术语“可逆性”的详细信息

英译术语:

reversibility

汉语语境:

结果发现:(1)验证研究结果大致证实了皮亚杰的实验结论:学前儿童没有完全掌握长度守恒概念，发展过程呈现一定的阶段性，并发现其在长度守恒任务中表现出思维静止、局限的倾向性。但与之不同的是，被试的发展稍有提前，表现在各年龄段正确率的有所提高。(2)对验证实验中回答正确儿童的解释进行分析，发现对于守恒运算非常重要的三个守恒规则——同一性规则、可逆性规则和补偿性规则，儿童在解释问题时都有所应用。但三个规则的重要性不同:儿童运用最多的是同一性规则，可逆性规则次之，而补偿性规则的作用很有限。

英语语境:

The results showed:(1)The retest study almost reconfirmed Piaget's conclusions: Preschoolers can't understand the concept of length conservation, and the development undergoes several stages, and their thinking was still and one-sided. However, the subjects in study improved slightly, with higher rate of correction in each age group; also, the intermediate stage found by Piaget was not very evident.(2)By analyzing the explanation of the children who answered correctly, it was found that the three important conservation rules were all used by children. However, the importance of the three rules was different: identity was used most frequently, reversibility the second and compensation was used least.

英译术语:

invertibility

汉语语境:

根据线性代数理论,证明斜腹杆体外预应力杆-索结构刚度矩阵K的可逆性.把较为复杂的K的可逆性问题转换为简单矩阵的可逆性问题;对简单矩阵的行列式进行腹杆数分别为奇数和偶数两种条件下的恒等变形,得到由腹杆、索的方向角所确定的行列式.结果表明,当腹杆倾斜布置时行列式非0;当某一腹杆垂直布置时,对未定式通过洛比达法则求极限,其行列式也非0,即K的可逆性与腹杆、索的布置方向无关.杆-索结构刚度矩阵可逆性的证明为伸缩腹杆体外预应力加固技术在控制索应力的设计方面奠定了数学基础。

英语语境:

According to linear algebra theory, the invertibility of stiffness matrix Kof pole-cable structure with externally prestressed tilted flank is proved. The problem of invertibility of the complex Kis converted to the problem of invertibility of a simple matrix and identical deformation is performed for the determinant of the latter with odd and even number of poles, so that a determinant with orientation angles of flank pole and cable as its elements is obtained. The result shows that, if the poles are arranged obliquely, its value will be nonzero, and if one of the poles is arranged vertically, its value will also be nonzero according to L' Hospital's rule, showing that the invertibility of K will be independent from the arrangement orientation of the poles and cable. The proof of the invertibility of stiffness matrix of pole-cable structure provides a mathematical basis for external prestressing reinforcement technology in the design of cable stress controlling.