P-Compactness in L -Topological Spaces

Wen

2012

AMR

The morphology and particle size of boehmite play a decisive role on the application of alumina that derived from it. In this paper, we employed pseudoboehmite that produced from Al2 (SO4)3•18H2O and NH3•H2O at 70 °C, pH 7.5 as precursor to synthesize boehmite, and utilized different seeding when preparing pseudoboehmite and boehmite. To identify the influence of seeding on the microstructure of pseudoboehmite and boehmite, the products were characterized by X-ray powder diffraction (XRD), field-emission scanning electron microscopy (FE-SEM) and BET. The results indicate that the pseudoboehmite seeding has a significant influence on the morphology and particle size of pseudoboehmite to which we should pay high attention. However, the boehmite seeding does not play the role of crystal nucleus as expected. The further intrinsic mechanism study is ongoing.

Section: Methodsmentioning

confidence: 99%

Effect of Seedings on the Microstructure of Hydrated Alumina

Wen

2012

AMR

“…Shi 4 obtained P-sets by introducing dynamic characteristics into Cantor set and improving . Cantor set is given, and is attribute set of , the concepts and characteristics of P-sets are as follows: Supplementing some attributes in , then becomes , ; becomes internal P-sets , ; Deleting some attributes in , then becomes , ; becomes outer P-sets , ; If attributes are supplemented and deleted in at the same time, becomes and , where ; becomes internal P-sets and outer P-sets , where ; or becomes , is the P-sets generated by .…”

Section: Introductionmentioning

confidence: 99%

Data block decomposition and intelligent secure acquisition of microdata

Zhang

Lin

Kai-quan

2023

Sci Rep

P-sets (P stands for Packet) is a set model with dynamic characteristics, which is obtained by introducing dynamic characteristics into Cantor set and improving Cantor set. According to the fact that the characteristics of class I big data are completely consistent with the basic characteristics of P-sets, this paper gives research on theory and application on class I big data from the view of mathematics. Here we introduce Class I big data which need some new definitions of data block, microdata and data link. Based on these concepts, decomposition theorem of data block and microdata relation theorem are given, and then attribute reasoning theorem and microdata intelligent discovery and the intelligent secure acquisition algorithm of microdata are also proposed. By using these theoretical results, the applications of secure acquisition of microdata are presented. In summary, P-sets mathematical model provides a new theory and method for studying class I big data.

“…Hrennikoff discretizes the domain by using a lattice analogy while Courant divides the domain into finite triangular regions for solution of second order elliptic partial differential equations that arise from the problem of torsion of a cylinder. Courant's contribution was evolutionary, drawing on a large body of earlier results from Rayleigh, Ritz, and Galerkin [6][7][8][9][10][11][12] .…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of Slide Vane Compressor Stator Based on Finite Element Method

Qian

Yin

Xie

2014

AMM

Mode analysis is important for slide vane compressor stator. Because of period force may set up resonance in the stator. In this paper, the stress distributions and vibration modes of stator of sliding vane compressor were studied through finite element method (FEM). The first-order vibration mode to five-order vibration mode of stator were computed. The results showed that the resonance frequencies are much larger than the working frequency. It is significant for sliding vane compressor design, fatigue life prediction and reliability assessment.