More Nearly Certain

More-Than-Nearly-Perfect Packings and Partial Designs

Results of Frankl and RR odl and of Pippenger and Spencer show that uniform hypergraphs which are almost regular and have small maximal pair degrees (codegrees) contain collections of pairwise disjoint edges (packings) which cover all but o(n) of the n vertices. Here we show, in particular, that regular uniform hypergraphs for which the ratio of degree to maximum codegree is n " , for some " > ...

Nearly Rational Frobenius Groups

In this paper, we study the structure of nite Frobenius groups whose non-rational or non-real irreducible characters are linear.

Simple Construction of a Frame which is $epsilon$-nearly Parseval and $epsilon$-nearly Unit Norm

In this paper, we will provide a simple method for starting with a given finite frame for an $n$-dimensional Hilbert space $mathcal{H}_n$ with nonzero elements and producing a frame which is $epsilon$-nearly Parseval and $epsilon$-nearly unit norm. Also, the concept of the $epsilon$-nearly equal frame operators for two given frames is presented. Moreover, we characterize all bounded invertible ...

Darwinian grandparenting: preferential investment in more certain kin.

Studies on grandparental investment have revealed that mothers' fathers are emotionally closer to their grandchildren than are fathers' mothers. In the current study, it was hypothesized that this difference is caused by the fact that fathers' mothers often have the potential to invest in genetically more certain kin (children through their daughters). To test this hypothesis, 787 participants ...

Are Certain Schools More Prone to Suicide Ideation?