乘法的

We cannot always have associative law for operations, for instance, we did not have this law for mixed addition and multiplication,neither for subtraction, 2+3 2+1≠(2+3)(2+1)=5 3,（2-3）- 2≠2-（3-2）,this is why we have to set the rule in operations that "doing inside bracket at first and out side afterwards, doing multiplication and dividing first and addition and subtraction afterwards".

注意运算的结合律并不是永远对的，比如加法和乘法的混合运算就没有结合律，减法也没有，2+3 2+1≠5 3，（2-3）- 2≠2-（3-2），因此我们运算中总是规定先括号内再括号外，先加减后乘除。

This is an article on the literature of system identification algorithm is a recursive least squares method improvements.

详细说明：这是一篇关于系统辨识算法的文献，是对递推最小二乘法的改进。

In this work, an algorithm for arbitrarily resizing images in DCT domain based on the distributive property of unitary transformation to matrix multiplication is advanced and the relationship between blocks and sub-blocks is addressed.

本文根据空域中块与子块的相互关系以及酉变换对矩阵乘法的分配率，提出了 DCT 域内任意比例图像上下采样算法。

An efficient central ellipse algorithm for estimating the echo peak positions of ultrasonic sampling was presented to find the accurate receive time of echo by searching the peak of energy bursts, which is base on the theories of energy centrobaric correction method and least square method in the ultrasonic ranging system.

基于能量重心校正法和最小二乘法的原理，提出了一种改进型椭圆中心超声回波寻峰算法：通过曲线拟合搜索椭圆中心点，即回波信号能量集中点，进而找到回波信号的峰值点。

This cache allows full-speed execution of core, looped operations such as digital filter multiply-accumulates, and FFT butterfly processing.

此缓存可以全速执行的核心，循环操作，如数字滤波器乘法的积累，以及FFT蝶形处理。

Since DDA is still under development, one of concerns is how to improve block displacement functions so that the block stress precision can be improved.

第四章进一步研究基于自然邻接点插值法的DDA方法，对比了其与移动最小二乘法的优劣，表明前者计算效率更高，缺点是需要处理特殊网格生成。

In other words, the Scholastics oppress and confuse by an unnecessary multiplication of duties and non-duties.

在换句话说， scholastics压迫和混淆所造成不必要的乘法的职务和非职务。

Reciprocal multiplications are quite easy to detect when you know what to look for.

当你理解了倒数乘法的原理以后，从汇编代码中发现它还是比较容易的。

Therefore, the computational complexity can be reduced up to 2.7% and 7.8% with respect to the original multiplications and additions.

因此，运算量可以被降至原本乘法的2.7%和加法的7.8%。

As it is expected, the main obstacle in the study of quaternion matrices is the non-commutation in multiplication of quaternions.

实四元数矩阵研究的主要难点是四元数乘法的不可交换性。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。