A necessary and sufficient condition for the resolution of the weak extension problem is given. This criterion is applied to also give a criterion for the solvability of the classical Bochner’s extension problem in the L–category. The solution of the L–extension problem by Bochner [1] giving the relation between the order of the operator, the dimension, and index p, for which the L–extension pr...

shortage of water is one the main factors limiting the development of agricultural activities and farmer participation is critical to improve on-farm water management and crop productivity. this research was done with aim to identify impeding and facilitating factors influencing on using new irrigation methods by farmers in west boshroyeh township in southern khorasan. the methodological approa...

We study the Multi-critical Point Principle (MPP) in a complex singlet scalar extension of Standard Model (CxSM). The MPP discussed this selects model parameters so that two low-energy vacua realized by fields are degenerate. further note may inhibit electroweak phase transition (EWPT) certain class models where tree-level potential plays an essential role its realization. Despite that, we show...

Peridynamics (PD) is a nonlocal continuum theory based on integro-differential equations without spatial derivatives. The elongation fracture criterion is implicitly incorporated in the PD theory, and fracture is a natural outcome of the simulation. On the other hand, a new fracture criterion based on the crack opening displacement combined with peridynamic (PD-COD) is proposed. When the relati...

Integrated modular avionics architectures combined with the emerging SAE TTEthernet standard provides a strong infrastructure for the deployment of mixed-critical avionic applications having stringent safety, reliability and performance requirements. The integration of such systems is a very complex and challenging engineering task. Therefore, a model-based approach, which endows system enginee...