topology background

topology

/təˈpɒlədʒi/ /təˈpɑlədʒi/

Illustration topology - Image 1

noun

拓扑学，形势几何学

A branch of mathematics studying those properties of a geometric figure or solid that are not changed by stretching, bending and similar homeomorphisms.

Examples :

"Even though a coffee cup and a donut look different, in topology they can be considered the same because you could theoretically mold one into the other without cutting or gluing. "

即使咖啡杯和甜甜圈看起来不一样，但在拓扑学（形势几何学）中，它们可以被认为是相同的，因为理论上你可以不经过切割或粘合，把一个塑造成另一个。

math science technical

Illustration topology - Image 1

noun

拓扑，点集拓扑。

A collection τ of subsets of a set X such that the empty set and X are both members of τ, and τ is closed under finitary intersections and arbitrary unions.

Examples :

"To understand how students are grouped into study sessions, the teacher created a topology where each study group is a subset of the class, and any combination or overlap of these groups still represents a valid study arrangement. "

为了理解学生们是如何分组进行学习的，老师建立了一个拓扑结构，其中每个学习小组是班级的一个子集，并且这些小组的任何组合或重叠仍然代表一个有效的学习安排。

math theory space structure

Illustration topology - Image 1

noun

解剖结构，身体构造

The anatomical structure of part of the body.

Examples :

"The doctor studied the detailed topology of the patient's heart to understand the source of the irregular rhythm. "

医生仔细研究了病人心脏的详细解剖结构，以了解心律不齐的根源。

anatomy body medicine physiology structure organ science

Illustration topology - Image 1

noun

拓扑，拓扑结构，网络拓扑.

The arrangement of nodes in a communications network.

Examples :

"The school's network topology uses a star arrangement, with all computers connected to a central server. "

学校的网络拓扑结构采用星型布局，所有电脑都连接到中央服务器。

technology computing communication internet electronics structure

Illustration topology - Image 1

noun

拓扑结构，拓扑学

The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.

Examples :

"Even if the desks are rearranged in the classroom, the topology of the network – how the computers are logically connected – remains the same because the data still travels through the same central server. "

即使教室里的桌子被重新排列，网络的拓扑结构——即计算机之间的逻辑连接方式——仍然保持不变，因为数据仍然通过同一个中央服务器传输。

technology technical electronics computing machine structure system

Illustration topology - Image 1

noun

地形学，地貌学

(topography) The topographical study of geographic locations or given places in relation to their history.

Examples :

"The historian studied the topology of the old town square, examining how its layout influenced the decisions made during the revolution. "

历史学家研究了旧城镇广场的地形沿革，考察其布局如何影响了革命期间的决策。

geography history

Illustration topology - Image 1

noun

记忆术, 记忆法

The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.

Examples :

"To remember her grocery list, Sarah used a topology, picturing each item in a specific room of her house. "

为了记住购物清单，萨拉使用了一种记忆法，想象每件商品都放在她家里的特定房间里。

mind philosophy education