We describe examples motivated by the work of Serre and Abhyankar. Subject Class: Primary 11F22, 11F03. Secondary 30F35, 20C34.

In this paper, a classifier based on the positive Boolean function(PBF) is proposed for the supervised pattern classification. A PBF is exactly represented as one sum-of-product form without any negative components. The PBF possesses the well-known threshold decomposition and stacking properties. The classification errors can be calculated from the summation of the absolute errors incurred at e...

Necessary and sufficient conditions for strict positive realness and positive realness of general transfer function matrices are derived. The conditions are expressed in terms of eigenvalues of matrix functions of the state matrices representation of the LTI system. Illustrative numerical examples are provided.

background: knowledge is limited concerning the role of temperament and character factors on schizophrenia. recent studies suggest that dimensions of temperament and character influence symptoms and functions in schizophrenia.  the purpose of this study was to determine the relationship between temperament and character with positive and negative symptoms in patients with schizophrenia. methods...

A hypothesis for coding different combinations of mRNA segments by a novel postulated function of microRNAs (miRNA) is presented. In this hypothesis, miRNA act as both coding adaptors and ligating enzymes. This hypothesis postulates an enzyme-substrate intermediate comprising a RNA triplex structure consisting of a miRNA adaptor and two mRNA configured as two turns of an A-form RNA helix. Postu...

Lung inflation with positive airway pressure may have rapid and dynamic effects on myocardial contractile function. We designed this study to assess the magnitude and time to onset of myocardial function changes during the initiation of single positive pressure lung inflation at clinically relevant inflation pressures. In 8 anesthetized 40-kg pigs, left ventricular pressures and volumes were me...

In the present investigation, the authors define a new class of meromorphic functions defined in the punctured unit disk Δ∗ := {z ∈ C : 0 < ∣z∣ < 1}. Coefficient inequalities, growth and distortion inequalities, as well as closure results are obtained. We also prove a Property using an integral operator and its inverse defined on the new class.

An extremal point of a positive threshold Boolean function f is either a maximal zero or a minimal one. It is known that if f depends on all its variables, then the set of its extremal points completely specifies f within the universe of threshold functions. However, in some cases, f can be specified by a smaller set. The minimum number of points in such a set is the specification number of f ....

Holoprosencephaly is the most common malformation of the forebrain and typically results in severe neurocognitive impairment with accompanying midline facial anomalies. Holoprosencephaly is heterogeneous and may be caused by chromosome aberrations or environmental factors, occur in the context of a syndrome or be due to heterozygous mutations in over 10 identified genes. The presence of these m...