Definition

1. Adjective:
   • Maximal: Relating to or being the greatest or highest possible in quantity, degree, or intensity. This is the primary mathematical and formal usage.

Usage Examples

• Adjective:
  • Giá trị tối đại của hàm số này là 10. (The maximal value of this function is 10.)
  • Chúng ta cần đạt hiệu suất tối đại. (We need to achieve maximal efficiency.)

Advanced Usage

• Used in mathematical contexts (e.g., set theory, order theory) to describe an element that is not less than any other element in a given subset.
  • Phần tử tối đại trong tập hợp này là duy nhất. (The maximal element in this set is unique.)

Variants and Related Words

• Tối đa (adj): Maximum, utmost. This is the more common and general term for "maximum."
  • Tốc độ tối đa cho phép là 120 km/h. (The maximum permitted speed is 120 km/h.)

Synonyms

• Maximum: The greatest or highest amount possible.
• Utmost: Of the greatest or highest degree.

Notes on Usage

• "Tối đại" vs. "Tối đa": While both relate to an upper limit, "tối đại" is a specialized, primarily mathematical term meaning . The far more common word in general language is "tối đa", which means . Using "tối đại" outside of technical contexts may sound unnatural.