In earlier work, the second named author described how one may extract Darmonstyle L -invariants from modular forms on Shimura curves that are special at p. In this paper, we show that these L -invariants are preserved by the Jacquet–Langlands correspondence. As a consequence, we prove the second named author’s period conjecture in the case where the base field is Q. As a further application of...

For more than a decade, educators and media critics have been arguing that we are on the threshold of a new age of visual thinking (e.g., Pittman, 1990). Their reasoning: young people's minds are now being molded from the earliest years by intense exposure to television and other visual media; consequently, the young people of today are part of a new 'visual generation.' This is a widely accept...

The aim of the present research is to simulate the heat treatment process of the autogenous grinding (AG) shell liner of Cr-Mo steel in different quenching media (still air, air blowing, oil and water) using ABAQUS software, in order to calculate the cooling curves. In this regard, the microstructure and hardness for each arbitrary point within the mill liner's bulk could be predicted based on ...

Modifying stress-strain curves is one of the important topics in mechanical engineering and materials science. Real stress-strain curves should be modified after necking point as stress becomes three-dimensional after creation of throat, and consequently, equivalent stress should be used instead of axial one. Also, distribution of triple stresses across throat section is not uniform anymore, an...

One of the serious damages of tremendous earthquakes is the damage to bridges as the major components in an    arterial road network, as relief operation is interrupted following cutting roads. Regardless of the magnitude and severity of an earthquake, other factors are also important in the strength and seismic performance of concrete bridges. Freezing-thawing cycles are among the factors, whi...

In this paper simple quartic trigonometric polynomial blending functions, with a tensionparameter, are presented. These type of functions are useful for constructing trigonometricB´ezier curves and surfaces, they can be applied to construct continuous shape preservinginterpolation spline curves with shape parameters. To better visualize objects and graphics atension parameter is included. In th...