点积和矩阵。阅读第三章至3.7以及做练习题。
The dot product and matrices. Read Chapter3 through3.7 and do exercises.
在第二步聚焦中，利用褶积和相关原理，生成网格点道集。
In the second focusing step, using the principle of convolution and correlation, grid point gathers are generated.
本发明羟基磷灰石纳米空心材料粒径小，孔体 积和表面积大；
The nanometer-level hollow hydroxylapatite material produced by the method is small in particle size, large in pore volume and surface area;
最后，给出模糊理想的积和模糊同余关系的积的概念，讨论了它们的一些性质。
Finally, we give the concepts of the product of fuzzy ideals and the product of fuzzy congruence relations. Some properties of them are discussed.
此算法用取大取小运算部分代替网络的积和运算，同时提出一种获取重要规则的方法。
In the algorithm maximum and minimum partly replace product and sum. The paper proposes a means to obtain the fuzzy rules, too.
根据位错贫化带理论，裂纹尖端发射的位错将在沉淀析出的金属间化合物前塞积和缠结。
On the theory of dislocation free zone, crack tip emitted the dislocations , which piled up the tangled in ahead of the intermetallic compounds.
病人血红蛋白、红细胞计数、红细胞压积和网织红细胞均显著增加，生活质量得到改善。
The content of hemoglobin, number of erythrocytes, packed cell volume, and the number of reticulocytes were increased markedly. The living quality was improved.
本文着重讨论了流体和磁流体力学在日震学方面和恒星形成中吸积和外流这两方面的应用。
This paper focuses on the application of hydrodynamics and magnetohydrodynamics to solar oscillations and accretion process and outflow in star formation.
运用逐步回归分析法得出了影响乌鳢全血粘度的主要因子为红细胞压积和红细胞聚集指数。
By means of regression analysis, it was shown that the common factors which affected whole blood viscosity of Ophicephalus Argus were hematocrit and erythrocyte aggregation index.
大洋板块俯冲有俯冲加积和俯冲侵蚀两种不同的构造作用，它可在不同的时间-空间相互转化。
The subduction of oceanic plates has two tectonic actions of subduction accretion and subduction erosion, which ar interconvertible in different time and space.
利用藻类的吸收、富积和降解作用，可有效地去除污水中的重金属和营养盐，还能降解多种有机毒物。
Utilizing algae for its absorption, enrichment and gradation can effectively eliminate the heavy metals and nutrient salts in waste water and degrade various organic contaminants as well.
第一章是向量代数，主要介绍向量的线性运算、向量的内积、向量的外积、向量的混合积和双重外积。
The first chapter is about vector algebra, introduces the vector of linear operations, inner product of vectors, vector outer product, vector product and double mixed exterior product.
王中德(1989)推广了矩阵直积，给出了矩阵第二类直积和第三类直积运算，并将此运算应用于正交变换的构造。
The matrix direct product is generalized and two kinds of direct products are given by Wang Zhongde (1989). These two kinds of direct products are applied to the construction of orthogonal transforms.
在不要求最优逼近误差平方可积和上界已知的条件下，证明闭环系统全局渐近稳定，所有信号有界且跟踪误差收敛到零。
We proved the closed systems global asymptotical stable, not needing the error upper bound and the error square integral, all the signals are bounded and the tracing error convergence.
近30多年的观测研究使得天文学家对小质量恒星的形成有了相对明确的认识：小质量恒星通过坍缩、吸积和外向流的路标而形成。
Through almost 30 years observation and study, astronomers come to a relatively clear agreement that low mass stars form by collapse, accretion and outflow.
由于河流冲刷和河床加积，沉积层多饱和多孔。
As a result of fluvial scouring and aggrading the riverbed, the alluvial layer is fluid-saturated porous medium.
风成沙丘普遍存在角砾前积、拖曳褶皱和倒转褶皱等同沉积变形构造。
The synsedimentary deformation structures are common in eolian dunes, such as brecciated foresets, drag folds and overturned folds.
一旦你得到一个这样的计算式，你对向量场做点积，这和前面这个不一样。
Once you have such a formula, you do the dot product with this vector field, which is not the same as that one.
在生活中最重要的是你的朋友，家庭，好的心情和一个对生活的极积的态度。
The most important things in life are your friends, family, health, good humor and a positive attitude towards life.
有时候我的孩子看太多的电视，有时候我花太多的时间蜷缩在椅子里看书而忽视了家里的积尘和孩子们制造的一片狼藉。
Sometimes my kids watch too much TV. Sometimes I spend too much time curled up in a chair reading a book, ignoring dust bunnies and the messes the kids make.
可以把这些用向量形式重新写下来，就是梯度向量和位置改变量的点积。
And I can rewrite this in vector form as the gradient dot product the amount by which the position vector has changed.
许多国家一直以来越积越多的货币储备和主权财富基金也是美联储同一个错误带来的后果。
The currency reserves and sovereign wealth funds that many countries have been piling up are in substantial part the result of that same Fed mistake.
更令人吃惊的是，他说，即使随机选择玩游戏A和游戏B，而不是规定固定的交替次序，收益仍然会越积越多。
Even more surprising, he said, when game A and B are played randomly, with no order in the alternating sequence, winnings also go up and up.
他们就攻破以云，但，亚伯玛音，和拿弗他利一切的积货城。
They conquered Ijon, Dan, Abel Maim and all the store cities of Naphtali.
曾明友（音），成都的经济规划部门的负责人，说虽然债务是越积越多，但成都市是在控制开支和管理风险。
Zeng Mingyou, head of Chengdu's economic planning department, said despite a mounting debt load the city was controlling expenses and managing risks.
曾明友（音），成都的经济规划部门的负责人，说虽然债务是越积越多，但成都市是在控制开支和管理风险。
Zeng Mingyou, head of Chengdu's economic planning department, said despite a mounting debt load the city was controlling expenses and managing risks.
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