“This high-profile dispute, described by some as 'Silicon Valley's messiest breakup,' will now be heard in court.”

“"It took us a little while to understand the right set of features and functionality to offer if we're going to move these companies from our free platform to a commercial platform ... but all our Big Tech partners really see the need for them to commit to sustaining Wikipedia's work,"”

“We propose the Error Depth Hypothesis: stronger models make fewer but deeper errors that resist self-correction.”

“The benchmark demands a lot of model's visual reasoning: they must mentally rotate pieces, count coordinates properly, keep track of each piece's starred square, and determine the relationship between different pieces on the board.”

“The Future on Margin (Part I) by Howe Wang. How three centuries of booms were built on credit, and how they break”

“The student asks: 'What is the real difference between AI Engineering and Machine Learning? What does an AI Engineer actually do in practice? Is integrating ML/LLMs into web apps considered AI engineering? Should I continue web development alongside AI, or switch fully? How can I move from theory to real-world AI projects in my final year?'”

“The paper formulates the covariant hydrodynamics equations as an intersection problem on an infinite dimensional symplectic manifold associated with spacetime.”

“The paper derives bilinear tau forms of the canonically quantized Painlevé equations, relating them to those previously obtained from the $\mathbb{C}^2/\mathbb{Z}_2$ blowup relations.”

“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 best-fitting mass density model is found to faithfully reproduce the observed dependence of orbital momenta on apparent separation.”

“The paper constructs solitary waves in Dirac--Klein--Gordon (in one and three spatial dimensions) and studies the dependence of energy and charge on $ω$.”

“Each such variety is irreducible and admits a rational parametrization. The assignment is functorial: algebra quotients correspond to monomial maps among the varieties.”

“The study employs cross-spectral analysis techniques to characterize the coherent dynamics of the flow, providing insight into the influence of geometry on unsteady swirl dynamics.”

“The eigenfunctions admit an expansion with universal coefficients so that the dependence on the twist $a$ is hidden only in these ground state eigenfunctions, and we suggest a general formula that allows one to construct these eigenfunctions from non-symmetric Macdonald polynomials.”

“The paper successfully examines a relationship between the thermal and magnetic properties of the ferromagnetic amorphous alloy under its non-linear deformation, using the critical exponents.”

“The study provides additional evidence that high-$M_A$ regions of coronal shock surface are instrumental in energetic particle phenomenology.”

“An acyclic mcp graph is amenable if and only if a.e. component has at most two nonvanishing ends, while it is nowhere amenable exactly when a.e. component has a nonempty perfect (closed) set of nonvanishing ends.”

“Key quotes include: "Ultimately, the model performance and the benefit the robot receives during training reflect the quality of the data." and "The future data collection methods may move towards diversification." The article also highlights the importance of considering the cost of data collection and the adaptation of various data collection methods to different scenarios and hardware.”

“The tidal dephasing caused by the difference in tidal deformability and f-mode frequency is calculated and found to be undetectable by next-generation gravitational wave detectors.”

“The article states that LLM applications are easy to make 'seem to work' but difficult to make 'work as expected,' leading to issues like 'it's not what I expected,' 'they said they built it to spec,' and strained relationships between the team and the vendor.”

“For fixed $m$ and $n$, the paper characterizes the pairs of parameters $k_1,k_2$ for which $ζ_{G(p,m,n,k_1)}(s)=ζ_{G(p,m,n,k_2)}(s)$.”

“Increasing strain rate promotes the activation of a growing number of stronger sites. Dislocation avalanches become larger through the superposition of simultaneous events and because stronger obstacles are required to arrest them.”

“The paper focuses on the real eigenvalues of the non-backtracking matrix and their relation to the non-backtracking Laplacian for node clustering.”

“The paper establishes factorization results that clarify the relationship between a minimal isometric dilation and an arbitrary isometric dilation of a contraction.”

“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 certain universal successive extension of filtered (φ,N)-modules can be realized as the space of homomorphisms from a suitable shift of the dual of locally K-analytic Steinberg representation into the de Rham complex of the Drinfeld upper-half space.”

“The Pat-SPECTER model performs best, which is the SPECTER2 model fine-tuned on patents.”

“The factor graph provides a cleaner, compact and non-redundant alternative to the graph A_4(S) by Barrus and West, for the particular case of split graphs.”

“The rescaled Hitchin metric converges, in the semiclassical limit, to the hyperkähler metric on the hyperpolygon space.”

“The paper proves that the unreduced singular instanton homology has 2-torsion for any null-homologous fibered knot (except for a specific case) and provides a formula for calculating it.”

“The paper gives sufficient criteria that guarantee the integrability for the aforementioned generalized structures, formulated in terms of properties of the associated 2-form and connection.”

“CRMS reduces latency by over 14% and improves energy efficiency compared with heuristic and search-based baselines.”

“The paper demonstrates how the Geometric View organizes quantum-mechanical representations and dualities in geometric terms.”

“The paper defines a non-compact 3-dimensional TQFT from the data of a (potentially) non-semisimple modular tensor category.”

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“The paper derives geodesic equations, analyzes the radial photon orbital equation, and explores the relationship between photon ring width and the Lyapunov exponent.”

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“The paper proves that the family of Bethe subspaces extends regularly to the minimal wonderful model of the toric arrangement.”

“The granularity penalty follows a multiplicative power law with an extremely small exponent.”

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“The CMU5 rate in D-8 nations has steadily decreased, according to a somewhat negative linear regression model, therefore slightly undermining the fourth Millennium Development Goal (MDG4) of the World Health Organisation (WHO).”

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“The model reproduced quite well both the inner rise and outer flat regions of the observed rotation curves using the observed baryonic mass profiles only.”

“The article likely contains a quote from a psychologist explaining the core concept.”

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“The article's focus is on the application of a mathematical theorem (Atiyah-Singer index theorem) to a specific area of physics (non-SUSY physics).”

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