I uploaded this to r/accidentalrenaissance and it got taken down after countless people accused it of being AI, which I can understand. Can this sub go the other direction and prove it’s NOT AI?...
The question really is that simple: Prove that the manifold $SO (n) \subset GL (n, \mathbb {R})$ is connected. it is very easy to see that the elements of $SO (n ...
The question really is that simple: Prove that the manifold $SO (n) \subset GL (n, \mathbb {R})$ is connected. it is very easy to see that the elements of $SO (n ...
We prove $L^\infty$ and $W^{1,2}$ weighted Wente's inequalities. We prove in particular the critical case: for the $|x|^2$ weighted Wente's estimate the optimal weight is $|x|^2\log|x|$....
This work investigates the family of extended tilted-CHSH inequalities in the single-prover cryptographic compiled setting. In particular, we show that a quantum polynomial-time prover can violate these Bell inequalities by at most negligibly more th...
Let $\Out(F_n)$ denote the outer automorphism group of the free group $F_n$ with $n>3$. We prove that for any finite index subgroup $Γ<\Out(F_n)$, the group $\Aut(Γ)$ is isomorphic to the normalizer of $Γ$ in $\Out(F_n)$. We prove that $Γ$ is {...
Beautiful 2 Bedroom Apartment Fully Renovated With Sea View – Villefranche Sur Mer ?? 2 Beds 2 Baths 840 Sqft Nice, Provence-Alpes-Côte d'Azur, France Updated: Today
We prove that the two-variable Tutte polynomial of hypergraphs can be defined via embedding activities. We also prove that embedding activities of hypergraphs yield a Crapo-style decomposition of $\mathbb{Z}^E$, thus generalizing Bernardi's results f...
We present a sequent calculus system for a modal reformulation of a system of nonmonotonic logic due to McCain and Turner: we prove cut elimination for our system. The proof system is in general infinitary: because we can prove cut elimination, man...
We prove a surgery formula for the smooth Yamabe invariant $σ(M)$ of a compact manifold $M$. Assume that $N$ is obtained from $M$ by surgery of codimension at least 3. We prove the existence of a positive number $Λ_n$, depending only on the dimensi...
**TL;DR:** I’ve proven beyond a shadow of a doubt the long-running fan theory that Michael Bay’s *The Rock* is the last chapter of Sean Connery’s run as James Bond 007, and have come up with a f...
My husband and I are planning a trip to southern France and are flying into Marseille in early August. * We are debating on staying in Marseille or Aix-en-Provence and want advice on the pros and co...
We prove a few new cases of the Sato-Tate conjecture for abelian surfaces, using a new automorphy theorem of Allen et al. Then in the unproven cases, we use partial results to describe nontrivial asymptotics on the trace of Frobenius, and prove their...
Implements proof of historical data possession on the Ethereum blockchain (⭐ 56)
Git mirror of https://isabelle.in.tum.de/repos/isabelle (⭐ 82)
We give completely combinatorial proofs of the main results of [3] using polygons. Namely, we prove that the mapping class group of a surface with boundary acts faithfully on a finitely-generated linear category. Along the way we prove some foundatio...
In this paper we prove a uniform controllability result for a fourth order parabolic partial differential equation which includes a transport term, when the coefficients of higher order terms vanish. We prove the null controllability of the system wi...
Dec 20, 2022 · Prove that $\operatorname {Hom}_A (A,M) \cong M$. I am wondering if the homomorphism that I should show is a group homomorphism or module homomorphism? Also, is my …
Prove that $\mathbb Z_ {m}\times\mathbb Z_ {n} \cong \mathbb Z_ {mn}$ implies $\gcd (m,n)=1$. This is the converse of the Chinese remainder theorem in abstract algebra.
vindicate somebody to prove that somebody is not guilty when they have been accused of doing something wrong or illegal; to prove that somebody is right about something. New evidence …