空间曲线

In the four section, from the interpolationdimension of an algebraic curve and an algebraic surface,using theoryand method of algebraic geometry, we get some interpolation of analgebraic curve and an algebraic surface, and we prove the reasonableof the interpolation dimension of an algebraic curve and an algebraicsurface.

第四章我们从沿代数曲线曲面空间的插值维数出发，利用代数几何理论与方法，给出了代数曲线曲面上的基本插值结构，并证明了我们长期应用的其上的插值维数公式的合理性。

A projection method is used to smooth out start and end points of the ruling line sets. With predefined Euclidean 6 space distances, the problem of ruled surface approximation from line sets in Euclidean 3 space can be converted into a least square B-spline curve fitting issue in Euclidean 6 space.

利用"投影"光顺法对齐直母线段族首末端点，再通过定义欧氏6空间下的距离函数，将欧氏3空间下的直线族逼近直纹面问题转换成欧氏6空间下B样条曲线最小二乘拟合问题。

The results show that, when the volume of the secondary room is 1/3 of that of the primary room,the sound energy decay in the primary room is greatly in- fluenced by the secondary room at an aperture size of less than 10% of the wall,that the energy decay curve and the coupling con- stant in the primary room gradually change with the aperture size,and that the effect of the secondary room on the acoustics in the primary room is uniform.

发现在耦合空间体积与主厅体积比为1/3的条件下，当耦合窗面积与隔墙面积比小于10%时，耦合空间对主厅的声能衰减有较大影响；主厅的声能衰减曲线和耦合常数随开口的改变而逐渐发生变化：耦合空间对主厅各点音质的影响比较均匀。华南理工大学物理科学与技术学院；华南理工大学物理科学与技术学院广东广州 510640；广东广州 510640

Namely, the first, the beginning, end and length of growing season of every type of vegetation is estimated with threshold method and moving average method, and the beginning end and length of growing season of vegetation from 1982 to 1999 is fitted linearly, finally, linear trend of the beginning end and length of growing season of vegetation is analyzed. The second, phenological phase in different years and zones is estimated based on greatest changes of slope method and EOF analysis method, and the result monitored by the two methods is compared, as a result, trend of growing season change from 1982 to 1999 in different latitude zones is better acquired. The third, phenological phase of vegetation in different spatial location from 1982 to 1999 is fitted based on curve. Then, spatial difference rules of growing season of every year and average of multi-year is discussed in article. In the end, lag correlation and linear regress are used to study relation between phenological phase of different types of vegetation, different latitude zones, different spatial places and climate changes.

利用阈值法和滑动平均法逐年估测了每种植被类型的生长季的开始、结束日期及长度；对18年中植被生长季的开始、结束时间和长度进行一次线性拟合，分析了植被生长季的开始、结束日期和长度的线性变化趋势；基于最大变化斜率法和EOF分析法估计了不同年份、不同区域内植被生长季的开始、结束时间及其长度，并对这两种方法的监测结果作了比较，从而得到了较好的不同纬度区域1982～1999年植被生长季的变化趋势；基于曲线拟合了1982～1999年的不同空间位置的植被物候期，然后讨论了每年和多年平均的植被生长季的空间分异规律；最后利用时滞相关分析和线性回归研究了不同类型植被的物候期与气候变化的相互关系，不同纬度带的植被物候期与气候变化的相互关系，植被物候期与气候变化空间相互关系。

Let me now reinsert the space you deliberately subtracted for your question, so you can feel the torque

这样就使诗歌页面上形成一种曲线空间，一种多维度的空间，而不是一种二维的欧几里得几何空间。

Four main types of spatial binary links are investigated in details for kinematic synthesis both in precision-position synthesis and multi-position synthesis. In terms of the invariants of spherical curve and cylindrical curve, the mathematical models of adaptive fitting sphere and cylinder are constructed by means of the saddle-point programming.

再次，根据常见空间机构运动副组合的约束曲线与约束曲面的曲率理论，阐述了空间机构运动综合的基本要素及其不变量拟合理论与方法，研究了有限位置和多位置情况下，自适应综合方法在空间S-S、C-S、C-C和S-C四类二副杆组运动综合中的应用，实现了自适应综合方法从平面到空间的扩展。

We shall explore the theory and computational methods of the singularities of rational planar curves and rational space curves fromμ-bases.

本文中我们将首先讨论基于μ基的平面有理曲线与空间有理曲线奇点的理论及计算。特别地。对平面有理曲线。

5Ns. The peak position of N band emission as well as the distinct emission region slightly moves towards the open end of the cylindrical cavity, and this does not happen to O band emission. Radiation transport efficiency of 6% is obtained for the φ400×1200um cylindrical cavity heated by x-ray source with radiation temperature of 118 eV.

从时间分辨的X光强度轴向空间分布来看，在较长时间（约1～1.5ns）内，O带X光在整个观测缝对应的轴向范围之内均有较大的辐射强度，在X光强度空间分布的变化过程中，其强度峰值的空间位置基本不变；而对N带X光，则只在较短时间（约0.5ns）内，在整个观测缝对应的轴向范围之内可观测到X光辐射，但只在靠近输运源约300μm的范围内有较强发射，在柱腔末端600～700μm范围之内的辐射则很弱，N带X光辐射轴向空间分布曲线的峰值位置在朝柱腔末端的方向移动，移动量大约为130～250μm。

We established the local theories of the curves which are in the semi-Euclidean 4-space, especially ,we considered some special ones of the timelike curve.

建立了R_2~4空间中曲线的局部理论，特别地，我们考虑了类时曲线中的一些特殊曲线。

The existence ofpolar nanoregions dramatically influences the extrinsic dielectric nonlinearityof paraelectric phase. 5 Slow relaxations of field induced piezoelectricresonance of paraelectric barium stannate titanate were observed after eitherapplying or removing a DC bias field. This phenomenon is attributed to slowspace charge dipoles formed by injected homocharges and validated by theobservation of a negative piezoelectric constant. Isothermal study ondielectric constant and discharging current after application or removal of astep field were performed. The relaxation laws in ferroelectric andparaelectric phases are different. The transportation of homocharges arebelieved to be responsible for the strong relaxation behavior in paraelectricphase. Domain wall can trap space charges thus the relaxation in ferroelectricphase is relatively weak. Abnormal phenomena, such as slim-waisted hysteresisloops, abnormal C-V curves and clockwise reversible hysteresis loops observedin barium stannate titanate ceramics, were attributed to pinning of gatheredpoint defect on domain walls.

5研究了直流电场施加和撤除引起的钛锡酸钡顺电相场诱压电谐振慢弛豫现象，认为这是同极性空间电荷注入形成空间电荷慢偶极子导致的，观察到的负压电常数证实了这个观点；研究了等温条件下阶跃电压作用下介电常数和放电电流的慢弛豫现象，发现钛锡酸钡陶瓷的铁电相和顺电相呈现不同的宏观性能时间依赖规律，认为是同极性空间电荷的输运过程导致了顺电相样品呈现强的弛豫行为，铁电相中存在畴壁捕获空间电荷的机制因而其弛豫行为较弱；研究了钛锡酸钡陶瓷中束腰电滞回线、反常 C-V 曲线和顺时针可逆电滞回线等反常现象，将其归因于点缺陷的聚集对铁电畴畴壁的钉扎作用，多次电场循环有助于解除这种钉扎状态，减弱反常特征。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。