gaussian curvature 中文意思是什麼
-
The gaussian curvature of no. 3 coal seam in qinshui basin is calculated
計算了沁水盆地3號煤層的高斯曲率。 -
Application of gaussian curvature method in forecasting natural fracture zones in coal seam
運用高斯曲率法預測煤層天然裂隙發育區 -
The way and principle of gaussian curvature method for forecasting natural fracture zones in coal seam are discussed
摘要論述了高斯曲率法預測煤層天然裂隙發育區的基本原理和方法。 -
It is concluded that the gaussian curvature method can reflect the shape variation of coal seam curvature, and the method is effective to forecast natural fracture zones in coal seam
分析表明，高斯曲率法可相對真實地反映煤層曲面形態變化，用該方法預測煤層天然裂隙發育區是切實可行的。 -
Based on corresponding relationship of gaussian curvature to macrofractures in coal seam and permeability, the classification criteria of gaussian curvature method for forecasting natural fracture zones is put forward
在分析高斯曲率與試井滲透率、煤層宏觀裂隙的對應關系的基礎上，提出了高斯曲率法的裂隙發育區分類標準。 -
And then, in this part, following the idea of topping [ 51, 52 ], we will show an isoperimetric inequality ( 6. 3. 1 ) on surfaces of non - positive gaussian curvature by means of the curve shortening flow on surfaces, this inequality can be considered as a generalization of the banchoff - pohl inequality in the euclidean plane
然後，仿照topping [ 51 ]和[ 52 ]利用平均曲率流證明等周不等式的想法，我們利用曲面上的曲線縮短流在gauss曲率非正的曲面上證明了一個等周不等式（ 6 -
On the other hand, the conformal deformation ' s problem is to find a metric on h2 ( - 1 ), conformal to g, with the given function k as its gaussian curvature, that is, it is important for us to study the solvability of the conformal gauss curvature equation in geometry analysis. the problem that the conformal gauss curvature equation may have a solution for every nonegative holder continuous function k ( x ) is also an open problem
） = e ~ （ 2u ） g使k是（ ? ）的高斯曲率，即共形高斯曲率方程的可解性研究是幾何分析中的一個重要問題。當預定的函數k取正值時，共形高斯曲率方程解的存在性命題作為一個猜測至今未得到解決。 -
Abstract : numerically solving equations governing the variations of the beam size and the curvature of wave front in the logarithmically nonlinear media ( lnm ), the propagating characteristics of gaussian beams have been described in detail
文摘:根據對數型非線性介質中高斯光束的束寬和波陣面曲率變化所滿足的耦合方程，採用數值計算對高斯光束的傳輸特性進行了詳細的分析。 -
In chapter 3, the elegant hermite - cosh - gaussian beams as another special case in hermite - sinusodiol - gaussian family is introduced and its propagation properties through a first - order optical abcd system are investigated. an analytical solution of the elegant herimite - cosh - gaussian beam propagating through a first - order abcd system is derived, and correspondingly, the closed - form m2 - factor, the beam width, the curvature radius and the power in bucket are presented analytically. the numerical investigations are carried out and show that the m2 - factor of elegant hermite - cosh - gaussian beam is greater than that of elegant hermite - gaussian beams and less than that of hermite - gaussian beams approximately
本文得到的主要結果可歸納為：首次用強度矩的方法研究了hermite - cosh - gaussia （ hchg ）光束，得到了hchg光束的束寬、曲率半徑、 m ~ 2因子、瑞利距離等的解析表達式；用陡峭度和pib參數去衡量hchg光束的光束質量，找到了hchg光束在傳輸過程中影響光束質量的因素並得到了變化規律；證明了hchg光束在傳輸過程中的重心和對稱性都會得到保持。
分享友人