scholarly journals Some proprioceptive influences on the spatial displacement component of the oculogyral illusion

1988 ◽  
Vol 43 (6) ◽  
pp. 526-530 ◽  
Author(s):  
John N. Evanoff ◽  
James R. Lackner
Author(s):  
David M. Wittman

This chapter shows that the counterintuitive aspects of special relativity are due to the geometry of spacetime. We begin by showing, in the familiar context of plane geometry, how a metric equation separates frame‐dependent quantities from invariant ones. The components of a displacement vector depend on the coordinate system you choose, but its magnitude (the distance between two points, which is more physically meaningful) is invariant. Similarly, space and time components of a spacetime displacement are frame‐dependent, but the magnitude (proper time) is invariant and more physically meaningful. In plane geometry displacements in both x and y contribute positively to the distance, but in spacetime geometry the spatial displacement contributes negatively to the proper time. This is the source of counterintuitive aspects of special relativity. We develop spacetime intuition by practicing with a graphic stretching‐triangle representation of spacetime displacement vectors.


2012 ◽  
Vol 518-523 ◽  
pp. 5886-5893
Author(s):  
Lu Cang Wang ◽  
Wei Li ◽  
Jing Gao

“The Project of Nomadic Settlement” is one of the major construction tasks for “Gannan Important Water Supply Ecological Functional Area of Yellow River”. Because of the distribution of population and settlements have obvious discreteness and wavering in alpine pasture, it is necessary to plan and guide agricultural and grazing villages during the process of the construction of nomadic settlements, spatial displacement and integration of population and settlement. The nomadic habitation mode in Luqu county undergoes four stages. At present, it adopts four settlement modes, that is, centralized settlement mode in the county town, settlement mode in the village, settlement along the highway mode and dispersed settlement mode, involving a total of 2,645households,13,783people and be arranged in 21 settlements. The paper adopts 14 indicators related conditions of economic development, social development conditions, geographic conditions, measures the overall strength of 24 administrative villages in Luqu, the whole villages are divided into four grade. The results show that the suburban villages are better than the surrounding villages and towns, pure pastoral farming are better than farming-pastoral villages. Accordingly, 24 villages are divided into four types—community-based villages, developing villages, controlling villages, and revoking-merging villages. Finally, it also proposes the path on village plan guidelines.


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