The vanishing cohomology of non-isolated hypersurface singularities

We employ the perverse vanishing cycles to show that each reduced cohomology group of the Milnor fiber, except the top two, can be computed from the restriction of the vanishing cycle complex to only singular strata with a certain lower bound in dimension. Guided by geometric results, we alternately use the nearby and vanishing cycle functors to derive information about the Milnor fiber cohomology via iterated slicing by generic hyperplanes. These lead to the description of the reduced cohomology groups, except the top two, in terms of the vanishing cohomology of the nearby section. We use it to compute explicitly the lowest (possibly nontrivial) vanishing cohomology group of the Milnor fiber.Comment: comments are very welcome! v2: mild changes and clarifications of the text; v3: more clarifications to the text are added, an obvious typo in the statement of Theorem 5.5(a) is corrected, the computations in Example 6.4 are revised; v4: the exposition in Section 5 is simplified and Example 6.5 is adde

Clustering polar curves

This essay builds on the idea of grouping the polar curves of 2-variable function germs into polar clusters. In the topological category, one obtains a bijective correspondence between certain partitions of the polar quotients of two topologically equivalent function germs. We explain how this bijective correspondence may be refined in the Lipschitz category in terms of the associated gradient canyons.Comment: updated, revised versio

Vanishing cohomology and Betti bounds for complex projective hypersurfaces

We employ the formalism of vanishing cycles and perverse sheaves to introduce and study the vanishing cohomology of complex projective hypersurfaces. As a consequence, we give upper bounds for the Betti numbers of projective hypersurfaces, generalizing those obtained by different methods by Dimca in the isolated singularities case, and by Siersma-Tib\u{a}r in the case of hypersurfaces with a $1$-dimensional singular locus. We also prove a supplement to the Lefschetz hyperplane theorem for hypersurfaces, which takes the dimension of the singular locus into account, and we use it to give a new proof of a result of Kato.Comment: v2: clarified the proof of Theorem 1.6 and fixed some typos; any comments are greatly appreciated! v3: added Corollary 1.6 and reorganized Sections 3.2 and 3.

Aspects Regarding the Tracking of the Behavior in Time of Vâlsan Dam, Arges County, Romania

This paper aims to highlight the behavior in time monitoring of a hydrotechnical construction by establishing the displacements compared to the base tranche and the previous tranche, processing these measurements and establishing conclusions on the behavior of the analyzed construction. The main purpose of this paper is to study if there are any displacements of the studied hydrotechnical construction between different measurements tranches. Field measurements were performed between September - December 2016, after which the data was processed at the office with specially developed programs for this purpose. For the micro-triangulation stage, respectively for measuring the directions and distances, were used Leica TS02 Plus R500 total stations. The measurement accuracy of this total station is 1” for directional determination and 1.5mm + 2ppm for distances. Tracking the behavior in time of hydrotechnical constructions are of great importance, because it can prevent many calamities like breaking the dam, floods etc

HISTOPATHOLOGICAL CHANGES IN THE LIVER AND KIDNEY TISSUES OF MARSH FROG (Pelophylax ridibundus) INDUCED BY THE ACTION OF TALSTAR 10EC INSECTICIDE

Abstract. Histopathological biomarkers of toxicity in frog organs are a useful indicator of environmental pollution. The frogs were experimentally exposed to sub-lethal concentrations (0.5mg bifenthrin/g of body weight) of Talstar 10EC for 3 weeks. The present study proves its toxic potential in terms of the damages in liver and kidney level. Tissues were normal in the control group. Hepatic lesions in frog exposed to bifenthrin were characterized by vacuolation of hepatocytes and nuclear pycnosis, perisinusoidal and periportal fibrosis, dilatation of Disse space and sinusoid capillaries, presence of cellular infiltrates. Kidney lesions consisted of dilation of Bowman's space, tubular necrosis, and epithelial cells shows pycnotic nuclei, discrete degree of interstitial edema

HISTOPATHOLOGICAL CHANGES IN THE LIVER AND KIDNEY TISSUES OF MARSH FROG (Pelophylax ridibundus) INDUCED BY THE ACTION OF TALSTAR 10EC INSECTICIDE

Abstract. Histopathological biomarkers of toxicity in frog organs are a useful indicator of environmental pollution. The frogs were experimentally exposed to sub-lethal concentrations (0.5mg bifenthrin/g of body weight) of Talstar 10EC for 3 weeks. The present study proves its toxic potential in terms of the damages in liver and kidney level. Tissues were normal in the control group. Hepatic lesions in frog exposed to bifenthrin were characterized by vacuolation of hepatocytes and nuclear pycnosis, perisinusoidal and periportal fibrosis, dilatation of Disse space and sinusoid capillaries, presence of cellular infiltrates. Kidney lesions consisted of dilation of Bowman's space, tubular necrosis, and epithelial cells shows pycnotic nuclei, discrete degree of interstitial edema

3-DIMENSIONAL ANALYSIS OF THE STRESS-STRAIN RELATION DURING ORTHODONTIC ANCHORAGE ON DENTAL IMPLANTS

This study uses the Finite Element Analysis (FEA) to investigate the stress-strain relation in peri-implant bone, caused by orthodontic anchorage. Materials and method. A tridimensional (3D) mathematical model was created to simulate the frontal teeth distalisation during anchorage on three dental implants. Using FEA was calculated the distribution of equivalent von-Mises stress when orthodontic forces of 2, 3 and 4 N were applied. ANSYS v11 software was properly configured for strain analysis in the model using FEA. Results and discussion. Periradicular maximum equivalent von-Mises stress values were 4,54 MPa for 2 N force, 6,82 MPa for 3 N force and 9 MPa when 4 N force was applied. Conclusions. FEA is a calculation method widely used in structural analysis that proved successfully in medical research. The forces caused by implant anchorage caused peri-implant bone stress in the model. The values of this stress correlated with the criterion of bone remodeling caused by mechanical load, and relative to study conditions, did not revealed biomechanical overload of periimplant bone structur

Some Aspects regarding the Basic Index Number Theory

The index number problem can be framed as the problem of decomposing the value of a well-defined set of transactions in a period of time into an aggregate price term times an aggregate quantity term. It turns out that this approach to the index number problem does not lead to any useful solutions. The problem of decomposing a value ratio pertaining to two periods of time into a component that measures the overall change in prices between the two periods (this is the price index) times a term that measures the overall change in quantities between the two periods (this is the quantity index) is considered

Association between Liver Cirrhosis and Diabetes Mellitus: A Review on Hepatic Outcomes

Background: Liver cirrhosis (LC) is largely associated with diabetes mellitus (DM). More than 80% of patients with LC manifest glucose intolerance and about 30% have type 2 DM. A particular and yet unrecognized entity is hepatogenous diabetes (HD), defined as impaired glucose regulation caused by altered liver function following LC. Numerous studies have shown that DM could negatively influence liver-related outcomes. Aim: We aimed to investigate whether patients with LC and DM are at higher risk for hepatic encephalopathy (HE), variceal hemorrhage (VH), infections and hepatocellular carcinoma (HCC). The impact of DM on liver transplant (LT) outcomes was also addressed. Methods: Literature search was performed in PubMed, Ovid, and Elsevier databases. Population-based observational studies reporting liver outcomes in patients with LC were included. Results: Diabetics are at higher risk for HE, including post-transjugular intrahepatic portosystemic shunt HE. DM also increases the risk of VH and contributes to elevated portal pressure and variceal re-bleeding, while uncontrolled DM is associated with increased risk of bacterial infections. DM also increases the risk of HCC and contributes to adverse LT outcomes. Conclusions: Patients with DM and LC may benefit from close follow-up in order to reduce readmissions and mortality. Due to the heterogeneity of available research, prospective multicenter clinical trials are needed to further validate these findings