Costello syndrome is an extremely rare genetic disorder with growth delay after birth and typically results in short stature during childhood. It is one of the RASopathy of Ras/MAPK pathway syndromes. It affects the transforming protein p21, an enzyme that in humans is encoded by the HRAS gene. H-Ras is a small G protein and once bound to Guanosine triphosphate, it will activate a Raf kinase li...

Recent research has identified three invariants or identities that appear to hold in people’s probabilistic decision making: the addition law identity, the Bayes rule identity, and the QQ identity (Costello and Watts, 2014, Fisher and Wolfe, 2014, Costello and Watts, 2016b, Wang and Busemeyer, 2013, Wang et al., 2014). Each of these identities represent specific agreement with the requirements ...

Definition 1.1. Given a ring R, a genus with values in R is a ring homomorphism, Ω ⊗Q→ R, where Ω is the G-bordism ring. For example, the Â-genus and L-genus are ring maps from Ω⊗Q→ Q. The Atiyah-Singer theorem shows that  can be refined to a genus Ω⊗Q→ Z. The L-genus (or signature) is defined on Ω⊗Q, and the Todd genus is defined on the complex cobordism category. We can define genera via mul...

Costello syndrome is a rare genetic disorder with an estimated 300 medical cases worldwide. Typical features that characterize this syndrome include short stature, macrocephaly, developmental delay, loose skin folds, distinctive coarse facial features, and multiorgan system anomalies. The following case report discusses the anesthetic management for a 3-year-old boy undergoing general anesthesi...

A bstract We show that the approaches to integrable systems via 4d Chern-Simons theory and symmetry reductions of anti-self-dual Yang-Mills equations are closely related, at least classically. Following a suggestion Kevin Costello, we start from holomorphic on twistor space, defined with help meromorphic (3,0)-form ?. If ? is nowhere vanishing, it descends space-time classical motion equivalent...