We develop a valuation theory for generalized polygons similar to the existing theory for dense near polygons. This valuation theory has applications for the study and classification of generalized polygons that have full subpolygons as subgeometries.

A generalized admissible triple is a triple T = (L, X,∆), where X is a set of size s + 1 ≥ 2, L is a Steiner system S(2, s + 1, st + 1), t ≥ 1, with point-set P and ∆ is a very nice map from P × P to the group Sym(X) of all permutations of the set X. Generalized admissible triples can be used to coordinatize generalized quadrangles with a regular spread and glued near hexagons. The idea of coor...

  Background Seizures may occur in as many as 1% of children. The most urgent type of seizures is generalized tonic-clonic seizures (GTCS). N-terminal prohormone of brain natriuretic peptide (NT‐proBNP) has been considered as a promising biomarker in numerous acute illnesses. We aimed to evaluate usefulness of NT‐proBNP for diagnosis of g...

The Lyapunov-Schmidt reduction is generalized to the case of imperfect singularities. The results presented neither need very precise information about the location of the (near) singularities nor a precise knowledge of (near) null spaces.

The most common technology for seizure detection is with electroencephalography (EEG), which has low spatial resolution and minimal depth discrimination. Optical techniques using near-infrared (NIR) light have been used to improve upon EEG technology and previous research has suggested that optical changes, specifically changes in near-infrared optical scattering, may precede EEG seizure onset ...

There is a convolution product on 3-variable partial flag functions of locally finite poset that produces generalized Möbius function. Under the this function one sided inverse zeta and satisfies many generalizations classical results. In particular we prove analogues Phillip Hall’s Theorem as an alternating sum chain counts, Weisner’s Theorem, Rota’s Crosscut Theorem. A key ingredient to these...