“Runpod, an AI app hosting platform that launched four years ago, has hit a $120 million annual revenue run rate, founders Zhen Lu and Pardeep Singh tell TechCrunch.”

“TSMC's report revealed optimistic business prospects and record-breaking capital expenditure plans for this year, injecting substantial optimism into the market.”

“The paper demonstrates conformal multiplet structure together with the hallmark of emergent spacetime supersymmetry through characteristic relations between fermionic and bosonic operators.”

“The paper reviews multiple ionization effects, plasma filament formation, supercontinuum broadening, and the unique capabilities of photonic crystal fibers.”

“The paper proposes a new interpretation of the algebra of line operators in this theory as a tensor product of vector representations of a quantum toroidal algebra.”

“The paper demonstrates that 'extreme-wave phenomena, often treated as deleterious fluctuations, can be harnessed as structural nonlinearity for scalable, energy-efficient neuromorphic photonic inference.'”

“The L-PT phase transition point is typically a critical exceptional point, where multiple collective excitation modes with zero excitation spectrum coalesce.”

“The paper develops a solid geometric framework for the theory by creating isochrons, which are the level sets of the asymptotic phase, using the Graph Transform theorem.”

“The study substitutes thermal diffusion with mass diffusion and extends the usual scheme of mass diffusion to comprehend also the anomalous phenomena of superdiffusion or subdiffusion.”

“The paper finds combinations of charge and halo parameters that leave the deflection angle unchanged from the Schwarzschild case, thereby leading to a situation where an MHDM BH and a Schwarzschild BH become indistinguishable.”

“The paper observes "another nonlinear structure that lags behind the source term, maintaining its shape and speed as it propagates."”

“The paper establishes continuity of the operators and the unique strong solvability of the corresponding nonlocal parabolic equations in $L_p$ spaces.”

“The paper provides direct experimental evidence of a pseudo-electric field that results in an unusual dynamic strain-induced Hall response.”

“The resulting acceptor layer achieves a striking Δn response time as short as 9 fs, approaching a single optical cycle, and is further tunable to sub-cycle timescales.”

“The paper derives a third-order linear differential equation for the partition function, a key result.”

“The paper classifies spin effects into four categories with each having two subtypes; representative materials are pointed out.”

“The paper analyzes the self-orthogonality in the vicinity of an EP and the Berry phase.”

“The article highlights that 'compliance' and 'hallucinations' are not simply rule violations, but rather 'semantic resonance phenomena' that distort the model's latent space, even bypassing System Instructions. Phase 1 aims to counteract this by implementing consistency as 'physical constraints' on the computational process.”

“Solar flares are the largest energy-release events in the Solar System, allowing us to study fundamental physical phenomena under extreme conditions.”

“The dispersive shift and vacuum Rabi splitting emerge from the transcendental eigenvalue equation, with the residues determined by matching to the splitting: $δ_{ge} = 2Lg^2ω_q^2/v^4$, where $g$ is the vacuum Rabi coupling.”

“The oscillations are instead *enhanced*, decaying much slower than in the PXP limit.”

“Observational upper limits on the mass enclosed in central galactic regions can probe both attractive and repulsive self-interactions with strengths $λ\sim \pm 10^{-96} - 10^{-95}$.”

“In cases V and VI, the Hamiltonian analysis yields 8 degrees of freedom, while only 6 and 5 modes are visible at linear order in perturbations, respectively. This indicates that additional modes are strongly coupled on cosmological backgrounds.”

“The paper reveals the structure of superconducting Berry curvatures and derives the superconducting Berry curvature induced thermal Edelstein effect and spin Nernst effect.”

“The paper shows that a viable region of parameter space in this model can account for the gamma-ray excess observed in the Galactic Center using Fermi-LAT data.”

“The paper validates the numerical approaches by successfully reproducing standard vacuum test cases and achieving long-term stable evolutions of stationary black holes, including Kerr black holes with extreme spin.”

“Atomic-scale visualization of d-wave altermagnetism is the core achievement.”

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“The model's distinctive feature is the direct connection between the dark sector and leptogenesis, providing a unified explanation for both the matter-antimatter asymmetry and DM abundance.”

“The conductivity exhibits heavy-tailed fluctuations characterized by a power-law decay with exponent $α\approx 2.3$--$2.5$, indicating a finite mean but a divergent variance.”

“The cryogenics system with two cooling towers has achieved about 1900~W cooling power at 178~K.”

“The lower-porosity medium produces higher local and surface-averaged Nusselt numbers.”

“The paper proposes Bell-type inequalities as operator-level diagnostics of quantum incompatibility in particle-physics systems.”

“The paper outlines the influences in their mutual competition.”

“We demonstrate many-electron constructions with vanishing charge-2e sectors, but with sharp signatures in charge-4e or charge-6e expectation values instead.”

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“The paper reveals a tunable regime of ergodicity breaking due to quantum many-body scars, manifested as long-lived coherent oscillations that persist across a much broader range of parameters than previously observed, including at the equilibrium phase transition point.”

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“The likelihood can be expressed in terms of small subgraphs.”

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“The $πN$ sigma term $σ_{πN}$, which denotes the contribution of explicit symmetry breaking, should deviate from its empirical values at vacuum. Specifically, $σ_{πN}\sim -600$ MeV, rather than $(32-89) m \ MeV$ at vacuum.”

“The paper defines “axiomatic convergence” as a measurable reduction in inter-run and inter-model variability when generation is repeatedly performed under stable invariants and evaluation rules applied consistently across repeated trials.”

“The model yields classical analogues to de Broglie wavelength, the Einstein-Planck relation, the Born rule and the uncertainty principle.”

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“The DOPO network faithfully reproduces the quantum critical behavior of the XY model.”

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“The paper provides the explicit form of the resolvent in all possible regimes.”

“The paper highlights the scaling hypothesis for loop-length distributions, the emergence of critical exponents $τ=15/7$, $d_f=7/4$, and $σ=3/7$ in several universality classes.”