1 Characteristic 0 We start with a basic question: given a polynomial f ∈ C[z1, · · · , zn] with a singularity at 0, how can we measure the “singularness” of this polynomial in a precise way? In other words: we can look at various singularities and see intuitively that some singularities are worse than others. For instance, it feels like a transverse self-intersection is probably not as bad as ...

Cosmic Rays (CR) travel at speeds essentially indistinguishable from the speed of light. However whilst travelling through magnetic fields, both regular and turbulent, they are delayed behind the light since they are usually charged particles and their paths are not linear. Those delays can be so long that they are an impediment to correctly identifying sources which may be variable in time. Fu...

aleatory contract has not been codified in iran's regulations.whereas egypt's regulations not only generally compromise aleatory contract but also give prominent examples for it. in aleatory contracts considerations are not determined, because, here, determination of a consideration is based on some factors which will be fulfilled in the future. the effect of this contract shall be es...

low stacking fault energy face centered cubic (fcc) materials contain characteristic defect structures. stackingfault tetrahedral are one of those rare structures that occur under special experimental conditions. for the first time,stacking fault tetrahedral were observed in fe-30mn-3al-3si twinning induced plasticity (twip) steel. theirpresence resulted from a quenching heat treatment.