Just one research council?

Medical Research Council

What is it famous for? While being the main UK government's agency for funding biomedical research, it is probably best known for having nurtured British molecular biology in Cambridge in the golden decade of the 1950s — whence came the double helix model of DNA (James Watson and Francis Crick), the first amino-acid sequence of a protein (insulin, Fred Sanger), and the first three-dimensional p...

Medical Research Council

' Modern diagnosis and treatment make an increasing demand for methods by which the functional efficiency of organs or systems of the body may be objectively and quantitatively determined. It is important alike for the physician and for the surgeon to be able to assess the degree of impairment with which he has to deal. It may also be necessary to have means of measuring a disability for such p...

Council on Undergraduate Research

Forbidding Just One Intersection

Following a conjecture of P. Erdos, we show that if 9 is a family of k-subsets of an n-set no two of which intersect in exactly I elements then for k 2 21+ 2 and n sufficiently large IF:/ < (;:‘,I:) with equality holding if and only if 9 consists of all the k-sets containing a fixed (I+ I)-set. In general we show 19) <dknmax(‘.k-‘-l), where dk is a constant depending only on k. These results ar...

Just One Brain Activity

The term brain activity refers to a wide range of mental faculties that can be assessed either on anatomical/functional micro-, mesoand macrospatiotemporal scales of observation, or on intertwined levels with mutual interactions. Here we show, based on novel topological findings, how every brain activity encompassed in a given anatomical or functional level necessarily displays a counterpart in...