Search results for "Mathematica"
showing 10 items of 7971 documents
An Inverse Problem for the Relativistic Boltzmann Equation
2020
We consider an inverse problem for the Boltzmann equation on a globally hyperbolic Lorentzian spacetime $(M,g)$ with an unknown metric $g$. We consider measurements done in a neighbourhood $V\subset M$ of a timelike path $\mu$ that connects a point $x^-$ to a point $x^+$. The measurements are modelled by a source-to-solution map, which maps a source supported in $V$ to the restriction of the solution to the Boltzmann equation to the set $V$. We show that the source-to-solution map uniquely determines the Lorentzian spacetime, up to an isometry, in the set $I^+(x^-)\cap I^-(x^+)\subset M$. The set $I^+(x^-)\cap I^-(x^+)$ is the intersection of the future of the point $x^-$ and the past of th…
New Capabilities of the FLUKA Multi-Purpose Code
2022
We would like to deeply thank the CERN Knowledge Transfer and Legal Service teams for their essential and extended support. Our appreciation also goes to the FLUKA.CERN Collaboration Board members for their strong commitment.
A blow-up result for a nonlinear wave equation on manifolds: the critical case
2021
We consider a inhomogeneous semilinear wave equation on a noncompact complete Riemannian manifold (Formula presented.) of dimension (Formula presented.), without boundary. The reaction exhibits the combined effects of a critical term and of a forcing term. Using a rescaled test function argument together with appropriate estimates, we show that the equation admits no global solution. Moreover, in the special case when (Formula presented.), our result improves the existing literature. Namely, our main result is valid without assuming that the initial values are compactly supported.
Modelling of rotations by using matrix solutions of nonlinear wave equations
2007
A family of matrix solutions of nonlinear wave equations is extended and its application to modelling is given. It is shown that a similarity transformation, induced by the matrix solution, is equivalent to the rotation. Matrix solutions are used for modelling helical motions and vortex rings, simultaneous rotations and particles collision, mapping contraction and pulsating spheres. Geometrical interpretation of the doubling of rotation angle in each step of sequential mapping contraction is given. First Published Online: 14 Oct 2010
Mathematical tools in a digital world
2012
There are many vantage points from which to gain a perspective on digital culture. The intersection of mathematics and mathematical tools with all things digital is one such vantage point. This implies an inspection of mathematical software. The broad lines that can be taken are the practice, education and application of mathematics. This thesis focuses on practice and application, disregarding education. With regards the former it is shown how the practice of mathematics itself has been affected by the increasingly pervasive computational nature of our world. From visualisation to theorem proving no area has been untouched. I programmed a subset of the fractal universe, L-Systems, into the…
A meta-analysis of the relation between RAN and mathematics.
2017
Several studies have shown that rapid automatized naming (RAN) is a significant predictor of mathematics, but the nature of their relationship remains elusive. Thus, the purpose of this meta-analysis was to estimate the size of their relationship and determine the conditions under which they correlate. We used a random-effects model analysis of data from 38 studies (33 unique samples, 151 correlations, 7,135 participants) to examine the size of the RAN–mathematics relationship and the role of different moderators (i.e., math measure and variable, type of RAN task, math age, study design, and sample characteristics). The results showed a significant correlation between RAN and mathematics (r…
Vecākā pirmsskolas vecuma bērnu matemātisko prasmju pilnveides iespējas pastaigā
2017
Kvalifikācijas darbs “Vecākā pirmsskolas vecuma bērnu matemātisko prasmju pilnveides iespējas pastaigās” ir izstrādāts Pirmā līmeņa profesionālās augstākās izglītības studiju programmas “Pirmsskolas izglītības skolotājs” ietvaros ar mērķi pētīt vecākā pirmsskolas vecuma bērnu matemātikas prasmju pilnveides iespējas pastaigās, kā arī izstrādāt ieteikumus skolotājiem vecākā pirmsskolas vecuma bērnu matemātikas prasmju pilnveidei pastaigu laikā. Kvalifikācijas darba autore ir Daira Egle. Darba vadītāja ir Dr. paed. Maruta Sīle. Darba aktualitāte saistīta ar bērnu interesi un zinātkāri rosinošas vides trūkumu, lai aktivētu agrīnu interesi par eksaktajiem priekšmetiem un matemātiku, kā arī sekmē…
Rotaļa- 4-5 gadu vecuma bērna matemātisko priekšstatu veicinātāja
2019
Bakalaura darba temats: “Rotaļa- 4-5 gadu vecuma bērna matemātisko priekšstatu veicinātāja” Darba autore: Svetlana Barabaškina Darba vadītājs: Dr.paed. Dagnija Vigule Atslēgas vārdi: matemātiskie priekšstati, rotaļa, pirmsskola Mērķis: – teorētiski un praktiski pētīt 4-5 gadu vecuma pirmsskolas bērnu matemātisko priekšstatu veidošanas iespējas rotaļā Uzdevumi: 1.Analizēt pedagoģisko un psiholoģisko literatūru par 4-5 gadu vecuma bērna attīstību. 2.Apkopot pedagoģijas un psiholoģijas zinātnieku atziņas par matemātisko priekšstatu veidošanos. 3.Apkopot pedagoģijas un psiholoģijas zinātnieku atziņas par rotaļām. 4.Veikt pētījumu par rotaļu izmantošanas iespējām matemātisko priekšstatu veidošan…
Mappings of finite distortion : removable singularities
2003
Modeling Political Corruption in Spain
2021
Political corruption is a universal phenomenon. Even though it is a cross-country reality, its level of intensity and the manner of its effect vary worldwide. In Spain, the demonstrated political corruption cases that have been echoed by the media in recent years for their economic, judicial and social significance are merely the tip of the iceberg as regards a problem hidden by many interested parties, plus the shortage of the means to fight against it. This study models and quantifies the population at risk of committing political corruption in Spain by identifying and quantifying the drivers that explain political corruption. Having quantified the problem, the model allows changes to be …