The Different Ideal
نویسنده
چکیده
The discriminant of a number field K tells us which primes p in Z ramify in OK : the prime factors of the discriminant. However, the way we have seen how to compute the discriminant doesn’t address the following themes: (1) determine which prime ideals in OK ramify (that is, which p in OK have e(p|p) > 1 rather than which p have e(p|p) > 1 for some p), (2) determine the multiplicity of a prime in the discriminant. (We only know the multiplicity is positive for the ramified primes.)
منابع مشابه
Specifying the Saturation Point of Advertising Budget Using Ideal Planning Model
The goal of the current study is to determine the optimal level of advertising beyond which advertising expenditure will not be justified by revenues. To achieve the goal first different types of media were rated by experts as to the degree of their importance. Then data ware collected by interviewing the managers and reviewing different media resources. The collected data were then analyze...
متن کاملSpecifying the Saturation Point of Advertising Budget Using Ideal Planning Model
The goal of the current study is to determine the optimal level of advertising beyond which advertising expenditure will not be justified by revenues. To achieve the goal first different types of media were rated by experts as to the degree of their importance. Then data ware collected by interviewing the managers and reviewing different media resources. The collected data were then analyze...
متن کاملCanonical thermostatics of ideal gas in the frame work of generalized uncertainty principle
The statistical consequences of minimal length supposition are investigated for a canonical ensemble of ideal gas. These effects are encoded in the so-called Generalized Uncertainty Principle (GUP) of the second order. In the frame work of the considered GUP scenario, a unique partition function is obtained by using of two different methods of quantum and classical approaches. It should be noti...
متن کاملA note on "An interval type-2 fuzzy extension of the TOPSIS method using alpha cuts"
The technique for order of preference by similarity to ideal solution (TOPSIS) is a method based on the ideal solutions in which the most desirable alternative should have the shortest distance from positive ideal solution and the longest distance from negative ideal solution. Depending on type of evaluations or method of ranking, different approaches have been proposing to calculate distances ...
متن کاملBorder Basis of an Ideal of Points and its Application in Experimental Design and Regression
In this paper, we consider the problem of computing the order ideal and the corresponding border basis for the vanishing ideal of a given finite set of points with multiplicity The ideal of points has different applications in science and engineering. In this paper, we focus on presenting some models related to a real experiment and show the role of our approach in providing good statistical p...
متن کاملNonlinear vibration analysis of axially moving strings in thermal environment
In this study, nonlinear vibration of axially moving strings in thermal environment is investigated. The vibration haracteristics of the system such as natural frequencies, time domain response and stability states are studied at different temperatures. The velocity of the axial movement is assumed to be constant with minor harmonic variations. It is presumed that the system and the environment...
متن کامل