scholarly journals Principles of rational analysis - derivatives and integrals

2020 ◽  
pp. 5-25
Author(s):  
Дмитрий Анатольевич Молодцов
Keyword(s):  
Existence Theorems ◽  
Rational Analysis ◽  
Upper Limit ◽  
Differentiability Properties

Продолжается построение основ рационального анализа. Предлагаются два понятия мягкой производной. Доказан аналог теоремы Ферма. Для обоих вариантов мягкой производной построены обратные операции мягкого интегрирования. Доказаны теоремы существования и аналоги свойств дифференцируемости классического интеграла по верхнему пределу. Building on the basics of rational analysis is ongoing. Two concepts of a soft derivative are proposed. An analogue of Fermat's theorem is proved. For both variants of the soft derivative, the inverse operations of soft integration are constructed. Existence theorems and analogues of the differentiability properties of the classical upper limit integral are proved.

A Rational Analysis of Constructed Preference

2014 ◽  
Author(s):  
Shlomi Sher ◽  
Johannes Muller-Trede ◽  
Craig R. M. McKenzie
Keyword(s):  
Rational Analysis

Graves'-Basedow disease in pregnancy

2015 ◽  
Vol 54 (03) ◽  
pp. 106-111 ◽  
Author(s):  
S. L. Andersen ◽  
P. Laurberg
Keyword(s):  
Side Effects ◽  
Birth Defects ◽  
Thyroid Dysfunction ◽  
National Study ◽  
Antithyroid Drugs ◽  
Upper Limit ◽  
Special Concern ◽  
Maternal Thyroid ◽  
Toxic Reactions ◽  
Serum Tsh

SummaryThyroid hormones are essential development factors and maternal thyroid dysfunction may cause pregnancy complications and diseases in the fetus/child. In the present review we discuss new data on the incidence of Graves'-Basedow disease (GBD) in and around pregnancy, and how hyperthyroidism may affect the risk of spontaneous abortion and stillbirth.A special concern in pregnant women is the potential side effects from the use of antithyroid drugs (ATDs). One type of side effects is the allergic/toxic reactions to the drugs, which seem to be similar in and outside pregnancy, and another is that ATDs tend to over treat the fetus when the mother with GBD is made euthyroid. To avoid fetal hypothyroidism, the lowest possible ATD dose should be used to keep maternal thyroid function at the upper limit of normality with low serum TSH. Birth defects after the use of methimazole (MMI) (or its prodrug carbimazole) have been considered to be very rare, and no risk has previously been associated with the use of propylthiouracil (PTU). However, a recent Danish national study found that 1/30 of children exposed to MMI in early pregnancy had birth defects associated with this, and many defects were severe. PTU exposure was associated with defects in 1/40, and these defects were less severe. Proposals are given on how to reduce the risk of ATD associated birth defects.

Quantitative Radioisotope Measurement of Duodenogastric Reflux in Patients with Ulcer or Gastrectomized for Ulcer

1985 ◽  
Vol 24 (03) ◽  
pp. 107-110
Author(s):  
M. Pääkkönen ◽  
S. Aukee ◽  
K. Korhonen ◽  
A. Pääkkönen ◽  
E. Länsimies ◽  
...  
Keyword(s):  
Gamma Camera ◽  
Background Activity ◽  
Bile Reflux ◽  
Duodenogastric Reflux ◽  
Upper Limit ◽  
Visual Evidence ◽  
Biochemical Measurement

SummaryIn this work the duodenogastric reflux was quantified as the amount of radioactivity entering the stomach after an i.v. administration of 99mmTc-HIDA in ulcer patients and in patients who had undergone BI gastrectomy. The results were compared with visual evidence of gastric activity in the gamma camera images and biochemical determination of gastric bile reflux. The method is useful in quantifying the reflux if the activity is above the background activity. It allows the determination of an upper limit for the reflux when the reflux is evident visually. Only two or three images are needed for the quantitation. No correlation was found between biochemical measurement of fasting bile reflux in the stomach and radioisotopic quantification.

Vitamin-A-Exzess durch Pferdefleischprodukte mit hohen Leberanteilen

2013 ◽  
Vol 41 (01) ◽  
pp. 31-36
Author(s):  
E. Kienzle ◽  
N. Becker
Keyword(s):  
Vitamin A ◽  
Eine Analyse ◽  
Upper Limit ◽  
Upper Limits

ZusammenfassungIm Rahmen einer Eliminationsdiät wird regelmäßig Pferdefleisch eingesetzt. Aus Gründen der Praktikabilität verwenden Tierbesitzer häufig kommerziell erhältliches Pferdefleisch aus der Dose. Aufgrund eines Berichts von Zervikalspondylosen bei einer auf Futtermittel allergischen Katze erfolgte eine Analyse verschiedener auf Pferdefleisch basierender Produkte hinsichtlich des Vitamin-AGehalts.In 14 Pferdefleischerzeugnissen wurde der Vitamin-A-Gehalt (Retinol) analysiert. Der Gehalt an umsetzbarer Energie wurde mithilfe von Schätzformeln auf Basis der Deklaration berechnet.In Produkten mit deklarierten Anteilen von Leber, Innereien oder tierischen Nebenprodukten konnten zum Teil erhebliche Vitamin-A-Gehalte festgestellt werden. Bei alleiniger Verfütterung eines dieser Produkte (Deckung des durchschnittlichen Energiebedarfs) würde die Vitamin-A-Versorgung nur knapp unter dem Safe Upper Limit der Katze sowie oberhalb des Safe Upper Limits beim Hund liegen.Bei All-Meat-Produkten sollte nicht nur die Deklaration, sondern auch der Inhalt näher betrachtet werden, um einen Hinweis auf eventuell hohe Leberanteile zu erhalten.Aufgrund der Ergebnisse ist eine exzessive Vitamin-A-Aufnahme bei langfristiger Verfütterung von Pferdefleischprodukten mit hohen Leberanteilen nicht auszuschließen.

An International Collaborative Study to Investigate Standardisation of Hirudin Potency

1993 ◽  
Vol 69 (05) ◽  
pp. 430-435 ◽  
Author(s):  
Colin Longstaff ◽  
Man-Yu Wong ◽  
Patrick J Gaffney
Keyword(s):  
Specific Activity ◽  
Collaborative Study ◽  
Residual Activity ◽  
Quality Standard ◽  
Upper Limit ◽  
Assay Procedure ◽  
Specific Activities ◽  
International Collaborative ◽  
Range Of Values ◽  
International Collaborative Study

SummaryAn international collaborative study has been carried out to investigate the reproducibility of hirudin assays in 13 laboratories using four recombinant hirudins and one natural, sulphated product. A simple assay procedure was proposed involving the titration of α-thrombin with inhibitor and measurement of residual activity using a chromogenic substrate. A standard α-thrombin preparation was supplied to ensure that this reagent was of uniform quality throughout the study. The method appeared to present no difficulties and laboratories reported similar potencies for the 5 hirudin samples, in line with expected values. This gave 200–222 Thrombin Inhibitory Units/ampoule (TIU/ampoule) of lyophilised hirudin, with geometric coefficient of variation (gcv) values ranging from 10.15–15.97%. This corresponds to specific activities of approximately 14,300–15,900 TIU/mg protein. This is close to the upper limit of previously reported values of specific activity. We conclude that the precision of this determination compared with the wider range of values in the literature (8,000–16,000 thrombin inhibitory units [TIU]/mg) results from the use of good quality standard α-thrombin by all laboratories. This study has important implications for hirudin standardisation.

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