Summer of Math Exposition #4 | Teachers, I'd love to hear from you
The Summer of Math Exposition is a contest encouraging online math explainers, with a focus on creating resources helpful for students.
Where my explanation of Grover’s algorithm failed
The video clarifies Grover's algorithm in quantum computing, addressing common misconceptions and emphasizing its practical limitations.
But what is quantum computing? (Grover's Algorithm)
The video explains the misconceptions about quantum computing and provides a detailed explanation of Grover's algorithm, highlighting its practical applications and the geometric nature of quantum computing.
Testing your intuition for quantum computing
The video discusses a quiz about finding a special input value using a function, comparing classical and quantum computing approaches.
How to measure nearby galaxies
The video discusses how astronomers measure cosmic distances using Cepheid variable stars.
Measuring the distance to Venus without radar
The video explains how the distance to Venus was first measured using parallax and the transit of Venus.
Measuring the speed of light using Jupiter's moons
Observing Jupiter's moons led to the discovery of the speed of light.
Zooming out by powers of 10
The video discusses the challenges and achievements in mapping cosmic distances and the scale of the universe.
When being beautifully wrong leads to discovery
Kepler's initial geometric theory led to the discovery of planetary motion laws.
Why the ancient Greeks rejected heliocentrism
Aristarchus proposed a heliocentric model before Copernicus, but it was dismissed due to lack of observable stellar parallax.
How to estimate the distance to the sun
The video explains how ancient Greeks estimated the distance to the Sun using the phases of the Moon, particularly focusing on the Half Moon phase.
How to measure the universe | The Cosmic Distance Ladder Part 2
The video explores the history and methods of measuring cosmic distances, emphasizing the ingenuity behind these techniques.
How Earth's size was computed by Eratosthenes
The video explains how Eratosthenes measured the Earth's circumference using the angle of the sun's rays.
Terence Tao on how we measure the cosmos | Part 1
The video explores how humanity first measured cosmic distances, focusing on the clever mathematical reasoning behind these measurements.
Measuring the earth with Terence Tao
An Arab mathematician in the 10th century accurately measured the Earth's radius using trigonometry.
The topology of two-note chords
The video explains how two-note chords can be represented on a Möbius strip by considering unordered pairs of points on a circle.
The space of all musical intervals
The video explains how a Möbius strip mathematically represents unordered pairs of points on a loop, akin to musical intervals.
The barber pole optical mystery
The video explores the optical phenomenon of colored stripes in a dense sugar water mixture when polarized light is shone through it, explaining the twisting of light polarization and its dependence on light frequency.
Thinking through double slits
The double-slit experiment demonstrates wave interference patterns using coherent light sources.
This open problem taught me what topology is
The video explores the inscribed square problem, a mathematical puzzle about whether every closed continuous loop has an inscribed square, using topology and geometry concepts.