17SI.34SA
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### Questions (75)

 12 Problem on abelian group 12 Every partial order can be extended to a linear ordering 7 Finding solution in naturals to $a^b=b^a$ with the help of $f(x)=\frac{\ln(x)}{x}$ 5 Is $\varsigma$ equivalence relation? 5 Chain of length $2^{\aleph_0}$in $(P(\mathbb{N}),\subseteq)$

### Reputation (789)

 +15 Unbounded family of functions from $\mathbb{N}$ to $\mathbb{N}$ +5 Chain of length $2^{\aleph_0}$in $(P(\mathbb{N}),\subseteq)$ +5 Every partial order can be extended to a linear ordering +5 Functional equation $f(xy)=f(x)+f(y)$

 2 Matrices as generators of free group. 1 Inner product space and positive define matrix. 0 Eigenvectors problem 0 Constant $f:[\mathbb{N}]^2\to \{1,2\}$ (part 2) 0 How one should solve $x^2+\frac{81x^2}{(x+9)^2}=40$

### Tags (42)

 2 matrices × 4 0 elementary-set-theory × 26 2 group-theory × 3 0 calculus × 17 2 abstract-algebra × 3 0 sequences-and-series × 12 2 free-groups × 2 0 relations × 4 1 linear-algebra × 18 0 equivalence-relations × 2

### Account (1)

 Mathematics 789 rep 314