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An Elementary Proof of the Quantum Adiabatic Theorem
, 2004
"... We provide an elementary proof of the quantum adiabatic theorem. ..."
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Cited by 13 (2 self)
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We provide an elementary proof of the quantum adiabatic theorem.
AN ELEMENTARY PROOF OF THE CROSS THEOREM IN THE
, 812
"... Abstract. We present an elementary proof of the cross theorem in the case of Reinhardt domains. The results illustrates the wellknown interrelations between the holomorphic geometry of a Reinhardt domain and the convex geometry of its logarithmic image. 1. Introduction. Main ..."
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Abstract. We present an elementary proof of the cross theorem in the case of Reinhardt domains. The results illustrates the wellknown interrelations between the holomorphic geometry of a Reinhardt domain and the convex geometry of its logarithmic image. 1. Introduction. Main
A constructive and elementary proof of Reny’s Theorem ∗.
"... A constructive and elementary proof ..."
AN ELEMENTARY PROOF OF THE LIFTING THEOREM
, 1974
"... An elementary proof is given of the lifting theorem for a complete totally finite measure space, which does not use the martingale theorem or Yitali differentiation. Introduction * In this paper we give a proof of the lifting theorem for a complete totally finite measure space, which involves only e ..."
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An elementary proof is given of the lifting theorem for a complete totally finite measure space, which does not use the martingale theorem or Yitali differentiation. Introduction * In this paper we give a proof of the lifting theorem for a complete totally finite measure space, which involves only
Elementary Proofs on Optimal Stopping
, 2001
"... Elementary proofs of classical theorems on pricing perpetual call and put options in the standard BlackScholes model are given. The method presented does not rely on stochastic calculus and is also applied to give prices and optimal stopping rules for perpetual call options when the stock is driven ..."
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Cited by 1 (0 self)
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Elementary proofs of classical theorems on pricing perpetual call and put options in the standard BlackScholes model are given. The method presented does not rely on stochastic calculus and is also applied to give prices and optimal stopping rules for perpetual call options when the stock
An elementary proof of the JohnsonLindenstrauss Lemma
, 1999
"... The JohnsonLindenstrauss lemma shows that a set of n points in high dimensional Euclidean space can be mapped down into an O(log n=ffl 2 ) dimensional Euclidean space such that the distance between any two points changes by only a factor of (1 \Sigma ffl). In this note, we prove this lemma using ..."
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Cited by 151 (1 self)
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elementary probabilistic techniques. Computer Science Division, UC Berkeley. Email: dasgupta@cs.berkeley.edu. y Computer Science Division, UC Berkeley. Email: angup@cs.berkeley.edu. Supported by NSF grant CCR9505448. 1 Introduction Johnson and Lindenstrauss [6] proved a fundamental result, which said
An elementary proof of a theorem of
 Johnson and Lindenstrauss. Random Structures and Algorithms, 22(1):60 – 65
, 2003
"... ABSTRACT: A result of Johnson and Lindenstrauss [13] shows that a set of n points in high dimensional Euclidean space can be mapped into an O(log n/ � 2)dimensional Euclidean space such that the distance between any two points changes by only a factor of (1 � �). In this note, we prove this theorem ..."
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Cited by 43 (0 self)
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this theorem using elementary probabilistic techniques. © 2003 Wiley Periodicals, Inc. Random Struct. Alg., 22: 60–65, 2002
AN ELEMENTARY PROOF OF BLUNDON’S INEQUALITY
, 2008
"... ABSTRACT. In this note, we give an elementary proof of Blundon’s Inequality. We make use of a simple auxiliary result, provable by only using the Arithmetic Mean Geometric Mean Inequality. ..."
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ABSTRACT. In this note, we give an elementary proof of Blundon’s Inequality. We make use of a simple auxiliary result, provable by only using the Arithmetic Mean Geometric Mean Inequality.
An elementary proof of the hook formula
"... The hooklength formula is a well known result expressing the number of standard tableaux of shape λ in terms of the lengths of the hooks in the diagram of λ. Many proofs of this fact have been given, of varying complexity. We present here an elementary new proof which uses nothing more than the fun ..."
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Cited by 4 (0 self)
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The hooklength formula is a well known result expressing the number of standard tableaux of shape λ in terms of the lengths of the hooks in the diagram of λ. Many proofs of this fact have been given, of varying complexity. We present here an elementary new proof which uses nothing more than
AN ELEMENTARY PROOF OF BORSUK THEOREM
"... In 1933, Borsuk conjectured that any bounded ddimensional set of nonzero diameter can be broken into d + 1 parts of smaller diameter[1]. This conjecture was disproved for large enough d[2, 3, 4, 5, 6, 7], though it is true for low dimensional cases. The paper provides an alternative proof for d = 2 ..."
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In 1933, Borsuk conjectured that any bounded ddimensional set of nonzero diameter can be broken into d + 1 parts of smaller diameter[1]. This conjecture was disproved for large enough d[2, 3, 4, 5, 6, 7], though it is true for low dimensional cases. The paper provides an alternative proof for d
Results 1  10
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224,218