pegasusroe
249 Works
Works
Sine, Cosine, and the Unit Circle
Geometric Demonstration of Basic Trigonometric Functions
Geometric Construction and Graph of the Sine Function y=sin(x)
Custom Tool: CurveFit and Bezier Curves
Modulus of the Complex Sine Function |sin(z)|
Graph and Properties of the Complex Function |cos(z)|
Geometric Demonstration of the Complex Exponential Function exp(z)
Golden Rectangle and Complex Series
Complex Series
Complex Numbers: Square Inside a Square
Geometric Mapping of the Complex Exponential Function exp(z)
Complex Functions and Geometric Transformations
Exploring the Product of Cosines: cos(π/n)cos(2π/n)...cos(nπ/n)
Geometric Construction of the Equation 1+z² = (2cosθ)z
Complex Function Mapping and Locus Demonstration
Geometric Construction of a 17-gon
Complex nth Roots of Unity
Fibonacci Spiral (Spreadsheet Construction)
Exploring nth Roots of Unity via Inversion
Complex Geometric Series (4.4)
Complex Geometric Series
Geometric Meaning of Complex Multiplication
Geometric Visualization of the Chinese Remainder Theorem
Modulus Operation and Polygon Geometric Transformation
Reflection Matrix and Line Reflection Transformation (CAS)
Geometric Construction and Locus of Segments PA + PB
Inequality of the Sum of Squared Cosines of Triangle Angles
Orthic Triangle and Minimum Perimeter Inscribed Triangle
Erdos-Mordell Inequality
Finding the Maximum Value of ad - bc
Finding Minimum Value Using Cauchy-Schwarz Inequality
Rectangle Inscribed in an Isosceles Triangle
Scanning Inequality Regions
Visualizing Inequality Regions via Point Array Scanning
Graphing Inequalities
Spatial Rotation Matrix
Statistical Illustration: Data Points x1, x2, ..., xn
Binomial Distribution and Sampling Simulation
Effect of Linear Transformation on Correlation Coefficient
Sample Size and Sampling Error
Simulating the Sum Distribution of Random Variables
Binomial Distribution and Sampling
Central Limit Theorem Visualization
Confidence Level and Confidence Interval
Polar Equation of a Rectangle
Two Ways to Define the clamp() Function
The Pausing Pointer
3D Visualization of Separable Binary Functions f(x,y)=g(x)h(y)
A Step Function That Jumps Once and Drops
Step Functions: Ceil, Floor, and Round
Maximum of the Minimum of Three Functions
Construction and Demonstration of a Sawtooth Function
A Piecewise Linear Function with Absolute Values
Geometric Construction of Acute Trigonometric Functions
Graphical and Numerical Exploration of tan(x) = x
Geometric Construction and Demonstration of the Law of Cosines
Fourier Series Expansion Demo
Fourier Series
Visualizing the Volume of an Obliquely Cut Cylinder
Geometric Construction of a Circular Washer