biquadratic उदाहरण वाक्य

उदाहरण वाक्य

1. Other mathematical operations, such as logarithms and trigonometric functions are to be done with table look up and interpolation, possibly biquadratic.
2. The Kummer extensions in this case also include "'biquadratic extensions "'and more general "'multiquadratic extensions " '.
3. In his second monograph on biquadratic reciprocity Gauss displays some examples and makes conjectures that imply the theorems listed above for the biquadratic character of small primes.
4. In his second monograph on biquadratic reciprocity Gauss displays some examples and makes conjectures that imply the theorems listed above for the biquadratic character of small primes.
5. The two monographs Gauss published on biquadratic reciprocity have consecutively numbered sections : the first contains �� 1 & ndash; 23 and the second �� 24 & ndash; 76.
6. The first set is the biquadratic residues, the third set is the quadratic residues that are not quartic residues, and the second and fourth sets are the quadratic nonresidues.
7. Dirichlet simplified Gauss's proof of the biquadratic character of 2 ( his proof only requires quadratic reciprocity for the integers ) and put the result in the following form:
8. Entry 146, dated 1814 July 9, is the last entry, and records an observation relating biquadratic residues and the lemniscate functions, later proved by Gauss and by.
9. 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.
10. Finally, a footnote in the second ( of two ) monographs on biquadratic reciprocity ( 1832 ) states that cubic reciprocity is most easily described in the ring of Eisenstein integers.