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1·This method is helpful for us to find the way of the analytic solution of scalar field equation.

他们的解析解法对我们寻求标量场方程的解析解有着重要的启发意义。

2·If a scalar field changes slowly, it resembles a constant, both in its fixed magnitude and in its lack of directionality;

如果纯量场变化缓慢，它就会有固定的大小，而且没有 方向性，就像一个常数一样；

3·Then, based on above review, we propose an analytical tachyon inflation model driven by scalar field with Bom-Infeld-type Lagrangian.

在上述评述的基础上，第二部分讨论了快子宇宙学，其中核心的内容是提出了一个精确可解的快子暴涨模型。

4·The functional formalism for the effective potential is briefly reviewed for the case of a scalar field theory by using the method of steepest descents.

本文首先在标量场论的情形下，用最速下降法对有效势的泛函形式作了简要的评论。

5·In the first chapters, the concepts of black hole and the event horizon, black hole radiation, the thermal properties of black hole, and scalar field radiation are introduced briefly.

在论文的第一章，简单地介绍了黑洞的形成、视界的概念、黑洞的热性质以及黑洞辐射和标量场辐射等基础知识。

6·Starting from Helmholtz's theorem, the uniqueness conditions of scalar field are obtained based on the fact that the scalar field can be regarded as a special example of vector field.

将标量场视为矢量场的一种特例，从亥姆霍兹定理出发导出标量场的唯一性条件。

7·The curl of a vector field in space is actually a vector field, not a scalar function. I have delayed the inevitable.

空间中的向量场的旋度，是一个向量场，而不是一个标量函数，我必须告诉你们。

8·To return a result, scalar rules only require the field values of the record that is currently evaluated.

为返回一个结果，标量规则只需要记录的当前已评估字段值。

9·It is the connection of the geometrical structures of the morphogenetic field scalar grids that allows for a being to attain a conduit of communication with its ascended mastery identity levels.

其与形态生成场域标量栅格的几何结构的连结，使之能够与其扬升大师层面维持通讯管道。

10·Using wave guide theory, we deduce scalar approximate solution about transmissive light through a fiber weak-guide and give the expressions of field in each component.

根据光波导理论，推算出弱导条件下光沿光纤传输场的标量近似解，给出场的各分量表达式，以便分析讨论。