Basic Operations
+ - Γ Γ· β Basic arithmetic
^ β Power (e.g., 2^8 = 256)
% or mod β Modulo/remainder
( ) β Parentheses for grouping
Functions
sin, cos, tan β Trigonometry (radians)
asin, acos, atan β Inverse trig
sinh, cosh, tanh β Hyperbolic
log β Base 10 logarithm
ln β Natural logarithm
sqrt, cbrt β Square/cube root
abs β Absolute value
fact or n! β Factorial
Constants
Ο or pi β 3.14159...
e β Euler's number 2.71828...
Ο or phi β Golden ratio 1.618...
c β Speed of light (m/s)
g β Gravity (9.80665 m/sΒ²)
Plotting Functions
- Enter any function of
x in the input field
- Examples:
sin(x), x^2, 1/x, e^(-x^2)
- Click Plot to draw the graph
- Click + Add to plot multiple functions
Navigation
- Pan: Click and drag on the canvas
- Zoom: Mouse wheel or +/- buttons
- Reset: Click β² to reset view
- Coordinates: Bottom-left shows cursor position
Export
- Click Export to save graph as PNG image
3D Surface Plots
- Enter a function of
x and y
- Examples:
sin(sqrt(x*x+y*y)), x*y, cos(x)*sin(y)
- Click Render to generate the surface
Controls
- Rotate X: Tilt the view up/down
- Rotate Z: Spin the view left/right
- Surface is colored by height (z-value)
Fractal Types
- Mandelbrot Set: The classic fractal
- Julia Set: Related to Mandelbrot, different formula
- Burning Ship: Absolute value variant
- Tricorn: Complex conjugate variant
Navigation
- Zoom In: Click on the fractal
- Zoom Out: Right-click
- Reset: Click Reset View button
Settings
- Iterations: Higher = more detail but slower
- Color Scheme: Click swatches to change palette
Matrix Input
- Enter values directly into the 3Γ3 grids
- Matrix A and Matrix B for operations
Operations
A + B, A - B β Addition/subtraction
A Γ B β Matrix multiplication
det(A) β Determinant
Aβ»ΒΉ β Inverse matrix
Aα΅ β Transpose
tr(A) β Trace (sum of diagonal)
Data Input
- Enter numbers separated by commas or newlines
- Example:
1, 2, 3, 4, 5 or one per line
Computed Statistics
- Mean: Average of all values
- Median: Middle value when sorted
- Mode: Most frequent value
- Std Dev: Standard deviation
- Variance: Square of std deviation
- Range: Max minus min
Simulations
- Projectile: Ball with gravity, shows trajectory
- Pendulum: Swinging pendulum with damping
- Orbits: 3-body gravitational simulation
- Waves: Multiple sine waves and their superposition
Interaction
- Simulations run automatically when selected
- Switch to Physics mode and click a simulation button
Calculator Shortcuts
0-9 β Number input
+ - * / β Operations
^ β Power
( ) β Parentheses
Enter β Calculate result
Backspace β Delete last character
Escape β Clear all
Tips
- Implicit multiplication works:
2x = 2*x
- Use
ans to reference previous result
- Click history items to load them
- All calculations run offline β no server needed!