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We study the problem of testing whether a function f:ℝⁿ → ℝ is linear (i.e., both additive and homogeneous) in the distribution-free property testing model, where the distance between functions is measured with respect to an unknown probability distribution over ℝⁿ. We show that, given query access to f, sampling access to the unknown distribution as well as the standard Gaussian, and ε > 0, we ca

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We introduce and develop a new semi-algebraic proof system, called Stabbing Planes that is in the style of DPLL-based modern SAT solvers. As with DPLL, there is only one rule: the current polytope can be subdivided by branching on an inequality and its "integer negation." That is, we can (nondeterministically choose) a hyperplane a x >= b with integer coefficients, which partitions the polytope in

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We study the computational complexity of the Viterbi alignment and relaxed decoding problems for IBM model 3, focusing on the problem of finding a solution which has significant overlap with an optimal. That is, an approximate solution is considered good if it looks like some optimal solution with a few mistakes, where mistakes can be wrong values (such as a word aligned incorrectly or a wrong wor

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The transition to a circular economy has placed growing pressure on packaging systems to enable effective material recovery across increasingly complex waste and recycling infrastructures. Focus on aggregate recycling rates obscure the stage-­ specific inefficiencies that determine whether packaging material re-­ enters production, making it difficult to target packaging design efforts, infrastruc

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The shift toward smart grids encourages businesses to adapt their operations to ensure long-term sustainability by integrating energy storage systems (ESS). Innovation is crucial for entering new markets and providing a competitive advantage. Therefore, this research focuses on variables impacting business model innovation in the grid to improve the performance of the energy storage market (ESM).

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Marketing intelligence implies the application of advanced and digital technologies in making strategic marketing decisions. The objective of the research is to analyze the impact of marketing intelligence, organizational-centered strategic and tactical decision-making on customer satisfaction and loyalty. The study collected responses from 366 industry professionals holding key strategic, tactica

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Methane (CH₄) and carbon dioxide (CO₂) emissions from northern peatlands areimportant components of the global greenhouse gas (GHG) balance and are highlysensitive to climate change and permafrost degradation. This thesis investigatesspatial and temporal patterns of GHG fluxes across peatland ecosystems, with aparticular focus on the environmental controls regulating CH₄ and CO₂ exchange.Field mea

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OBJECTIVES: Improving treatment outcomes for comorbid chronic pain and posttraumatic stress disorder (PTSD) requires a better understanding of how these conditions interact.METHODS: This study examined the co-occurrence and interrelations of PTSD symptoms and chronic pain in a trauma-exposed sample recruited from the Pain Rehabilitation Unit at Skåne University Hospital, Sweden. Using a network an

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Spectroscopic validation of the roaming process in molecular dissociation was first reported for formaldehyde, but today roaming is acknowledged to be a nearly ubiquitous dissociation pathway. The process has been described as a frustrated dissociation process, and as such, direct detection of the roaming process is challenging. In the present study the cyclopropane dication is the starting point

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PURPOSE: The gut microbiome has gained increasing recognition as an important factor influencing cancer treatment efficacy and toxicity. However, translation of this knowledge to deliver clinical benefit has been hampered by inconsistent approaches to both biospecimen sampling and investigation of microbial-based interventions, potentially reflecting inherent biases and/or barriers across research