5 Finding All Combinations 4 Show that the set $S = \{(x_1, x_2, x_3) : x_1^2 + x_2^2 = x_3^2, (x_1, x_2, x_3) + (0,0,0)\}$ is not connected 2 The inverse of $1+x$ in $\frac{\mathbb{Q}[x]}{\langle x^2+x+1 \rangle}$ and elegant methods of this computation 1 Question about projection onto subspaces 1 Show that the trivial representation of G occurs exactly once in $\pi_X$

### Reputation (417)

 +30 Calculation of Dynkin Index issue +15 Prove that there is $v$ that satisfies specific inner product conditions +10 Question about projection onto subspaces +10 Finding $a+b$ for real $a$ and $b$ such that $f(x)=ax+b$ and $f(bx+a)=x$

### Questions (3)

 3 Calculation of Dynkin Index issue 1 Combinations of given polynomials which give zero. 1 Van Kampen Theorem when $A \cap B$ is a circle bounding discs from $A$ and $B$.

### Tags (26)

 5 combinations 2 field-theory 4 connectedness 2 ring-theory 4 metric-spaces 1 abstract-algebra × 2 4 real-analysis 1 matrices × 2 2 linear-algebra × 5 1 matrix-calculus

### Bookmarks (0)

This user has no bookmarked questions.