Intereting Posts

Example I.4.9.1 in Hartshorne (blowing-up)
Rudin assumes $(x^a)^b=x^{ab}$(for real $a$ and $b$) without proof?
When does equality hold in the Minkowski's inequality $\|f+g\|_p\leq\|f\|_p+\|g\|_p$?
Each digit of $\dfrac{n(n+1)}{2}$ equals $a$
Hartshorne's t functor
If a matrix is triangular, is there a quicker way to tell if it is can be diagonalized?
Product of $SU(2)$ representations
Polynomial map is surjective if it is injective
The limiting case of a discrete probability problem
Volume forms and volume of a smooth manifold
Splitting of the tangent bundle of a vector bundle and connections
resources to study PDE from
Why does the sum of these trigonometric expressions give such a simple result?
The limit $\lim_{n\to \infty}\frac{T_n(n)}{e^n}$ where $T_n(x)$ is the Taylor polynomial of $e^x$
Prove that every number between two factors of primes is composite.

Is there some generally accepted notation for squarefree, cubefree, etc. numbers?

And is there also some notation for squareful, cubeful, etc. numbers?

- Notation for repeated composition of functions
- Solve for ? - undetermined inequality symbol
- Etymology of Tor and Ext
- “Good” notation for $\hom$-functors
- Conventions for function notation
- Element-wise (or pointwise) operations notation?

- Notation Question: What does $\vdash$ mean in logic?
- What does $\mathbb{R} \setminus S$ mean?
- n-tuple Notation
- Does set $\mathbb{R}^+$ include zero?
- Why are x and y such common variables in today's equations? How did their use originate?
- Is there a notation for being “a finite subset of”?
- Etymology of Tor and Ext
- Question about the radical of the Jacobson radical.
- Is the equation $\phi(\pi(\phi^\pi)) = 1$ true? And if so, how?
- Is there a meaningful distinction between “inclusion” and “monomorphism”?

I don’t think there is any *generally accepted* notation for those numbers. But you could of course define those sets, for example the cubefree numbers

$$\Bbb Z_{c.f.} = \{a \in \Bbb Z \mid \not\exists b \in \Bbb Z \setminus \{1,-1\} \text{ s.t. } b^3 \mid a \}$$

or else.

- How find this integral $I=\int\frac{1}{\sin^5{x}+\cos^5{x}}dx$
- Find the equation of the tangent line to the ellipse at the given point
- Function Sequence Uniform Convergence
- Can you draw the e-NFA from the following definition?
- $ \cos {A} \cos {B} \cos {C} \leq \frac{1}{8} $
- Computing the square root function with Newton's method
- Does $a^n \mid b^n$ imply $a\mid b$?
- fast algorithm for solving system of linear equations
- $i^{-1} F$ a sheaf if and only if $\varinjlim_{ U \subseteq X \text{ open}, ~ x,y \in U } F(U) \to F_x \times F_y$ is an isomorphism.
- restriction of scalars, reference or suggestion for proof
- Proving a formula related with zeta function
- Balance chemical equations without trial and error?
- Matching Hats AND Coats Problem
- Explicit formula of Mobius Transformation that maps non intersecting circles to concentric circles
- Picking cakes if we need at least one of each type