Category Archives: Math

Q: Why is the integral/antiderivative the area under a function?

Physicist: If you’ve taken calculus, then at some point you learned that to find the area under a function (generally written ) you need to find the anti-derivative of that function.  The most natural response to these types of theorems … Continue reading

Posted in -- By the Physicist, Equations, Math | 59 Comments

Q: How do I find the love of my life? (a Mathematician’s perspective)

Mathematician: The Physicist and I were once asked “how do I find the love of my life?”. Never ones to shy away from applying math to love (or anything else), the Physicist gave his take on this question (noting the … Continue reading

Posted in -- By the Mathematician, Biology, Equations, Philosophical, Probability | 24 Comments

Q: How do you talk about the size of infinity? How can one infinity be bigger than another?

Physicist: When you have two finite sets it’s easy to say which one has more things in it.  You count up the number of things in each, compare the numbers, and which ever is more… is more.  However, with an … Continue reading

Posted in -- By the Mathematician, -- By the Physicist, Logic, Math | 16 Comments

Q: What are the equations of electromagnetism? What all do they describe to us?

Physicist: Electromagnetism and all the involved math are surprisingly visual sciences.  Understanding Maxwell’s equations (the equations of electromagnetism) involves pictures aplenty. In these equations and are physical constants that dictate how strong the electric and magnetic forces are, but when … Continue reading

Posted in -- By the Physicist, Equations, Physics | 14 Comments

Q: What is the entropy of nothing?

Mathematician: In physics, entropy relates to the number of states that a system can be in. If a system actually contained absolutely nothing, then (quantum mechanical considerations aside), it would only have one state, and therefore would have 0 entropy … Continue reading

Posted in -- By the Mathematician, Entropy/Information, Philosophical | 9 Comments

Q: How can quantum computers break encryption?

Physicist: What follows is the famous Shor algorithm, which can break any RSA encryption key. The problem: RSA, the most common form of public key encryption, is based on the fact that large numbers are hard to factor.  Without going … Continue reading

Posted in -- By the Physicist, Computer Science, Equations, Math, Number Theory, Physics, Probability, Quantum Theory | 19 Comments