On Pseudopoints of Algebraic Curves

Following Kraitchik and Lehmer, we say that a positive integer $n\equiv1\pmod 8$ is an $x$-pseudosquare if it is a quadratic residue for each odd prime $p\le x$, yet is not a square. We extend this defintion to algebraic curves and say that $n$ is an $x$-pseudopoint of a curve $f(u,v) = 0$ (where $f \in \Z[U,V]$) if for all sufficiently large primes $p \le x$ the congruence $f(n,m)\equiv 0 \pmod p$ is satisfied for some $m$. We use the Bombieri bound of exponential sums along a curve to estimate the smallest $x$-pseudopoint, which shows the limitations of the modular approach to searching for points on curves

Stability of the Einstein static universe in presence of vacuum energy

The Einstein static universe has played a central role in a number of emergent scenarios recently put forward to deal with the singular origin of the standard cosmological model. Here we study the existence and stability of the Einstein static solution in presence of vacuum energy corresponding to conformally-invariant fields. We show that the presence of vacuum energy stabilizes this solution by changing it to a centre equilibrium point, which is cyclically stable. This allows non-singular emergent cosmological models to be constructed in which initially the universe oscillates indefinitely about an initial Einstein static solution and is thus past eternal.Comment: Some references adde

Motorcycle Potential Problems in Jakarta

After the economic crisis in 1997, motorcycles become a popular transport mode in Indonesian cities.However this condition leads to large number of violation and accident rate. This study tried to discuss howthis problem started and what possible measure can be taken to solve the problems, mainly based on literaturereview. The traffic data used were compiled from the data provided by PT Pamintori Cipta. Interview surveywas conducted to find people perception of motorcycles issues. The conclusion suggests that there is a needof further comprehensive study to find out what condition that makes motorcyclists voluntary return to usepublic transport and social engineering and intensive training program should be implemented for youngergeneration to improve traffic condition in Jakarta

The effects of endosulfan on P450 1A gene expression, antioxidant enzymes activity and histopathological alterations in liver of Persian sturgeon (Acipenser persicus Borodin, 1987)

The effects of 14 days exposure to sublethal concentrations of endosulfan (10 and 40 μg L−1) were investigated in mRNA- P450 1A expression, antioxidant enzymes (SOD and CAT) activity and histopathological alterations of Persian sturgeon (Acipenser persicus) fingerlings with weights of 3–5 g. The results illustrated that the relative mRNA- P450 1A expression level significantly increased (P < 0.05) compared to the control group. Highest significant increase (P < 0.05) was observed on the first day, then decreased towards day 14 of exposure. The SOD and CAT activity showed a significant increase in fish exposed to different concentrations up to day 7, then activity decreased on day 14 in fish of all treated groups. Although signs of tissue lesions were observed on day 4, they increased from day 7 and reached the highest level on day 14. The magnitude of all changed studied parameters (gene expression, enzymes and histopathological) follows a concentration-dependent manner. © 2016 Blackwell Verlag Gmb

Literature Review of The Store Windows Display Influences on Consumers Attractiveness Through the Layout Design

Windows display is one of the important aspect in retail design in order to increase consumer product awareness. The store windows design had been varied especially with the creative visual merchandiser in managing a visual approach of store windows display. Flat type store windows display often used in Bandung Retail, and has characteristic of its own retail brand image to improve attractiveness. Layout design of a store windows display has an important role for the influence of consumer behavior especially in shopping attitudes. This research identify the effects of WAKAI and MANGO store windows display at Trans Studio Mall on consumer attractiveness through the implementation of layout design principles Keywords Store Windows, Retail, Attractiveness, Layout design

Liquid Level Sensor for High Temperature Molten Salt in Confined Container

Electrical resistance measurements on different rod materials in liquid solutions, molten salts, or molten lead are considered to design a liquid level sensor in a sealed containers when the temperature of the fluid is very high (~1000ºC) and conventional measurements are not possible due to properties of the fluid or condition of the container. An analytical solution to the problem is adopted to reduce the cost of the sensor and overcome the difficulties of calibration of sensors at high temperature for prediction of the level of liquid. An electrical circuit model is suggested for analytical solution to compute the resistivity versus height of the electrode rod submerged in the liquid in a narrow container. Good prediction of circuit model for experimental results is verified by comparison of analytical results of different combination of liquid solutions and rods’ material with experimental graphs