HERA-B Framework for Online Calibration and Alignment

This paper describes the architecture and implementation of the HERA-B framework for online calibration and alignment. At HERA-B the performance of all trigger levels, including the online reconstruction, strongly depends on using the appropriate calibration and alignment constants, which might change during data taking. A system to monitor, recompute and distribute those constants to online processes has been integrated in the data acquisition and trigger systems.Comment: Submitted to NIM A. 4 figures, 15 page

Организационно-методологические основы системы психологической реабилитации в контексте концепции «Внутренней картины инвалидности»

The article brings forward the results of the study continuing a series ofscientific elaborations of the construct of the internal picture of disability. The purpose of this series is to improve rehabilitation approaches by means of rising the adherence to rehabilitation within the psychological paradigm and the rehabilitation context as a whole.This paper summarizes the results of the study of personal, adaptive reactions of patients to a situation of disabling diseases on account of socioeconomic and physiological consequences of the disease. Patients with the main disabling pathologies (n = 510), forming a leading position in the structure of disability of the Russian Federation, took part in the study. Statistical processing of the complex of psychological parameters made it possible to assess the structure of psychologicalprocessing of a situation of disabling diseases in patients in the context of a rehabilitation willingness to cope with the arising effects of the disease. The study reveals the specificity of rehabilitation activities, which is characterized by varying degrees of inclusion of psychological resources depending on the degree of frustration. Minor frustration is mainly characterized by a psychological fixation on the disease; its further growth potentiates the patient to a greater variability ofadaptive behavior with the shift of responding from the focus of negative effects of the disease to personal self-determination, reflection of personal values and senses. A high degree of frustration blocks the rehabilitation activity; it is shown in a “chaotic” character of reactions with a retreat from a reflective component into predominance of non-adaptive “emotional” strategies. The study reveals major rehabilitation “markers” which characterize personal rehabilitation potential andrehabilitation prognosis for the effective formation of the individual program of rehabilitation of patients.The authors offer the model of the system of psychological rehabilitation in the context of the concept of the internal picture of disability and reveal its organizational, procedural, and methodological aspects. They also state objectives, principles, conditions, criteria of an effective rehabilitation outcome, sequence of rehabilitation activities, and existing problems in the effective implementation of rehabilitation of patients at various stages of The article brings forward the results of the study continuing a series of scientific elaborations of the construct of the internal picture of disability. The purpose of this series is to improve rehabilitation approaches by means of rising the adherence to rehabilitation within the psychological paradigm and the rehabilitation context as a whole. This paper summarizes the results of the study of personal, adaptive reactions of patients to a situation of disabling diseases on account of socioeconomic and physiological consequences of the disease. Patients with the main disabling pathologies (n = 510), forming a leading position in the structure of disability of theRussian Federation, took part in the study. Statistical processing of the complex of psychological parameters made it possible to assess the structure of psychological processing of a situation of disabling diseases in patients in the context of a rehabilitation willingness to cope with the arising effects of the disease. The study reveals the specificity of rehabilitation activities, which is characterized by varying degrees of inclusion of psychological resources depending on the degreeof frustration. Minor frustration is mainly characterized by a psychological fixation on the disease; its further growth potentiates the patient to a greater variability of adaptive behavior with the shift of responding from the focus of negative effects of the disease to personal self-determination, reflection of personal values andsenses. A high degree of frustration blocks the rehabilitation activity; it is shown in a “chaotic” character of reactions with a retreat from a reflective component into predominance of non-adaptive “emotional” strategies. The study reveals major rehabilitation “markers” which characterize personal rehabilitation potential and rehabilitation prognosis for the effective formation of the individual program ofrehabilitation of patients. The authors offer the model of the system of psychological rehabilitation in the context of the concept of the internal picture of disability and reveal its organizational, procedural, and methodological aspects. They also state objectives, principles, conditions, criteria of an effective rehabilitation outcome, sequence of rehabilitation activities, and existing problems in the effective implementation of rehabilitation of patients at various stages of the disease (before disablement, being registered as a disabled person, and after disablement), including possible practices for improving efficiency of psychological rehabilitation of patients.В статье представлены результаты исследования, продолжающего серию научных разработок конструкта «Внутренняя картина инвалидности», целью которых является совершенствование реабилитационных подходов в плане повышения приверженности к реабилитации в рамках психологической парадигмы и реабилитационном контексте в целом. В статье обобщены результаты исследования личностной, адапта- ционной реакции больных на ситуацию инвалидизирующего заболевания вследствие социально-экономических и психофизиологических последствий болезни. В исследовании принимали участие больные основных инвалидизирующих патологий (n = 510), формирующих ведущие позиции в структуре инвалидности Российской Федерации. Статистическая обработка совокуп- ности психологических параметров позволила оценить структуру психоло- гической переработки больным ситуации инвалидизирующего заболевания в контексте реабилитационной готовности к преодолению возникающих последствий болезни. Исследование выявило специфику реабилитационной активности, которая характеризуется различной степенью включенности психологических ресурсов в зависимости от степени фрустрации. Незначительная фрустрация характеризуется в большей степени психологической фиксацией на болезни, далее нарастание фрустрации потенцирует больного к большей вариативности адаптационного поведения со смещением реагирования с фокуса негативных последствий заболевания к личностному самоопределению, рефлексии личностных ценностей и смыслов. Выраженная степень  фрустрации  блокирует  реабилитационную  активность, проявляясь «хаотичным» характером реакций с уходом от рефлексивного компонента в преобладание дезадаптивных «эмоциональных» стратегий. Исследование выявило основные реабилитационные «маркеры», характеризующие личностный реабилитационный потенциал и реабилитационный прогноз для эффективного формирования индивидуальной программы реабилитации больных. Предложена модель системы психологической реабилитации в кон- тексте концепции «Внутренней картины инвалидности», раскрыты ее организационные и процессуально-методологические аспекты, с указанием целей, принципов, условий, критериев эффективного реабилитационного исхода, последовательности проведения реабилитационных мероприятий и существующих проблем в эффективной реализации реабилитации больных на различных этапах заболевания (до инвалидизации, в процессе пребывания на инвалидности и после ее утраты), с указанием возможных практик повышения эффективности психологической реабилитации больных

Manin matrices and Talalaev's formula

We study special class of matrices with noncommutative entries and demonstrate their various applications in integrable systems theory. They appeared in Yu. Manin's works in 87-92 as linear homomorphisms between polynomial rings; more explicitly they read: 1) elements in the same column commute; 2) commutators of the cross terms are equal: $[M_{ij}, M_{kl}]=[M_{kj}, M_{il}]$ (e.g. $[M_{11}, M_{22}]=[M_{21}, M_{12}]$). We claim that such matrices behave almost as well as matrices with commutative elements. Namely theorems of linear algebra (e.g., a natural definition of the determinant, the Cayley-Hamilton theorem, the Newton identities and so on and so forth) holds true for them. On the other hand, we remark that such matrices are somewhat ubiquitous in the theory of quantum integrability. For instance, Manin matrices (and their q-analogs) include matrices satisfying the Yang-Baxter relation "RTT=TTR" and the so--called Cartier-Foata matrices. Also, they enter Talalaev's hep-th/0404153 remarkable formulas: $det(\partial_z-L_{Gaudin}(z))$, det(1-e^{-\p}T_{Yangian}(z)) for the "quantum spectral curve", etc. We show that theorems of linear algebra, after being established for such matrices, have various applications to quantum integrable systems and Lie algebras, e.g in the construction of new generators in $Z(U(\hat{gl_n}))$ (and, in general, in the construction of quantum conservation laws), in the Knizhnik-Zamolodchikov equation, and in the problem of Wick ordering. We also discuss applications to the separation of variables problem, new Capelli identities and the Langlands correspondence.Comment: 40 pages, V2: exposition reorganized, some proofs added, misprints e.g. in Newton id-s fixed, normal ordering convention turned to standard one, refs. adde

Rigidity and volume preserving deformation on degenerate simplices

Given a degenerate $(n+1)$-simplex in a $d$-dimensional space $M^d$ (Euclidean, spherical or hyperbolic space, and $d\geq n$), for each $k$, $1\leq k\leq n$, Radon's theorem induces a partition of the set of $k$-faces into two subsets. We prove that if the vertices of the simplex vary smoothly in $M^d$ for $d=n$, and the volumes of $k$-faces in one subset are constrained only to decrease while in the other subset only to increase, then any sufficiently small motion must preserve the volumes of all $k$-faces; and this property still holds in $M^d$ for $d\geq n+1$ if an invariant $c_{k-1}(\alpha^{k-1})$ of the degenerate simplex has the desired sign. This answers a question posed by the author, and the proof relies on an invariant $c_k(\omega)$ we discovered for any $k$-stress $\omega$ on a cell complex in $M^d$. We introduce a characteristic polynomial of the degenerate simplex by defining $f(x)=\sum_{i=0}^{n+1}(-1)^{i}c_i(\alpha^i)x^{n+1-i}$, and prove that the roots of $f(x)$ are real for the Euclidean case. Some evidence suggests the same conjecture for the hyperbolic case.Comment: 27 pages, 2 figures. To appear in Discrete & Computational Geometr

Feigin-Frenkel center in types B, C and D

For each simple Lie algebra g consider the corresponding affine vertex algebra V_{crit}(g) at the critical level. The center of this vertex algebra is a commutative associative algebra whose structure was described by a remarkable theorem of Feigin and Frenkel about two decades ago. However, only recently simple formulas for the generators of the center were found for the Lie algebras of type A following Talalaev's discovery of explicit higher Gaudin Hamiltonians. We give explicit formulas for generators of the centers of the affine vertex algebras V_{crit}(g) associated with the simple Lie algebras g of types B, C and D. The construction relies on the Schur-Weyl duality involving the Brauer algebra, and the generators are expressed as weighted traces over tensor spaces and, equivalently, as traces over the spaces of singular vectors for the action of the Lie algebra sl_2 in the context of Howe duality. This leads to explicit constructions of commutative subalgebras of the universal enveloping algebras U(g[t]) and U(g), and to higher order Hamiltonians in the Gaudin model associated with each Lie algebra g. We also introduce analogues of the Bethe subalgebras of the Yangians Y(g) and show that their graded images coincide with the respective commutative subalgebras of U(g[t]).Comment: 29 pages, constructions of Pfaffian-type Sugawara operators and commutative subalgebras in universal enveloping algebras are adde

A quantum isomonodromy equation and its application to N=2 SU(N) gauge theories

We give an explicit differential equation which is expected to determine the instanton partition function in the presence of the full surface operator in N=2 SU(N) gauge theory. The differential equation arises as a quantization of a certain Hamiltonian system of isomonodromy type discovered by Fuji, Suzuki and Tsuda.Comment: 15 pages, v2: typos corrected and references added, v3: discussion, appendix and references adde