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Trang chủTừ điểnMmodular arithmetic

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modular arithmetic

modular arithmetic
Danh từ

This term describes a mathematical system where numbers reset after reaching a specific limit, creating a cyclic pattern. It is most commonly associated with the concept of a clock, where 13:00 is treated as 1:00 because the system wraps around every 12 hours.

In technical contexts, this is often referred to as clock arithmetic. It serves as a foundational element in number theory and is critical for modern cryptography, particularly in algorithms like RSA, where calculations are performed modulo a large prime number.

Ý nghĩa

Danh từmodular arithmetic

A system of arithmetic for integers where numbers wrap around upon reaching a certain value, known as the modulus.

In modular arithmetic, 13 mod 12 equals 1, which is how a standard clock functions.

Ví dụ

The professor explained the basics of modular arithmetic using a clock as an example.

School Life

Modern encryption relies heavily on the properties of modular arithmetic.

Business

I wonder if I can solve this puzzle using modular arithmetic.

Modular arithmetic is essential for understanding how hash functions work.

Do you understand how modular arithmetic handles negative numbers?

School Life

The security of RSA depends on the difficulty of certain problems in modular arithmetic.

The security of RSA depends on the difficulty of certain problems in modular arithmetic.

He spent the entire afternoon studying modular arithmetic for the competition.

School Life

The algorithm uses modular arithmetic to keep the values within a specific range.

It is basically just clock arithmetic, but we call it modular arithmetic in formal math.

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Cập nhật lần cuối: May 2026Báo lỗi