query: Find all the algebraic operations
positive_passages.docid: 26569
positive_passages.text: Counting binary operations on a set with $n$ elements
negative_passages.docid: 58720
negative_passages.text: How to promote algebraic expressions to operators in quantum mechanics?
negative_passages.docid: 107089
negative_passages.text: finding rational roots of polynomials
negative_passages.docid: 21972
negative_passages.text: How to show that $\sqrt{2}+\sqrt{3}$ is algebraic?
negative_passages.docid: 92966
negative_passages.text: All integer values of $\frac{a^2+b^2+1}{ab-1}$
negative_passages.docid: 60212
negative_passages.text: algebraic element over a field
negative_passages.docid: 21155
negative_passages.text: Finding basis of $\mathbb{Q}(\sqrt{2},\sqrt{3},\sqrt{5})$ over $\mathbb{Q}$
negative_passages.docid: 19019
negative_passages.text: Find all functions $f:\Bbb{Q}\rightarrow \Bbb{Q}$ such that $f(x)+f(t)=f(y)+f(z)$ for all rational numbers $x<y<z<t$ that form an AP
negative_passages.docid: 137209
negative_passages.text: Finding the Matrix of a Linear Operator Satisfying a Polynomial
negative_passages.docid: 83363
negative_passages.text: Finding the real root of a cubic algebraically
negative_passages.docid: 47737
negative_passages.text: Find all the possible values of $(a,b,c,d)$.
negative_passages.docid: 111493
negative_passages.text: Division algorithm for polynomials in R[x], where R is a commutative ring with unity.
negative_passages.docid: 24416
negative_passages.text: What is the cleverest way to calculate $[\hat{a}^{M},\hat{a}^{\dagger N}]$ when $[\hat{a},\hat{a}^{\dagger}]=1$?
negative_passages.docid: 144473
negative_passages.text: Finding all functions $ f : \mathbb N^*\to\mathbb N^*$ such that for every $ x , y \in \mathbb N ^ * $, $ f ( x ) + f ( y ) \mid x ^ n + y ^ n $
negative_passages.docid: 26262
negative_passages.text: Is there an easy way to see associativity or non-associativity from an operation's table?
negative_passages.docid: 138672
negative_passages.text: Finding Ideals in $\begin{bmatrix} \mathbb{Q} & \mathbb{Q}\\ 0 & 0 \end{bmatrix}$
negative_passages.docid: 43397
negative_passages.text: Linear algebra - find all possible positions of the third corner?