The term 'algorithm' originated from the Latinized name of al-Khwārizmī, a 9th-century mathematician whose works introduced Arabic numerals and the decimal-based numeral system to Europe and whose treatise 'Al-Jabr' gave algebra its name.

English mathematician Ada Lovelace wrote the first computer algorithm a century before computers existed and hypothesized that computing devices would one day be able to compose music—foreseeing the generative AI systems of today.

English mathematician Ada Lovelace wrote the first computer algorithm a century before computers existed and hypothesized that computing devices would one day be able to compose music—foreseeing the generative AI systems of today.

The Ishango bone suggests mathematics was born about 20,000 years ago

Ancient civilizations developed mathematical systems for various purposes, including the Egyptians for the construction of the pyramids and the Ancient Greeks for logical reasoning in theorems. However, these systems were predated by the Ishango bone—found in the Democratic Republic of the Congo—whose notches suggest a base ten system, prime numbers, and simple mathematical operations.

The first algorithmic random number generator was developed in 1946

Although previous methods of randomness involved physical tools with limited outcomes, such as dice, or relied on chaotic variables for number generation, such as electronic noise, John Von Neumann's middle-square method turned the problem into a mathematical computation. It has since been replaced by methods that generate numbers from unique initial values, such as the time on a clock.

Mathematical breakthroughs influenced Shakespeare’s stories

New ideas in math were transforming Europe at the time Shakespeare penned his plays, including newly popular conceptions of zero via philosophers Descartes and Leibniz.

The term 'alcohol' has Arabic origins

Linguistic research reveals a lot about the ancient origins of alcohol. For example, studying various languages reveals that "mead," an alcoholic beverage made from honey, came even before wine.

Trade and conquest carried chess into Europe by the 11th century

After spreading through Persia, chess traveled along Islamic military and trade routes into North Africa and Moorish Spain by the 10th century. By the 11th century, it had taken root across much of Europe, flourishing in courts and monasteries.

An overview of 12 fundamental types of algorithms and the uses for each

These include search algorithms to quickly process and find important information, cryptographic algorithms to secure communications, randomized algorithms—such as Monte Carlo simulations for estimating probabilities of outcomes—and greedy algorithms, which make optimal choices based on available data in a step-by-step fashion, as seen in navigation apps.

The idea of a check—or promissory note—goes back to antiquity

As long as traders have looked to pay in cash or coin, the idea of an IOU has been close behind. Clay tablets from ancient Mesopotamia (roughly modern Iraq) and Persia (Iran) suggest proto-checks were used at the time. Islamic traders innovated "sakks" in the 9th century, leading to the broader adoption during the Middle Ages in Europe.

Look up the date of any Islamic holiday going back to 622 CE

The US Naval Observatory's calculator converts Hijri calendar dates to Gregorian and vice versa, covering Islamic holidays from the first year of the Islamic calendar through the present. The resource helps show how much Ramadan's dates shift year over year and allows readers to find out when Ramadan would have fallen in a certain year.

A 14-year-old "human calculator" shatters six mathematical world records in one day

A teenage prodigy from Maharashtra, India named Aaryan Shukla set the record for the fastest time to mentally add 50 five-digit numbers. He did so in just 25.19 seconds–roughly equivalent to one addition every 0.5 seconds. The math whiz said he practices calculations for around five to six hours a day.

Using AI to rewrite and revive Aztec tales

Despite being vanquished by the conquering Spaniards in the 16th century, the Aztecs' culture endured through their descendants and rituals, as well as texts that escaped destruction at the hands of the Europeans. These texts, known as codices and preserved in part by Christian monks, revealed intimate details of life as an Aztec in the Middle Ages. Today, AI programs allow students to learn the Aztec's language, Nahuatl, further preserving their heritage.

Meet Hipparchus, the Greek astronomer who created the world's first star map

Astronomer Hipparchus created accurate maps of the night sky way ahead of his time, with coordinates sometimes within a single degree of modern values. Hipparchus founded a new theory of star motion, modeling the sky as a celestial sphere with coordinates similar to latitude and longitude—concepts only recently created in Hipparchus' time.

How the months of the year got named

Curious about how the months got their names? This article from The Old Farmer's Almanac explores the origins of today’s Gregorian calendar. Based on the ancient Roman lunar calendar, the months were named after Roman gods until winter when the names changed to numerical titles. Read along to learn the significance and intentions behind labeling each lunar cycle.

Clever Hans was a 1900s horse that was believed to be able to solve math equations, tell time, and read and comprehend German, until a psychology student discovered how he got his answers.

Sudoku was originally called 'Number Place'

While there are earlier variations on the game, the modern version appeared in 1979, though it was then called "Number Place." The game was slightly altered and renamed in Japan.

The fast Fourier transform breaks down wave signals into discrete components

The algorithm was initially discovered by German mathematician Carl Friedrich Gauss in 1805, but his notes were not found until after his death. Today, FFTs form the basis for most compression software in media and are essential to technologies such as radar, sonar, and telecommunications.

The origin of shortest-path algorithms and how they became optimized for navigation apps

In 1956, Dutch programmer Edsger Dijkstra spent about 20 minutes developing an algorithm to demonstrate how computers could quickly determine the shortest route between Rotterdam and Groningen. Since then, modified versions of Dijkstra's formulation comprise the processing backbone of systems such as Google Maps and Apple Maps.

The science of cryptography, including methods to encrypt data and how to break encryption

Monoalphabetic ciphers use a set of rules to replace each letter with another consistently, making them susceptible to brute force attacks that try every kind of replacement. While more complex ciphers can transform text in less obvious ways, because certain letters are used more often than others, an analysis of letter frequency may reveal patterns that help uncover the rules that make up a cipher.

Mathematician David Hilbert developed general relativity equations before Einstein

Although working independently of one another, the two exchanged correspondence in the lead up to November 1915, when Hilbert submitted their gravitational field equations five days before Einstein presented their work. An error in Hilbert's formulation and its nonpublication until March 1916 would leave credit for general relativity to Einstein.

The word 'influenza' comes from a 15th-century Italian belief in the stars

In Renaissance Italy, epidemics were thought to result from the influence of natural disasters or celestial bodies. The illness was named "influenza", meaning “influence” in Italian.

A "no math" primer on quantum mechanics

Quantum mechanics may not immediately grasped, but it can be slowly understood through the experiments and discussions offered here by writer Dr. Miguel F. Morales. A professor of physics at the University of Washington in Seattle, Dr. Morales makes understanding the basics of quantum mechanics fun with a promised "no math" approach.

The Alhambra’s medieval water system powered a palace-city

Built over centuries by Islamic rulers in medieval Spain, the Alhambra used canals and pressurized tanks to move water throughout the complex. Its sophisticated system supplied fountains, baths, and gardens, showcasing advanced medieval engineering.

Cyrus McCormick invented the mechanical reaper—and a territory-based sales force

In the 1830s, farmers were skeptical of new technology, so McCormick demonstrated the machine—described as a cross between a plow, a chariot, and a flying object—to prospective buyers. Long before modern sales norms existed, he divided the market into territories operated by agents who provided service on the machines, financing to expand the customer base, and product iteration based on feedback from regional agents.

The first robot in literature may have been a 'mechanical man' in 1907's 'Ozma of Oz,' a book in L Frank Baum's 'Wizard of Oz' series.

How algorithmic redistricting works

Computational methods are convincing a number of judges that some state district maps are drawn illegally. Here's a simple overview of how it works.

When Marcus Aurelius created endowed philosophy chairs in Athens

The Roman Emperor Marcus Aurelius is known as one of the most famous Stoic writers or thinkers, penning his classic opus ‘Meditations.’ In 176 CE, he endowed four philosophy chairs in Athens: one for Stoicism, and one for three of Stoicism’s rival schools: Aristotelianism, Platonism, and Epicureanism.

Aisha's firsthand account (or hadith) of Muhammad receiving the Quran

The hadith—or record of Muhammad's words or actions—includes an account from Muhammad's third wife, Aisha, who retells the story of Muhammad first receiving the revelation from Jibril. It's one of the most cited primary sources in Islamic tradition, and comes first in the broader Sahih al-Bukhari collection, a compilation of hadiths.

Stanford built a Google Maps for the Roman Empire, revealing how much it cost to travel in the ancient world

Learn more about the history of fireworks, which dates back to an accidental invention during an alchemist's quest for information about immortality.

Elk Cloner, the first computer virus to spread in public, was written as a practical joke by Richard Skrenta, a Pittsburgh high school student.

Some coin denominations have ridges etched on their sides, partly to prevent counterfeiting, in a practice called 'reeding.'

The word 'jazz' evolved from 'jasm,' 19th-century American slang for 'energy'

During the French Revolution, a botanist's letter asking about "dear Rhus" (poison ivy) was intercepted, leading authorities to suspect he was conspiring with the Russians.

Radioactive elements can introduce software errors because the ionizing radiation they produce can detach electrons from atoms, and computer code relies on the distribution of electrons.

Volcanic activity may have triggered the Black Death by spewing gases that led to crop failures in Europe, thus forcing the import of grain ships with plague-infested fleas.

For centuries, it was common to sleep in two shifts: a few hours at the beginning of the night, and a longer period beginning around midnight

Take a 3D tour of the Hajj, Islam's annual pilgrimage to Mecca, undertaken by over 1.5 million Muslims.

Warren Buffett's former professor Benjamin Graham is known as the 'father of value investing,' a strategy in which investors seek to buy stocks trading below their intrinsic worth.

Art theft is the third-largest source of criminal revenues worldwide, thanks in part to the subjective nature of valuing a work of art.

Chaos theory—informally known as the butterfly effect—is the reason why weather forecasts are presented with probabilities rather than certainties.

Long before Major League Baseball began allowing instant replay for balls and strikes, an umpire reluctantly used the technology to determine whether a hit was a home run, a move that inadvertently ushered in a new era for the sport.

Salvador Dalí believed he was his own dead brother, who had died nine months before he was born

Trace how the Bill of Rights, inspired by centuries of political theory, took shape between 1774 and 1789.

One of the most famous portraits ever taken is 'Afghan Girl' (1984) by Steve McCurry, yet the subject Sharbat Gula went much of her life without being identified or benefitting from the image's success.

Explore a list of the 100 best novels of all time, compiled by some of the world's best living writers, including Salman Rushdie, Stephen King, and Jennifer Egan.

Alzheimer's can lead to brain shrinkage, with an average of around 2% of volume reduction per year

The hormonal disorder PCOS was renamed PMOS in 2026, a move designed to improve care and research by shifting the focus to the hormonal causes of this condition that affects 1 in 8 women.

Corals are themselves not coral reefs—the term refers to the tiny marine invertebrates that build the rigid reef.

Iran's Revolutionary Guard Corps is independent of Iran's regular army and is one of the most powerful and influential military-political organizations in the Middle East.