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Revision difference : imaginary quadratic field |
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| A quadratic number field \,$\mathbb{Q}(\sqrt{d})$,\, where $d$ is a negative squarefree integer, is called a {\em imaginary quadratic field}. |
A quadratic number field \,$\mathbb{Q}(\sqrt{d})$,\, where $d$ is a negative squarefree integer, is called a {\em imaginary quadratic field}. |
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| The name may be thought to describe the fact that such a quadratic field \PMlinkescapetext{contains} ``imaginary numbers'' (in the sense `non-real complex numbers'). |
The name may be thought to describe the fact that such a quadratic field \PMlinkescapetext{contains} ``imaginary numbers'' (in the sense `non-real complex numbers'). |
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| Other quadratic fields are {\em real quadratic fields}. |
Other quadratic fields are {\em real quadratic fields}. |
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