washburn_uniqueness_aczel

"Main Theorem. If ∆ is acute, φ has precisely three local maxima and three local minima. If ∆ is obtuse, then φ has either (i) three local maxima and three local minima, or (ii) four local maxima and four local minima."

"effectiveness, constraint alignment, coordination efficiency, and robustness"

"population metric decomposition that separates aggregate performance into temporal fidelity, spatial pattern accuracy, and magnitude-invariant alignment... pop_rate_r = Pearson(∑ y_i(t), ∑ ŷ_i(t)); spatial_r = (1/T) ∑ Pearson(y(t), ŷ(t)); cos_sim = (1/T) ∑ y·ŷ / (‖y‖ ‖ŷ‖)"

"time–capital misalignment hypothesis ... early trajectory misalignment between academic progress and system-imposed temporal constraints"

"The learning objective is therefore to construct p̂_θ(b|x), a well calibrated, uncertainty-aware beam prior conditioned on compact features x∈R^d"

"We begin with the characterization of quantum graphs as left ideals in M ⊗_eh M ... to avoid technicalities surrounding representation dependence"

"Metadata enrichment and hierarchy-aware chunking contributed more to accuracy than the conversion framework choice alone."

"pronounced ∼6-fold enhancement of room-temperature A-exciton emission in a type-I MoSe₂/PdSe₂ van der Waals heterostructure... interlayer electronic coupling that redistributes exciton populations"

"s=e+ϵ/ρ ... C(e,θ)=e/θ ... marginal benefit fρ(τ−e) single-peaked ... threshold ˆθ solving 1−Fρ(τ−0)=1−Fρ(τ−ê)−ê/θ"

"the resulting structure contains one supercharge that squares to spatial momentum, a mixed anticommutator that yields the Hamiltonian, and a nilpotent second supercharge"

"the low frequency spectrum can be described by a corrected soft waveform of displacement memory... ˜h∞(f)→iΔh/(2πf)e2πift∗"

"the forward map from correlation length D and texture-coherence parameter T to the attenuation and velocity observables remains structurally full rank. However, the sensitivity geometry is strongly anisotropic... variance-weighted Fisher framework"

"For each scanning spot, the functional region of the kicker along the longitudinal direction is dynamically adjusted based on real-time beam longitudinal line density measured by a beam current monitor. The corresponding region-determination algorithm is provided."

"The compact CRLB expressions derived in this work highlight the fundamental trade-offs between estimation accuracy and system parameters... V AR(ˆd)≥Γ·1/Δf²·1/(1/NA∑q q²−(1/NA∑q q)²)"

"λgnhn / (λng λnh) → [g+, h+, g−, h−] as n→+∞"

"the line element is given by [44]: ds²(g) = ... with X=ξb² ... photon sphere radius ... identical to that of the Kerr metric (eq. 16)"

"Fermi’s golden rule (FGR) is the simplest but most widely used theory for calculating rates of quantum transitions... kF,j→f = 2π/ℏ |⟨ψf | Ĥc|ψj⟩|^2 δ(Ej − Ef)"

"The twin group Tn ... far commutation relations ... virtual twin group VTn ... multi-virtual twin group MkVTn"

"SPOT has the following three axioms... T(Transfer)... O(Nontriviality)... SP(Standard Part)"

"a deep student network with almost 10.4 times less parameters outperforms a larger, state-of-the-art teacher network"

"mdimmo(X,d,f) = lim sup ε→0+ log+ (lim sup n→∞ (1/n) log S(X,n,ε)) / |log ε|; variational principle mdimmo = max μ∈Pf(X) mdimmo(X,d,f,μ) with equilibrium states always exist"

"multi-face readout topology, utilizing low-capacitance 4-series (4S) SiPM modules coupled to four faces of the scintillator, achieves an excellent coincidence time resolution of approximately 68 ps"

"We perform simulations containing 10,000 objects with varying binary fractions and initial bulk rotation... propose two semianalytical models... exponential model... broken power-law model"

"GEANT4 simulation of muon tracks... analytical estimation of angular-frequency-differential synchrotron radiation power spectra... Eq. (2)–(4) with Bessel Jn"

"We introduce a novel cooperative agent framework, role-playing, that allows communicative agents to collaborate autonomously toward completing tasks"

"The approach transforms low-resolution ensemble forecasts into high-resolution ensembles by learning the conditional distribution of finer-scale residuals... diffusion model... EDM sampler"

"Efficient modeling paradigms, efficient network architectures, and efficient inference algorithms"

"Coarse-graining the model yields a continuum description with no adjustable parameters... ∇²p(r,t) = 1/χ² (p(r,t) − p_c)"

"We explore 15 competing RV models that differ in their treatment of correlated stellar variability (through different Gaussian Process kernels) and long-term drifts. ... From the evidence-weighted posterior samples we derive a planetary mass of 2.27 ± 0.23 M⊕"

"leading derangement equation together with its first-order companion"