Taking advantage of gauge transformation and dipolar approximation, we qualitatively derive rotating Bose-Hubbard model.Then finite temperature phase boundary between superfluid phase and normal state in rotating Bose-Hubbard model is analytically derived by studying the stability of normal state in rotating bosonic optical lattice.We also analytically prove that as the function of rotation angular velocity the oscillation of critical hopping matrix directly follows the upper boundary of Hofstadter butterfly.

4通過(guò)做一個(gè)規(guī)范變換和偶極近似国产精品视频色拍拍202，定性地推導(dǎo)了旋轉(zhuǎn)Bose-Hubbard模型，并且通過(guò)研究正常態(tài)不動(dòng)點(diǎn)的穩(wěn)定性推廣了旋轉(zhuǎn)Bose-Hubbard模型的零溫相圖到有限溫度的情形；另外根據(jù)系統(tǒng)有效的能帶寬度與旋轉(zhuǎn)速度的關(guān)系(Hofstadter蝴蝶)，得到了系統(tǒng)的臨界躍遷矩陣隨旋轉(zhuǎn)速度的改變展示諧振行為的結(jié)論国产原创在线观看网站免费下载。

Based on the current continuity equation, using spherical harmonic function expansion, where lower boundary condition is the surface atmospheric electric potential, upper boundary condition is the electric potential of the bottom of the ionosphere, and non-homogeneous current source function of the vertical dipole assumptions is used for the charging of thunderstorms, the state analytical solution of global atmospheric electricity model in lower atmosphere is gotten.

本文從電流連續(xù)方程出發(fā)，采用球諧函數(shù)展開(kāi)法www.lcmlgg.com，邊界條件采用下邊界為地表大氣電勢(shì)色五月亚洲AⅤ综合在线观看，上邊界為電離層底部電勢(shì)，非齊次電流源函數(shù)項(xiàng)采用垂直偶極子假設(shè)欧美wwwwwwww。

In the two test sites, the soil water movement numerical models of vertical-one-dimension and cross section two-dimension have been established with the softwarer Vadose/W and self-programming code, of which the advantage is that it can deals with lower boundary and the upper boundary (such as meteorologic, vegetational, etc) conditions in convenience. The fitting between the model and observation data from sites indicates that the models are relatively high precision. So the models can be used to study problems such as soil evaporation, infiltration to recharge groundwater and so on under various conditions.

運(yùn)用包氣帶水分運(yùn)移軟件Vadose/W和自編程序国广一级黄色网站，建立了兩個(gè)試驗(yàn)場(chǎng)垂向一維和剖面二維土壤水運(yùn)移模型，該模型的優(yōu)勢(shì)在于可靈活地處理下邊界和上邊界條件XⅩXX干逼，試驗(yàn)場(chǎng)觀測(cè)數(shù)據(jù)擬合表明模型精度較高最近2019年在线中文字幕大全，可用于研究各種條件下土壤蒸發(fā)、土壤水分下滲補(bǔ)給地下水等問(wèn)題久久亚洲国产中精品文字。

upper bound theorem：上限理論

upper bound solution 上限解法 | upper bound theorem 上限理論 | upper boundary flow line 上限流線

Upper management：高階層管理人員

Upper boundary 上界 | Upper management 高階層管理人員 | Upper modified limit 修正界限上限

upper chamber：上段水室

upper boundary flow line 上限流線 | upper chamber 上段水室 | upper chord 上弦