We review the theory of polarized structure functions measured in deep-inelastic lepton-nucleon scattering, focusing on the most recent developments. We concentrate on the structure function g1, emphasizing the phenomenological problems related to the extraction of the proton and neutron g1(x,Q ) from the data, and to the determination of its moments, especially the first moment. In particular,...

We introduce three novel semi-parametric extensions of probabilistic canonical correlation analysis with identifiability guarantees. We consider moment matching techniques for estimation in these models. For that, by drawing explicit links between the new models and a discrete version of independent component analysis (DICA), we first extend the DICA cumulant tensors to the new discrete version...

A Coulomb sum rule is derived for the response of nuclei to (e, e ′) scattering with large three-momentum transfers. Unlike the nonrelativistic formulation, the relativistic Coulomb sum is restricted to spacelike four-momenta for the most direct connection with experiments; an immediate consequence is that excitations involving antinucleons, e.g., N ¯ N pair production, are approximately elimin...

We propose a new approach for deriving probabilistic inequalities based on bounding likelihood ratios. We demonstrate that this approach is more general and powerful than the classical method frequently used for deriving concentration inequalities such as Chernoff bounds. We discover that the proposed approach is inherently related to statistical concepts such as monotone likelihood ratio, maxi...

the question of whether architectural creativity is more of an artistic or engineering nature is one with a long history but also one with no conclusive answer. the art camp would argue that technology should be treated as a means towards and end, and that technology alone cannot give meaning to our lives. the engineering camp on the other hand would argue that good problem-solving results in b...

This paper focuses on investigating the structural behavior of members and connections that are part moment frames under combined effect bending thermally induced axial force during a compartment-fire event. The finite-element analysis method was employed to conduct this study using models benchmarked against experimental data from several past studies while utilizing temperature-dependent mate...

Caring and nursing are so intertwined that nursing always appeared on the same page in a Google search for the definition of caring. Caring is “a feeling and exhibiting concern and empathy for others; showing or having compassion” (The Free Dictionary, 2002, para. 2). As these definitions show, caring is a feeling that also requires an action. Dr. Jean Watson’s caring theory is well known in nu...

Extended single-plate shear connections (Figure 1) offer many advantages that simplify the construction process. Because the connection to the supported member is moved clear of the support, coping of the supported member is not required and the only fabrication process required for the supported member is drilling or punching. Also, because bolted connections are only used in the connection to...

Let y ≡ y(2d) = {yi}i∈Zn+ ,|i|62d denote a real n-dimensional multisequence of degree 2d, y0 > 0. Let Ly : R2d[x1, . . . , xn] 7→ R denote the Riesz functional, defined by Ly(∑|i|62d aix i) = ∑ aiyi, and let Md(y) denote the corresponding moment matrix. Positivity of Ly plays a significant role in the Truncated Moment Problem and in the Polynomial Optimization Problem, but concrete conditions f...

Abstract Currently, many buildings are constructed with precast concrete methods. However, they still use the cast in-situ method, especially for beam and column connection system where there some obstacles in casting process possibility of installing reinforcement bars on site not following design. Hence, is potential structural failure that part connection. To reduce constraints, it proposed ...