Note on an extreme form

A Note on the Jordan Canonical Form

A proof of the Jordan canonical form, suitable for a first course in linear algebra, is given. The proof includes the uniqueness of the number and sizes of the Jordan blocks. The value of the customary procedure for finding the block generators is also questioned. 2000 MSC: 15A21. The Jordan form of linear transformations is an exceeding useful result in all theoretical considerations regarding...

Is autism an extreme form of the "male brain"?

Prepenile Scrotum- An Extreme Form of Penoscrotal Transposition

A full-term newborn male baby was brought with abnormal genitalia. The baby was a product of non-consanguinous marriage and the antenatal checkups and sonography were unremarkable. The boy had passed urine and meconium before arrival. Baby was warm, pink and active. There was no abnormal facies. Limbs and spine were normal. Local examination (Fig. 1) revealed a normal phallus with meatus at the...

Note on the Distribution of Extreme Wave Crests

The sea elevation at a fixed point is modeled by means of a second order model, which is a smooth algebraic function of a vector valued Gaussian process. Asymptotic methods, presented first in [1], are used to estimate the mean upcrossing intensity μ(h). The intensity is then used to determine the density of crest height in a second order sea. Numerical examples illustrate the method. The propo...

A Note on Extreme Sets for Quasi-Continuous Functions

It is known that for Ω a connected separable metric space, a function Ω → R which at every point attains a weak local extremummust have countable image. Let Ω ⊂ R be a bounded domain and f : Ω → C a measurable, bounded, quasi-continuous function. For n ∈ Z+, we show that if |f | has countable image then f attains weak local extremum at each point of a dense open subset. We show by examples the ...