Badard introduced the MS convergence on fuzzy number space and proved MS≤D∞. A counter example is given in this paper to show this conclusion is not valid. Furthermore, the relation between MS convergence and level convergence, d∞ convergence is also discussed.
Then we use the local subbase to give the structure of topology r(l) induced by level convergence and prove that the space (En, r(l)) is a T% space satisfying the first countability axiom.
3 Tunnel's numerical simulation, from vault sedimentation and horizontal convergence, shoring structure stress, surrounding rock plastic zone distribution aspects, optimizes the fittest construction method.
According to the Xiedipo double-arch tunnel engineering of the Yi-Shui(Yibin-Shuifu), by site monitoring and analyzing the deformation of the surrounding rock of the biased double-arch tunnel, the ground settlement, the vault subsidence and the horizontal convergence during each period of construction are obtained under the condition of the stratum bias and therefore the surrounding rock deformation is controlled effectively.
The influence radius of tunnel excavation on crown vertical displacement is equal to tunnel radius and the influence radius on horizontal convergence displacement is 1.5 times of tunnel radius.
Characteristics variation of surrounding rock horizontal convergence displacement and deformation ratio,crown settlement displacement and deformation ratio shows that surrounding rock of tunnel mass did not exist any stable trend in the monitoring period.
In addition,comparison of arch crown settlement and horizontal convergence of haunch between in-situ testing data and computing ones shows that the variation laws fit preferably.
In this paper we discuss the convergence of the sequence of fuzzy number, and find that the uniform metric convergence, convergence in level sets and graphs convergence are equivalent in some suitable conditions, which the limit of the sequence of fuzzy number is continous. At the end of paper, we give a suitable example.
Serious deformations occurred in the surrounding rock during construction in the mid part of the tunnel called "extruded structure zone" caused by faults F 4 and Fault F 7. The settlements of the arch crown and the horizontal deformations of side walls reached 1 000 mm and over, the primary supports had to be all or partly removed and reconstructed due to these serious deformations.
After monitoring the change of horizontal constringency and arch sedimentation of surrounding sandstone with mudstone interlayer in the No. 7 slanting shaft of Wushaoling tunnel,the data of rock initial deformation were obtained.
However, they still display much of the essential physics of tropical cyclones, including low-level convergence of mass and moisture, upper tropospheric outflow and a warm core.
This present study shows that summer warming/cooling of Eurasia and North Africa induced a shift of the main low-level convergence cell along a northwest/southeast transect.
Positive SST anomalies form to the east of low-level convergence, in part due to evaporative flux that is modified by the mean monsoon westerly belt in DJF.
The simulated fields in the tropical North Atlantic show anomalous upward motion and lower (upper) level convergence (divergence) in the atmosphere overlying the positive SST anomalies.
We have also suggested that horizontal convergence/divergence of moisture flux is generated by inertio-gravity waves, giving rise to vertically alternating layers of high/low humidity, and visible or sub-visible clouds.
The quasi-horizontal motions are characterized by relatively sharp edges (transition zones) where horizontal convergence or divergence, small-scale turbulence and vertical fluxes seem to be concentrated.
The main purpose of this paper is to find a quantity that represents the time rate of accumulation-dispersal of marine organisms, and also has some relation to the horizontal convergence of current velocity of the surrounding water.
This paper introduces following concepts:λ-Level metric of fuzzy number,λ-Level convergence of fuzzy sequence,and λ-Level space of fuzzy number etc.,and shows some relations between them and topological properties.These resultsare used to obtain topological nest and fuzzy topology generated by the topological nest.
For overcoming the problem that Monte-Carlo sampling technique normally used in power system probabilisticsimulation has low efficiency, and considering the characteristics of bulk power system reliability. this paper uses controlvariable method to reduce the variance of reliability indices and presents a new algorithm to calculate indices of both systemand nodes. It considers the effects of system risk level. criterion of convergence, choice of control variable. and selection ofparameters. The computation ...
In this paper, we study the convergence of fuzzy complex number sequences. We discuss the equivalent relationship between the metric and levelwise convergence. All this may be a foundation for reseaching fuzzy complex analysis.
水平收敛
level convergence
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