absolute_floor_iff_bare_distinguishability

"The sesquilinear form a satisfies boundedness and Gårding’s inequality; well-posedness via Cap(k)."

"adversarial autoencoders... LEnc = MSE(x, x̂) − β MSE(p, p̂)... f disentangles p from the other features"

"We will motivate the use of marginal homogeneity tests, as well as log linear models within the framework of maximum likelihood estimation"

"the Lagrangian formalism of Helgaker for analytical derivatives of approximate wavefunctions"

"The functions b,h,σ and β are Lipschitz in (x,y,z,k) ... W₂(ν,ν′)"

"properties describing the same physical quantity, but belonging to different measurement contexts, are indistinguishable in a strong sense... quasi-set theory, which is a set-theoretical framework built to describe collections of elements that violate Leibnitz’s principle of identity of indiscernibles"

"For r = 3, the problem is W[2]-hard for general graphs but in FPT for nowhere dense classes and it admits a linear kernel for bounded expansion classes."

"No mention of reciprocal cost, golden-ratio identities, or parameter-free constant derivation"

"the equivalence of inertial frames under the constancy of the speed of light is mathematically infeasible. If two velocities are non-collinear, the Mocanu paradox... is caused"

"We use a simple analytical test case to validate our model... The simulated electric potential... fits perfectly to the analytical solution."

"rank(X) = 1 ⇔ Tr(X)−∥X∥₂ = 0"

"Vmf(g|θ,κ)=Cd(κ)exp(κθ^T g) ... posterior p(gt+1|xt+1) via VMF update rules"

"stress-driven nonlocal integral theory recently proposed by G. Romano and R. Barretta"

"excitons are first defined in the subspace of electron- and hole states, including the lowest conduction band (LCB) and the uppermost valence band (UVB). Both bands are spin degenerate at the Gamma-point. All other states are neglected."

"independent optical paths for (i) the illumination and imaging of Newton's Rings and (ii) Raman-mode excitation"

"Assumption 1... f and g_ξ Lipschitz and smooth... LF = ℓ_g² Lf + ℓf Lg"

"Assumptions (H1)–(H3) on the orthogonal decomposition H = E_ℓ ⊥ F_ℓ with A-invariant subspaces and exponential stability on F_ℓ"

"The identification of the complex Euclidean group with the complex Poincaré group relates the infinitesimal generators"

"secure encoding ˜An = sum Ai x^{i-1} + R x^{K-1} (MDS polynomial sharing)"

"The only way to influence the RL values then is for all producers to collaborate with each other and also with a group of miners."

"We assume a setting where a learning agent coexists with other independent agents (who receive unknown rewards), where some types of reward (e.g. negative rewards from physical harm) may generalize across agents."

"the proposed latent multi-criteria rating approach outperforms several baselines significantly and consistently"

"sidekick policy learning, which exploits the asymmetry in observability between training and test time"

"It is shown that, with high probability, the solution for Ĥ=0 favors collapse toward eigenstates of the scalar field whose eigenvalues are close to ∼χi(x)."

"The calibration procedure works under the assumption that the similarity of the normal distributions... diverges as sensor coverage... changes."

"the system completely recombines in the equilibrium approximation on long time scales, which does not occur in reality"

"A heap graph is a directed connected simple graph... must be pointed by at least one variable from the local stack"

"incompressibility estimate... ρF ≤ B/(2πℓ) (1+oN(1))"

"we demonstrate that lumping can be used to reduce any epidemic model to a Markov Population Model (MPM). Therefore, we propose a novel lumping scheme based on a partitioning of the nodes. By imposing different types of counting abstractions..."

"As product of two valid covariances, K is a valid covariance (see Schur product theorem in Zhang [16])."