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1.
Bayer Arend Lahoz Martí Macrì Emanuele Nuer Howard Perry Alexander Stellari Paolo 《Publications Mathématiques de L'IHéS》2021,133(1):157-325
Publications mathématiques de l'IHÉS - We develop a theory of Bridgeland stability conditions and moduli spaces of semistable objects for a family of varieties. Our approach is based... 相似文献
2.
Tamar Lando 《Annals of Pure and Applied Logic》2018,169(4):277-311
Space, as we typically represent it in mathematics and physics, is composed of dimensionless, indivisible points. On an alternative, region-based approach to space, extended regions together with the relations of ‘parthood’ and ‘contact’ are taken as primitive; points are represented as mathematical abstractions from regions.Region-based theories of space have been traditionally modeled in regular closed (or regular open) algebras, in work that goes back to [5] and [21]. Recently, logics for region-based theories of space were developed in [3] and [19]. It was shown that these logics have both a nice topological and relational semantics, and that the minimal logic for contact algebras, (defined below), is complete for both.The present paper explores the question of completeness of and its extensions for individual topological spaces of interest: the real line, Cantor space, the rationals, and the infinite binary tree. A second aim is to study a different, algebraic model of logics for region-based theories of space, based on the Lebesgue measure algebra (or algebra of Borel subsets of the real line modulo sets of Lebesgue measure zero). As a model for point-free space, the algebra was first discussed in [2]. The main results of the paper are that is weakly complete for any zero-dimensional, dense-in-itself metric space (including, e.g., Cantor space and the rationals); the extension is weakly complete for the real line and the Lebesgue measure contact algebra. We also prove that the logic is weakly complete for the infinite binary tree. 相似文献
3.
4.
Huffman (2013) [12] studied -linear codes over and he proved the MacWilliams identity for these codes with respect to ordinary and Hermitian trace inner products. Let S be a finite commutative -algebra. An -linear code over S of length n is an -submodule of . In this paper, we study -linear codes over S. We obtain some bounds on minimum distance of these codes, and some large classes of MDR codes are introduced. We generalize the ordinary and Hermitian trace products over -algebras and we prove the MacWilliams identity with respect to the generalized form. In particular, we obtain Huffman's results on the MacWilliams identity. Among other results, we give a theory to construct a class of quantum codes and the structure of -linear codes over finite commutative graded -algebras. 相似文献
5.
In cancer genomics, gene expression levels provide important molecular signatures for all types of cancer, and this could be very useful for predicting the survival of cancer patients. However, the main challenge of gene expression data analysis is high dimensionality, and microarray is characterised by few number of samples with large number of genes. To overcome this problem, a variety of penalised Cox proportional hazard models have been proposed. We introduce a novel network regularised Cox proportional hazard model and a novel multiplex network model to measure the disease comorbidities and to predict survival of the cancer patient. Our methods are applied to analyse seven microarray cancer gene expression datasets: breast cancer, ovarian cancer, lung cancer, liver cancer, renal cancer and osteosarcoma. Firstly, we applied a principal component analysis to reduce the dimensionality of original gene expression data. Secondly, we applied a network regularised Cox regression model on the reduced gene expression datasets. By using normalised mutual information method and multiplex network model, we predict the comorbidities for the liver cancer based on the integration of diverse set of omics and clinical data, and we find the diseasome associations (disease–gene association) among different cancers based on the identified common significant genes. Finally, we evaluated the precision of the approach with respect to the accuracy of survival prediction using ROC curves. We report that colon cancer, liver cancer and renal cancer share the CXCL5 gene, and breast cancer, ovarian cancer and renal cancer share the CCND2 gene. Our methods are useful to predict survival of the patient and disease comorbidities more accurately and helpful for improvement of the care of patients with comorbidity. Software in Matlab and R is available on our GitHub page: https://github.com/ssnhcom/NetworkRegularisedCox.git. 相似文献
6.
Existing literature regarding the natural hedge potential that arises from combining different longevity-linked liabilities typically does not address the question how changes in the liability mix can be obtained. We consider firms who aim to exploit the benefits of natural hedge potential by redistributing their risks, and characterize the risk redistributions that will arise when the parties bargain for a redistribution of risk that weakly benefits them all. We analyze the effects of heterogeneity in the beliefs regarding the probability distribution of future mortality rates on the properties of these risk redistributions, and provide a numerical illustration for a case where an insurer with a portfolio of term assurance contracts and a pension fund with a portfolio of life annuities redistribute their risks. 相似文献
7.
Constitutive laws are presented for the inelastic analysis of laminated composite plates. The implications of using an elastoplastic theory, applied in a stress-resultant formulation, are discussed and investigated. Two different stress-resultant plasticity theories are proposed, both of which overlook the matrix and fiber inelastic behavior and describe the inelastic response of the laminate as a function of overall laminate properties. Results from numerical experiments with the proposed models are compared with results obtained using a micromechanical elastoplastic composite constitutive model. 相似文献
8.
The streaming motion past a spherical microcapsule is studied. The particle consists of a thin elastic membrane enclosing
an incompressible fluid. Since the problem is highly nonlinear, a perturbation solution is sought in the limiting case where
the deviation from sphericity is small. Obviously, the capsule remains nearly spherical when λ, the ratio of viscous forces
to elastic (shape-restoring) membrane forces is small. In this limit, the rheology of the inside fluid is immaterial and the
problem is essentially characterized by three parameters: λ, the Reynolds number Re (interia effect), and the Weissenberg
number We (non-newtonian effect). The deformation is obtained explicitly under the restriction We<1, Re<1. It is shown that
to leading order, the capsule deforms exactly into a spheroid which can be either oblate or prolate, depending mainly upon
the elasticity number We/Re: for We/Re<0.57 the spheroid is oblate, while for We/Re>0.81 a prolate spheroid results. For 0.57<We/Re<0.81
additional details of the rheology of the membrane and of the suspending fluid are needed. The degree of the deformation is
governed by the parameters λ Re. All parameters of the problem enter into the expression of the drag force. On a qualitative
basis, these results are similar to those for droplets although major differences exist quantitatively. 相似文献
9.
In four-point bending, the rollers that are used for load application impose additional constraints on the specimen that affect
the anticlastic specimen curvature and cause the specimen displacement and stress profiles to deviate from the pure beam bending
case. In this study, x-ray microdiffraction is used to map both the principal and anticlastic curvatures of elastically bent,
rectangular (100)-type Si strips possessing width:thickness ratios of 40:1. We quantify the amount of roller constraint and
show that the region over which the anticlastic specimen curvature is affected away from the roller is approximately five
times the roller diameter. Consequently, for bending tests used to determine Poisson's ratio, if a region on the sample that
is free from roller effects is not chosen, measurement errors as high as 46% can occur. Furthermore, we show that, due to
the anisotropy of single crystal Si, this roller-constraining effect depends on crystallographic orientation and is more pronounced
when the principal bending axis lies along the <100> direction as compared with the <100> direction. 相似文献
10.
Andrew W. Smyth Sami F. Masri Elias B. Kosmatopoulos Anastassios G. Chassiakos Thomas K. Caughey 《International Journal of Non》2002,37(8):378-1451
Adaptive estimation procedures have gained significant attention by the research community to perform real-time identification of non-linear hysteretic structural systems under arbitrary dynamic excitations. Such techniques promise to provide real-time, robust tracking of system response as well as the ability to track time variation within the system being modeled. An overview of some of the authors’ previous work in this area is presented, along with a discussion of some of the emerging issues being tackled with regard to this class of problems. The trade-offs between parametric-based modeling and non-parametric modeling of non-linear hysteretic dynamic system behavior are discussed. Particular attention is given to (1) the effects of over- and under-parameterization on parameter convergence and system output tracking performance, (2) identifiability in multi-degree-of-freedom structural systems, (3) trade-offs in setting user-defined parameters for adaptive laws, and (4) the effects of noise on measurement integration. Both simulation and experimental results indicating the performance of the parametric and non-parametric methods are presented and their implications are discussed in the context of adaptive structures and structural health monitoring. 相似文献