“…Thus, it is close in spirit to the discrete classical formulation of Dirichlet space theory by Beurling and Deny (1958). The discrete infinitesimal setup makes it possible to study the diffusion and the jump part using essentially the same methods. …”
Enlace del recurso
Enlace del recurso

“…The authors determine the number of level 1, polarized, algebraic regular, cuspidal automorphic representations of \mathrm{GL}_n over \mathbb Q of any given infinitesimal character, for essentially all n \leq 8. …”
Enlace del recurso

“…A "3-Hamiltonian form" of infinitesimal conformal automorphisms of quaternionic contact structures is presented.…”
Enlace del recurso

“…This introduces discontinuities in the prediction: an infinitesimal perturbation of the correction factor can result in an event migrating across a bin boundary. …”
Enlace del recurso

“…We present explicit expressions for their infinitesimal transformations and show that they are local in this case. …”
Enlace del recurso
Enlace del recurso

“…The flow equation approach consists of a sequence of infinitesimal unitary transformations and is conceptually similar to renormalization and scaling methods. …”
Enlace del recurso
Enlace del recurso

“…The Bayes B and gBLUP methods had similar accuracies under the infinitesimal model. CONCLUSIONS: Our results suggest that Bayes B is superior to gBLUP to estimate breeding values from genomic data. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The t test was performed for infinitesimal shear modules. RESULTS: The curves of stress-versus-stretch ratio were convex in shape, and inflection points were found in all the test groups at the strain of about 2.5%. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The first two Chapters are an introduction to the mathematics, and the experimental results, for the instability of laminar (or inviscid) flows to infinitesimal (in practice "small") disturbances. The third Chapter develops this linear theory in more detail and describes its application to particular problems. …”
Enlace del recurso
Enlace del recurso

“…This book seeks to bring this information to students and researchers in geometry and analysis on causal symmetric spaces.Includes the newest results in harmonic analysis including Spherical functions on ordered symmetric space and the holmorphic discrete series and Hardy spaces on compactly casual symmetric spacesDeals with the infinitesimal situation, coverings of symmetric spaces, classification of causal symmetric pairs and invariant cone fieldsPresents basic geometric properties of semi-simple symmetric spacesIncludes appendices on Lie algebras and Lie groups, Bounded symmetric domains (Cayley transforms), Antiholomorphic Involutions on Bounded Domains and Para-Hermitian Symmetric Spaces…”
Enlace del recurso

“…It is shown that quantum theory based on finite mathematics is more general than standard quantum theory, whilst finite mathematics is itself more general than standard mathematics.As a consequence, the mathematics describing nature at the most fundamental level involves only a finite number of numbers while the notions of limit, infinite/infinitesimal and continuity are needed only in calculations that describe nature approximately. …”
Enlace del recurso
Enlace del recurso

“…Furthermore, the regularity of infinitesimal CR automorphisms on ultradifferentiable abstract CR manifolds is investigated.…”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The scheme is completed proposing a new group of variations regarding the evolution parameter which is time; and with the demonstration of a theorem concerning the invariance of the action integral under continuous and infinitesimal temporary transformations. A general methodology for the mathematical treatment of fluid flows characteristic of Fluid Dynamics, Magnetohydrodynamics, and also fluids at rest proper of Classical Thermodynamics is presented. …”
Enlace del recurso
Enlace del recurso

“…The theory of differentiable spaces is developed to the point of providing a handy tool including arbitrary base changes (hence fibred products, intersections and fibres of morphisms), infinitesimal neighbourhoods, sheaves of relative differentials, quotients by actions of compact Lie groups and a theory of sheaves of Fréchet modules paralleling the useful theory of quasi-coherent sheaves on schemes. …”
Enlace del recurso
Enlace del recurso

“…The book faces the interplay among dynamical properties of semigroups, analytical properties of infinitesimal generators and geometrical properties of Koenigs functions. …”
Enlace del recurso
Enlace del recurso

“…Prostaglandins are ephemeral, infinitesimal signallers self-regulating every cell in the body, including those sub-serving mood and immunity. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…We also see how the infinitesimal approach, using Lie algebroids rather than Lie groupoids, and in particular using Lie algebroids of vector fields along the projection of the fibre bundle, may be of benefit. …”
Enlace del recurso
Enlace del recurso

“…To that end, it introduces the notion of inf-scheme, which is an infinitesimal deformation of a scheme and studies ind-coherent sheaves on such. …”
Enlace del recurso

“…Besides assessment by visual inspection, the irradiated specimens have been subjected to the impact hardness test, the infinitesimal hardness behaviour tests, the grid scarification test and to swelling tests in methanol and acetone. …”
Enlace del recurso

“…Variance components were estimated in an infinitesimal model involving genes controlling the mean level as well as its environmental variability. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso