Max Born

Random Max 2-sat and Max Cut

Given a 2-SAT formula F consisting of n variables and b n random clauses, what is the largest number of clauses maxF satisfiable by a single assignment of the variables? We bound the answer away from the trivial bounds of 34 n and n. We prove that for < 1, the expected number of clauses satisfiable is b n o(1); for large , it is ( 34 + (p ))n; for = 1 + ", it is at least (1 + " O("3))n and at m...

First born and last born: a critique.

In a recent article Cushna et ale (I) reported that when a sample of 327 first and 32.5 last born children brought to a child development clinic were examined, it was found that "among functional behavior disorders there were twice as many first borns as last borns," 64 versus 32. The authors argue that the data support the Adlerian hypothesis that birth rank influences the life style. Although...

Modelling Max-CSP as Partial Max-SAT

We define a number of original encodings that map MaxCSP instances into partial Max-SAT instances. Our encodings rely on the well-known direct and support encodings from CSP into SAT. Then, we report on an experimental investigation that was conducted to compare the performance profile of our encodings on random binary Max-CSP instances. Moreover, we define a new variant of the support encoding...

The neonate was born with holoprosencephaly

holoprosencephaly is a rare congenital brain malformation resulting from failure of diverticulation and cleavage of primitive prosencephalon which occurs at 4 - 8th week of gestation and is usually associated with multiple midline facial anomalies. it is the most common forebrain developmental anomaly in humans with prevalence of 1/16,000 in live borns, an incidence as high as 1:250 in conceptu...

Max Wellington