siêu hạn

Friendly

The Vietnamese word "siêu hạn" can be translated to "transfinite" in English, and it is primarily used in mathematics. This term refers to numbers or concepts that go beyond finite limits, meaning they are larger than any finite number but not necessarily a specific number itself.

Basic Explanation:

• Meaning: "Siêu hạn" describes a size or quantity that is larger than any finite number. It is often used in discussions of infinity and mathematical theories.

Usage Instructions:

• You would typically use "siêu hạn" in mathematical contexts, especially when talking about concepts in set theory or higher-level mathematics.

Example:

• In set theory, we might say: "Tập hợp số tự nhiên là hữu hạn, nhưng tập hợp số thực là siêu hạn." (The set of natural numbers is finite, but the set of real numbers is transfinite.)

Advanced Usage:

• In more advanced mathematics, "siêu hạn" can be applied to concepts like cardinality, where different types of infinity are compared, such as countable versus uncountable infinities.

Word Variants:

• There are no direct variants of "siêu hạn" in terms of conjugation or declension, as it is a technical term. However, it often appears in discussions alongside terms like "hữu hạn" (finite) and "vô hạn" (infinite).

Different Meanings:

• While "siêu hạn" is primarily a mathematical term, it may also appear in discussions about theoretical concepts in physics or computer science, where limitations or boundaries are being discussed.

Synonyms:

• In a mathematical context, a synonym for "siêu hạn" could be "vô hạn" (infinite), but keep in mind that "vô hạn" generally refers to infinity without the specific context of being larger than any finite number.

Conclusion:

Understanding the term "siêu hạn" is essential for delving into higher mathematics, particularly in areas that deal with infinity and the size of sets.

Academic

1. (toán học) Transfinite