orthogonal background

orthogonal

/ɔːˈθɒɡənəl/ /ɔɹˈθɑɡənəl/

Illustration orthogonal - Image 1

noun

正交线，垂线

An orthogonal line

Examples :

"The orthogonal to the wall supported the bookshelf. "

与墙面正交的支撑物支撑着书架。(Yǔ qiángmiàn zhèngjiāo de zhīchēngwù zhīchēngzhe shūjià.)

Illustration orthogonal - Image 1

adjective

正交，垂直。

Of two objects, at right angles; perpendicular to each other.

Examples :

"A chord and the radius that bisects it are orthogonal."

一条弦和垂直平分它的半径是正交的。

math physics technical structure

Illustration orthogonal - Image 1

adjective

正交的，垂直的。

Of a pair of vectors: having a zero inner product; perpendicular.

Examples :

"The normal vector and tangent vector at a given point are orthogonal."

在某一点，法向量和切向量是正交的，也就是说它们是垂直的。

math technical physics

Illustration orthogonal - Image 1

adjective

正交的，直角的。

Of a square matrix: such that its transpose is equal to its inverse.

Examples :

""Because the rotation matrix used to adjust the building's orientation on the architect's model is orthogonal, we know its inverse is easy to calculate, simplifying the 3D modeling process." "

由于用于调整建筑师模型上建筑物方向的旋转矩阵是正交的，所以我们知道它的逆矩阵很容易计算，从而简化了3D建模过程。

Illustration orthogonal - Image 1

adjective

正交，垂直。

Of a linear transformation: preserving its angles.

Examples :

"The architect used an orthogonal projection in the blueprint to ensure that the angles of the building's corners were accurately represented, even though the drawing was in two dimensions. "

建筑师在蓝图中使用了正交投影，以确保建筑物各个角的角度都能被精确地表示出来，即使图纸是二维的。

math technical science physics

Illustration orthogonal - Image 1

adjective

正交的，直角的

Of grid graphs, board games and polyominoes: vertical or horizontal but not diagonal.

Examples :

"In this simple maze, you can only move orthogonally, meaning you can go straight up, down, left, or right, but not diagonally. "

在这个简单的迷宫里，你只能正交移动，也就是说，你只能直着向上、下、左、右走，不能斜着走。

math game technical

Illustration orthogonal - Image 1

adjective

正交的，垂直的

Of a pair of elements in an ortholattice: each less than or equal to the orthocomplement of the other.

Examples :

"The student's study habits and social life were orthogonal; each activity did not impede the other. "

这个学生的学习习惯和社交生活是互不干扰的，他的学习并没有妨碍他的社交，反之亦然。(Zhège xuéshēng de xuéxí xíguàn hé shèjiāo shēnghuó shì hù bù gānrǎo de, tā de xuéxí bìng méiyǒu fáng'ài tā de shèjiāo, fǎn zhī yìrán.)

math logic science system technical

Illustration orthogonal - Image 1

adjective

统计独立的，正交的，互不相关的。

Statistically independent, with reference to variates.

Examples :

""In the study, height and reading ability were shown to be orthogonal; knowing someone's height gave no information about their reading skills." "

在这项研究中，身高和阅读能力被证明是统计独立的；知道一个人的身高并不能提供关于他阅读能力的任何信息，两者互不相关。

statistics math science

Illustration orthogonal - Image 1

adjective

正交的，互不相关的。

Of two or more aspects of a problem, able to be treated separately.

Examples :

"The content of the message should be orthogonal to the means of its delivery."

消息的内容应该和传递的方式互不相关，可以分别考虑。

aspect math technical science

Illustration orthogonal - Image 1

adjective

正交的，互不相关的

Of two or more problems or subjects, independent of or irrelevant to each other.

Examples :

""My preference for chocolate ice cream is orthogonal to my sister's ability to solve math problems; one has no effect on the other." "

我喜欢巧克力冰淇淋这件事，和我妹妹解决数学问题的能力是正交的，互不相关的；一件事情对另一件事情没有任何影响。

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