INLETS/ESTUARIES DISCHARGING INTO SHELTERED WATERS

Discharging cartwheels

In [J. Combin. Theory Ser. B 70 (1997), 2-44] we gave a simplified proof of the Four Color Theorem. The proof is computer-assisted in the sense that for two lemmas in the article we did not give proofs, and instead asserted that we have verified those statements using a computer. Here we give additional details for one of those lemmas, and we include the original computer programs and data as “...

Leaving the sheltered workshop

Choosing a Sheltered Middle Path

We say that point x ∈ R2 is sheltered by a continuum S ⊂ R2 if x does not belong to the unbounded component of R2 \ S. Suppose that points a and b are the endpoints of each of three arcs A0, A1 and A2 contained in R2. We prove that there is an arc B ⊂ A0 ∪A1 ∪A2 with its endpoints a and b such that each point of B is sheltered by the union of each two of the arcs

The determinants of transitions into sheltered accommodation in later life in England and Wales

BACKGROUND Population ageing is a global challenge and understanding the dynamics of living arrangements in later life and their implications for the design of appropriate housing and long-term care is a critical policy issue. Existing research has focused on the study of transitions into residential care in the UK. This paper investigates transitions into sheltered accommodation among older pe...

Redefining The Purpose of Sheltered Workshops