query: Are there expansions of the expression $(a+b)^{1/n}$?
positive_passages.docid: 150438
positive_passages.text: Binomial theorem for non integers ? O_o ??
negative_passages.docid: 115433
negative_passages.text: Find the summation of given expression: $\sum_{k=1}^n k^3\binom nk$
negative_passages.docid: 39659
negative_passages.text: Is there a closed formula for this summation?
negative_passages.docid: 137967
negative_passages.text: Are there $a,b \in \mathbb{N}$ that ${(\sum_{k=1}^n k)}^a = \sum_{k=1}^n k^b $ beside $2,3$
negative_passages.docid: 69439
negative_passages.text: Infinite Sum of algebraic expression
negative_passages.docid: 112368
negative_passages.text: Is there a rule for $\sqrt{a+b}$?
negative_passages.docid: 2776
negative_passages.text: What can be said about the integral part of $(a+\sqrt{b})^n $
negative_passages.docid: 140458
negative_passages.text: Infinite summation involving exponents
negative_passages.docid: 126018
negative_passages.text: Show that $ e^{A+B}=e^A e^B$
negative_passages.docid: 68725
negative_passages.text: Find expression for : $ S_n =\sum_{i=1}^{n} \frac{i}{i^4+i^2+1} $
negative_passages.docid: 74664
negative_passages.text: A question regarding power series expansion of an entire function
negative_passages.docid: 13833
negative_passages.text: What is the coefficient of the term $a^i b^j c^k$ in the expansion of $(a+b+c)^n$?
negative_passages.docid: 76532
negative_passages.text: Two different expansions of $\frac{z}{1-z}$
negative_passages.docid: 31856
negative_passages.text: Find $a^{2013} + b^{2013} + c^{2013}$
negative_passages.docid: 1478
negative_passages.text: An inequality for powers of reals: $a^{1/n}-b^{1/n}<(a-b)^{1/n}$
negative_passages.docid: 140098
negative_passages.text: Laurent series expansion
negative_passages.docid: 12100
negative_passages.text: $n \mid (a^{n}-b^{n}) \ \Longrightarrow$ $n \mid \frac{a^{n}-b^{n}}{a-b}$