Quadratic surd : An algebraic number that is the root of a quadratic equation.
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These are a subset of the algebraic numbers, and include the quadratic surds.
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Galois proved that the regular continued fraction which represents a quadratic surd ? is purely periodic if and only if ? is a reduced surd.
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More recently, sharper arguments based on the divisor function have shown that " L " ( " D " ), the length of the repeating block for a quadratic surd of discriminant " D ", is given by
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He also proved that if ? is a reduced quadratic surd and ? is its conjugate, then the continued fractions for ? and for ( & minus; 1 / ? ) are both purely periodic, and the repeating block in one of those continued fractions is the mirror image of the repeating block in the other.
How to say quadratic surd in Hindi and what is the meaning of quadratic surd in Hindi? quadratic surd Hindi meaning, translation, pronunciation, synonyms and example sentences are provided by Hindlish.com.
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