Search results for "2A"

showing 2 items of 282 documents

Envelopes for sets and functions II: generalized polarity and conjugacy

2018

International audience; Let X,Y be two nonempty sets, Φ an extended real-valued bivariate coupling function on X × Y and Γ a subset of X × Y. The present paper provides extensions to the well-known generalized Φ-conjugacy and Γ-polarity of diverse results of our previous work [2] related to φ-conjucacy and Λ-polarity, where Λ is a subset of a vector space E and φ is a function on E defining the particular coupling function (x,y)→φ(x−y) on E × E. A particular attention is devoted to the conjugacy functions (resp. polarity sets) which are mutually generating. Finally, for a superadditive conjugacy function Φ, we obtain a full description of the class of Φ-envelopes.

regularizationconvexityLegendre-Fenchel conjugateMutually generating conjugacy functionsΦ-envelopeΓ- polarMutually generating polarity sets.MSC: 52A41 49J53 41A65[MATH] Mathematics [math][MATH]Mathematics [math]Generalized conjugacy
researchProduct

Gitelman syndrome DD thiazide diuretics abuse

2014

Abstract Introduction. Gitelman syndrome (GS) is a rare inherited disorder. Mutations in SLC12A3 gene that encode tubular Na+Cl-cotransporter (NCCT) cause hypokalemic metabolic alkalosis, salt loss, hypomagnesaemia and hypocalciuria. The symptoms include weakness, vertigo, hypotension, tetany, paresthesia and nausea. Diagnostic criteria are a normal urine concentrating ability, normal glomerular filtration rate (GFR), hypomagnesaemia (<0,65mmol/l), hypokalemia (<3,6mmol/l) and hypocalciuria (<0,1mmol/mmol creatinine). Previously, the diagnosis was made by exclusion. Today, genetic analysis can ensure diagnosis. Thiazide diuretics (TD) abuse with similar abnormalities can make the d…

slc12a3medicine.medical_specialtyTetanyhypomagnesaemiaRenal functionGastroenterologyHypocalciuriaPolyuriaInternal medicinehypokalemiamedicinehypocalciuriaThiazidenacl cotransporterbusiness.industrygitelmanRGeneral MedicineGitelman syndromemedicine.diseaseHypokalemiaEndocrinologyMedicinemedicine.symptombusinessMuscle crampmedicine.drugOpen Medicine
researchProduct