Equations That Have Changed The World

TL;DR

Equations are powerful tools that are true, compress information, have various applications, and lead to algorithms and technology.

Transcript

hello I'm Chris Berg and I'm the gresham professor of geometry and in this talk I'm going to tell you about equations that have changed the world now equations are very important in mathematics and in many other areas of life I put up here my favorite equation of all time e to the I pi equals -1 Y equations so important well firstly they are true t... Read More

Key Insights

• 💁 Equations are eternal truths and are highly condensed information.
• 🏑 Equations have countless applications in fields such as physics, engineering, and acoustics.
• 😷 The ability to solve equations quickly and accurately is essential in medical imaging, weather forecasting, and telecommunications.
• 👨‍🔬 The PageRank algorithm, based on the matrix eigenvalue equation, revolutionized internet search engines.
• 👋 The Fourier transform is vital in understanding wave behavior in acoustics and optics.
• ☀️ The Navier-Stokes equations are essential for weather prediction and climate modeling.
• 😀 The SI R equations are used to predict and understand the behavior of infectious diseases.

Questions & Answers

Q: Why are equations important?

Equations are important because they are true, compress information, and have numerous applications across various fields.

Q: How do equations lead to technology?

Equations lead to technology through the development of algorithms. By solving equations, we can gain insights that lead to technological advancements.

Q: What are some famous equations?

Some famous equations include Pythagoras' equation, Newton's equation of gravity, Schrodinger's equation, Einstein's equation E=mc², and Maxwell's equations.

Q: How do equations relate to solving problems on a computer?

Equations, such as the linear equation, the matrix eigenvalue equation, and the Fourier transform, are frequently solved on computers to solve problems in various fields, including medical imaging, weather forecasting, and telecommunications.

Summary & Key Takeaways

• Equations are eternally true, making them powerful tools that compress a vast amount of information into a single formula.

• Equations have countless applications in fields such as wave mechanics, geometry, physics, and engineering.

• Equations lead to algorithms which, in turn, lead to technological advancements.