How do I simulate a population curve?

Open this page and use the live Complex Functions tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.

Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.

Can I use my own numbers?

Absolutely — every input is adjustable, and with data import you can drive a population curve from your own measurements.

Use case · powered by Complex Functions

Complex Functions for a population curve

Simulate a population curve live in your browser. This runs the real Complex Functions solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

For:Students Researchers Educators Engineers Hobbyists & Makers K-12 Students First Responders

Complex Function VisualizerLive

domain coloring · f(z) on the complex plane

Controls

Domain coloring maps each complex output to a color: hue = phase (argument), brightness = magnitude. Zeros are dark, poles are bright.

▶ Run in Python

Data Inspector

Functionz^2

Huearg f(z)

Brightness|f(z)|

Reading this result: z² doubles every angle, so the hue wheel wraps twice around the single zero at the origin — a double root shows as two full color cycles.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

or unlock everything with Pro →

About this simulation

The full Complex Functions tool models a population curve with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with Complex Functions

Complex Functions for compound interest Complex Functions for a loan payoff Complex Functions for a logistic map Complex Functions for a Fibonacci sequence Complex Functions for a fractal tree Complex Functions for a Fourier series Complex Functions for a Taylor approximation Complex Functions for a Monte-Carlo pi estimate

Other ways to simulate a population curve

Visual Node Graph for a population curve Symbolic Math for a population curve Vector Fields for a population curve Notebook for a population curve Fractal Explorer for a population curve Fourier Series for a population curve

Frequently asked questions

How do I simulate a population curve?: Open this page and use the live Complex Functions tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?: Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?: Absolutely — every input is adjustable, and with data import you can drive a population curve from your own measurements.