quaternions

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网络  四元法; 四元数; 四元除环; 四元数法

双语例句

• The algebra of quaternions, the first noncommutative algebra was thus suddenly born.
  四元数的代数，第一非交换的代数，就这样在一夜之间诞生了。
• In this paper, we study proper norms of the quaternions and give the forms which fit for the kernel dimensions of 1,2 or 3.They are the generalized forms of complex numbers, and we give some better results.
  讨论了四元数中的真半范数，并给出了它的一般形式，它适合核维数分别为1,2,3的情形，推广了复数域中的真半范数的一般形式，给出了一个较好的结果。
• It is not easy to study quaternion algebra problems because of the non-commutative multiplication of quaternions.
  由于四元数乘法的不可交换性，造成了对四元数代数问题研究的困难。
• Are two quaternions equal to each other?
  两个四元数相等？
• The dissertation has investigated the problem of expressing the motion group by dual numbers, dual vectors, dual matrices, attitude quaternion and dual quaternions.
  本文主要研究工作是用对偶数、对偶向量、对偶矩阵、旋转四元数和对偶四元数等对偶量研究运动群。
• The probability analysis of the rounding error is given for the numerical solution of the differential equations of the quaternions in the strapdown guidance system.
  对捷联式制导系统中四元数微分方程数值求解舍入误差进行概率分析。
• Quaternions, which extend imaginary numbers into a further dimension, began to be developed by William Hamilton in Dublin in 1843.
  1843年，威廉汉密尔顿（williamhamilton）在都柏林发明了四元数，将虚数扩展到四维空间。
• Only the bone data needs to be stored for every frame of the animation. Usually, the bone data is represented by quaternions.
  存储动画帧我们仅仅需要骨胳的数据。通常，骨胳数据由四元数表示。
• In Chapter 6, by using real quaternions and their real matrix representations, we obtain some real matrix representations of 4-dimensional Clifford numbers and some properties of these representations.
  在第六章中，应用四元数的实矩阵表示，我们给出了四维Clifford代数中元素的矩阵表示，并研究了此表示的一些基本性质；
• The matrices in CwMtx include vectors and square matrices, where vectors include space vectors and quaternions.
  CwMtx中的矩阵包括向量和方阵，其中向量包括空间向量和四元数。