We prove Steinebrunner's conjecture on the biequivalence between (colored) properads and labelled cospan categories. The main part of the work is to establish a 1-categorical, strict version of the conjecture, showing that the category of properads i...
Dvořák and Postle \cite{DP} introduced a \textit{DP-coloring} of a simple graph as a generalization of a list-coloring. They proved a Brooks' type theorem for a DP-coloring, and Bernshteyn, Kostochka and Pron \cite{BKP} extended it to a DP-coloring...
of Vienne was granted to the Archdiocese of Vienne. Girart de Roussillon ruled Provence from Vienne in the mid-ninth century. His successor in Vienne was
We provide groupoid models for Toeplitz and Cuntz-Krieger algebras of topological higher-rank graphs. Extending the groupoid models used in the theory of graph algebras and topological dynamical systems to our setting, we prove results on essential...
Assuming the extrinsic $Q$-curvature admits a decomposition into the Pfaffian, a scalar conformal submanifold invariant, and a tangential divergence, we prove that the renormalized area of an even-dimensional minimal submanifold of a Poincaré-Einste...
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Based on the remarkable achievements of pre-trained language models in abstractive summarization, the copying mechanism has proved helpful by improving the factuality, stability, and overall performance. This work proposes PROM, a new PhRase-level cO...
I'm been getting frustrated with seeing all of these streamers "smurfing for content", so I built a tool to prove they are not leveling them up on their own. I extended my hobby project to include a s...
Current conversational passage retrieval systems cast conversational search into ad-hoc search by using an intermediate query resolution step that places the user's question in context of the conversation. While the proposed methods have proven effec...
The requirement-driven performance evaluation of a black-box cyber-physical system (CPS) that utilizes machine learning methods has proven to be an effective way to assess the quality of the CPS. However, the distributional evaluation of the performa...
In 1960, G. Grätzer and E.\,T. Schmidt proved that every finite distributive lattice can be represented as the congruence lattice of a sectionally complemented finite lattice $L$. For $u \leq v$ in $L$, they constructed a sectional complement, which...
We compute the rate of convergence of forward, backward and central finite difference $θ$-schemes for linear PDEs with an arbitrary odd order spatial derivative term. We prove convergence of the first or second order for smooth and less smooth initi...
We prove Dipendra Prasad's conjecture on the distinction of the Steinberg representation for symmetric spaces of the form G(E)/G(F), where G is a split reductive group defined over F and E/F an unramified quadratic extension of non-archimedean local...
to characterize them as lyric-dramatic. The origins of the cantigas d'amor are usually traced to Provençal and Old French lyric poetry, but formally and
Amazon Vine is an invitation-only program in which proven insightful reviewers have the opportunity to review new products, free of charge, in exchange for honest and unbiased product reviews. Amazon …
Miyanishi conjecture claims that for any variety over an algebraically closed field of characteristic zero, any endomorphism of such a variety which is injective outside a closed subset of codimension at least $2$ is bijective. We prove Miyanishi con...
A refinement of a trace inequality of McCarthy establishing the uniform convexity of the Schatten $p$-classes for p>2 is proved...
Ahead of Super Bowl 2026, ADWEEK revisits the 26 commercials of the past 26 years that proved worthy of the hype. 2000: Budweiser “Wassup?” by DDB Chicago Budweiser | Wassup | Super Bowl …
Please be kind these were taken right after I woke up and I don’t have my face on. lol The frizzy hair is my hair just washed/conditioned and no product. (My son’s current routine) The other pi...
DOCUMENTATION meaning: 1 : the documents, records, etc., that are used to prove something or make something official; 2 : written instructions for using a computer or computer program
Given a graph of C*-algebras, we prove a long exact sequence in KK-theory for both the maximal and the vertex-reduced fundamental C*-algebras in the presence of possibly non GNS-faithful conditional expectations. We deduce from it the KK-equivalence...
The cloud computing is evolving as a key computing platform for sharing resources like infrastructure, platform, software etc. This has proven to be an essential requirement for extending many existing applications. Software as a service (SaaS) is re...
In this paper, we deal with the boundary controllability and boundary stabilizability of the 1D wave equation in non-cylindrical domain of the form ($α(t)<x<β(t)$). By using the characteristics method, we prove under a natural assumption on the bou...
Low-dimension graph embeddings have proved extremely useful in various downstream tasks in large graphs, e.g., link-related content recommendation and node classification tasks, etc. Most existing embedding approaches take nodes as the basic unit for...
Non-interactive challenges leverage what is called a JavaScript proof-of-work and ask a client to prove that it is running a JavaScript-compatible browser by solving what is essentially a JavaScript math …
La liste des liens vers les sites Web cités plus bas ainsi que leur contenu (ci-après collectivement appelés le « Contenu site Web») provenant de sources externes et ne relevant pas de l’autorité ni de …
Amazon Vine is an invitation-only program in which proven insightful reviewers have the opportunity to review new products, free of charge, in exchange for honest and unbiased product reviews. Amazon …
How old is the movie? Overview Six months after the events depicted in The Matrix, Neo has proved to be a good omen for the free humans, as more and more humans are being freed from the matrix and …
We’re on a mission to prove that the perfect cookie isn’t soft or chewy — it’s crisp, crunchy, and baked to golden perfection. Every cookie is handcrafted with care, layered with flavor, and intentionally made …
By comparing two different evaluations of a modified (à la Borcherds) higher Siegel theta lift on even lattices of signature $(r,s)$, we prove Eichler--Selberg type relations for a wide class of negative weight vector-valued mock modular forms. In d...
We prove a conjecture of Matsusaka on the analytic continuationof hyperbolic Eisenstein series in weight $2$ on the full modular group $\mathrm{SL}_2(\mathbb{Z})$....
We prove that there exists a class of crystalline insulators, which we call "fragile Mott insulators" which are not adiabatically connected to any sort of band insulator provided time-reversal and certain point-group symmetries are respected, but whi...
Lloyd [1] proved that a large performance gain accrues from use of entanglement in single-photon target detection within a lossy, noisy environment when compared to what can be achieved with unentangled single-photon states. We show that the perfor...
We analyze the privacy guarantees of the Attribution API, an upcoming W3C standard for privacy-preserving advertising measurement. Its central guarantee--separate individual differential privacy (IDP) budgets per querier--proves unsound once data ada...
As large language models (LLMs) generate increasingly human-like text, watermarking offers a promising solution for reliable attribution beyond mere detection. While multi-bit watermarking enables richer provenance encoding, existing methods largely...
Rational approximation has proven to be a powerful method for solving two-dimensional (2D) fluid problems. At small Reynolds numbers, 2D Stokes flows can be represented by two analytic functions, known as Goursat functions. Xue, Waters and Trefethen...
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Edit: After doing some research, does anyone think I have a chance at getting my Gold Card reinstated? My credit score is certainly too low to get re-approved, but I can prove significant income incre...
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**Steel Soul.** It's painful. It's not for everybody, hell, I'm sure most people would go without even attempting it. SO PROVE IT FOR THE SHINY ACHIEVEMENT. DO ITTTTT I'm not a very good player when...