Mathcenter Forum - Field ???

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Field ใช่ ทุ่งนา ทุ่งหญ้า
เชิญมา สืบค้น ความหมาย
ในคณิต น่ารู้ มากมาย
ผ่อนคลาย! โจทย์ยาก จากไกล

Field is a set on which addition, subtraction, multiplication, and division are defined
and behave as the corresponding operations on rational and real numbers do.

A field is thus a fundamental algebraic structure which is widely used in algebra,
number theory, and many other areas of mathematics.

The best known fields are the field of rational numbers, the field of real numbers and
the field of complex numbers.

Many other fields, such as fields of rational functions, algebraic function fields,
algebraic number fields, and p-adic fields are commonly used and studied in mathematics,
particularly in number theory and algebraic geometry.

Most cryptographic protocols rely on finite fields, i.e., fields with finitely many elements.