We derive generalized estimators for a number of spatial statistics that have been used in the analysis of spatially resolved omics data, such as Ripleys K, H and L functions, clustering index, and degree of clustering, which allow these statistics to be calculated on data modelled by arbitrary random measures. Our estimators generalize those typically used to calculate these statistics on poin...

Surgical operations performed for the relief of achalasia of the cardia are liable to be followed by gastro-oesophageal reflux. Although this complication occurred much more frequently after earlier procedures such as cardioplasty or oesophago-gastric anastomosis than after Heller's cardiomyotomy (Barrett and Franklin, 1949; Ripley, Olsen, and Kirklin, 1952; Brewer, Barnes, and Redo, 1956), it ...

The soybean aphid, Aphis glycines, is a pest of soybean in Asia, and it has become a major pest of this crop in North America with large outbreaks that cause significant yield loss. Host-plant resistance is one management tactic being developed against soybean aphid in North America, and resistance may be manifested as antixenosis, antibiosis, or tolerance. In this study, choice tests were cond...

Previous investigations involving mononuclear cell antibody-dependent cellmediated cytotoxicity (ADCC) toward human red cell (RBC) targets indicated that monocytes but not lymphocytes are able to produce erythrocyte lysis. We reexamined this reported insensitivity of human RBC to lymphocyte cytotoxicity using a variety of human RBC targets and a wide range of antisera to various erythrocyte ant...

A complete description of the sequence of spikes in a neuron discharge consists of an ordered series of intervals tlt t2, ..., tn, extending over the entire observation time. Neurophysiologists commonly discuss ongoing activity in terms of mean frequency of spikes thus ignoring variability and sequence of intervals. Histograms of intervals between two consecutive spikes or histograms of time be...

Preliminary statement. When I first wrote my lecture notes for the Part II course, Sarah Shea– Simonds very kindly typed the core notes in TeX, and I added to them bit by bit, again in TeX. However, my style was still rather like a telegram, partly as I was trying to save on paper. Now that I am retired, I have time to retype the notes in LaTeX. I have tried to make the style rather more ‘flowi...

A unified answer is offered to two distinct fundamental questions: whether a nonclassical solution to the semantic paradoxes should be extended to other apparently similar paradoxes (in particular, to the paradoxes of logical properties) and whether a non-classical logic should be expressed in a non-classical metalanguage. The ∗Earlier versions of the material in this paper have been presented ...