We prove a double-exponential upper bound on the degree and on the complexity of constructing a Janet basis of a D-module. This generalizes a well known bound on the complexity of a Gröbner basis of a module over the algebra of polynomials. We would like to emphasize that the obtained bound can not be immediately deduced from the commutative case. Introduction Let A be the Weyl algebra F [X1, ....

26 Janet Creaser, Department of Mechanical Engineering Evaluation of Minnesota’s

CORREsPOnDEnCE TO: Janet Copeland Research and Professional development, new Zealand society of Physiotherapists, PO Box 27386, Wellington, new Zealand janet@physiotherapy. org.nz Although Primary Health Organisations (PHOs) were established to provide coordinated primary health care involving a range of providers, physiotherapy involvement in PHOs is limited. This means that access to physioth...

This paper develops a depth-gated recurrent neural network (DGRNN) with self-attention mechanism (SAM) based on long-short-term memory (LSTM)\gated unit (GRU) \Just Another NETwork (JANET) to improve the accuracy of credit spread prediction. The empirical results U.S. bond market indicate that DGRNN model is more effective than traditional machine learning methods. Besides, we discovered Depth-...

In this reappraisal of the work of Pierre Janet at the centenary of the publication of L'automatisme psychologique, the authors review his investigations into the mental processes that transform traumatic experiences into psychopathology. Janet was the first to systematically study dissociation as the crucial psychological process with which the organism reacts to overwhelming experiences and s...

A Maple package for computing Gröbner bases of linear difference ideals is described. The underlying algorithm is based on Janet and Janet-like monomial divisions associated with finite difference operators. The package can be used, for example, for automatic generation of difference schemes for linear partial differential equations and for reduction of multiloop Feynman integrals. These two po...

Janet Jansson is Chief Scientist for Biology in the Earth and Biological Sciences Directorate at the Pacific Northwest National Laboratory (PNNL) and President of the International Society for Microbiology (ISME). She obtained her Ph.D. in 1988 at Michigan State University and then established a successful research career in Sweden. From 2000-2006, she was Professor of Environmental Microbiolog...

Charles Janet (1849-1932) was the leading pioneer in the histological description of the internal anatomy of social insects, in particular of ants and wasps. Because many of the original Janet sections still exist, this article is able to illustrate the amazing skills through some selected pictures taken from this more than a century old material, and thus to pay tribute to this French founder ...