Function Composition and Inverse Function
Advanced algebra that underlies data encryption and modern computer algorithms.
Circle
Perfect shape that forms the basis of wheel mechanics and architectural design.
Statistics
The language of numbers for analyzing trends, making predictions, and uncovering hidden patterns.
Complex Number
Mathematical extension that enables modern electronics and signal processing.
Complex Number Concept
Complex Number Form
Addition of Complex Numbers
Properties of Addition of Complex Numbers
Scalar Multiplication of Complex Numbers
Multiplication of Complex Numbers
Properties of Multiplication of Complex Numbers
Inverse of Complex Numbers
Complex Number Conjugate
Modulus and Argument of Complex Numbers
Properties of Complex Number Modulus
Principal Argument of Complex Numbers
Properties of Principal Argument of Complex Numbers
Polynomial
Versatile equations that model various natural phenomena and industrial processes.
Matrix
Mathematical structure underlying computer graphics, AI, and network analysis.
Geometric Transformation
Movement and shape changes vital in animation and design.
Reflection Over Line
Reflection Over X Axis
Reflection Over Y Axis
Reflection Over Line y = x
Reflection Over Line y = -x
Reflection Over Line x = k
Reflection Over Line y = h
Reflection Over Point
Translation
Rotation
Dilation
Matrix and Transformation Connection
Reflection Matrix
Reflection Matrix Over Center Point
Reflection Matrix Over Arbitrary Point
Translation Matrix
Rotation Matrix
Dilation Matrix
Composite Transformation Matrix
Functions and Their Modeling
Mathematical tools for describing relationships and predicting real-world system behavior.