Quaternions

[数]四元数

常用释义

n. [数]四元数；四元法（quaternion 的复数）

扩展信息

四元数

四元数（Quaternions）是由威廉·卢云·哈密尔顿(William Rowan Hamilton,1805-1865）在1843年爱尔兰发现的数学概念。四元 …

四元法

旋转是被存储作为四元法（quaternions）并且能被球状线性插值（spherical linear interpolation）进行插值运算。函数D3DXQu…

四元除环

...域 3.1 除环与域的定义 3.2 例子 3.3 四元除环(Quaternions) 例1 全体有理数作成的集合对于普通加法和乘法来说显然是一个 …

例句

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。

W component of the Quaternion. Don't modify this directly unless you know quaternions inside out.

四元数的W组件。不要直接修改这个，除非你很了解四元数。

Of course, you 'll also need to be able to convert from "conventional" representations to quaternions.

当然，你可能也会用到四元数转换的“常规”表示法。

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。

Quaternions extend the concept of rotation in three dimensions to rotation in four dimensions.

四元数将三维中旋转的概念扩展到四维中的旋转。

Determines the product of a quaternions and a specified factor.

确定四元数与指定因数的乘积。

Quaternions were originally invented as an extension to complex numbers.

四元数最早是为了扩展复数应用而产生与发展起来的。

Compares the specified quaternions to determine whether they are the same.

对指定的四元数进行比较以确定其是否相同。

Quaternions are a compact, unintuitive way of representing rotations.

四元数是表现旋转的结实的、非直观的方法。

Compares the current specified quaternions to determine whether they are different.

对当前指定的四元数进行比较以确定其是否不同。

Quaternions do not suffer from gimbal lock, because they do not express rotations relative to three separate axes.

四元数就不会遭受万向节锁的痛苦，因为它不用三个分离的轴表示旋转。

Quaternions are used to represent rotations.

四元数用于表示旋转。

Determines the product of two quaternions.

确定两个四元数的乘积。

This function tests whether dot product of two quaternions is less than 1. 0.

这个函数测试两个四元数的点乘是否接近1.

Multiplies the two specified quaternions.

将两个指定的四元数相乘。

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，就这样突然诞生了。

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。

You pretty much know all the important stuff about quaternions now.

你现在几乎获得了所有关于四元数的重要信息。

Aim To check and analyze the developmental process from quaternions to vector.

目的考察和分析从四元数到向量的发展历程。

Returns the dot product of two quaternions.

返回两个四元数的点积。

The criterion of equality of two quaternions is that their scalar parts shall be equal.

两个四元数相等的准则是，它们的数量部分相等。

The dot product of the two quaternions .

两个四元数的点积。

Are two quaternions different from each other?

两个四元数是不相等的？

Except for one thing: you don't have a good reason to use quaternions yet.

但除了一件事情，你还没有明白为何要使用四元数的原因。

The second argument that is commonly given for the use of quaternions is the possibility of smoothly interpolating between two orientations.

使用四元数的第二个理由，就是其可实现两个状态间的平滑插值。

Are two quaternions equal to each other?

两个四元数相等？

interpolates between quaternions , using spherical quadrangle interpolation

使用球状四角插入方式，在四元数之间进行插入。

Study of the Application of Quaternions to Euler Equation

四元数在欧拉方程中的应用研究

Nonlinear Attitude Tracking Control of a Spacecraft with Thrusters Based on Error Quaternions

喷嘴为执行机构的空间飞行器基于误差四元数的非线性姿态跟踪控制

Quaternions Recurrence Formula with Norm Conservation in the Strapdown Guidance System

捷联式制导系统中四元数的保范递推计算