đa tạp
Definition
Noun (Mathematics):
- Manifold: A topological space that locally resembles Euclidean space near each point. In simpler terms, it is a shape or space that, when you zoom in closely enough at any location, looks flat (like a line, plane, or 3D space).
Adjective (General/Literary):
- Diverse / Multifarious / Heterogeneous: Consisting of many different elements, parts, or types; having great variety. This usage is more formal or literary.
Usage Examples
Noun (Mathematics):
- Các nhà vật lý sử dụng khái niệm đa tạp để mô tả không-thời gian. (Physicists use the concept of a manifold to describe spacetime.)
- Đa tạp ba chiều là một đối tượng nghiên cứu quan trọng trong hình học. (A three-dimensional manifold is an important object of study in geometry.)
Adjective (General):
- Văn hóa của đất nước đó vô cùng đa tạp. (That country's culture is extremely diverse.)
- Chúng tôi nghiên cứu một hệ sinh thái đa tạp. (We studied a multifarious ecosystem.)
Advanced Usage
- In advanced mathematics, "đa tạp" can be specified further:
- "đa tạp trơn": smooth manifold.
- "đa tạp vi phân": differentiable manifold.
- "đa tạp phức": complex manifold.
Variants and Related Words
Tính đa dạng (n): diversity, variety.
- Tính đa dạng sinh học (biodiversity).
Phức tạp (adj): complex, complicated (different meaning, but sometimes confused due to the shared element "tạp").
Synonyms
- For the noun (Mathematics): manifold, topological manifold.
- For the adjective: diverse, varied, multifarious, heterogeneous, miscellaneous.
Notes on Usage
- In modern Vietnamese, "đa tạp" is a specialized term primarily used in academic, scientific, and formal literary contexts. In everyday conversation to mean "diverse," words like "đa dạng" or "nhiều loại" are far more common and natural.
- The mathematical meaning is the most precise and common technical usage of the word.