Edwards curves are a particular form of elliptic curves that admit a fast, unified and complete addition law. Relations between Edwards curves and Montgomery curves have already been described. Our work takes the view of parameterizing elliptic curves given by their j-invariant, a problematic that arises from using curves with complex multiplication, for instance. We add to the catalogue the li...

We show that any effective Hodge structure of CMtype occurs (without having to take a Tate twist) in the cohomology of some CM abelian variety over C. As a consequence we get a simple proof of the theorem (due to Hazama) that the usual Hodge conjecture for the class of all CM abelian varieties implies the general Hodge conjecture for the same class.

In this article we generalize the CM method for elliptic and hyperelliptic curves to Picard curves. We describe the algorithm in detail and discuss the results of our implementation.

Competitiveness and survivability of many companies today does not only depend on their products and development processes. It also strongly depends on how effective the organizations are in managing emergency software problems. Despite this, there is only one process model dealing with software emergencies. It is CM 3 : Emergency Problem Management. In this paper, we evaluate CM 3 : Emergency ...

OBJECTIVE To compare incidence of hospital-onset Clostridium difficile infection (CDI) measured by the use of International Classification of Diseases, Ninth Revision, Clinical Modification (ICD-9-CM) discharge diagnosis codes with rates measured by the use of electronically available C. difficile toxin assay results. METHODS Cases of hospital-onset CDI were identified at 5 US hospitals durin...

International Classification of Diseases, Ninth Revision, Clinical Modification (ICD-9-CM) codes have been proposed as a method of public health surveillance and are widely used in public health and clinical research. However, ICD-9-CM codes have been found to have variable accuracy for both health-care billing and disease classification, and they have never been comprehensively validated for u...

BACKGROUND AND PURPOSE This study evaluated the effect of migraine on the subsequent development of epilepsy. METHODS A total of 10,016 patients diagnosed with migraine [ICD-9-CM (International Classification of Diseases, Ninth Revision, Clinical Modification) 346] during the period between 2000 and 2009 who were aged older than 20 years were identified as the migraine cohort. A comparison co...

There are substantial barriers to the introduction of hydrogen fuel cells for transportation, including the high cost of fuel-cell systems, the current lack of a hydrogen infrastructure, and the relatively low fuel efficiency when using hydrogen produced from hydrocarbons. Here, we describe a solid oxide fuel cell that combines a catalyst layer with a conventional anode, allowing internal refor...