Tootfinder

Kulturtipp: VEKTOR-Lasershow im Kraftwerk
Im ehemaligen Kraftwerk in Berlin präsentiert der Lichtkünstler Christopher Bauder auf 2000 Quadratmeter eine Indoor-Lichtinstallation der Extraklasse.
https://www.

Positive values of non-homogeneous quadratic forms of type (1,4): A conjecture of Bambah, Dumir and Hans-Gill
Swati Bhardwaj, Leetika Kathuria, Madhu Raka
https://arxiv.org/abs/2402.18939

Positive values of non-homogeneous quadratic forms of type (1,4): A conjecture of Bambah, Dumir and Hans-Gill
Let $Q(x_1, \cdots,x_n)$ be a real indefinite quadratic form of the type $(r,s)$, $n=r+s$, signature $σ=r-s$ and determinant $D\neq 0$. Let $Γ_{r,n-r}$ denote the infimum of all numbers $Γ$ such that for any real numbers $c_1, c_2 ,\cdots, c_n$ there exist integers $x_1, x_ 2,\cdots, x_n$ satisfying $$0< Q(x_1+c_1,x_2+c_2,\cdots,x_n+c_n)\leq (Γ|D|)^{1/n}.$$ All the values of $Γ_{r,n-r}$ are known except for $Γ_{1,4}$. Earlier it was shown that $8\leq Γ_{1,4}<12$. It is conjectu…

On a Family of Relaxed Gradient Descent Methods for Quadratic Minimization
Liam MacDonald, Rua Murray, Rachael Tappenden
https://arxiv.org/abs/2404.19255 h…

On a Family of Relaxed Gradient Descent Methods for Quadratic Minimization
This paper studies the convergence properties of a family of Relaxed $\ell$-Minimal Gradient Descent methods for quadratic optimization; the family includes the omnipresent Steepest Descent method, as well as the Minimal Gradient method. Simple proofs are provided that show, in an appropriately chosen norm, the gradient and the distance of the iterates from optimality converge linearly, for all members of the family. Moreover, the function values decrease linearly, and iteration complexity resu…

Algorithmic strategies for finding the best TSP 2-OPT move in average sub-quadratic time
Giuseppe Lancia, Paolo Vidoni
https://arxiv.org/abs/2403.19878 htt…

Algorithmic strategies for finding the best TSP 2-OPT move in average sub-quadratic time
We describe an exact algorithm for finding the best 2-OPT move which, experimentally, was observed to be much faster than the standard quadratic approach. To analyze its average-case complexity, we introduce a family of heuristic procedures and discuss their complexity when applied to a random tour in graphs whose edge costs are either uniform random numbers in [0, 1] or Euclidean distances between random points in the plane. We prove that, for any probability p: (i) there is a heuristic in the…

Heute Dienstreise an den Standort in Erfurt.
Auto quittiert den Dienst
Also mit Vollgas mit dem Rad die Kilometer runter fahren um dann den Zug in der Ferne am Rosenheimer Bahnhof davon fahren zu sehen.
Der Tag kann eigentlich schon in die Tonne, aber ich bin heute bis 21 Uhr auf Achse 😒

Il disco del giorno è l'esordio di un trio di Leeds, lə Objections: 1/3 post-punk col basso bello tondo e possente e i ritmi quadrati, 1/3 melodie pop ariose e sbilenche, 1/3 chitarre noise in libertŠ.
Objections – Optimistic Sizing
https://objections.bandcamp.com/album/

Global solution for the stochastic nonlinear Schr\"odinger system with quadratic interaction in four dimensions
Masaru Hamano, Shunya Hashimoto, Shuji Machihara
https://arxiv.org/abs/2404.19362 https://arxiv.org/pdf/2404.19362
arXiv:2404.19362v1 Announce Type: new
Abstract: We discuss the global existence of solutions to a system of stochastic Schr\"odinger equations with multiplicative noise. Our setting of the quadratic nonlinear terms in dimension 4 is $L^2$-critical. We treat the solutions under the ground state. We estimate the time derivative of the quantity of energy by using the cancellation of the cubic terms in the spatial derivative of the solution.

This https://arxiv.org/abs/2402.15559 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Optimality and Noise-Resilience of Critical Quantum Sensing
We compare critical quantum sensing to passive quantum strategies to perform frequency estimation, in the case of single-mode quadratic Hamiltonians. We show that, while in the unitary case both strategies achieve precision scaling quadratic with the number of photons, in the presence of dissipation this is true only for critical strategies. We also establish that working at the exceptional point or beyond threshold provides sub-optimal performance. This critical enhancement is due to the emerg…

This https://arxiv.org/abs/2105.08419 has been replaced.
link: https://scholar.google.com/scholar?q=a

A sparse ADMM-based solver for linear MPC subject to terminal quadratic constraint
Model Predictive Control (MPC) typically includes a terminal constraint to guarantee stability of the closed-loop system under nominal conditions. In linear MPC this constraint is generally taken on a polyhedral set, leading to a quadratic optimization problem. However, the use of an ellipsoidal terminal constraint may be desirable, leading to an optimization problem with a quadratic constraint. In this case, the optimization problem can be solved using Second Order Cone (SOC) programming solve…

The classification and representations of positive definite ternary quadratic forms of level 4N
Yifan Luo, Haigang Zhou
https://arxiv.org/abs/2402.17443 ht…

The classification and representations of positive definite ternary quadratic forms of level 4N
Classifications and representations are two main topics in the theory of quadratic forms. In this paper, we consider these topics of ternary quadratic forms. For a given squarefree integer $N$, first we give the classification of positive definite ternary quadratic forms of level $4N$ explicitly. Second, we give explicit formulas of the weighted sum of representations over each class in every genus of ternary quadratic forms of level $4N$, which are involved with modified Hurwitz class number. …