Some Problems In Algebra And Topology A Study Of Fuzzy Convexity With Special Reference To Separation Properties

This thesis is a study of abstract fuzzy convexity spaces and fuzzy topology fuzzy convexity spaces No attempt seems to have been made to develop a fuzzy convexity theoryin abstract situations. The purpose of this thesis is to introduce fuzzy convexity theory in abstract situations

RRNS-convolutional encoded concatenated code for OFDM based wireless communication

The modern telecommunication industry demands higher capacity networks with high data rate. Orthogonal frequency division multiplexing (OFDM) is a promising technique for high data rate wireless communications at reasonable complexity in wireless channels. OFDM has been adopted for many types of wireless systems like wireless local area networks such as IEEE 802.11a, and digital audio/video broadcasting (DAB/DVB). The proposed research focuses on a concatenated coding scheme that improve the performance of OFDM based wireless communications. It uses a Redundant Residue Number System (RRNS) code as the outer code and a convolutional code as the inner code. The bit error rate (BER) performances of the proposed system under different channel conditions are investigated. These include the effect of additive white Gaussian noise (AWGN), multipath delay spread, peak power clipping and frame start synchronization error. The simulation results show that the proposed RRNS-Convolutional concatenated coding (RCCC) scheme provides significant improvement in the system performance by exploiting the inherent properties of RRNS.

An introduction to ordinary differential equations by computer algebra-systems

We report on an elementary course in ordinary differential equations (odes) for students in engineering sciences. The course is also intended to become a self-study package for odes and is is based on several interactive computer lessons using REDUCE and MATHEMATICA . The aim of the course is not to do Computer Algebra (CA) by example or to use it for doing classroom examples. The aim ist to teach and to learn mathematics by using CA-systems.

Linear algebra with applications

Lecture slides and notes for a PhD level course on linear algebra for electrical engineers and computer scientists. This course is given in in the framework of the School of Electronics and Computer Science Mathematics Training Courses https://secure.ecs.soton.ac.uk/notes/pg_maths/ (ECS password required)

Further Calculus and Algebra

Exercises and solutions for a first year calculus and algebra course. Diagrams for the questions are all together in the support.zip file, as .eps files

Examples in relational algebra

Some examples from the book. Connolly, T. M. and C. E. Begg (2005). Database systems : a practical approach to design, implementation, and management. Harlow, Essex, England ; New York, Addison-Wesley.

La enseñanza y aprendizaje del análisis matemático haciendo uso de CAS (computer algebra system).

Se presentan dos investigaciones sobre la enseñanza y el aprendizaje de la integral definida y la integral impropia. Se destacan los aspectos relacionados con el uso de los CAS (Computer Algebra System) Derive y Maple. Se hace incapié en el papel que ha jugado cada uno de ellos en la investigación.

Teaching and learning algebra.

El álgebra esta reconocida como una parte difícil del currículo de matemáticas; sin embargo, la comprensión del álgebra es clave en las matemáticas en general. El propósito de este recurso es explorar los problemas y las posibilidades de enseñanza y aprendizaje del álgebra, y mirar algunas de las dificultades que los estudiantes suelen tener. Sugiere distintos enfoques en la enseñanza y el aprendizaje de las ideas clave.

Algebra, gráficas : Matemáticas, primer curso : actividades para los alumnos y alumnas.

Existe un ejemplar en lengua valenciana con el título: Algebra.Gràfiques : activitats per als-els alumnes de matemàtiques. ISBN: 84-482-0410-7

Algebra, gráficas : Matemáticas, segundo curso : actividades para los alumnos y alumnas.

Existe un ejemplar en lengua valenciana con el título: Algebra.Gràfiques : activitats per a l'alumnat de matemàtiques. ISBN: 84-482-0441-7

Spontaneous Meta-Arithmetic as the First Step Toward School Algebra. 'La meta-aritmética espontánea como el primer paso hacia el álgebra escolar'.

Resumen basado en el de la publicación