In this paper we present several proofs on the extension of M. Riesz fractional integration and di¤erentiation to the contexts of spaces of homogeneous type and measure metric spaces with non-doubling measures. 1. Introduction, some de…nitions, and a basic lemma Professor M. Ash asked me to write a survey article on some of the results that Stephen Vági and I obtained in the nineties on fractio...

Accepted 20 August 1997 A 75-year-old widow who lived alone with little social support was admitted to hospital after she was found by neighbours collapsed. She denied any medical history of note. There was no history of alcohol abuse and she was a lifetime non-smoker. Temperature on admission was 34.9°C rectal. She was noted to have extensive bruising over her legs and had spontaneous bleeding...

Increasing the consumption of fruit and vegetables is a central component of improving population health. Reasons people give for choosing one food over another suggest health is of lower importance than taste. This study assesses the impact of using a simple descriptive label to highlight the taste as opposed to the health value of fruit on the likelihood of its selection. Participants (N=439)...

Autoerythrocyte sensitization syndrome (AES) was first described by Gardner and Diamond in 1955, when four women with painful bruising were depicted. Patients with AES typically present with the development of recurrent, spontaneous, painful ecchymosis, frequently preceded by a prodrome of pain or itching of the skin. The patients are sensitive to their own red blood cells injected intradermall...

background: the correct usage of  wastes in animal nutrition causes  decrease in environmental pollution. apple pomace as an energetic matter and source of digestible fibers for ruminants is a proper alternative for forage. objectives: the aim of this experiment was to investigate the effect of diets containing dried apple pomace on digestibility, rumination, microbial fermentation and blood gl...

In New York State, a large number of both native and introduced insect and mite species attack apples grown in commercial apple orchards. Control of this pest complex is particularly challenging, because unlike the more arid apple production regions on the West Coast, apple orchards in N.Y. are commonly in close proximity to semi-wooded areas having an abundance of wild apple and hawthorn speci...

BACKGROUND Most children do not meet the recommendation for fruit consumption. Apples are the second most commonly consumed fruit in the US; however, no studies have examined the association of total apple products, apples, apple sauce, and 100 % apple juice consumption on diet quality and weight/adiposity in children. METHODS The purpose of this study was to examine the association between v...