证明用的

An intellectual short-cut, using a tautology:"It is true because....it is true."

用重复的方式来证明："因为。。。是真的，所以它是真的。"

The first statement was posed as a teaser: it had already been proved by the authors.

第一种观点是用来抛砖引玉的：它早已被作者证明过。

Then the convergence of this algorithm is proved using the theory of probability.

用概率论有关理论证明了算法的收敛性。

Hollywood has already shown it can be a fickle partner, with some of its thespian elite lashing out in 2007 against Mr Spielberg's involvement.

好莱坞方面用许多事实证明了他们是多么嬗变。其中有包含07年的一些演员反对斯皮尔伯格到北京。

Equivalence of invariant mean and topological invariant mean is showed by two methods.

用两种方法证明左不变平均和拓扑左不变的等价性。

The substitution of triangle: used for conditions inequality proof, when given condition is relatively complex, a variable to use another variable representation, then can consider triangle substitution, the two variables are the same parameters.

1三角代换法：多用于条件不等式的证明，当所给条件较复杂，一个变量不易用另一个变量表示，这时可考虑三角代换，将两个变量都有同一个参数表示。

This study demonstrates that the thermal dilution technique of determining cardiac output is valid when acute tricuspid valve regurgitation is present in pigs.

本研究证明猪存在三尖瓣反流时用热稀释法测定心输出量是准确的。

Chapter 5 proves the equivalence of Hopfield neural networks and Turing machine.

给出了用Hopfield网计算部分递归函数的构造性证明。

The biggest deflection of elastic unit and the stress were simulated by the ANSYS software.

用ANSYS有限元分析弹性元件最大挠度和应力，证明设计是合理的。

He, also proved a word by his unordinary experience: Wisdom creates wealth.

他，更用那不平凡的人生经历向我们证明了这样一句话，智慧创造财富。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。