A detailed explanation of the basic mechanism of OLED (Organic Light Emitting Diode) displays, the differences from LCDs, why they can represent true black, and the causes of and countermeasures against burn-in.
A visual explanation of arrangement patterns, masking, and error correction.
The smartphone screens we touch every day. Why can a display that looks like ordinary glass accurately read the position of your finger? We explain the engineering mechanisms behind this familiar technology, such as capacitive touch and the principle of multi-touch.
The history and mathematical principles of cryptography, the foundation of information security. Delving deeply into the trajectory from ancient cryptography to the deciphering of Enigma, and up to modern public-key cryptography (RSA).
The history and mathematical formulas of how humanity has calculated pi.
From Euler's discovery to network theory and car navigation routing algorithms.
From Gauss's conjecture to the Riemann hypothesis, discussing the density of prime numbers.
A modern topic leading to medical imaging, astronomy, and image compression.
A detailed explanation of the quantum search algorithm, its mathematical background, implementation using Qiskit, and its impact on cryptography.
Graph theory, eigenvalues, and applications to PageRank. Uncovering the structure and dynamics of networks algebraically.
The fascination of a theory applied from physics to finance and AI.
Mathematical proofs using randomness, and its connection to Ramsey Theory
A comprehensive guide to the Fast Fourier Transform (FFT) from its mathematical derivation and Python implementation to its applications in image and audio compression (JPEG and MP3).
An in-depth explanation of the mathematical principles and information theory behind error-correcting codes, such as Hamming codes and Reed-Solomon codes, that protect digital data.
Expandable to topology, DNA, and quantum computing.
Delving deep into the Kakeya conjecture, starting from Soichi Kakeya's intuitive problem statement, to the discovery of Besicovitch sets, and the high-dimensional Kakeya conjecture in modern mathematics (harmonic analysis and partial differential equations).
Explaining everything from convenience stores and hospitals to server loads with a single mathematical theory.
Exploring the mathematical background of aperiodic tiling, from Penrose tiles and Shechtman's quasicrystals to the 2023 discovery of the 'Einstein (Hat)' tile.
Exploring 50 years of technical innovation and history in home video game consoles, from their birth to the present day.
Looking back at the evolutionary history of map projections, we explore deeply how humanity has perceived and represented the Earth's space, from the Mercator projection to the latest Equal Earth projection.
