legendre symbol वाक्य
उदाहरण वाक्य
मोबाइल
- There is another way the Jacobi and Legendre symbols differ.
- The Legendre symbol is only defined for odd primes " p ".
- If " m " is prime, the Jacobi and Legendre symbols agree.
- This law, combined with the properties of the Legendre symbol, means that any Legendre symbol can be calculated.
- This law, combined with the properties of the Legendre symbol, means that any Legendre symbol can be calculated.
- The classical lemma for the quadratic Legendre symbol is the special case,, } }, if, if.
- But we are not supposed to use the Gaussian reciprocity law, only the Legendre symbol and some of its basic properties.
- One advantage of this notation over Gauss's is that the Legendre symbol is a function that can be used in formulas.
- The Legendre symbol was introduced by Adrien-Marie Legendre in 1798 in the course of his attempts at proving the law of quadratic reciprocity.
- The following facts, even the reciprocity laws, are straightforward deductions from the definition of the Jacobi symbol and the corresponding properties of the Legendre symbol.
- *PM : properties of the Legendre symbol, id = 8418 new !-- WP guess : properties of the Legendre symbol-- Status:
- *PM : properties of the Legendre symbol, id = 8418 new !-- WP guess : properties of the Legendre symbol-- Status:
- *PM : values of the Legendre symbol, id = 8425 new !-- WP guess : values of the Legendre symbol-- Status:
- *PM : values of the Legendre symbol, id = 8425 new !-- WP guess : values of the Legendre symbol-- Status:
- Simply pick an a and by computing the Legendre symbol ( a ^ 2-n | p ) one can see whether a satisfies the condition.
- In number theory, he conjectured the quadratic reciprocity law, subsequently proved by Gauss; in connection to this, the Legendre symbol is named after him.
- :Also, if you interpret the typographic construction monolithically, the legendre symbol might count . talk ) 13 : 54, 28 April 2011 ( UTC)
- The motivation for this definition is the fact that all prime numbers " n " satisfy the above equation, as explained in the Legendre symbol article.
- The notational convenience of the Legendre symbol inspired introduction of several other " symbols " used in algebraic number theory, such as the Hilbert symbol and the Artin symbol.
- It follows from the multiplicativity of the Legendre symbol that 2, & minus; 2 or & minus; 1 is a square modulo " p ".
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