We investigate finite commutative groupoids G = 〈G, ◦〉 such that g ◦ h 6= g for all elements g, h of G. First, we show that for any such groupoid, its weak (i.e. partial) subgroupoid lattice uniquely determines its subgroupoid lattice. Next, we characterize the lattice of all weak subgroupoids of such a groupoid. This is a distributive finite lattice satisfying some combinatorial conditions con...

In a recent paper of Tamura, Merkel, and Latimer [2], the following question was raised: Suppose 5 is a groupoid (cf. [l]) which satisfies: (1) There is at least one left identity in S. (2) If y or z is a left identity of 5, then x(yz) =■= (xy)z for all xES. (3) For all a, bES there exists x£5 such that ax = b. Then does S satisfy: (3') For any xES there is a unique left identity e (which may d...

It is shown that a central extension of a Lie groupoid by an Abelian Lie group A has a principal A-bundle structure and the extended Lie groupoid is classified by an Euler esclass. Then we prove that for a symplectic α-connected, αβtransversal or α-simply connected groupoid, there exists at most one central S-extension, the Euler es-class of which corresponds to the Poisson cohomology class of ...

The present article reviews the use of polyethylene glycol (PEG) or polyoxyethylene (POE) as the stationary phase for the separation of inorganic anions in ion chromatography and discusses about the retention mechanisms involved in the separation of anions on the novel stationary phases. PEG permanently coated on a hydrophobic stationary phase retained anions in the partition mode and allowed ...

A Product of Experts (PoE) model is a probabilistic model which combines a number of individual component models by multiplying their probabilities. A typical PoE model is an exponential family Harmonious introduced by Welling et al. In this paper, we apply a hierarchical PoE model, Complex-Cell Model (CCM), to image retrival and compare the performance with a kind of standard harmonious model,...

The authors retrospectively explored cortical differences between 26 patients with temporal lobe epilepsy and psychosis of epilepsy (POE), 24 patients with temporal lobe epilepsy (TLE) alone, and 20 healthy comparison subjects. Using voxel-based morphometry based on statistical parametric mapping (SPM99), which is an unbiased and fully automated technique to test for morphometric differences, m...

Background: Medication dosing errors may have grave consequences for neonatal patients. Computerized Physician Order Entry (CPOE) with dosing decision support functionalities has been effective in reducing these errors. However, the adoption rate is low. Physicians' resistance has been identified as a significant barrier. To reduce this resistance, the system should be designed in close collabo...

Edgar Allan Poe was one of the most celebrated writers of all time. He published several masterpieces, some of which include references to neurological diseases. Poe suffered from recurrent depression, suggesting a bipolar disorder, as well as alcohol and drug abuse, which in fact led to his death from complications related to alcoholism. Various hypotheses were put forward, including Wernicke'...