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A Probabilistic Approach to Concurrent Mapping and Localization for Mobile Robots
 Machine Learning
, 1998
"... . This paper addresses the problem of building largescale geometric maps of indoor environments with mobile robots. It poses the map building problem as a constrained, probabilistic maximumlikelihood estimation problem. It then devises a practical algorithm for generating the most likely map from ..."
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Cited by 483 (43 self)
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data, alog with the most likely path taken by the robot. Experimental results in cyclic environments of size up to 80 by 25 meter illustrate the appropriateness of the approach. Keywords: Bayes rule, expectation maximization, mobile robots, navigation, localization, mapping, maximum likelihood
FullDiversity, HighRate SpaceTime Block Codes from Division Algebras
 IEEE TRANS. INFORM. THEORY
, 2003
"... We present some general techniques for constructing fullrank, minimaldelay, rate at least one spacetime block codes (STBCs) over a variety of signal sets for arbitrary number of transmit antennas using commutative division algebras (field extensions) as well as using noncommutative division algeb ..."
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Cited by 177 (55 self)
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extensions. In the later half of the paper, we discuss two ways of embedding noncommutative division algebras into matrices: left regular representation, and representation over maximal cyclic subfields. The 4 4 real orthogonal design is obtained by the left regular representation of quaternions. Alamouti
ON MAXIMAL SUBFIELDS OF ENVELOPING SKEWFIELDS IN PRIME CHARACTERISTICS
"... Abstract. As was shown by Schue [6] there always exist two maximal subfields of the enveloping skewfields of a solvable Lie palgebra, such that one is Galois and the second purely inseparable of exponent 1 over the centre. In this paper we obtain similar results for arbitrary solvable Lie algebra ..."
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Abstract. As was shown by Schue [6] there always exist two maximal subfields of the enveloping skewfields of a solvable Lie palgebra, such that one is Galois and the second purely inseparable of exponent 1 over the centre. In this paper we obtain similar results for arbitrary solvable Lie
Subfields of division algebras
, 2007
"... Let A be a finitely generated domain of GK dimension less than 3 over a field K and let Q(A) denote the quotient division algebra of A. Using the ideas of Smoktunowicz, we show that if D is a finitely generated division subalgebras of Q(A) of GK dimension at least 2, then Q(A) is finite dimensional ..."
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and we show that if A is a domain of GK dimension d with the straightening property that is not PI, then the maximal subfields of Q(A) have transcendence degree at most d − 1, proving a special case of a conjecture of Small. 1
T.: On the maximal monotonicity of subdifferential mappings
 Pacific Journal of Mathematics
, 1970
"... The subdifferential of a lower semicontinuous proper convex function on a Banach space is a maximal monotone operator, as well as a maximal cyclically monotone operator. This result was announced by the author in a previous paper, but the argument given there was incomplete; the result is proved her ..."
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Cited by 95 (0 self)
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The subdifferential of a lower semicontinuous proper convex function on a Banach space is a maximal monotone operator, as well as a maximal cyclically monotone operator. This result was announced by the author in a previous paper, but the argument given there was incomplete; the result is proved
On the transcendence degree of subfields of division algebras
"... We study subfields of quotient division algebras of domains of finite GK dimension and introduce a combinatorial property we call the straightening property. We show that many classes of algebras have this straightening property and show that if A is a domain of GK dimension d with this property tha ..."
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that is not PI, then the maximal subfields of the quotient division algebra of A have transcendence degree at most d − 1, proving a special case of a conjecture of Small. 1
SATURATED SUBFIELDS AND INVARIANTS OF FINITE GROUPS
, 808
"... Abstract. Every subfield k(φ) of the field of rational functions k(x1,..., xn) is contained in a unique maximal subfield of the form k(ψ). The element ψ is called generative for the element φ. A subfield of k(x1,..., xn) is called saturated if it contains a generative element of each its element. We ..."
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Abstract. Every subfield k(φ) of the field of rational functions k(x1,..., xn) is contained in a unique maximal subfield of the form k(ψ). The element ψ is called generative for the element φ. A subfield of k(x1,..., xn) is called saturated if it contains a generative element of each its element
Albert Division Algebras in Characteristic three contain Cyclic Cubic Subfields.
"... Abstract. It is shown that a finitedimensional absolutely simple nonsingular Jordan division algebra of degree 3 over a field containing the third roots of unity admits a cyclic cubic subfield. The question as to whether every Albert division algebra contains a cyclic cubic subfield, whose signific ..."
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Cited by 1 (1 self)
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Abstract. It is shown that a finitedimensional absolutely simple nonsingular Jordan division algebra of degree 3 over a field containing the third roots of unity admits a cyclic cubic subfield. The question as to whether every Albert division algebra contains a cyclic cubic subfield, whose
Results 1  10
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1,036