Wu-Ritt characteristic sets and their complexity

1991 ◽  
pp. 111-136 ◽  
Author(s):  
G. Gallo ◽  
B. Mishra
Keyword(s):  
Characteristic Sets

scholarly journals On the existence of linear Pfaff systems with lower characteristic sets of positive Lebesgue m-measure

2009 ◽  
Vol 45 (5) ◽  
pp. 650-661
Author(s):  
N. A. Izobov ◽  
S. G. Krasovskii ◽  
A. S. Platonov
Keyword(s):  
Characteristic Sets

Approach to the Patient with Endocrine Disorders

2016 ◽  
Author(s):  
Graham T McMahon ◽  
Robert G. Dluhy
Keyword(s):  
Chronic Care ◽  
Adrenal Incidentaloma ◽  
Hormone Deficiency ◽  
Patient Specific ◽  
Endocrine Disorders ◽  
Endocrine Disease ◽  
Endocrine Diseases ◽  
Characteristic Sets ◽  
Patients Experience

The distribution of hormones throughout the human body results in presentations of endocrine disease that are diffuse and variable. Although some endocrine syndromes result in characteristic sets of symptoms and features, most patients experience a limited number of components of the syndrome and may note symptoms that are not typically syndromic. This review discusses presentations of endocrine diseases and the endocrine patient. Specific attention is given to endocrine testing, which can be achieved by measuring the hormone itself, stimulating or suppressing a hormone feedback loop, or measuring peripheral hormone receptor function. The chronic care relationship is explored as many patients with endocrine diseases require extended chronic care to achieve control of abnormal hormonal systems. The dependency on chronic care necessitates that endocrinologists develop particular expertise in managing illnesses over the long term. Tables list hormones and their associated syndromes, clusters of contrasting symptoms and signs of over- and underactivity of the thyroid and adrenal glands, approaches to endocrine testing and treatment, and variability in selected hormone concentrations over time. Figures show diagnostic criteria related to hypercalcemia, growth hormone deficiency, acromegaly, and adrenal incidentaloma. The chronic care model is also represented. This review contains 4 highly rendered figures, 4 tables, and 12 references.

Characteristic Sets and Generalized Maximal Consistent Blocks in Mining Incomplete Data

2017 ◽  
pp. 477-486 ◽  
Author(s):  
Patrick G. Clark ◽  
Cheng Gao ◽  
Jerzy W. Grzymala-Busse ◽  
Teresa Mroczek
Keyword(s):  
Incomplete Data ◽  
Characteristic Sets

scholarly journals Multivariable dimension polynomials and new invariants of differential field extensions

2001 ◽  
Vol 27 (4) ◽  
pp. 201-214 ◽  
Author(s):  
Alexander B. Levin
Keyword(s):  
Field Extension ◽  
Differential Polynomials ◽  
Finitely Generated ◽  
Field Extensions ◽  
Differential Field ◽  
Differential Dimension ◽  
Characteristic Sets ◽  
Differential Dimension Polynomial ◽  
Dimension Polynomial

We introduce a special type of reduction in the ring of differential polynomials and develop the appropriate technique of characteristic sets that allows to generalize the classical Kolchin's theorem on differential dimension polynomial and find new differential birational invariants of a finitely generated differential field extension.

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