| 1. | Automatic generation of contour in 2d scalar fields and its programming
二维标量场等值线自动生成方法与程序实现 |
| 2. | In chapter 2 , we discuss the optics self - focusing in beam propagation . the early research was based on the scalar approximation and paraxial approximation
早期的自聚焦研究是在考虑了傍轴近似和标量场近似的前提下得到的。 |
| 3. | In the first chapter , we give an overview of the thesis starting with an introduction of the no - hair therem , introduced by wheeler in the early 1970s
本文第一章前言由wheeler的“黑洞无毛”理论引出标量场在黑洞外部的衰减。 |
| 4. | Firstly , in order to make a theoretical preparation for tachyon cosmology and d - star , we briefly review the standard hot big bang cosmology with inflation
在这个模型中，快子场作为暴涨场，即由born - infeld标量场导致宇宙暴涨。 |
| 5. | The distribution of physical quantity of 3 - d scalar field of casting surface can be observed visually using the technique to display the 3 - d scalar field
采用该技术来显示铸件各部位在凝固过程中各时刻的三维标量场，可以直观地观察铸件表面三维标量场物理量的分布情况。 |
| 6. | Abstract : a display technique of surface rendering was developed in order to display the numerical simulation results of 3 - d scalar field physical quantity of the whole casting during solidification process visually and precisely
文摘:为了更直观和准确地显示整个铸件各部位在凝固过程中各时刻的三维标量场物理量的数值模拟结果，设计了一种称之为表面绘制的显示技术。 |
| 7. | Abstract : the conformal flat space - time solutions in electromagnetic and scalar theory are shown , and the indefiniteness of the plane - symmetric solutions and the method for defining a noncontinuous field by the intersection of multi - solutions are demonstrated
文摘:给出电磁场和标量场在共形平直时空中的解,发现了平面对称解的不确定性及由多重解的交集来定义一个非连续场的方法 |
| 8. | With the aid of computer algebra system maple , the nonlinear algebra equations corresponding to the nonlinear coupled scalar field equations can be successfully solved this way , and eventually many exact solutions to it can be obtained
用这种办法在计算机代数系统maple上成功地求解了非线性耦合标量场方程组所对应的非线性代数方程组，最终获得了耦合标量场方程组的众多精确解。 |
| 9. | By studying the late - time evolution of massive scalar fields in the charged black hole - global monopole background , we find that the asymptotic decay of these fields is dominated by an oscillatory inverse power - law tail , and the decay is faster in the case
我们通过对在单极子荷电黑洞背景中有质量标量场后期演化的研究，发现振荡反幂函数的衰减方式支配了有质量标量场的后期衰减。 |
| 10. | In the forth chapter , the decay of massive scalar - fields in the background of a charged black hole is examined finally in the fifth chapter , we present a detailed account of our investigation on the decay of charged massive scalar - field of in the global monopole - black hole background
第四章主要研究有质量标量场在黑洞外部的衰减，即有质量中性标量场的真空量子极化，在黑洞时空背景中有质量荷电标量场的衰减。 |
