Intereting Posts

Functional Equation $f(mn)=f(m)f(n)$.
How are first digits of $\pi$ found?
Fourier series for $\phi(x) = x$ on $$
$\mathbb{Q}(\sqrt2,\sqrt3,\sqrt{(2+\sqrt{2})(3+\sqrt{3})})$ is Galois over $\mathbb{Q}$
Computing Invariant Subspaces of Matrix Groups
Example of Riemann integrable $f: \to \mathbb R $ whose set of discontinuity points is an uncountable and dense set in $$
Is there a branch of mathematics that requires the existence of sets that contain themselves?
What comes after exponents?
$a_{n+1}=|a_n|-a_{n-1} \implies a_n \; \text{is periodic}$
Explanation on arg min
Show that if $U$ is an open connected subspace of $\mathbb{R}^2$, then $U$ is path connected
Maximum subset sum of $d$-dimensional vectors
Energy for the 1D Heat Equation
Painting the faces of a cube with distinct colours
What is the difference between $d$ and $\partial$?

Does anyone have a link to Hilbert’s Original Proof of the Nullstellensatz, or know a book where it’s printed? I’d be interested to see what it was like. I only really know the Noether normalisation and Zariski proofs. While these are both good, it would be nice to have it ‘from the horse’s mouth’!

Many thanks in advance.

- If a ring is Noetherian, then every subring is finitely generated?
- Geometric and arithmetic Frobenius
- Decomposing an Affine transformation
- Degree of curves is stable in parametrized families
- Are vector bundles on $\mathbb{P}_{\mathbb{C}}^n$ of any rank completely classified? (main interest $n=3$)
- Question on geometrically reduced, geometrically connected.

- Prove that $k/(xy-zw)$, the coordinate ring of $V(xy-zw) \subset \mathbb{A}^4$, is not a unique factorization domain
- Degree of curves is stable in parametrized families
- Finding singular points and computing dimension of tangent spaces (only for the brave)
- Which theorem did Poincaré prove?
- Unexpected approximations which have led to important mathematical discoveries
- The importance of the structural morphism of a projective variety.
- When does the regularity of $A$ implies the regularity of $A$?
- Why the SVD is named so…
- What are the conditions for a polygon to be tessellated?
- References on Inverse Problems, Approximation theory and Algebraic geometry

According to Eisenbud, Hilbert’s Nullstellensatz can be found in:

- Hilbert, D. (1893). Über die vollen Invariantensysteme. Math. Ann. 42, pp. 313–373. Also freely available on the GDZ.

The statement of the theorem appears at the bottom of p. 320, if I’m not mistaken. (I don’t read German, however!)

- Is there any simple method to calculate $\sqrt x$ without using logarithm
- Existence of a limit associated to an almost subadditive sequence
- Prove that equation has exactly 2 solutions
- Finding the circles passing through two points and touching a circle
- Brouwer's fixed point theorem (for unit balls) and retractions
- How deep is the booze in my cocktail glass?
- Matrix for rotation around a vector
- Quotition versus partition
- Manifold diffeomorphic to $\mathbb{S}^1\times\mathbb{R}$.
- Finding the no. of possible matrices given the order and limited no. of entries
- If $Var(X)=0$ then is $X$ a constant?
- Proving that $\lim_{x\to1^-}\left(\sqrt{1-x}\cdot\sum_{n=0}^\infty~x^{n^a}\right)=\Gamma\left(1+\frac1a\right)$
- Expectation of exponential martingale and indicator function.
- How can I find the square root using pen and paper?
- prove this $\sum_{n=1}^{\infty}\arctan{\left(\dfrac{1}{n^2+1}\right)}=\arctan{\left(\tan\left(\pi\sqrt{\dfrac{\sqrt{2}-1}{2}}\right)\cdots\right)}$