Results 231 to 240 of about 11,675,638 (278)
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Journal of Symbolic Logic, 2000
AbstractA minimal field of non-zero characteristic is algebraically closed.
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AbstractA minimal field of non-zero characteristic is algebraically closed.
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Field emission, field ionization, and field desorption
Surface Science, 1994Abstract A brief description of the essential features of the theory of field emission, field ionization, field desorption, and the field emission and field ion microscopes is presented. The principal applications of field emission including work function and surface diffusion measurements, and a brief sketch of the theory of diffusion are also given.
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1998
Abstract We shall now go rather more deeply into the theory of fields. In many ways a field is the best sort of system to work with, because it is always possible to divide by a non-zero element. The material of this chapter has many uses in the remainder of the book.
A W Chatters, C R Hajarnavis
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Abstract We shall now go rather more deeply into the theory of fields. In many ways a field is the best sort of system to work with, because it is always possible to divide by a non-zero element. The material of this chapter has many uses in the remainder of the book.
A W Chatters, C R Hajarnavis
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From field to Field (to field): An archaeological smorgasbord
2014This resource is a single blog post created as part of the Day of Archaeology initiative. The Day of Archaeology project aimed to provide a window into the daily lives of archaeologists from all over the world. The project asked people working, studying or volunteering in the archaeological world to participate in a 'Day of Archaeology' each year by ...
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Introduction: Fields in transition - Fields in action
Poetics, 2009The manner in which cultural content is produced, evaluated, and consumed in society is subject to long-term as well as short-term changes. Building on Bourdieu's field concept, the six contributions to this special issue all seek to illuminate such changes, by analyzing the ways individuals and organizations act and interact in larger institutional ...
Dowd, TJ +2 more
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1997
We have now given two proofs of the Fundamental Theorem of Algebra. Both of these involved much more analysis (calculus) than algebra. The first relied on the analytic properties of two-variable real-valued functions from advanced calculus as well as the continuity of real polynomials while the second proof followed from the theory of complex analysis.
Benjamin Fine, Gerhard Rosenberger
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We have now given two proofs of the Fundamental Theorem of Algebra. Both of these involved much more analysis (calculus) than algebra. The first relied on the analytic properties of two-variable real-valued functions from advanced calculus as well as the continuity of real polynomials while the second proof followed from the theory of complex analysis.
Benjamin Fine, Gerhard Rosenberger
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2020
The electric and magnetic fields are easily derived from the vector potential using the relations $$\displaystyle \begin{aligned} \mathbf{E}(\mathbf{r},t)=-\frac{{\partial}\mathbf{A}}{{\partial}t}\\ \mathbf{B}(\mathbf{r},t)=\boldsymbol{\nabla}\mathbf{xA}. \end{aligned} $$
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The electric and magnetic fields are easily derived from the vector potential using the relations $$\displaystyle \begin{aligned} \mathbf{E}(\mathbf{r},t)=-\frac{{\partial}\mathbf{A}}{{\partial}t}\\ \mathbf{B}(\mathbf{r},t)=\boldsymbol{\nabla}\mathbf{xA}. \end{aligned} $$
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2002
In this chapter we begin to apply the stochastic limit to purely field theoretical Hamiltonians, i.e. fields interacting with other fields without any discrete system. The basic object to study in quantum field theory is the S-matrix introduced by Heisenberg.
Luigi Accardi +2 more
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In this chapter we begin to apply the stochastic limit to purely field theoretical Hamiltonians, i.e. fields interacting with other fields without any discrete system. The basic object to study in quantum field theory is the S-matrix introduced by Heisenberg.
Luigi Accardi +2 more
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On the Field of Definition for a Field of Automorphic Functions: II
The Annals of Mathematics, 1964The purpose of this paper is to complement the main theorems of the previous papers with the same title, referred to hereafter as [FI] and [FII], and to simplify the proofs. In [FI, II], it was shown that a certain abelian extension k of a certain algebraic number field K' can be determined by a family 1(&2) of abelian varieties belonging to a given ...
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The cell in the field of gravity and the centrifugal field
Journal of Theoretical Biology, 1984It appears that the literature and logic that the earth's gravity has been one factor in the limitation of cell size, as well as being an important influence on the diversity of cell types and sizes throughout biological evolution. Analysis of the literature reveals an inverse relationship between the centrifugal force needed for intracellular ...
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