Results 1  10
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2,324
Statistics for Experimenters
, 2005
"... R factor = 0.052; wR factor = 0.114; datatoparameter ratio = 18.4. The title compound, [Zn(C8H10F3O2)2(CH4O)2], is a dimethanol coordinated zinc complex with the acetyl acetonate derivative 1,1,1trifluoro5,5dimethylhexane2,4dionate. The bisdiketonate complex, which is isostructural with its ..."
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Cited by 675 (1 self)
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Co analogue, is located on a crystallographic inversion center. The complex is octahedral with basically no distortion, and the methanol molecules are in trans positions with respect to one another. The planes of thediketonate and the ZnO4 unit are tilted by 18.64 (10) against each other. O—H O
A COMPLEX ANALOGUE OF TODA’S THEOREM
"... Abstract. Toda [24] proved in 1989 that the (discrete) polynomial time hierarchy, PH, is contained in the class P #P, namely the class of languages that can be decided by a Turing machine in polynomial time given access to an oracle with the power to compute a function in the counting complexity cla ..."
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Cited by 4 (1 self)
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in an essential way and as such do not extend to the complex case. In this paper, we extend the techniques developed in [2] to the complex projective case. A key role is played by the complex join of quasiprojective complex varieties. As a consequence we obtain a complex analogue of Toda’s theorem. The results
Courcelle’s Theorem: An Extension Complexity Analogue
, 2015
"... Courcelle’s theorem states that given an MSO formula ϕ and a graph G with n vertices and treewidth τ, checking whether G satisfies ϕ or not can be done in time f(τ, ϕ) · n where f is some computable function. We show an analogous result for extension complexity. In particular, we consider the pol ..."
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Courcelle’s theorem states that given an MSO formula ϕ and a graph G with n vertices and treewidth τ, checking whether G satisfies ϕ or not can be done in time f(τ, ϕ) · n where f is some computable function. We show an analogous result for extension complexity. In particular, we consider
A new method for nonparametric multivariate analysis of variance in ecology.
 Austral Ecology,
, 2001
"... Abstract Hypothesistesting methods for multivariate data are needed to make rigorous probability statements about the effects of factors and their interactions in experiments. Analysis of variance is particularly powerful for the analysis of univariate data. The traditional multivariate analogues, ..."
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Cited by 368 (4 self)
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parametric methods because it allows a direct additive partitioning of variation for complex models. It does this while maintaining the flexibility and lack of formal assumptions of other nonparametric methods. The teststatistic is a multivariate analogue to Fisher's Fratio and is calculated directly from any
On the (im)possibility of obfuscating programs
 Lecture Notes in Computer Science
, 2001
"... Informally, an obfuscator O is an (efficient, probabilistic) “compiler ” that takes as input a program (or circuit) P and produces a new program O(P) that has the same functionality as P yet is “unintelligible ” in some sense. Obfuscators, if they exist, would have a wide variety of cryptographic an ..."
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Cited by 348 (24 self)
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and complexitytheoretic applications, ranging from software protection to homomorphic encryption to complexitytheoretic analogues of Rice’s theorem. Most of these applications are based on an interpretation of the “unintelligibility ” condition in obfuscation as meaning that O(P) is a “virtual black box
A complex analogue of the Rolle theorem and polynomial envelopes of irreducible differential equations in the complex domain
 J. London Math. Soc
, 1997
"... We prove a complex analytic analogue of the classical Rolle theorem asserting that the number of zeros of a real smooth function can exceed that of its derivative by at most 1. This result is used then to obtain upper bounds for the number of complex isolated zeros of: (1) functions defined by linea ..."
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Cited by 1 (0 self)
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We prove a complex analytic analogue of the classical Rolle theorem asserting that the number of zeros of a real smooth function can exceed that of its derivative by at most 1. This result is used then to obtain upper bounds for the number of complex isolated zeros of: (1) functions defined
A discrete Morse theory for cell complexes
 in ‘‘Geometry, Topology 6 Physics for Raoul Bott
, 1995
"... In this paper we will present a very simple discrete Morse theory for CW complexes. In addition to proving analogues of the main theorems of Morse theory, we also present discrete analogues of such (seemingly) intrinsically smooth notions as the gradient vector field and the gradient ..."
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Cited by 233 (8 self)
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In this paper we will present a very simple discrete Morse theory for CW complexes. In addition to proving analogues of the main theorems of Morse theory, we also present discrete analogues of such (seemingly) intrinsically smooth notions as the gradient vector field and the gradient
Clonal Distribution and PhaseVariable Expression of a Major Histocompatibility Complex Analogue Protein in Staphylococcus aureus
, 2004
"... The mapW gene of Staphylococcus aureus strain N315 contains a poly(A) tract which truncates translation of the protein. This study demonstrates thatmapW is an allelic variant of themap/eap genes found in other strains and that the variation in the length of this poly(A) tract suggests that it is a c ..."
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The mapW gene of Staphylococcus aureus strain N315 contains a poly(A) tract which truncates translation of the protein. This study demonstrates thatmapW is an allelic variant of themap/eap genes found in other strains and that the variation in the length of this poly(A) tract suggests that it is a contingency locus. Phase variation is one of the many strategies employed by pathogenic bacteria to avoid detection by a host’s immune systems and involves the ability to switch on the expression of proteins when they are needed and to switch it off when the they are likely to trigger immune responses (5). Several mechanisms have evolved to accomplish this strategy, one of which is known as slipstrand mispairing, where the lengths of longrepeat tracts of nucleotides vary (11, 13). This mechanism can have the effect of either altering the binding efficiency of transcriptional machinery to promoter regions or shifting the triplet coding out of frame. Staphylococcus aureus is a major human pathogen causing
Results 1  10
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2,324