Tools

Matrix Multiplication Calculator

Multiply two matrices and view the resulting matrix.

Math

Eigenvalue Finder

Calculate eigenvalues of a square matrix.

Math

Matrix Decomposition Lab

Visualize SVD, PCA, and eigendecomposition for 2D matrices and datasets.

Math

Polynomial Root Solver

Find the roots of polynomial equations.

Math

Mean & Standard Deviation

Understand the impact of mean and standard deviation on data spread.

Math

Correlation & Covariance

Explore 2D relationships with scatter plots, covariance, correlation, regression, and residuals.

Math

LaTeX Renderer

Type LaTeX and see it rendered instantly.

Math

Duplicate Words Finder

Detect and remove repeated words in your text.

Text

HTML Tag Remover

Clean up text by removing all HTML tags.

Text

Text Formatting Cleaner

Strip out unwanted text formatting like bold, italics, and hyperlinks.

Text

Markdown to HTML Converter

Convert markdown formatted text into HTML.

Text

Diff Tool

Compare two pieces of text and highlight differences.

Text

AI Text Cleaner

Clean and polish AI-generated text: remove formatting artifacts, normalize structure, and simplify output.

Text

Graph Algorithm Visualizer

Visualize graph algorithms like Dijkstra's and Prim's.

Algorithms

Sorting Algorithm Visualizer

Watch how various sorting algorithms organize data.

Algorithms

Searching Algorithm Visualizer

Explore searching algorithms, including binary and linear search.

Algorithms

Data Structures Visualizer

Compare arrays, lists, stacks, queues, hash tables, trees, heaps, graphs, tries, sets, maps, and deques.

Algorithms

Logic Gates Simulator

Simulate basic logic gates like AND, OR, and XOR.

Algorithms

Filter Visualizer

Explore waveform and filter concepts with this interactive tool.

Algorithms

CPU Cache Simulator

Simulate CPU cache behavior with configurable levels and policies.

Algorithms

Ant Colony Simulation

Watch ants forage for food using pheromone trails and emergent behavior.

Algorithms

Futuristic City Simulation

Explore an interactive 3D futuristic city with dynamic lighting and effects.

Algorithms

Geometrical Optics Bench

Ray tracing with ABCD matrices and exact Snell refraction: lenses, mirrors, stops, pupils, telescopes, microscopes and aberrations. Start here.

Optics

Electromagnetic Waves and Energy Flow

Plane-wave E and H fields, wave impedance and the Poynting vector. Prerequisite: vectors, complex numbers.

Optics

Fresnel Interface Coefficients

Reflection and refraction at an interface: complex r and t, Brewster angle, total internal reflection and evanescent waves. After: EM waves.

Optics

Polarization and Jones/Mueller Calculus

Polarization states, an ordered bench of polarizers and wave plates, Stokes parameters and the Poincaré sphere. After: Fresnel.

Optics

Interference and Beating

Superposition of two waves, coherence, polarization overlap, visibility and temporal beats. After: EM waves.

Optics

Standing Waves

Counter-propagating waves, reflection phase, standing-wave ratio and two-mirror resonator modes. After: interference, Fresnel.

Optics

Interferometers and Coherence

Michelson and Mach–Zehnder interferometers, finite source bandwidth, coherence length and fringe visibility. After: interference.

Optics

Thin Films and Multilayer Coatings

Anti-reflection coatings, Bragg mirrors and absorbing films with transfer matrices. After: Fresnel, interference.

Optics

Double-Slit Experiment

Fraunhofer two-slit interference with finite slit width, partial coherence and photon build-up. After: interference.

Optics

Single-Slit and Circular Diffraction

Far-field slit and Airy patterns on a calibrated detector, Fresnel number and enclosed power. After: double slit.

Optics

Near- and Far-Field Aperture Propagation

Numerical angular-spectrum and Fresnel propagation of arbitrary apertures: zone plates, Poisson spot and sampling limits. After: diffraction.

Optics

Diffraction Gratings and Spectroscopy

N-slit gratings, orders, resolving power and a spectrometer with slit and pixel limits. After: diffraction.

Optics

Fourier Optics, Imaging and Resolution

4f systems, spatial filtering, PSF, MTF, coherent vs incoherent imaging and Zernike aberrations. After: geometrical optics, aperture propagation.

Optics

Radiometry, Throughput and Detection

Power budgets, étendue, radiance conservation, photon counting, shot noise and SNR. After: geometrical optics.

Optics

Gaussian Beams

Waist, Rayleigh range, Gouy phase, complex q and ABCD beam transformation, focusing and mode matching. After: geometrical optics, diffraction.

Photonics

Fabry–Pérot and Passive Resonators

Free spectral range, finesse, photon lifetime, g1–g2 stability and transverse modes. After: standing waves, Gaussian beams.

Photonics

Laser Cavity and Rate Equations

Four-level rate equations, threshold, L–I curve and relaxation oscillations. After: Fabry–Pérot.

Photonics

Optical Materials, Dispersion and Pulses

Sellmeier and Lorentz models, group velocity, GVD and ultrashort-pulse broadening and chirp. After: EM waves.

Photonics

Waveguides and Optical Fibres

Slab TE/TM modes, step-index fibre LP modes, V-number, cutoff, modal dispersion and coupling. After: Fresnel, dispersion.

Photonics

Holography and Phase Retrieval

Record and reconstruct holograms: off-axis order separation, twin images, phase shifting and Gerchberg–Saxton. After: aperture propagation, Fourier optics.

Optics+

Nonlinear Optics

Second-harmonic generation, phase matching, quasi-phase matching and self-phase modulation with a split-step solver. After: dispersion.

Optics+

Quantum Optics and Photon Statistics

Single-photon interference with which-path information, photon-number statistics and g²(τ) bunching and antibunching. After: interferometers, radiometry.

Optics+

Electro- and Acousto-Optic Modulators

Pockels phase modulators, Mach–Zehnder modulators, acousto-optic Bragg cells and directional couplers. After: polarization, waveguides.

Optics+

Moment of Inertia Lab

Explore mass, shapes, integrals, and rotation axes. Compare how bodies accelerate under the same torque.

Learning

Technical Quizzes

Multiple-choice questions on Linux, Git, DevOps and Google Cloud, frontend, databases, parallel programming, statistics, and Python and C/C++ in Polish, with explanations.

Learning

Study Flashcards

Explain-it-yourself cards on DevOps and Google Cloud, frontend, databases and statistics, with progress saved as you study.

Learning

Phonics Adventure - Learn to Read

A narrated reading game for children aged 3 to 7 in English, German and Arabic, with three paths: letters (capitals first), word building, and sentences with short stories. Stars and stickers show progress.

Learning

Der Die Das Game

Drop 6,000 German nouns into der, die or das, and learn the rule behind each one.

Language

Learn Russian Cyrillic Alphabet

Familiarize yourself with the Cyrillic alphabet through challenges.

Language

Outclick the Oracle

A neural network learns your clicks. Stay unpredictable for 30 moves and share your challenge.

Game

Classic Snake Game

Play the classic snake game, growing your snake by collecting points.

Game

Block Puzzle Tetris

Enjoy a classic Tetris game by stacking blocks to clear lines.

Game

Flappy Bird

Navigate through obstacles in this popular arcade-style game.

Game