mathop \le n} \paren {\alpha_i - \alpha_j}^2$
Subcategories
This category has only the following subcategory.
Pages in category "Discriminants of Polynomials"
The following 2 pages are in this category, out of 2 total.