| 1. | The line integral does not depend on the shape of the path, or on the position of the wire within it .
此线积分与路径的形状无关，也与路径内导线的位置无关。 |
| 2. | If the field changes slowly, we can replace the time integral by a line integral over the unperturbed orbit .
如果场缓慢改变，我们能够用未扰动轨道的线积分来代替时间积分。 |
| 3. | Reducing line integrals to ordinary integrals
将线积分化为一般的积分。 |
| 4. | Numerical integration of ordinary integrals and line integrals
一般的积分以及线积分的数值积分。 |
| 5. | Similar formulae hold for a line integral of the second type taken over a space curve
对于空间曲线上的第二类曲线积分也有类似的公式。 |
| 6. | A line integral of the second type changes sign when the direction of the integration path is reversed
当积分路径改变方向时,第二类曲线积分改变符号。 |
| 7. | It gives a relationship between a surface integral over an oriented surface and a line integral along a simple closed curve
它建立了有向曲面上的曲面积分与它的边界曲线积分的关系。 |
| 8. | 2 the line integral of the tangential component of the magnetic field intensity h around a closed contour c is equal to the sum of currents passing through any surface s linking that contour
沿着一个闭合回路c的磁场强度的线积分等于穿过任何以此回路为边界的曲面的电流之和。 |
| 9. | We also derived the relationship between the radial local density distribution and the observed line integral density distribution by fourier integral transform . on this basis , the density inversion calculation is realized through fft method and is independent of abel inversion
另外，本文还着重推导了线积分密度分布和径向体密度分布之间的傅立叶积分变换关系，并利用快速傅立叶变换实现了完全抛开abel反演公式的密度反演计算。 |
| 10. | Experimentally , the plasma produced by cable plasma gun ( c - gun ) and dense plasma focus ( dpf ) was measured by the laser differential interferometer system . the clear interference patterns were acquired at different time . the contour maps of line integral density and curves of radial local density at different height above nozzle were presented
实验上，对等离子体断路开关中的电缆等离子体枪( c - gun )和等离子体焦点装置( dpf )产生的等离子体进行了测量，获得了对应不同时刻的清晰的干涉图像，给出了线积分密度等值线图和距喷口不同高度处的径向密度分布。 |
