Search results for "Dimension"
showing 10 items of 2766 documents
Cross validation of hard-copy and web-based formats of the Sport Imagery Ability Measure
2018
The purpose of this multi-sample study was to examine the psychometric characteristics, factor structure, and measurement invariance of the hard-copy and web-based versions of a measure of sport imagery ability, termed Sport Imagery Ability Measure (SIAM). In the first sample, Spanish athletes (N = 274, 161 men, 113 women, Mage = 21.91, SD = 6.67) completed a hard-copy version of the SIAM. A newly developed web-based version of the SIAM was cross validated in an independent group (N = 266, 147 men, 119 women, Mage = 25.93, SD = 9.84). A small group of participants (n = 16) completed both versions. Exploratory structural equation modelling and confirmatory factor analysis of the data from th…
Use of ethnic humor in modern stand-up comedy
2012
On arithmetic sums of Ahlfors-regular sets
2021
Let $A,B \subset \mathbb{R}$ be closed Ahlfors-regular sets with dimensions $\dim_{\mathrm{H}} A =: \alpha$ and $\dim_{\mathrm{H}} B =: \beta$. I prove that $$\dim_{\mathrm{H}} [A + \theta B] \geq \alpha + \beta \cdot \tfrac{1 - \alpha}{2 - \alpha}$$ for all $\theta \in \mathbb{R} \, \setminus \, E$, where $\dim_{\mathrm{H}} E = 0$.
Supervarieties and *-varieties of algebras of polynomial growth
2008
We study the sequence of supercodimensions and *-codimensions of unitary algebras.
Quantum fluctuations in superconducting nanostructures
2014
Modern nanofabrication technology enableTfabrication of very narrow quasi-1-dimensional superconducting nanowires demonstrating finite resistivity within the range of experimentally obtainable temperatures. The observations were reported in ∼10 nm nanowires of certain superconducting materials. The effect has been associated with quantum phase slip process - the particular manifestation of quantum fluctuations of the order p arameter. In titanium, the phenomenon can be observed already at dimensions ∼35 nm where the fabrication is well reproducible and the dimensions of samples can be characterized with high accuracy. We have performed systematic study of the size dependence of transport pr…
The Supranational Dimension in Max Weber’s Vision of Politics
2019
Max Weber analyzed politics from the perspective of Chancen for actors, and he never separated world politics from domestic politics. The “Westphalian balance” between great European powers shaped Weber’s views on international polity. However, he also regarded Western individualism, human rights, and parliamentary democracy as necessary qualities to possess in order to be recognized as a great power. This vision provided the basis for his wartime critique of the expansionist tendencies in German foreign policy and for his demand for the parliamentarization of German politics. After the end of World War I, Weber used Woodrow Wilson’s idea of the League of Nations as the basis for a proposal…
On the spectrum of semi-classical Witten-Laplacians and Schrödinger operators in large dimension
2005
We investigate the low-lying spectrum of Witten–Laplacians on forms of arbitrary degree in the semi-classical limit and uniformly in the space dimension. We show that under suitable assumptions implying that the phase function has a unique local minimum one obtains a number of clusters of discrete eigenvalues at the bottom of the spectrum. Moreover, we are able to count the number of eigenvalues in each cluster. We apply our results to certain sequences of Schrodinger operators having strictly convex potentials and show that some well-known results of semi-classical analysis hold also uniformly in the dimension.
Special Functions for the Study of Economic Dynamics: The Case of the Lucas-Uzawa Model
2004
The special functions are intensively used in mathematical physics to solve differential systems. We argue that they should be most useful in economic dynamics, notably in the assessment of the transition dynamics of endogenous growth models. We illustrate our argument on the Lucas-Uzawa model, which we solve by the means of Gaussian hypergeometric functions. We show how the use of Gaussian hypergeometric functions allows for an explicit representation of the equilibrium dynamics of the variables in level. In contrast to the preexisting approaches, our method is global and does not rely on dimension reduction.
Random Walk and Diffusion
2014
The concept of random walk as introduced by Einstein is introduced. It is shown that a random walk on a lattice can be descrbed by a difference equation, which becomes a partial differential equation (diffusion equation) in the continuum limit. The equation is solved with the help of Fourier and Laplace transformations.
Spectral Asymptotics for More General Operators in One Dimension
2019
In this chapter, we generalize the results of Chap. 3. The results and the main ideas are close, but not identical, to the ones of Hager (Ann Henri Poincare 7(6):1035–1064, 2006). We will use some h-pseudodifferential machinery, see for instance Dimassi and Sjostrand (Spectral Asymptotics in the Semi-classical Limit, London Mathematical Society Lecture Note Series, vol 268. Cambridge University Press, Cambridge, 1999).