affined

affine的音标为[əˈfaɪn]：adj. 齐次的；仿射的。

基本翻译为“仿射的”或“齐次的”。

速记技巧可以是通过联想法，将“仿射的”与“齐次的”这两个概念通过视觉或听觉的方式联系起来，以便更好地记忆。

以上信息仅供参考，可以查阅相关的专业书籍或者咨询相关人士，获取更全面更准确的信息。

Affine的英文词源是拉丁语，意为“相似的”。它的变化形式包括名词affine space（仿射空间）和动词affine transformation（仿射变换）。

相关单词：

Affinity（亲和力）：这个词源于拉丁语，指物体之间的相似性或关联性。

Affinity graph（亲和图）：一种用于表示物体之间关系的图形工具，也称为仿射图。

Affinity principle（亲和力原则）：指物体之间的相似性原则，在科学研究和工程设计中被广泛应用。

Affine equivalence（仿射等价）：在几何学中，仿射等价是指两个物体在仿射变换下保持不变。

Affine invariant（仿射不变性）：在仿射变换下保持不变的性质或特征。

Affine curve（仿射曲线）：一种在仿射空间中定义的曲线。

Affine plane（仿射平面）：一种特殊的几何平面，可以进行仿射变换。

Affine dimension（仿射维数）：描述物体在仿射空间中的维度的方法。

Affine space（仿射空间）：一种特殊的几何空间，可以进行仿射变换。

以上这些单词都与Affine这个英文词源有关，体现了它在数学、物理、工程等领域中的广泛应用。

Affine短语：

1. Affine transformation - 仿射变换

2. Affine invariant - 仿射不变性

3. Affine group - 仿射群

4. Affine space - 仿射空间

5. Affine dimension - 仿射维数

6. Affine curve - 仿射曲线

7. Affine plane - 仿射平面

双语例句：

1. The image of a point under an affine transformation remains unchanged. (仿射变换下的一点像保持不变。)

2. Affine invariants are properties that remain the same under affine transformations. (仿射不变性是在仿射变换下保持不变的性质。)

3. The affine dimension of a set determines how many dimensions it has in an affine sense. (集合的仿射维数决定了它在仿射意义下的维度。)

4. An affine curve is a curve that can be described by an affine equation. (仿射曲线是可以由仿射方程描述的曲线。)

5. The affine plane is a mathematical tool used to study linear algebra and geometry. (仿射平面是用于研究线性代数和几何学的数学工具。)

6. Affine transformations are a fundamental part of geometric transformations. (仿射变换是几何变换的基本组成部分。)

7. Affine planes are used in cryptography to create secure systems. (在密码学中，仿射平面用于创建安全系统。)

英文小作文：

Affinity is the quality of being similar or related in nature or character. It is a fundamental aspect of life, whether it be the similarity between siblings, the connection between friends, or the harmony between people and their environment. Affinity is what drives us to connect with others, to share experiences, and to create meaningful relationships.

In mathematics, affine geometry is a branch of geometry that studies shapes and spaces that are unchanged by translations, rotations, and reflections, but are changed by scaling and shear transformations. Affine transformations are fundamental to understanding how shapes and spaces behave, and they are essential tools for analyzing mathematical problems and developing new ones.

Affinity is also important in other contexts, such as in art, where it is what drives us to create works that are meaningful and evocative, whether it be through color, composition, or subject matter. Similarly, in business, affinity is what drives us to connect with customers and create products and services that they value and need.

In conclusion, affinity is a fundamental aspect of life and of human interaction, whether it be through mathematics, art, or business. It is what drives us to connect with others, to create meaningful relationships, and to pursue what we believe in with passion and purpose.