The prime number theorem tells us that π(x), the number of primes below x, is ∼ x/ logx. Equivalently, if pn denotes the n-th smallest prime number then pn ∼ n logn. What is the distribution of the gaps between consecutive primes, pn+1 − pn? We have just seen that pn+1 − pn is approximately logn “on average”. How often do we get a gap of size 2 logn, say; or of size 1 2 logn? One way to make th...

Decreased caloric and other nutrient intake can complicate the course of both mild and serious illness. With proper case selection, providing parenteral nutrition (PN) can improve clinical outcome, reduce hospitalization time, and reduce the cost of patient care. Many pharmacy facilities can compound PN formulations; with proper staff training and patient monitoring resources, PN can be adminis...

This article aims to analyze the frequency and clinical characteristics of peripheral neuropathy (PN) in patients with systemic lupus erythematosus (SLE).A total of 4924 SLE patients admitted to the Peking Union Medical College Hospital, Beijing, China, from January 1995 to September 2013 were included in this retrospective analysis. The individuals designated as control patients were selected ...

BACKGROUND Bone marrow transplantation involves the administration of toxic chemotherapy and infusion of marrow cells. After treatment, patients can develop a poor appetite, mucositis and gastrointestinal failure, leading to malnutrition. To prevent this, parenteral nutrition (PN) support is the first choice but is associated with an increased risk of infection. Enteral nutrition (EN) is an alt...

INTRODUCTION Current standard evaluation of Peripheral Neuropathy (PN) is based on an investigator-reported classification system that is commonly unable to correctly reflect the subjective symptoms for patients. Thus more reliable methods to assess PN are needed. This study assessed alternative methods of assessing patient-reported PN in 5 North Central Cancer Treatment Group (NCCTG) clinical ...

Artificial nutrition (AN) is necessary to meet the nutritional requirements of critically ill patients at nutrition risk because undernutrition determines a poorer prognosis in these patients. There is debate over which route of delivery of AN provides better outcomes and lesser complications. This review describes the management of parenteral nutrition (PN) in critically ill patients. The firs...

Let Z be a set of fat points in a multiprojective space Pn × · · · × Pn . We introduce definitions for the separator of a fat point and the degree of a fat point in this context, and we study some of their properties. Our definition has been picked so that when we specialize to the cases: (a) Z is a reduced set of points in Pn , (b) Z is a set of fat points in Pn, or (c) Z is a reduced set of p...

We measured pictogram naming (PN) and text reading in dyslexic and normally reading young teenagers. Eye movements were monitored by scanning laser ophthalmoscope, revealing positions of fovea, stimuli on the retina, and speech simultaneously. While text reading speed showed the expected difference between groups, PN speeds overlapped widely. PN was mainly controlled by retrieval time in both g...

BACKGROUND The multicentre randomised controlled PEPaNIC trial showed that withholding parenteral nutrition (PN) during the first week of critical illness in children was clinically superior to providing early PN. This study describes the cost-effectiveness of this new nutritional strategy. METHODS Direct medical costs were calculated with use of a micro-costing approach. We compared the cost...