“Euler angles”的概念、定义、习题解题方法及翻译-数学辞典

单词

Euler angles

释义

Euler angles

Let R be an orthogonal 3×3 matrix with determinant 1; so R represents a general rotation of 3-dimensional space about an axis through the origin. Then there exist Euler angles α, β, γ in the ranges

such that R = X(α)Y(β)X(γ) where X(θ) denotes rotation about the x-axis by θ and Y(θ) denotes rotation about the y-axis by θ. Euler angles are useful in describing rotations of rigid bodies.

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数学辞典收录了4151条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。