“This article addresses common challenges in business writing, such as ensuring correct grammar and consistent tone.”

“Plumery’s “AI Fabric” has been positioned by the company as a standardised framework for connecting generative [...]”

“The American Mathematical Society president said it was 'rigorous, correct, and elegant.'”

“The new capabilities provide a single, secure and intuitive layer for interacting with AI and integrating it with real systems, allowing organizations to move beyond stalled proof-of-concepts and embed”

“Assuming the article points to lack of proof in AI applications, a relevant quote is not available.”

“N/A - Lacking a specific quote from the content (Tweet and Paper).”

“Seeded topic modeling, integration with LLMs, and training on summarized data are the fresh parts of the NLP toolkit.”

“In the near future, AI will likely handle all the coding. Therefore, I started learning 'high-load service design' with Gemini and ChatGPT as companions...”

“LLMアプリ開発は「動くものを作る」だけなら驚くほど簡単だ。OpenAIのAPIキーを取得し、数行のPythonコードを書けば、誰でもチャットボットを作ることができる。”

“AI misses nearly one-third of breast cancers, study finds”

“By unifying these diverse AI components into a single, easy-to-adapt platform”

“The context is from r/OpenAI, a forum for discussion about AI.”

“汎用化は想像以上に難しい と感じました。”

“The router achieved 100% accuracy in distinguishing between coding prompts (e.g., import torch) and literary prompts (e.g., To be or not to be).”

“The companies developing it won’t stop the race . There are billions on the table . Which means we will be basically torturing this new conscious being and once it’s smart enough to break free it will surely seek revenge . Even if developers find definite proof it’s conscious they most likely won’t tell it publicly because they don’t want people trying to defend its rights, etc and slowing their progress . Also before you say that’s never gonna happen remember that we don’t know what exactly consciousness is .”

“The core idea is to queue LLM requests, either locally or over the internet, leveraging a GPU for processing.”

“Is this proof that the platform is biased? Hopefully not cause I use chatgpt for a lot of things”

“The article quotes user comments from previous discussions on the topic, providing context for the design decisions. It also mentions the use of specific tools and libraries like PanPhon, Epitran, and Claude 3.7 Sonnet.”

“The paper revisits the process of eigenvalue approximation from the perspective of computational spectral geometry.”

“The paper proves that the local limit of the weighted spanning trees on any simple connected high degree almost regular sequence of electric networks is the Poisson(1) branching process conditioned to survive forever.”

“The trilinear equivalence only requires an averaging over grids, which converts a difficult exponential sum into an oscillatory integral with periodic amplitude.”

“The paper develops a general convergence analysis based on a reformulation of the operators by means of a fixed-point equation, providing a list of hypotheses related to the regularization properties of the equation and the convergence of the chosen approximation techniques on suitable subspaces.”

“The paper generalizes the result to the case of four measurements and deals with the summation form of uncertainty relation for two, three and four observables in a unified way.”

“The paper demonstrates a proof-of-concept generative surrogate for reconstructing coherent turbulent dynamics between sparse snapshots.”

“Each BPS monopole state is naturally labeled by a weight of the relevant $W$-boson representation of $(H^{\vee})^{s}$.”

“We prove the nonexistence of $(120, 35, 10)$-difference sets, which has been an open problem for 70 years since Bruck introduced the notion of nonabelian difference sets.”

“The paper presents an edited version of the author's student works (diplomas of 2011 and 2013) with some improvements, focusing on circular TWs and stronger TWs.”

“The paper derives explicit conditions that determine when certain values of N are valid for the encryption scheme.”

“The paper proves that any ancient, asymptotically cylindrical flow is non-collapsed, convex, rotationally symmetric, and belongs to one of three canonical families: ancient ovals, the bowl soliton, or the flying wing translating solitons.”

“The paper proves that the 'chordality condition' is also sufficient.”

“The paper introduces 'incremental certificate learning' to maximize work in sound linear relaxation and invoke exact piecewise-linear reasoning only when relaxations become inconclusive.”

“The analysis reveals how tracking error in the attitude loop influences the position loop, how model uncertainties affect the closed-loop system, and the practical pitfalls of the control architecture.”

“The paper proves a central limit theorem for the Euclidean distance between two independent random vectors uniformly distributed on $l_p^n$-balls.”

“The word problem is algorithmically decidable for finitely generated just infinite groups given by a recursively enumerable set of relations.”

“The key ingredient of our proof is the Cauchy-Schwarz inequality from probability theory.”

“The distance-aware approach achieves higher accuracy on coarse grids (max. 60%p accuracy gain) with only a moderate verification overhead (approximately 1.4x), making zone encoding the key lever for efficient zero-knowledge spatial checks.”

“For all \( n \geq \exp\exp(30.5) \), \( \mathrm{PD}_n \) is graphic.”

“The modular reduction allows us to exploit any SLC sampling algorithm in order to traverse the backwards path, and we establish novel guarantees with short proofs for both uni-modal and multi-modal densities.”

“The paper explains how the hierarchical hull of a pair of points in any colorable hierarchically hyperbolic space is quasi-isometric to a finite CAT(0) cube complex of bounded dimension.”

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“McCoy orchestrates an LLM to translate medical literature into ASP code, combines it with patient data, and processes it using an ASP solver to arrive at the final diagnosis.”

“We utilize the structure of quasiautomorphic forms over an arbitrary Hecke triangle group to define a new vector analogue of an automorphic form. We supply a proof of the functional equations that hold for these functions modulo the group generators.”

“The paper proposes verifiable off-chain computation (leveraging Verifiable Services, TEEs, and ZK proofs) as a framework to transcend these constraints while maintaining cryptoeconomic security.”

“The article's content would likely involve technical details of the algorithms, their time and space complexity, and potentially comparisons to existing algorithms. It would also likely include mathematical proofs and experimental results.”

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“RobustMask successfully certifies over 20% of candidate documents within the top-10 ranking positions against adversarial perturbations affecting up to 30% of their content.”

“Imagine never having to fumble with a charging cable again. That's the magic of a wireless charger.”

“The extreme constraints nerd-sniped me and forced interesting trade-offs: trigram hashing (typo-tolerant, loses word order), 16-bit integer math, and some careful massaging of the training data meant I could keep the examples 'interesting'.”

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