“Our approach relies on a unified formulation of the distance from a point to a hyperplane on the considered spaces.”

“The paper derives explicit expressions for the joint Laplace-Stieltjes transform, probability density function, and governing differential equations of the multivariate gamma subordinator.”

“The paper provides an analytical expression of the Lyapounov as a function of energy in the presence of both diagonal and off-diagonal disorder.”

“Any proper species sampling process can be written, at the prior level, as a finite mixture with a latent truncation variable and reweighted atoms, while preserving its distributional features exactly.”

“The study finds that the GPA does not generally hold for these systems under moderate experimental conditions.”

“The paper formulates a gauge-invariant expression for the orbital magnetic octupole moment and links it to a higher-rank Hall response induced by spatially nonuniform electric fields.”

“The paper defines squeezed cobosons as eigenstates of a Bogoliubov transformed coboson operator and derives explicit expressions for the associated quadrature variances.”

“The adder property is preserved despite changes in growth dynamics, emphasizing that the reduction in size variability is a consequence of the growth law rather than simple scaling with mean size.”

“By working through the backward pass manually, we gain a deeper intuition for how each operation influences the final output.”

“The paper provides new Nahm-sum-like expressions for the characters of Virasoro minimal models and other related rational conformal field theories.”

“The paper derives SINR expressions and a closed-form uplink SE expression, and proposes an alternating-optimization framework to select FA port configurations that maximize the uplink sum SE.”

“The paper derives a closed-form expression for the system reliability of a 1-out-of-n cold standby redundant system.”

“The leading order of the solution takes the form of a modulated multisoliton. Apart from the error term, we also discover that the defocusing Manakov system has a dispersive correction term of order $t^{-1/2}$, but this term does not exist in the scalar case...”

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