Order of the Golden Chain in New Jersey. Constituent Links began to form up and down the eastern coastline and continue to function in New Jersey, Pennsylvania and Rhode Island. It wasn't long after the Order of the Golden Chain was created that the country was in the thrust of the Great Depression. There was a strong need to belong to a fraternal organization such as the Golden Chain with members dedicated to helping others less fortunate than themselves. During that period, hundreds of thousands of dollars were spent by Constituent Links, from supplying food, coal and medical supplies to endowing much needed equipment for
Genus (mathematics) manifold of complex points). For example, the definition of elliptic curve from algebraic geometry is "connected non-singular projective curve of genus 1 with a given rational point on it". By the Riemann-Roch theorem, an irreducible plane curve of degree "d" has geometric genus where "s" is the number of singularities when properly counted. Genus can be also calculated for the graph spanned by the net of chemical interactions in nucleic acids or proteins. In particular, one may study the growth of the genus along the chain. Such a function (called the genus trace) shows the topological complexity and domain structure