query: Euler's identity and the number $e$
positive_passages.docid: 24929
positive_passages.text: Why did Euler use e to represent complex numbers?
negative_passages.docid: 17277
negative_passages.text: Why is Euler's Totient function always even?
negative_passages.docid: 72735
negative_passages.text: Understanding the proof of a formula for $p^e\Vert n!$
negative_passages.docid: 45725
negative_passages.text: Derivation of an identity with beta function.
negative_passages.docid: 66061
negative_passages.text: Why is the formula for calculating euler totient true?
negative_passages.docid: 55869
negative_passages.text: Use the Maclaurin series to prove that $e^{i\theta} = cos(\theta) + isin(\theta)$
negative_passages.docid: 15666
negative_passages.text: explanation for a combinatorial identity involving the binomial coefficient
negative_passages.docid: 66227
negative_passages.text: Why Euler's formula is true?
negative_passages.docid: 17809
negative_passages.text: How come such different methods result in the same number, $e$?
negative_passages.docid: 133236
negative_passages.text: Euler's Solution of Seven Bridges of Königsberg in Layman Terms
negative_passages.docid: 36388
negative_passages.text: How to derive this Combinatorial identity
negative_passages.docid: 142788
negative_passages.text: Can't use Euler's Theorem?
negative_passages.docid: 450
negative_passages.text: euler's theorem of homogeneuos function
negative_passages.docid: 53426
negative_passages.text: Proof of a formula involving Euler's totient function: $\varphi (mn) = \varphi (m) \varphi (n) \cdot \frac{d}{\varphi (d)}$
negative_passages.docid: 49044
negative_passages.text: Question about Eulers formula $v - e + f = 2$
negative_passages.docid: 98232
negative_passages.text: What is a good way to introduce Euler's totient function?
negative_passages.docid: 116970
negative_passages.text: On the number divisors of a number