Category Archives: Equations

Q: Can resonance be used to destroy anything? Is the “brown note” possible?

Physicist: Nope! “Resonance” is a “driven harmonic oscillation“, where the driving force pushes and pulls at, or near, the “resonant frequency” of whatever it is that doing the resonating.  There are two big issues involved with destroying stuff using sound, … Continue reading

Posted in -- By the Physicist, Equations, Math, Physics | 34 Comments

Q: What is a Fourier transform? What is it used for?

Physicist: Almost every imaginable signal can be broken down into a combination of simple waves.  This fact is the central philosophy behind Fourier transforms (Fourier was very French, so his name is pronounced a little wonky: “4 E yay”). Fourier … Continue reading

Posted in -- By the Physicist, Equations, Math | 39 Comments

Q: Are beautiful, elegant or simple equations more likely to be true?

Mathematician: It is not uncommon to hear physicists or mathematicians talk about the beauty, simplicity or elegance of equations or theorems, and even claim that they are sometimes led to a correct formula (or away from an incorrect one) by … Continue reading

Posted in -- By the Mathematician, Equations, Math, Philosophical, Physics | 13 Comments

Q: Is there an intuitive proof for the chain rule?

Physicist: The chain rule is a tool from calculus that says that if you have one function “nested” inside of another, , then the derivative of the whole mess is given by .  There are a number of ways to … Continue reading

Posted in -- By the Physicist, Equations, Math | 12 Comments

Q: How do you find the height of a rocket using trigonometry?

The original question was: I am a Physics teacher wanting to measure the height of a rocket.  3 measurers are standing at the corners of an equilateral triangle standing on flat ground.  Each of them measures the angle from horizontal … Continue reading

Posted in -- By the Physicist, Equations, Experiments, Math | 2 Comments

Q: What is the Riemann Hypothesis? Why is it so important?

Physicist: To non-mathematicians this seems like a whole lot of fuss over nothing. There’s a function called the Riemann Zeta function, denoted ““, that’s defined for complex numbers (that is, you can plug in for example, and it’s totally fine).  … Continue reading

Posted in -- By the Physicist, Equations, Math, Number Theory | 12 Comments