Intereting Posts

A problem on continuity of a function on irrationals for $f(x) = \sum_{r_n \leq x} 1/n^2$
An overring of a polynomial ring, noetherian or not?
A universal property for the subspace topology
How to determine pointwise limit/uniform convergence.
Counting number of distinct regions with intersecting circles
Which groups are derived subgroups?
Group presentations: What's in the kernel of $\phi$?
Why is $\sum_{x=1}^{p-1}\left(\frac{x}{p}\right)=\left(\frac{0}{p}\right)$?
For every irrational $\alpha$, the set $\{a+b\alpha: a,b\in \mathbb{Z}\}$ is dense in $\mathbb R$
Efficient computation of the trajectory of roots of a parameterized polynomial
“General” non centered Chi distribution (having correlated random variables)?
Can't understand this pseudo-inverse relation.
Bounded functionals on Banach spaces.
Prove that series converge
Proving that the cohomology ring of $\mathbb{R}P^n$ is isomorphic to $\mathbb{Z}_{2}/(x)^{n+1}$

We have $n$-ary sums ($\sum$) and products ($\prod$). Is there an $n$-ary exponentiation operator?

$$\underset{i=1}{\overset{n}{\LARGE{\text{E}}}}\, x_i = x_1 \text{^} (x_2 \text{^} (\cdots \text{^} (x_{n-1} \text{^} x_n)))$$

How about an $n$-ary tetration operator?

- Defining the Product of Ideals
- Given a commutative ring $R$ and an epimorphism $R^m \to R^n$ is then $m \geq n$?
- Proving that $\mathbb{Z}$ is a Euclidean domain
- Show that the ring of all rational numbers, which when written in simplest form has an odd denominator, is a principal ideal domain.
- Identifying a certain subgroup of a free group
- Projective but not free (exercise from Adkins - Weintraub)

$$\underset{i=1}{\overset{n}{\boxed{\underset{\leftarrow}{\LARGE{\text{4}}}}}}\, x_i = x_1 \uparrow\uparrow (x_2 \uparrow\uparrow (\cdots \uparrow\uparrow (x_{n-1} \uparrow\uparrow x_n)))$$

$$\underset{i=1}{\overset{n}{\boxed{\underset{\rightarrow}{\LARGE{\text{4}}}}}}\, x_i = (((x_1 \uparrow\uparrow x_2) \uparrow\uparrow \cdots) \uparrow\uparrow x_{n-1}) \uparrow\uparrow x_n$$

What are the correct symbols for these operations, if they exist?

- Calculating $a^n\pmod m$ in the general case
- Normal Subgroup Counterexample
- No group of order $400$ is simple - clarification
- How do I prove that $X^{p^n}-X$ is the product of all monic irreducible polynomials of degree dividing $n$?
- Motivation behind the definition of GCD and LCM
- Can $\sqrt{a}^\sqrt{b}$ be rational if $\sqrt{a}$ and $\sqrt{b}$ are irrational?
- How do I prove that the symmetric group $S_p$ where p is prime can be generated by any transposition and any p-cycle?
- $x$ is a left zero-divisor $\iff$ $x$ is a right zero-divisor.
- threshold of n to satisfy $a^n <n^a$
- Union of the conjugates of a proper subgroup

- Functions defined by integrals (problem 10.23 from Apostol's Mathematical Analysis)
- How to find the variance of $U= X-2Y+4Z$? & The Co-variance of $U=X-2Y+4Z$ and $V = 3X-Y-Z$
- A disease spreading through a triangular population
- Problem about Hasse diagrams
- Sequence of monotone functions converging to a continuous limit, is the convergence uniform?
- Determine the degree of the splitting field for $f(x)=x^{15}-1$.
- Let $B$ be a nilpotent $n\times n$ matrix with complex entries let $A = B-I$ then find $\det(A)$
- the positive square root of $I$?
- Alternative definition of the determinant of a square matrix and its advantages?
- Show identity between product-$\sigma$-algebra and a set
- Tricks to Intuitively See Uniform Continuity
- Proof that derivative of a function at a point is the slope of the tangent at the point
- Linear Algebra, add these two matrices
- Is every normed vector space, an inner product space
- Find all of the solutions of $z^4=2i$