“Developers and hobbyists are comparing the viral moment for Anthropic's Claude Code to the launch of generative AI”

“Intel's stock has surged dramatically, indicating renewed investor confidence.”

“Chatgpt's whisper is amazing, seriously. The ui is perfect.”

“These judgments were by no means uncommon. Rather, at that time...”

“This donation highlights Brockman's political leanings and suggests an attempt by the ChatGPT developer to curry favor with a potential Republican administration.”

“The article itself is very short and doesn't contain any direct quotes. The information is presented as a summary of a discovery.”

“Filing: OpenAI President Greg Brockman was the biggest donor to Trump's super PAC in H2 2025, donating $25M; Crypto.com operator Foris DAX donated $20M”

“The report indicates that the semiconductor industry is entering an unprecedented 'giga-cycle'.”

“The article mentions the Nuremberg Chronicle, printed in 1493, is considered one of the most important illustrated books of the early modern period.”

“SoftBank's commitment of $22-22.5 billion to OpenAI last week, as reported by sources. The initial investment agreement was for approximately $40 billion, with a pre-money valuation of $260 billion.”

“The rise of AI agents, which autonomously perform tasks based on set goals, is attracting attention. What should individuals do for their career development in such a transformative period?”

“The paper shows that almost proper varieties, as well as p-adic (weakly admissible) period domains in the sense of Rappoport-Zink belong to this class.”

“The discrete period matrix admits the same canonical decomposition $Π= rac{1}{2} H + i T$ as in the smooth setting, where $H$ encodes the topological type and $T$ is purely imaginary.”

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

“We find no significant peak in the periodogram of those bursts.”

“The nonlinear coefficient λ provides accurate control of this periodicity: a positive λ stretches the region, while a negative λ compresses it.”

“By precisely tuning the intensity ratio between fundamental and doughnut modes, we arrive at the generation of propagation-invariant vector flat-top beams for more than 5 m.”

“This work successfully reveals the intrinsic topological characteristics encoded within the Floquet eigenstates themselves.”

“The paper discovers three new families of periodic orbits and proves the existence of stable periodic orbits for restitution coefficients larger than previously known.”

“The paper establishes the consistency of the QMLE and derives its asymptotic distribution, and proposes a bias-corrected estimator.”

“The paper identifies the obstruction to the existence of the Prequantum Groupoid as the non-additivity of the integration of the prequantum form on the space of loops.”

“For every irrational ω with β(ω) < L, where L > 0 denotes the Lyapunov exponent, and every non-resonant phase θ, we prove Anderson localization, i.e. pure point spectrum with exponentially decaying eigenfunctions.”

“DQPTs can be induced in two distinct ways: resonant driving within a phase and low-frequency driving across the critical point.”

“Empirically, we find that quasi-symmetry results from a spatial resonance between shape complexity and shape rotation about the magnetic axis.”

“During stable market conditions, LLM-weighted portfolios frequently outperformed sector indices... However, during the volatile period, many LLM portfolios underperformed.”

“The author states, "I've been talking about Claude Code on X (Twitter)." and "2025 was a year of great leaps for AI agents, and for me, it was the year of Claude Code."”

“Dynamic multipliers can be used to guarantee the closed-loop power gain to be bounded and quantifiable.”

“The paper constructs a four-dimensional lattice-gas model with finite-range interactions that has non-periodic, ``quasicrystalline'' Gibbs states at low temperatures.”

“The paper identifies the tangent map with the dual HKR map and proves liftability along square-zero extensions to be a derived invariant.”

“The paper proves that a cutoff phenomenon holds independently of the transition probabilities, subject only to the sub-Gaussian assumption and a minimal aperiodicity hypothesis.”

“Skin-like dynamics exhibit periodic information shuttling with finite, oscillatory EE, while edge-like dynamics lead to complete EE suppression.”

“The paper constructs standing waves of the NLS equation whose leading-order profile is a modulation of Bloch waves by means of the components of a spinor solving an appropriate cubic nonlinear Dirac (NLD) equation.”

“”

“The study demonstrates the efficacy of periodic DLPNO-MP2 for probing increasingly sophisticated adsorption systems at the thermodynamic limit.”

“Our approach relies on nonlinear analysis, topological methods, and the theory of strongly continuous semigroups, yielding results applicable to a wide range of models.”

“The paper reports the discovery of five optical variables coincident with the localizations of 4FGL J0821.5-1436, 4FGL J1517.9-5233, 4FGL J1639.3-5146, 4FGL J1748.8-3915, and 4FGL J2056.4+3142.”

“AI’s early-2025 spending spree featured massive raises and trillion-dollar infrastructure promises. By year’s end, hype gave way to a vibe check, with growing scrutiny over sustainability, safety, and business models.”

“Responses to different perturbation types are dynamically incompatible when they occur in separate experiments... On the other hand, if both perturbation types are presented at random during the same experiment then the responses are compatible with each other and can be construed as produced by a unique underlying mechanism.”

“The source is ArXiv, indicating this is a pre-print or research paper.”

“The analysis of all the data suggests that the anomalous CSL is not continuously connected to the high-frequency CSL.”

“The authors find 'tentative evidence for a month-scale QPO; however, its detection significance is limited by the small number of observed cycles.'”

“The paper presents an efficient method to search for periodic signals in repeating FRBs by combining phase folding and Markov Chain Monte Carlo (MCMC) parameter estimation.”

“"This is collectively a far more effective way to be seen than hundreds of random reports on the feed."”

“The entire industry is now on the eve of an explosion. Currently, it is the construction period of the low-orbit satellite constellation, and it will soon enter commercial operation, at which time the application scenarios will be greatly enriched, and the demand will increase exponentially.”

“The article doesn't contain a direct quote.”

“When the budget is low, the optimal reward scheme employs sufficient performance targeting, rewarding the agent's first performance. Conversely, when the principal's budget is high, the focus shifts to sustained performance targeting, compensating the agent's second performance.”

“The article doesn't contain a direct quote, but summarizes Altman's statements.”

“The error of approximation of the $2π$-periodic sawtooth function $(π-x)/2$, $0\leq x<2π$, by its $n$-th Fourier polynomial is shown to be bounded by arccot$((2n+1)\sin(x/2))$.”

“Google Gemini CLI v0.22.0 〜 v0.22.4 Release Dates: 2025-12-22 〜 2025-12-27. This week's Gemini CLI added five enterprise features, including A2A server, persistent permission policies, and IDE integration.”

“"the energy to achieve up to the minute data for all the most popular LLMs would require a massive amount of compute power and money"”