Weak helix submanifolds of euclidean spaces

It is shown that there exist nonstrong weak 2-helix surfaces of R

GABA and Muscimol as Reversible Inactivation Tools in Learning and Memory

Reversible inactivation of brain areas is a useful method for inferring brain-behavior relationships. Infusion of GABA or of the GABA receptor agonist muscimol is considered one interesting reversible inactivation method because it may not affect fibers of passage and may therefore be compared to axon-sparing types of lesions. This article reviews the data obtained with this method in learning and memory experiments. A critical analysis of data, collected in collaboration with Simon Brailowsky, with chronic GABA infusion is presented, together with an illustration of data obtained with muscimol-induced inactivation

Surfaces in R4 with constant principal angles with respect to a plane

We study surfaces in R4 whose tangent spaces have constant principal angles with respect to a plane. Using a PDE we prove the existence of surfaces with arbitrary constant principal angles. The existence of such surfaces turns out to be equivalent to the existence of a special local symplectomorphism of $\R^2$. We classify all surfaces with one principal angle equal to $0$ and observe that they can be constructed as the union of normal holonomy tubes. We also classify the complete constant angles surfaces in R4 with respect to a plane. They turn out to be extrinsic products. We characterize which surfaces with constant principal angles are compositions in the sense of Dajczer-Do Carmo. Finally, we classify surfaces with constant principal angles contained in a sphere and those with parallel mean curvature vector fiel

A note on the determinant 308 in Proskuryakov's linear algebra book

We put in evidence and correct a mistake in the formula for the determinant 308 in Proskuryakov’s linear algebra book. We apply this formula to reprove the well-known fact that the Fubini-Study metric on the complex projective space is Einstein

Efficacy of a partially hydrolyzed whey formula on infant colic: a randomized controlled trial

Background: Infant colic (IC) affects up to 20% of infants in the first 4 months of life. Although IC is a benign affection that spontaneously resolves after the first 3-4 months of life, it is often a stressful problem for parents. Methods: Babies, aged ≤ 3 months, observed at family pediatrician office because a suspect of IC, were randomized in two groups of 3-week dietary intervention: Group 1, receiving non-analgesic, non-nutritive soothing maneuvers, continuing a standard formula; Group 2, receiving a partially hydrolyzed whey formula (w-pHF), containing GOS (0.5g/100ml), low content of lactose (2.5g/100ml) and low osmolarity (185 mOsm). All infants performed clinical examinations at enrollment and after 7, 14 and 21 days. Number of colic episodes, and the number and consistency of fecal outputs were recorded daily. Results: Fifty infants with IC were enrolled and randomized: 25 in Group 1 and 25 in Group 2. The rate of infants with IC in Group 2 decreased significantly within 14 days compared to Group 1 and the number of bowel movements increased significantly within 7 days in Group 2 compared to Group 1. Stool consistency significantly improved in Group 2 within 7 days. Conclusion: The studied formula could represent a useful approach in infants with IC reducing pharmacological treatments

The faster the better: On the shortest paths role for near real-time decision making of water utilities

Near real-time monitoring and control of critical infrastructure is essential for the operation and management of cities in a world that is, today, more complex and interconnected than ever. Such an infrastructure can be represented as complex networks an some of their related indices and statistics, many of them based on the shortest paths, play a pivotal role in the decision making for public services such as internet, energy or water. Particularly, the literature has shown that shortest paths are key for resilience and criticality assessment in a water distribution systems (WDS). This paper proposes a procedure to speed-up the computation of shortest paths in a WDS, as it can straightforwardly benefit any critical infrastructure. The proposal is based on a reduced dimension of a complex network representing any critical infrastructure. Despite the consequent decrease in the number of all possible paths in the network, the main advantage and novelty of this proposal is to continue finding the exact solution for the shortest paths. Experimental results show that the procedure brings a computational-time reduction consistently over 50% and up to 90% in some cases. In addition, the paper reveals how the use of shortest paths benefits WDS operation and management, as well as playing a key role in near real-time contamination detection and leakage control

On weak r-Helix submanifolds

In this paper, we investigate special curves on a weak r-helix submanifold in Euclidean n-space E^{n}. Also, we give the important relations between weak r-helix submanifolds and the special curves such as line of curvature, asymptotic curve and helix line.Comment: arXiv admin note: text overlap with arXiv:1203.160