The adjoint transformation is a generalized one of the symmetry transformation in Euclid space.
伴随变换是对欧氏空间上对称变换的进一步推广。

The Euclidean reason and aesthetic intuition stand in two poles of human intelligence.
欧几里得理性与审美直觉位于人类智力的两个极端。

extended euclidean algorithm
扩展欧几里得算法

Euclidean algorithm
欧几里得辗转相除法

Euclid was not always right.
欧几里德不一定全对。

Euclid approach degree.
欧氏贴近度

LiuWei shape. mental Euclid, Archimedes comparable.
刘微应和欧几里德, 阿基米德相提并论。

Archimedes and Euclid writings are still relevant today.
阿基米德和欧几里得得著作今天仍有意义。

The Ascending Ordered Weighted Euclid Averaging Operator and Its Application to Decision Making
上升有序加权欧氏平均算子及其在决策中的应用

Where Euclid unconsciously assumed the infinitude of straight lines.
欧几里得不自觉地假定了直线的无限性。

Euclidean axiom.
欧几里得公理

The Elements of Euclid and the Classical Axiom Method of Geometry
欧几里得的几何原本及几何学古典公理法

Euclids axiom that things equal to the same thing are equal to each other.
欧几里得关于等同于同一事物之物互相之间相等的公理说

Geometry based on axioms different from Euclid's.
基于不同于欧几里得公理的几何学。

Internal Implication and Expansion of Euclidean Space and Symplectic Space for Bogus Symplectic Space
欧氏空间与辛空间关于伪辛空间的内蕴和扩张

symplectic space and Euclidean space are the internal spaces of bogus symplectic space.
而辛空间与欧氏空间是伪辛空间的内蕴空间的结论。

Euclidean quantum gravity does not build in a notion of causality.
欧氏量子重力并没有预先置入因果律。

Euclidean cell complex
欧几里得胞腔复形

Hexagon Chess Under NonEuclidean Space.
非欧几何中的六角棋盘！

Triangle Chess Under NonEuclidean Space.
非欧几何中的三角棋盘！

A united method for greatest common factor and least common multiple in euclidean ring
欧氏环中最大公因子与最小公倍子的统一求法

On Imbedding of Semimartingale Stochastic Differential Equations on Compact Smooth Manifolds into Euclidean Spaces
关于紧光滑流形上半鞅随机微分方程在欧氏空间的嵌入

complex Euclidean space
复欧几里得空间

Euclidean simplicial complex
欧几里得单纯复形

The concept of the cross product of vectors in Euclid space is introduced.
在欧式空间中引进了向量叉积的概念。