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This paper gives two methods& the small triangle method and the doub-le triangle method for simulating hinge joints in order to analyse the fra-mes with hinge joints, using the simple frame program.

本文提出了两种增设杆件和刚结点来模拟铰结点的方法&小三角形法和双三角形法，以使能利用简单的平面刚架程序来计算带有铰结点的刚架。

The relationship between environmental factors ( climate and soil) and plant life form gradient was analysed by doub sieving progressive regression method, and mathematical models were set up.

并用双重筛选逐步回归的方法分析了环境（气候和土壤）因子与植物群落生活型谱梯度的关系，建立了相应的数学模型。

According to Mr. Doub, a healthy home is built on a foundation of three skills: to speak, to listen, and to cooperate.

据都伯先生说，一个健康的家庭应当建立在三个技能的基础之上：说、听、合作。

Observation window in middle of the door made of doub -layer toughened glass for observing heated things any time.

箱门中间装有双层钢化玻璃观察窗，可随时观察工作室内被加热物品的情况。

"Once you have made rules, it is important for parents to stick together to enforce them, " said Mr. Doub.

一旦你已经定下规矩，家长们共同商量是很重要的。