Recent content by de_brook

More to this is to think of the kronecker delta as a symmetric unit matrix and that allows you to write; \delta_{jm}=\delta_{mj}=\delta_{jl}\delta_{lm}=\delta_{lm}\delta_{jl}

The Sum f(x1)+f(x1+dx)+f(x1+2*dx)+f(x1+3*dx)+...f(x2)=integral from x1 to x2 of function f(x). is a way to tell you that as you reduce the the change [\Dellta x] to zero we refine the interval [$x_{1}<x<x_{2}$] and with the requirement that f is continuous or possibly smooth enough, the sum is...

Is zero not a limit point of 1/2^n since as n gets large, 1/2^n goes to zero?

Can we have some examples in which a nowhere dense subset of a metric space is not closed?

I find it difficult to understand mathematical papers. Please can someone help by giving me clues on how to understand current research works on mathematics?

Yes it can be onto. But the linear transformation can be 1-1 to a subspace of the space with higher dimension. Thus when speaking of isomorphism or nonsingular transformation, we must be conscious of the dimension of the space we are working with. If the spaces are not of the same dimension...

You make some sense in that tensor analysis is a generalization of vector analysis, but you must not forget the fact that a tensor is an object which is independent of transformation of coordinates. The number of components of a vector is different from a tensor of higher rank. A vector is...

I can recommend 'Tensor Theory' by I.S Sokolnikoff. It is a very good text.

Are you saying the hole is a is a closed curve in the region? ofcourse yes. If so how can a closed curve be continuously deformed or shrunk to a point in the region

A region in the complex plane is said to be simply connected if any simple closed curve in the region can be shrunk or continuously deformed to a point in the region. My question is: How can i understand the intuitive meaning of this definition without using the fact that the simply connected...

Alright, what do you think it is? cos i know you quite agree that infinity is a symbol and it does not have a fixed value it just tells us about something very large

From the study of topological spaces or metric spaces this function must be an open map and this will imply that the function must be a homeomorphism.

I mean't that there are systems in which we are restricted to work with cetain variables. They could be considered as too large for our infinity or too small for a zero. For instance if you are working with a system in which most of what you encounter are infinitesimal values such as nano values...

In mathematics, infinity is a symbol representing an extremely very large quantity compared to the variables you are working with such that the system cannot even comprehend. Thus, we could have different infinities for different systems. An infinity for a system A may be a finite number for a...

thanks. but i have a problem with the build in the texnicCenter. I have installed the mitex and tex(nicCenter), but i can't asses what i have type in the tex with the pdf file