Search results for "General Mathematics"
showing 10 items of 3795 documents
Łojasiewicz exponents, the integral closure of ideals and Newton polyhedra
2003
We give an upper estimate for the Łojasiewicz exponent $\ell(J,I)$ of an ideal $J\subseteq A(K^{n})$ with respect to another ideal I in the ring $A(K^{n})$ of germs analytic functions $f$ : $(K^{n},\mathrm{O})\rightarrow K$ , where $K=C$ or $R$ , using Newton polyhedrons. In particular, we give a method to estimate the Łojasiewicz exponent $\alpha_{0}(f)$ of a germ $f\in A(K^{n})$ that can be applied when $f$ is Newton degenerate with respect to its Newton polyhedron.
Quantization of Poisson Lie Groups and Applications
1996
LetG be a connected Poisson-Lie group. We discuss aspects of the question of Drinfel'd:can G be quantized? and give some answers. WhenG is semisimple (a case where the answer isyes), we introduce quantizable Poisson subalgebras ofC ∞(G), related to harmonic analysis onG; they are a generalization of F.R.T. models of quantum groups, and provide new examples of quantized Poisson algebras.
On the stability of some controlled Markov chains and its applications to stochastic approximation with Markovian dynamic
2015
We develop a practical approach to establish the stability, that is, the recurrence in a given set, of a large class of controlled Markov chains. These processes arise in various areas of applied science and encompass important numerical methods. We show in particular how individual Lyapunov functions and associated drift conditions for the parametrized family of Markov transition probabilities and the parameter update can be combined to form Lyapunov functions for the joint process, leading to the proof of the desired stability property. Of particular interest is the fact that the approach applies even in situations where the two components of the process present a time-scale separation, w…
From Feynman–Kac formulae to numerical stochastic homogenization in electrical impedance tomography
2016
In this paper, we use the theory of symmetric Dirichlet forms to derive Feynman–Kac formulae for the forward problem of electrical impedance tomography with possibly anisotropic, merely measurable conductivities corresponding to different electrode models on bounded Lipschitz domains. Subsequently, we employ these Feynman–Kac formulae to rigorously justify stochastic homogenization in the case of a stochastic boundary value problem arising from an inverse anomaly detection problem. Motivated by this theoretical result, we prove an estimate for the speed of convergence of the projected mean-square displacement of the underlying process which may serve as the theoretical foundation for the de…
The Philae lander mission and science overview.
2017
The Philae lander accomplished the first soft landing and the first scientific experiments of a human-made spacecraft on the surface of a comet. Planned, expected and unexpected activities and events happened during the descent, the touch-downs, the hopping across and the stay and operations on the surface. The key results were obtained during 12–14 November 2014, at 3 AU from the Sun, during the 63 h long period of the descent and of the first science sequence on the surface. Thereafter, Philae went into hibernation, waking up again in late April 2015 with subsequent communication periods with Earth (via the orbiter), too short to enable new scientific activities. The science return of the…
Learning automata based energy-efficient AI hardware design for IoT applications
2020
Energy efficiency continues to be the core design challenge for artificial intelligence (AI) hardware designers. In this paper, we propose a new AI hardware architecture targeting Internet of Things applications. The architecture is founded on the principle of learning automata, defined using propositional logic. The logic-based underpinning enables low-energy footprints as well as high learning accuracy during training and inference, which are crucial requirements for efficient AI with long operating life. We present the first insights into this new architecture in the form of a custom-designed integrated circuit for pervasive applications. Fundamental to this circuit is systematic encodin…
Adaptive and Creative Problem-Projects in the Teaching of Science. Description of the Methodology and Appreciation of the Students Involved
2019
En este artículo se describe la metodología que se ha denominado Aprendizaje Basadoen Problemas-Proyectos Adaptativos y Creativos (ABPac), utilizando como ejemplo algunos de losproyectos realizados en el centro concertado Jesús-María de Burgos durante diez años, entre 2006y 2016, con alumnos de Secundaria Obligatoria y Bachillerato. Esta metodología sugiere una aten-ción a la diversidad del alumnado considerando sus necesidades e inquietudes. Además, se analizacuantitativamente el resultado de la encuesta de percepción realizada a 73 individuos involucradosen esta metodología cuando ya ha transcurrido un tiempo de madurez y se encuentran finalizandosus carreras o con estas ya finalizadas. L…
El Texto Guía como recurso didáctico en la enseñanza universitaria
2020
In this study we analyze how a teaching aid known as a Study Guide influences the teaching and learning process in a subject of the undergraduate degree in Elementary Education at the University of Murcia (Spain). To do so, we developed an ad hoc questionnaire comprising 30 five-option Likert-style questions. The questionnaire was then validated using the expert judgment technique. The dimensions of analysis were: use of the Study Guide, content of the Study Guide, and activities conducted. Our results show that the students valued the structure and usefulness of the Study Guide positively for preparing the examination, completing the course assignments and understanding key concepts. Gende…
La formación de investigadores con tecnologías digitales : una revisión sistemática de la literatura especializadacon tecnología digital: una revisió…
2020
La educacion superior es uno de los tipos de educacion mas influidos por las tecnologias digitales. Esta situacion, al tiempo que presenta varias ventajas, tambien impone muchos desafios. La educacion de tipo superior en Mexico se conforma por tres niveles: tecnico superior, licenciatura y posgrado. En los estudios de posgrado es donde se forman, propiamente, los investigadores en ciernes. No obstante, no existe abundante literatura especializada sobre los desafios que impone las tecnologias digitales para formar a los investigadores en, relativamente, poco tiempo (de uno a cuatro anos). Este estudio documental aplico el metodo de investigacion llamado Revision Sistematica para identificar …
Informe de autoevaluación como herramienta formativa para árbitros de fútbol. Estudio de caso
2020
Aquest article ofereix els resultats d'una investigació avaluativa centrada en una pràctica educativa que es va desenvolupar durant un torneig internacional de futbol i que va posar el centre d?atenció en la formació dels àrbitres participants. L'experiència tenia l'objectiu de facilitar als àrbitres un instrument d'autoavaluació per analitzar i valorar les seues actuacions arbitrals en els partits que van dirigir durant el campionat. Aquesta eina pretenia, a més, servir a l'equip docent com a font d'informació per detectar les necessitats del grup en cada jornada i facilitar processos de feedback dialògic en el marc d'una avaluació formativa. Aquesta retroalimentació es va dur a terme en l…