The classical elementary waves in Riemann solutions include rarefaction wave, shock wave and contact discontinuity.(黎曼解涉及的經典基本波包括疏散波、激波和接觸間斷。)

Objectives: To study the changes in microvascular rarefaction of retinae in hypertensive rats and patients.(目的：了解自發性高血壓大鼠和高血壓患者視網膜微血管變化。)

Dam-break flood waves often vary rapidly or even discontinuously, with both rapid and tranquil flow behaviors, as well as both compression and rarefaction waves.(潰壩洪水波通常為迅變或間斷流動，同時兼有急流和緩流、壓縮波和稀疏波等流態。)

The asymptotic stability of the rarefaction wave has been established for the impermeable wall problem under small perturbation conditions and non-isothermal conditions.(討論了半空間中滿足無滲透邊界條件的一維黏性可壓縮熱傳導流體的流動，給出了在小擾動和非等溫條件下稀疏波的漸進穩定性。)

In the second part of Chapter 2 we give a new measure about the rarefaction waves, and a sharp decay estimate of the new measure is established for the cubic nonlinear system of conservation laws.(在第二部分，我們給出一個新的關于稀疏波的測度，而且給出了三階非線性雙曲守恒律關于這個測度的精確估計。)

Yanqing County forms an orderly urban layout combining rarefaction and density and the garden city scene with both mountain and water and distinctive characteristics.(延慶縣城形成了錯落有致、疏密結合的城市布局和山水相間、特色鮮明的園林城市風貌。)

After gaseous detonation reflects on the right wall, the right-traveling rarefaction waves accelerate the reflected shock.(氣相爆轟波在右壁面反射后，右行稀疏波加速反射激波。)

By combining the transient change model method and rarefaction wave method, the multidimensional rules to detect the leakage and locate the leak point were set up.(并結合管道瞬變模型法與負壓波法建立多維判別法則，解決輸油管道泄漏檢測及漏點定位的問題。)

Objective: For observation and treatment of diabetes followed by rarefaction of bone.(目的：觀察和治療糖尿病伴隨骨質疏松。)

Through data rarefaction treatment, the double-ordering of the discrete data is realized and the reconstruction of the inner surface of the radome is completed based on bicubic B-spline function.(通過數據的疏化處理，實現了測量型值點的雙有序，完成了基于雙三次B樣條曲面的天線罩內廓曲面重構。)