query: Why are $\pi$ and $e$ used in so many physical formulae?
positive_passages.docid: 75731
positive_passages.text: Significance of $\pi$ in physics
negative_passages.docid: 24929
negative_passages.text: Why did Euler use e to represent complex numbers?
negative_passages.docid: 105398
negative_passages.text: Physical intuition for higher order derivatives
negative_passages.docid: 105679
negative_passages.text: Can $\pi$ or $e$ be a root of a polynomial with algebraic coefficients?
negative_passages.docid: 124988
negative_passages.text: $E=kT$ or $\frac32kT$?
negative_passages.docid: 83262
negative_passages.text: Why is there a factor of $4\pi$ in certain force equations?
negative_passages.docid: 100870
negative_passages.text: In De Broglie's Explanation for Bohr's Quantization Condition, why do we not use 2πr = n λ/2, why do we use 2πr = n λ?
negative_passages.docid: 29740
negative_passages.text: What is the physical significance of the imaginary part when plane waves are represented as $e^{i(kx-\omega t)}$?
negative_passages.docid: 21769
negative_passages.text: Motivation for complex numbers
negative_passages.docid: 155740
negative_passages.text: Newton's Law of Graviation: Why $G$ and not e.g. $\dfrac{1}{4\pi G_0}$?
negative_passages.docid: 5679
negative_passages.text: Why is $2\pi i \neq 0?$
negative_passages.docid: 127247
negative_passages.text: Why are cosine and sine functions used when representing a signal or a wave?
negative_passages.docid: 75394
negative_passages.text: Why is the $dx$ right next to the integral sign in QFT literature?
negative_passages.docid: 41191
negative_passages.text: How to prove this $\pi$ formula?
negative_passages.docid: 79160
negative_passages.text: Why do most formulas in physics have integer and rational exponents?
negative_passages.docid: 12433
negative_passages.text: How do $\pi^0$ particles exist?
negative_passages.docid: 46144
negative_passages.text: Understanding imaginary exponents