Mathematics | Senioritis

John Rhodes
June 21, 2023
Abstract Algebra

Understanding Finite Fields of Order p and their Applications in Cryptography and Coding Theory.

Finite fields of order p can be defined using arithmetic mod p. 1 Yes, that is correct. A finite field of order p is a mathematical structure...

John Rhodes
June 21, 2023
Abstract Algebra

Understanding AES Encryption: The Role of Finite Fields in Secure Data Transmission

The Advanced Encryption Standard uses infinite fields. 0 This is not entirely correct. The Advanced Encryption Standard (AES) is a symmetric encryption algorithm that uses a finite...

John Rhodes
June 21, 2023
Abstract Algebra

Mastering Modular Arithmetic: A Guide to Addition, Subtraction, and Multiplication Rules

The rules for ordinary arithmetic involving addition, subtraction, and multiplication carry over into modular arithmetic. 1 Modular arithmetic is a branch of arithmetic that deals with the...

John Rhodes
June 21, 2023
Abstract Algebra

Understanding Cyclic Groups: Properties and Examples.

A cyclic group is always commutative and may be finite or infinite. Z4 is a cyclic group generated by 1, and it is also abelian or commutative....

John Rhodes
June 21, 2023
Abstract Algebra

Understanding Fields in Mathematics: Definition and Properties

A field is a set in which we can do addition, subtraction, multiplication and division without leaving the set. 1 True. A field is a set of...

John Rhodes
June 21, 2023
Geometry

Understanding the Concept of Collinearity: Applications and Methods for Testing Collinear Points in Mathematics

Collinear points A set of points that lie on the same line Collinear points are a set of three or more points that lie on the same...

John Rhodes
June 21, 2023
Geometry

Coplanar: Understanding the Concept and Its Importance in Math, Science, Engineering, and Architecture

Coplanar Points, lines, or segments that lie on the same plane Coplanar is a term used in geometry and refers to a set of points or objects...

John Rhodes
June 21, 2023
Geometry

Understanding Opposite Rays in Geometry: Characteristics and Applications

Opposite rays Two rays that share an endpoint and extend in opposite directions to form a line Opposite rays are two rays that share the same endpoint....