Computational Modeling Of A Graphene Based Field-Effect Transistor

With every passing day, the demand for devices that have higher operating speeds increases. Currently, silicon\u27s transistor size is limited and it has become difficult to obtain similar performance as compared to previous transistors. The silicon transistor design has changed from a planar geometry to an FINFET design, which allows dimensions to be scaled further while achieving similar performance. Even with this change in geometry, silicon will reach its scalable limit. With such a high demand for faster operational devices, the limitation of silicon will only be able to support the next generation transistors, and then a new type of transistor will be needed. Here is where the GBFET will have the potential to be next in line for chip makers to use in their design. The attractive feature of this transistor is its high performance, which exceeds that of current silicon transistors. Through steady evolution, the simulation of physics based research has become more acceptable. This is due to the ability that simulations offer to produce a sense of confidence that an idea has the capability to work. For this thesis, COMSOL is used to simulate a graphene based Field-Effect Transistor (GBFET) to demonstrate the ability that this design can work and what performance can be expected. Within COMSOL there exists a semiconductor module that allows the user to characterize the electron concentration, hole concentration, electric potential, and other important factors needed to determine performance. This makes COMSOL a good fit for the simulation of the graphene based transistor

Computational Modeling Of A Graphene Based Field-Effect Transistor

With every passing day, the demand for devices that have higher operating speeds increases. Currently, silicon\u27s transistor size is limited and it has become difficult to obtain similar performance as compared to previous transistors. The silicon transistor design has changed from a planar geometry to an FINFET design, which allows dimensions to be scaled further while achieving similar performance. Even with this change in geometry, silicon will reach its scalable limit. With such a high demand for faster operational devices, the limitation of silicon will only be able to support the next generation transistors, and then a new type of transistor will be needed. Here is where the GBFET will have the potential to be next in line for chip makers to use in their design. The attractive feature of this transistor is its high performance, which exceeds that of current silicon transistors. Through steady evolution, the simulation of physics based research has become more acceptable. This is due to the ability that simulations offer to produce a sense of confidence that an idea has the capability to work. For this thesis, COMSOL is used to simulate a graphene based Field-Effect Transistor (GBFET) to demonstrate the ability that this design can work and what performance can be expected. Within COMSOL there exists a semiconductor module that allows the user to characterize the electron concentration, hole concentration, electric potential, and other important factors needed to determine performance. This makes COMSOL a good fit for the simulation of the graphene based transistor

Is it possible to discriminate the body weight loss?

Most studies have described how the weight loss is when different treatments are compared (1-3), while others have also compared the weight loss by sex (4), or have taken into account psychosocial (5) and lifestyle (6, 7) variables. However, no studies have examined the interaction of different variables and the importance of them in the weight loss

Characterizing Complete Fuzzy Metric Spaces Via Fixed Point Results

[EN] With the help of C-contractions having a fixed point, we obtain a characterization of complete fuzzy metric spaces, in the sense of Kramosil and Michalek, that extends the classical theorem of H. Hu (see "Am. Math. Month. 1967, 74, 436-437") that a metric space is complete if and only if any Banach contraction on any of its closed subsets has a fixed point. We apply our main result to deduce that a well-known fixed point theorem due to D. Mihet (see "Fixed Point Theory 2005, 6, 71-78") also allows us to characterize the fuzzy metric completeness.This research was partially funded by Ministerio de Ciencia, Innovacion y Universidades, under grant PGC2018-095709-B-C21 and AEI/FEDER, UE funds.Romaguera Bonilla, S.; Tirado Peláez, P. (2020). Characterizing Complete Fuzzy Metric Spaces Via Fixed Point Results. Mathematics. 8(2):1-7. https://doi.org/10.3390/math8020273S1782Connell, E. H. (1959). Properties of fixed point spaces. Proceedings of the American Mathematical Society, 10(6), 974-979. doi:10.1090/s0002-9939-1959-0110093-3Hu, T. K. (1967). On a Fixed-Point Theorem for Metric Spaces. The American Mathematical Monthly, 74(4), 436. doi:10.2307/2314587Subrahmanyam, P. V. (1975). Completeness and fixed-points. Monatshefte f�r Mathematik, 80(4), 325-330. doi:10.1007/bf01472580Kirk, W. A. (1976). Caristi’s fixed point theorem and metric convexity. Colloquium Mathematicum, 36(1), 81-86. doi:10.4064/cm-36-1-81-86Caristi, J. (1976). Fixed point theorems for mappings satisfying inwardness conditions. Transactions of the American Mathematical Society, 215, 241-241. doi:10.1090/s0002-9947-1976-0394329-4Suzuki, T., & Takahashi, W. (1996). Fixed point theorems and characterizations of metric completeness. Topological Methods in Nonlinear Analysis, 8(2), 371. doi:10.12775/tmna.1996.040Suzuki, T. (2007). A generalized Banach contraction principle that characterizes metric completeness. Proceedings of the American Mathematical Society, 136(05), 1861-1870. doi:10.1090/s0002-9939-07-09055-7Romaguera, S., & Tirado, P. (2019). A Characterization of Quasi-Metric Completeness in Terms of α–ψ-Contractive Mappings Having Fixed Points. Mathematics, 8(1), 16. doi:10.3390/math8010016Samet, B., Vetro, C., & Vetro, P. (2012). Fixed point theorems for -contractive type mappings. Nonlinear Analysis: Theory, Methods & Applications, 75(4), 2154-2165. doi:10.1016/j.na.2011.10.014Abbas, M., Ali, B., & Romaguera, S. (2015). Multivalued Caristi’s type mappings in fuzzy metric spaces and a characterization of fuzzy metric completeness. Filomat, 29(6), 1217-1222. doi:10.2298/fil1506217aCastro-Company, F., Romaguera, S., & Tirado, P. (2015). On the construction of metrics from fuzzy metrics and its application to the fixed point theory of multivalued mappings. Fixed Point Theory and Applications, 2015(1). doi:10.1186/s13663-015-0476-1Radu, V. (1987). Some fixed point theorems probabilistic metric spaces. Lecture Notes in Mathematics, 125-133. doi:10.1007/bfb0072718Sehgal, V. M., & Bharucha-Reid, A. T. (1972). Fixed points of contraction mappings on probabilistic metric spaces. Mathematical Systems Theory, 6(1-2), 97-102. doi:10.1007/bf01706080Ćirić, L. (2010). Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces. Nonlinear Analysis: Theory, Methods & Applications, 72(3-4), 2009-2018. doi:10.1016/j.na.2009.10.00

The Meir-Keeler Fixed Point Theorem for Quasi-Metric Spaces and Some Consequences

[EN] We obtain quasi-metric versions of the famous Meir¿Keeler fixed point theorem from which we deduce quasi-metric generalizations of Boyd¿Wong¿s fixed point theorem. In fact, one of these generalizations provides a solution for a question recently raised in the paper ¿On the fixed point theory in bicomplete quasi-metric spaces¿, J. Nonlinear Sci. Appl. 2016, 9, 5245¿5251. We also give an application to the study of existence of solution for a type of recurrence equations associated to certain nonlinear difference equationsPedro Tirado acknowledges the support of the Ministerio de Ciencia, Innovación y Universidades, under grant PGC2018-095709-B-C21Romaguera Bonilla, S.; Tirado Peláez, P. (2019). The Meir-Keeler Fixed Point Theorem for Quasi-Metric Spaces and Some Consequences. Symmetry (Basel). 11(6):1-10. https://doi.org/10.3390/sym11060741S110116Alegre, C., Dağ, H., Romaguera, S., & Tirado, P. (2016). On the fixed point theory in bicomplete quasi-metric spaces. Journal of Nonlinear Sciences and Applications, 09(08), 5245-5251. doi:10.22436/jnsa.009.08.10Boyd, D. W., & Wong, J. S. W. (1969). On nonlinear contractions. Proceedings of the American Mathematical Society, 20(2), 458-458. doi:10.1090/s0002-9939-1969-0239559-9Meir, A., & Keeler, E. (1969). A theorem on contraction mappings. Journal of Mathematical Analysis and Applications, 28(2), 326-329. doi:10.1016/0022-247x(69)90031-6Aydi, H., & Karapinar, E. (2012). A Meir-Keeler common type fixed point theorem on partial metric spaces. Fixed Point Theory and Applications, 2012(1). doi:10.1186/1687-1812-2012-26Chen, C.-M. (2012). Fixed point theory for the cyclic weaker Meir-Keeler function in complete metric spaces. Fixed Point Theory and Applications, 2012(1). doi:10.1186/1687-1812-2012-17Chen, C.-M. (2012). Fixed point theorems for cyclic Meir-Keeler type mappings in complete metric spaces. Fixed Point Theory and Applications, 2012(1). doi:10.1186/1687-1812-2012-41Chen, C.-M., & Karapınar, E. (2013). Fixed point results for the α-Meir-Keeler contraction on partial Hausdorff metric spaces. Journal of Inequalities and Applications, 2013(1). doi:10.1186/1029-242x-2013-410Choban, M. M., & Berinde, V. (2017). Multiple fixed point theorems for contractive and Meir-Keeler type mappings defined on partially ordered spaces with a distance. Applied General Topology, 18(2), 317. doi:10.4995/agt.2017.7067Di Bari, C., Suzuki, T., & Vetro, C. (2008). Best proximity points for cyclic Meir–Keeler contractions. Nonlinear Analysis: Theory, Methods & Applications, 69(11), 3790-3794. doi:10.1016/j.na.2007.10.014Jachymski, J. (1995). Equivalent Conditions and the Meir-Keeler Type Theorems. Journal of Mathematical Analysis and Applications, 194(1), 293-303. doi:10.1006/jmaa.1995.1299Karapinar, E., Czerwik, S., & Aydi, H. (2018). (α,ψ)-Meir-Keeler Contraction Mappings in Generalized b-Metric Spaces. Journal of Function Spaces, 2018, 1-4. doi:10.1155/2018/3264620Mustafa, Z., Aydi, H., & Karapınar, E. (2013). Generalized Meir–Keeler type contractions on G-metric spaces. Applied Mathematics and Computation, 219(21), 10441-10447. doi:10.1016/j.amc.2013.04.032Nashine, H. K., & Romaguera, S. (2013). Fixed point theorems for cyclic self-maps involving weaker Meir-Keeler functions in complete metric spaces and applications. Fixed Point Theory and Applications, 2013(1). doi:10.1186/1687-1812-2013-224Park, S., & Bae, J. S. (1981). Extensions of a fixed point theorem of Meir and Keeler. Arkiv för Matematik, 19(1-2), 223-228. doi:10.1007/bf02384479Piątek, B. (2011). On cyclic Meir–Keeler contractions in metric spaces. Nonlinear Analysis: Theory, Methods & Applications, 74(1), 35-40. doi:10.1016/j.na.2010.08.010Rhoades, B. ., Park, S., & Moon, K. B. (1990). On generalizations of the Meir-Keeler type contraction maps. Journal of Mathematical Analysis and Applications, 146(2), 482-494. doi:10.1016/0022-247x(90)90318-aSamet, B. (2010). Coupled fixed point theorems for a generalized Meir–Keeler contraction in partially ordered metric spaces. Nonlinear Analysis: Theory, Methods & Applications, 72(12), 4508-4517. doi:10.1016/j.na.2010.02.026Samet, B., Vetro, C., & Yazidi, H. (2013). A fixed point theorem for a Meir-Keeler type contraction through rational expression. Journal of Nonlinear Sciences and Applications, 06(03), 162-169. doi:10.22436/jnsa.006.03.02Schellekens, M. (1995). The Smyth Completion. Electronic Notes in Theoretical Computer Science, 1, 535-556. doi:10.1016/s1571-0661(04)00029-5Romaguera, S., & Schellekens, M. (1999). Quasi-metric properties of complexity spaces. Topology and its Applications, 98(1-3), 311-322. doi:10.1016/s0166-8641(98)00102-3García-Raffi, L. M., Romaguera, S., & Schellekens, M. P. (2008). Applications of the complexity space to the General Probabilistic Divide and Conquer Algorithms. Journal of Mathematical Analysis and Applications, 348(1), 346-355. doi:10.1016/j.jmaa.2008.07.026Mohammadi, Z., & Valero, O. (2016). A new contribution to the fixed point theory in partial quasi-metric spaces and its applications to asymptotic complexity analysis of algorithms. Topology and its Applications, 203, 42-56. doi:10.1016/j.topol.2015.12.074Romaguera, S., & Tirado, P. (2011). The complexity probabilistic quasi-metric space. Journal of Mathematical Analysis and Applications, 376(2), 732-740. doi:10.1016/j.jmaa.2010.11.056Romaguera, S., & Tirado, P. (2015). A characterization of Smyth complete quasi-metric spaces via Caristi’s fixed point theorem. Fixed Point Theory and Applications, 2015(1). doi:10.1186/s13663-015-0431-1Stevo, S. (2002). The recursive sequence xn+1 = g(xn, xn−1)/(A + xn). Applied Mathematics Letters, 15(3), 305-308. doi:10.1016/s0893-9659(01)00135-

Do I train to lose body weight if I am already following a diet?

Importancia del ejercicio en un tratamiento de pérdia de pes

Programa colegio saludable y su influencia en la conciencia ambiental de los estudiantes de segundo grado de educación secundaria en Bambamarca

Las más recientes investigaciones señalan que uno de los problemas ambientales que aqueja a nuestras instituciones educativas, es el elevado índice de contaminación ambiental que se genera por la acumulación de residuos sólidos, fuera y dentro del local escolar. Pues el bajo nivel de conciencia ambiental en los estudiantes de segundo grado de educación secundaria en Bambamarca, se debe a que desconocen los hábitos saludables de comportamiento frente a nuestro medio ambiente. Entendemos por hábitos de comportamiento, al modo como nuestros estudiantes se comportan frente a nuestro medio ambiente. Es decir, es la costumbre natural de procurar aprender cotidianamente, esto implica la forma en que el estudiante toma conciencia para tener limpio sus aulas, pasadizos, patio, áreas verdes entre otras instalaciones del local escolar, y por ende contribuir a conservar el medio ambiente a través de una buena gestión de residuos sólidos. Para afirmar lo escrito anteriormente se aplicó una encuesta sobre hábitos de comportamiento saludables en la institución educativa y frente al medio ambiente, llegando a identificar que los hábitos que más predominan es el arrojo de basura en cualquier parte, por los estudiantes de la muestra. Los porcentajes obtenidos nos muestran que existe un considerable grupo de estudiantes de segundo grado de educación secundaria en Bambamarca, que presentan un nivel bajo nivel de conciencia ambiental; por ello es necesario que incentivemos la práctica de hábitos saludables de comportamiento frente a nuestro medio ambiente, mediante una buena gestión de residuos sólidos a nivel de nuestro ámbito de estudio, con la puesta en práctica del Programa Colegio Saludable

A new model based on a fuzzy quasi-metric type Baire applied to analysis of complexity

[EN] We analyze the complexity of an expoDC algorithm by deducing the existence of solution for the recurrence inequation associated to this algorithm by means of techniques of Denotational Semantics in the context of fuzzy quasi-metric spaces. The fuzzy quasi-metrics provide an additional parameter "t" such that a suitable use of this ingredient gives rise to extra information on the involved computational process. This analysis is done by means of a fuzzy quasi-metric version of the Banach contraction principle on a space of partial functions endowed by a suitable adaptation of the Baire quasi-metric.This research is supported by the Ministry of Economy and Competitiveness of Spain, Grant MTM2012-37894-C02-01 and by Universitat Politecnica de Valencia, Grant PAID-06-12-SP20120471.Tirado Peláez, P. (2014). A new model based on a fuzzy quasi-metric type Baire applied to analysis of complexity. Journal of Intelligent and Fuzzy Systems. 27:2545-2550. https://doi.org/10.3233/IFS-141228S254525502

Contractive Maps and Complexity Analysis in Fuzzy Quasi-Metric Spaces

En los últimos años se ha desarrollado una teoría matemática con propiedades robustas con el fin de fundamentar la Ciencia de la Computación. En este sentido, un avance significativo lo constituye el establecimiento de modelos matemáticos que miden la "distancia" entre programas y entre algoritmos, analizados según su complejidad computacional. En 1995, M. Schellekens inició el desarrollo de un modelo matemático para el análisis de la complejidad algorítmica basado en la construcción de una casi-métrica definida en el espacio de las funciones de complejidad, proporcionando una interpretación computacional adecuada del hecho de que un programa o algoritmo sea más eficiente que otro en todos su "inputs". Esta información puede extraerse en virtud del carácter asimétrico del modelo. Sin embargo, esta estructura no es aplicable al análisis de algoritmos cuya complejidad depende de dos parámetros. Por tanto, en esta tesis introduciremos un nuevo espacio casi-métrico de complejidad que proporcionará un modelo útil para el análisis de este tipo de algoritmos. Por otra parte, el espacio casi-métrico de complejidad no da una interpretación computacional del hecho de que un programa o algoritmo sea "sólo" asintóticamente más eficiente que otro. Los espacios casi-métricos difusos aportan un parámetro "t", cuya adecuada utilización puede originar una información extra sobre el proceso computacional a estudiar; por ello introduciremos la noción de casi-métrica difusa de complejidad, que proporciona un modelo satisfactorio para interpretar la eficiencia asintótica de las funciones de complejidad. En este contexto extenderemos los principales teoremas de punto fijo en espacios métricos difusos , utilizando una determinada noción de completitud, y obtendremos otros nuevos. Algunos de estos teoremas también se establecerán en el contexto general de los espacios casi-métricos difusos intuicionistas, de lo que resultarán condiciones de contracción menos fuertes. Los resultados obtTirado Peláez, P. (2008). Contractive Maps and Complexity Analysis in Fuzzy Quasi-Metric Spaces [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/2961Palanci

Contraction mappings in fuzzy quasi-metric spaces and [0,1]-fuzzy posets

[EN] It is well known that each bounded ultraquasi-metric on a set induces, in a natural way, an [0,1]-fuzzy poset. On the other hand, each [0,1]-fuzzy poset can be seen as a stationary fuzzy ultraquasi-metric space for the continuous t-norm Min. By extending this construction to any continuous t-norm, a stationary fuzzy quasi-metric space is obtained. Motivated by these facts, we present several contraction principles on fuzzy quasi-metric spaces that are applied to the class of spaces described above. Some illustrative examples are also given. Finally, we use our approach to deduce in an easy fashion the existence and uniqueness of solution for the recurrence equations typically associated to the analysis of Probabilistic Divide and Conquer Algorithms.The author thanks the support of the Spanish Ministry of Science and Innovation, grand MTM2009-12872-C02-01. The author also thanks the referees because their suggestions and remarks have allowed to improve the first version of this paper.Tirado Peláez, P. (2012). Contraction mappings in fuzzy quasi-metric spaces and [0,1]-fuzzy posets. Fixed Point Theory. 13(1):273-283. http://hdl.handle.net/10251/56871S27328313