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6,118
High spatial resolution epi using an odd number of interleaves
 Mag. Res. Med
, 1999
"... Ghost artifacts in echoplanar imaging (EPI) arise from phase errors caused by differences in eddy currents and gradient ramping during lefttoright traversal of kx (forward echo) versus righttoleft traversal of kx (reverse echo). Reference scans do not always reduce the artifact and may make imag ..."
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Cited by 2 (0 self)
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space traversals (interleaves) are combined to produce one large data set. In this paper, we show that data obtained from an even number of interleaves cannot be combined to produce only one ghost, and image phase correction cannot be applied. We then show that data obtained from an odd number of interleaves can
TETRAVALENT EDGETRANSITIVE CAYLEY GRAPHS WITH ODD NUMBER OF VERTICES
"... Abstract. A characterisation is given of edgetransitive Cayley graphs of valency 4 on odd number of vertices. The characterisation is then applied to solve several problems in the area of edgetransitive graphs: answering a question proposed by Xu (1998) regarding normal Cayley graphs; providing a ..."
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Abstract. A characterisation is given of edgetransitive Cayley graphs of valency 4 on odd number of vertices. The characterisation is then applied to solve several problems in the area of edgetransitive graphs: answering a question proposed by Xu (1998) regarding normal Cayley graphs; providing
A gravitational lens need not produce an odd number of images
 J. Math. Phys
, 1994
"... Given any spacetime M without singularities and any event O, there is a natural continuous mapping f of a two dimensional sphere into any spacelike slice T not containing O. The set of future null geodesics (or the set of past null geodesics) forms a 2sphere S 2 and the map f sends a point in S 2 ..."
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in S 2 to the point in T which is the intersection of the corresponding geodesic with T. To require that f, which maps a two dimensional space into a three dimensional space, satisfy the condition that any point in the image of f has an odd number of preimages, is to place a very strong condition on f
Absence of gap for infinite half–integer spin ladders with an odd number of legs
, 1995
"... A proof is presented for the absence of gap for spin 1/2 ladders with an odd number of legs, in the infinite leg length limit. This result is relevant to the current discussion of coupled one–dimensional spin systems, a physical realization of which are vanadyl pyrophosphate, (VO)2P2O7, and stoichio ..."
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A proof is presented for the absence of gap for spin 1/2 ladders with an odd number of legs, in the infinite leg length limit. This result is relevant to the current discussion of coupled one–dimensional spin systems, a physical realization of which are vanadyl pyrophosphate, (VO)2P2O7
Linear models and empirical bayes methods for assessing differential expression in microarray experiments.
 Stat. Appl. Genet. Mol. Biol.
, 2004
"... Abstract The problem of identifying differentially expressed genes in designed microarray experiments is considered. Lonnstedt and Speed (2002) derived an expression for the posterior odds of differential expression in a replicated twocolor experiment using a simple hierarchical parametric model. ..."
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Cited by 1321 (24 self)
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sample variances towards a pooled estimate, resulting in far more stable inference when the number of arrays is small. The use of moderated tstatistics has the advantage over the posterior odds that the number of hyperparameters which need to estimated is reduced; in particular, knowledge of the non
Bayes Factors
, 1995
"... In a 1935 paper, and in his book Theory of Probability, Jeffreys developed a methodology for quantifying the evidence in favor of a scientific theory. The centerpiece was a number, now called the Bayes factor, which is the posterior odds of the null hypothesis when the prior probability on the null ..."
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Cited by 1826 (74 self)
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In a 1935 paper, and in his book Theory of Probability, Jeffreys developed a methodology for quantifying the evidence in favor of a scientific theory. The centerpiece was a number, now called the Bayes factor, which is the posterior odds of the null hypothesis when the prior probability on the null
Further Tiling Patterns Involving Islamic Rosettes with an Odd Number of Vertices T.Gangopadhyay
"... Islamic rosette patterns have been extensively studied for their symmetry and aesthetic appeal. This paper presents several new tiling patterns that involve rosettes with an odd number of vertices. ..."
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Islamic rosette patterns have been extensively studied for their symmetry and aesthetic appeal. This paper presents several new tiling patterns that involve rosettes with an odd number of vertices.
Further Tiling Patterns Involving Islamic Stars with an Odd Number of Vertices T.Gangopadhyay
"... Islamic star patterns have been extensively studied for their symmetry and aesthetic appeal. This paper presents a new construction method for generating these stars on computers and for constructing new tiling patterns that involve stars with an odd number of vertices. ..."
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Islamic star patterns have been extensively studied for their symmetry and aesthetic appeal. This paper presents a new construction method for generating these stars on computers and for constructing new tiling patterns that involve stars with an odd number of vertices.
A direct proof of completeness of squeezed oddnumber states
, 1996
"... A direct proof of the resolution of the identity in the odd sector of the Fock space in terms of squeezed number states D(ξ)2m + 1>;D(ξ) = exp((ξa †2 − ξ ∗ a 2)/2) is given. The proof entails evaluation of an integral involving Jacobi polynomials. This is achieved by the use of Racah identities ..."
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A direct proof of the resolution of the identity in the odd sector of the Fock space in terms of squeezed number states D(ξ)2m + 1>;D(ξ) = exp((ξa †2 − ξ ∗ a 2)/2) is given. The proof entails evaluation of an integral involving Jacobi polynomials. This is achieved by the use of Racah
2008): Delay stabilization of rotating waves without odd number limitation
 In: Annual Reviews of Nonlinear Dynamics and Complexity 1
"... A variety of methods have been developed in nonlinear science to stabilize unstable periodic orbits (UPOs) and control chaos [1], following the seminal work by Ott, Grebogi and Yorke [2], who employed a tiny control force to stabilize UPOs embedded in a chaotic attractor [3, 4]. A particularly simpl ..."
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Cited by 3 (2 self)
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A variety of methods have been developed in nonlinear science to stabilize unstable periodic orbits (UPOs) and control chaos [1], following the seminal work by Ott, Grebogi and Yorke [2], who employed a tiny control force to stabilize UPOs embedded in a chaotic attractor [3, 4]. A particularly simple
Results 11  20
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