reciprocity law वाक्य
उदाहरण वाक्य
मोबाइल
- In the second one ( 1832 ) he stated the biquadratic reciprocity law for the Gaussian integers and proved the supplementary formulas.
- Indeed, it was in the process of generalization of this theorem that Goro Shimura introduced his varieties and proved his reciprocity law.
- Hilbert's reciprocity law follows from the Artin reciprocity law and the definition of the Hilbert symbol in terms of the Artin symbol.
- Hilbert's reciprocity law follows from the Artin reciprocity law and the definition of the Hilbert symbol in terms of the Artin symbol.
- The latter property is called the " global reciprocity law " and is a far reaching generalization of the Gauss quadratic reciprocity law.
- The latter property is called the " global reciprocity law " and is a far reaching generalization of the Gauss quadratic reciprocity law.
- In number theory, he conjectured the quadratic reciprocity law, subsequently proved by Gauss; in connection to this, the Legendre symbol is named after him.
- 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.
- A " power reciprocity law " may be formulated as an analogue of the law of quadratic reciprocity in terms of the Hilbert symbols as
- There are also several explicit reciprocity laws for various generalizations of the Hilbert symbol to higher local fields, " p "-divisible groups, and so on.
- This produces significant advantages in situations where the behavior at one place can affect the behavior at other places, as in the Artin reciprocity law.
- But that may not last; distributors and legislators in some of those states are working to repeal the reciprocity laws, as Maine did last year.
- The fact that the sum of all local invariants of a central simple algebra over " K " is zero is a typical reciprocity law.
- For example, excellent reciprocity law is not an inherent property of tabular crystals but rather the result of other techniques introduced at about the same time.
- It forms the starting point in his formulation of the reciprocity law, where an important role is played by certain arithmetically defined "'special points " '.
- Several hypersensitization or " hypering " techniques have been developed to overcome this failure of the reciprocity law, and what follows refers mainly to work in astronomy.
- Gives a historical discussion of some early reciprocity laws, including a proof of Eisenstein's law using Gauss and Jacobi sums that is based on Eisenstein's original proof.
- While in Breslau, Dirichlet continued his number theoretic research, publishing important contributions to the biquadratic reciprocity law which at the time was a focal point of Gauss's research.
- For more general number fields, class field theory, specifically the Artin reciprocity law gives an answer by describing " G " ab in terms of the idele class group.
- The Artin reciprocity law, which is a high level generalisation of the Gauss quadratic reciprocity law, states that the product vanishes on the multiplicative group of the number field.
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