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ELEMENTARY PROPERTIES
"... The equations governing the equilibrium of a perfectly conducting fluid in the presence of a magnetic ..."
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The equations governing the equilibrium of a perfectly conducting fluid in the presence of a magnetic
Elementary Properties Of The Finite Ranks
- Mathematical Logic Quarterly
, 1998
"... . This note investigates the class of finite initial segments of the cumulative hierarchy of pure sets. We show that this class is first-order definable over the class of finite directed graphs and that this class admits a first-order definable global linear order. We apply this last result to show ..."
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Cited by 11 (0 self)
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that FO(!; BIT) = FO(BIT): This note establishes some elementary properties of the finite initial segments of the cumulative hierarchy of pure sets. We define the sets Vn ; n 2 ! by induction as follows: V 0 = ;; Vn+1 = P(Vn ): (Here, P(X) is the power set of X; that is, the set of all subsets of X
Elementary properties of free groups
- Trans. Amer. Math. Soc
, 1973
"... ABSTRACT. In this paper we show that several classes of elementary properties (properties definable by sentences of a first order logic) of groups hold for all nonabelian free groups. These results are obtained by examining special embeddings of these groups into one another which preserve the prope ..."
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Cited by 5 (0 self)
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ABSTRACT. In this paper we show that several classes of elementary properties (properties definable by sentences of a first order logic) of groups hold for all nonabelian free groups. These results are obtained by examining special embeddings of these groups into one another which preserve
A Simple Proof of the Restricted Isometry Property for Random Matrices
- CONSTR APPROX
, 2008
"... We give a simple technique for verifying the Restricted Isometry Property (as introduced by Candès and Tao) for random matrices that underlies Compressed Sensing. Our approach has two main ingredients: (i) concentration inequalities for random inner products that have recently provided algorithmical ..."
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Cited by 631 (64 self)
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algorithmically simple proofs of the Johnson–Lindenstrauss lemma; and (ii) covering numbers for finite-dimensional balls in Euclidean space. This leads to an elementary proof of the Restricted Isometry Property and brings out connections between Compressed Sensing and the Johnson–Lindenstrauss lemma. As a result
ELEMENTARY PROPERTIES OF THE SUBTRACTIVE EUCLIDEAN ALGORITHM
, 1990
"... In a recent article in this journal, T. Moore [4] used a microcomputer to make a study of the length of the Euclidean algorithm in determining the greatest common divisor of two nonzero integers m9 n. Our intention is to make a similar study of the lengths of the subtractive Euclidean algorithm. Rec ..."
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In a recent article in this journal, T. Moore [4] used a microcomputer to make a study of the length of the Euclidean algorithm in determining the greatest common divisor of two nonzero integers m9 n. Our intention is to make a similar study of the lengths of the subtractive Euclidean algorithm. Recall
Scale-space and edge detection using anisotropic diffusion
- IEEE Transactions on Pattern Analysis and Machine Intelligence
, 1990
"... Abstract-The scale-space technique introduced by Witkin involves generating coarser resolution images by convolving the original image with a Gaussian kernel. This approach has a major drawback: it is difficult to obtain accurately the locations of the “semantically mean-ingful ” edges at coarse sca ..."
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Cited by 1887 (1 self)
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that the “no new maxima should be generated at coarse scales ” property of conventional scale space is pre-served. As the region boundaries in our approach remain sharp, we obtain a high quality edge detector which successfully exploits global information. Experimental results are shown on a number of images
A new Smarandache function and its elementary properties
"... Abstract For any positive integer n, we define a new Smarandache function G(n) as the smallest positive integer m such that m∏ k=1 φ(k) is divisible by n, where φ(n) is the Euler function. The main purpose of this paper is using the elementary methods to study the elementary properties of G(n), and ..."
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Abstract For any positive integer n, we define a new Smarandache function G(n) as the smallest positive integer m such that m∏ k=1 φ(k) is divisible by n, where φ(n) is the Euler function. The main purpose of this paper is using the elementary methods to study the elementary properties of G
Elementary properties of minimal and maximal points in Zariski spectra
- University of Manchester, School of Mathematics, Oxford Road, Manchester
, 2010
"... Abstract. We investigate connections between arithmetic properties of rings and topological properties of their prime spectrum. Any property that the prime spectrum of a ring may or may not have, defines the class of rings whose prime spectrum has the given property. We ask whether a class of rings ..."
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Cited by 7 (1 self)
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Abstract. We investigate connections between arithmetic properties of rings and topological properties of their prime spectrum. Any property that the prime spectrum of a ring may or may not have, defines the class of rings whose prime spectrum has the given property. We ask whether a class of rings
Some Cobweb Posets Digraphs’ Elementary Properties and Questions
, 2008
"... A digraph that represents reasonably a scheduling problem should have no cycles i.e. it should be DAG i.e. a directed acyclic graph. Here down we shall deal with special kind of graded DAGs named KoDAGs. For their definition and first primary properties see [1], where natural join of di-bigraphs (d ..."
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Cited by 4 (4 self)
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A digraph that represents reasonably a scheduling problem should have no cycles i.e. it should be DAG i.e. a directed acyclic graph. Here down we shall deal with special kind of graded DAGs named KoDAGs. For their definition and first primary properties see [1], where natural join of di
ELEMENTARY PROPERTIES OF DISTRIBUTIVE LATTICE FREE PRODUCTS
"... ABSTRACT. Let D be the variety of all distributive lattices and let * denote the D-free product operation. In answering a question of G. Gr•itzer, a distributive lattice A, of rather large cardinality, is constructed with the property that for any B GD, A is an elementary substructure of A*B. Hence ..."
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ABSTRACT. Let D be the variety of all distributive lattices and let * denote the D-free product operation. In answering a question of G. Gr•itzer, a distributive lattice A, of rather large cardinality, is constructed with the property that for any B GD, A is an elementary substructure of A*B. Hence
Results 1 - 10
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