22,983 research outputs found
q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers
We introduce, characterise and provide a combinatorial interpretation for the so-called q-Jacobi–Stirling numbers.
This study is motivated by their key role in the (reciprocal) expansion of any power of a second order
q-differential operator having the q-classical polynomials as eigenfunctions in terms of other even order operators,
which we explicitly construct in this work. The results here obtained can be viewed as the q-version of
those given by Everitt et al. and by the first author, whilst the combinatorics of this new set of numbers is a
q-version of the Jacobi–Stirling numbers given by Gelineau and the second author
Understanding the dynamics of teaching styles and need satisfaction in the Chinese educational context
The current study aimed at assessing the peculiarities of the relationships among perceived (de)motivating teaching styles and students need satisfaction/frustration in the Chinese context. A total of 1715 middle and high school students filled in measures of self-reported and perceived adoption of (de)motivating styles and need satisfaction/frustration. The results confirmed the positive relationship between perceived motivating teaching styles and students need satisfaction, as well as perceived demotivating teaching styles and students need frustration. Moreover, students need satisfaction was positively associated with their perception of a controlling teaching style. Theoretical and practical implications are discussed
Supplementary material - Supplemental material for Exploring Chemical Structures From Cortex Lycii, Based on Manual and Automatic Analysis of the HPLC-Q-TOF-MS Data
Supplemental material, Supplementary material, for Exploring Chemical Structures From Cortex Lycii, Based on Manual and Automatic Analysis of the HPLC-Q-TOF-MS Data by Zhi-Bo Jiang, Yong-Xin Chen, Jing-Zhi Chen, Xing Lu, Xin Guo, Bing-Zhen Ma, Chong-Long Li, Xuan Fang, Yong-Hong Tang and Xiao-Li Ma in Natural Product Communications</p
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Network Q
A press release from Network Q announcing that they will begin featuring Brian McNaught, a gay columnist and author, for a monthly segment
Network Q
A press release from Network Q announcing that they will begin featuring Brian McNaught, a gay columnist and author, for a monthly segment
Tobin's Q and Financial Policy
Recent research in macroeconomics has emphasized the importance of linking the financial and real sectors and the need for working with optimizing models. Tobin’s Q model of investment would appear to provide a framework that can satisfy these two criteria. In contrast to the original presentation of the Q model, the formal development has not recognized that the firm actively participates in a number of financial markets; in this broader context, we show that Q is likely to be an uninformative and possibly misleading signal for investment expenditures . We then endeavor to turn this negative theoretical result to positive advantage in resolving a number of empirical problems with Q models, but the modifications dictated by the theory receive little support from the data.
A theoretical solution of a water- spherical shell-damping layer interaction system for underwater noise reductions
Based on a fluid-structure interaction analysis (FSIA), the theoretical solution is developed for an integrated spherical shell-damping layer-water interaction system subjected to an internal sinusoidal pressure excitation. The effect of damping layer on reducing underwater noises is investigated. The pressure reduction factor is defined to measure the efficiency of noise reduction by the damping layer. Some guidelines to design effective damping layers to reduce underwater noise prolusions are suggested
A power flow mode theory based on a system's damping distribution and power flow design approaches
A power flow mode theory is developed to describe the natural power flow behaviour of a dynamic system based on its inherent damping distribution. The system's characteristic-damping matrix is constructed and it is shown that the eigenvalues and eigenvectors of this matrix identify natural power flow characteristics. These eigenvectors, or power flow mode vectors, are chosen as a set of base-vectors spanning the power flow space and completely describe the power flow in the system. The generalized coordinate of the velocity vector decomposed in this space defines the power flow response vector. A time-averaged power flow expression and theorems relating to its estimation are presented.Based on this theory, power flow design approaches are proposed to identify energy flow patterns satisfying vibration control requirements. The mode control factor defines the measure of the correlation between a power flow mode and a natural vibration mode of the system. Power flow design theorems are presented providing guidelines to construct damping distributions maximizing power dissipation or to suppress/retain a particular vibration mode and/or a motion.The developed damping-based power flow mode theory is compared with a mobility-based power flow model. It is shown that the proposed power flow model provides insight into the power flow dissipation mechanisms in dynamic systems.Examples are presented to demonstrate the applicability of the power flow mode theory and the power flow design approach. These examples demonstrate the generality of the theory, including non-symmetric damping matrices, and illustrate power flow design applications through modifications of the system's damping distribution using passive and/or active control components
Time-resolved polarization to extract coded information from early ballistic and snake signals through turbid media
Motivating and demotivating teaching styles: A comparison among planned, adopted, and perceived
Grounded in Self-Determination Theory (SDT), this study aimed at comparing autonomy-supportive (e.g., the teacher allows students to choose a project they are interested in from several options), structuring (e.g., the teacher breaks down problem-solving steps into manageable parts to help students understand), controlling (e.g., the teacher strictly enforces classroom rules and punishes non-compliance), and chaotic (e.g., despite some students being disruptive in class, the teacher does not intervene) planned, adopted, and student-perceived (de)motivating teaching styles. A mixed method was adopted by involving 20 secondary school teachers and their 38 students in focus group interviews and in filling in a measure of (de)motivating teaching styles. While the questionnaire data did not reveal significant differences, the focus group interviews uncovered noteworthy distinctions. The data from focus group interviews with teachers and students revealed that the proportion of teachers adopting a controlling teaching style is higher than those who had initially planned to use this style. Simultaneously, the proportion of teachers adopting a controlling style is lower than the proportion of students perceiving this style. Thematic analysis of data gathered from focus group interviews with teachers identified five main themes influencing teachers’ adoption of teaching styles: “teacher factors”, “school factors”, “student factors”, “management and relationships”, and “teaching methods and design”. Overall, this study provides a more comprehensive understanding of (de)motivating teaching styles in China. Educational implications are discussed
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