ON CRACK PROBLEMS IN AN INFINITE PLANE CONSISTING OF THREE DIFFERENT MEDIA

The mathematical problem of an infinite elastic plane consisting of three different media with an arbitrary number of cracks is considered. It is reduced to singular integral equations along the interfaces and the cracks by a constructive method. Those along the interfaces are further reduced to Fredholm ones.

Elusive workers are more likely to differentiate into replacement reproductives than aggressive workers in a lower termite

One of the most intriguing questions in eusocial insects is to understand how the overt reproductive conflict in the colony appears limited when queens or kings are senescent or lost because the morphologically similar individuals in the colony are reproductively totipotent.Whether there are some individuals who preferentially differentiate into replacement reproductives or not has received little attention.The consistent individual behavioral differences(also termed“animal personality”)of individuals from the colony can shape cunningly their task and consequently affect the colony fitness but have been rarely investigated in eusocial insects.Here,we used the termite Reticulitermes labralis to investigate if variations in individual personalities(elusiveness and aggressiveness)may predict which individuals will perform reproductive differentiation within colonies.We observed that when we separately reared elusive and aggressive workers,elusive workers differentiate into reproductives significantly earlier than aggressive workers.When we reared them together in the proportions 12:3,10:5,and 8:7(aggressive workers:elusive workers),the first reproductives mostly differentiated from the elusive workers,and the reproductives differentiated from the elusive workers significantly earlier than from aggressive workers.Furthermore,we found that the number of workers participating in reproductive differentiation was significantly lower in the groups of both types of workers than in groups containing only elusive workers.Our results demonstrate that the elusiveness trait was a strong predictor of workers’differentiation into replacement reproductives in R.labralis.Moreover,our results suggest that individual personalities within the insect society could play a key role in resolving the overt reproductive conflict.

The Difference in Cognition Consistency Between the Sciences and Humanities

It is reasonable that the strict sciences represented by mathematics, physics and chemistry have nearly been a kind of substitutional belief of humans after "the Death of God". To conclude theoretically, the significant attraction or the extremely great power of science is, in a word, the validity of thinking and action. From the viewpoint of human action or prac-