ajb

I am more elite than you or

I am the most elite person

I do not think that this is great English - anyway, just drop 'elite' from future posts. It may not seem so rude when translated to Turkish, but in English it is a rather strange and insulting thing to say.

Anyway, we are way off topic here!

but I don't remember that I implied I was better than anyone.

In English saying that you are elite is exactly saying that you are better than all or most of the members here.

it is strange

may I ask ,why do you think so?

It is strange and impolite to imply that you are better than someone else. I promise you that by keep saying that you are elite will not gain you any friends.

any elite person will not be demanding to remain where he is not wanted.

You should stop calling yourself elite - it is rather self-centred and annoying.

Anyway, back on topic... is there anything else about the applications of mathematics in engineering you want to know?

Illogical and unethical seem to mean "I do not agree" lol

this is not discussion.

But it is!

WHERE IS THE RELIABLE EVIDENCE....???

Go to your library and pick up a book with the title something like 'Engineering Mathematics'. It will be full of series and transforms - they should also give some reasonable examples.

I see only fourier series

Yes, but other series and expansions are used in engineering - a quick look at a few wikipedia pages will tell you more.

I think Hawking is talking about the possibility of higher dimensional space-times, so something like 9+1 dimensional space-time. Everyone in physics and engineering is okay with working with spaces that are of dimension greater than 3, they come up quite naturally in classical mechanics, thermodynamics and so on. But this is not the same as the 3+1 dimensional space-time as given in relativity.

And here is a random picture of someone explaining Fourier series...????

WE NEED STRONGER EVIDENCES FOR >3D spaces (actual proof) LIKE STEPHEN HAWKING IMPLIED IN HIS PAPER.

I think you mean 4D plus dimensional space-times rather than the use of higher dimensional spaces in physics and engineering in general.

could you show me please any of the picture which are red coloured ??

I am not sure what you are looking for. You want some sketches involved in some calculations that use Fourier series? Just google that yourself.

let show me any element of such sequences or functional sequences ...or any usage in engineering.

Fourier series is used all over the place when a periodic signals/phenomena are present. For example

i) Signal and image processing

ii) Finding solutions to the heat equation and similar

iii) In the theory of small perturbations

iv) Acoustics

v) Optics

etc etc etc

Other related things like z-transforms and so on are also used throughout engineering.

picture are telling.

I still don't understand - you want me to show you a picture of what?

therse are also not acceptable.

I don't understand. What are you objecting to?

size=4]but where is the usage of these functions or sequences.[/size]

I am not quite sure what you are asking, but various sequences and expansions are used in engineering all the time. The two common series are of course the Taylor series and the Fourier series.

we need the actual correlation with REALITY ...

So classical mechanics does not correlate to reality? (with the standard assumptions of domain of validity and so on.)

Anyway, lots of people in physics and engineering use spaces of dimension greater than 3 (even infinite dimensions).

You seem to want to bring it back to bashing pure maths!

1) this may not be truth at medicine I think.

You only cite things that are related no matter what the subject.

2) I don't mean the IF may define the prominence. but it seems that it might define popularity.

It is hard to say, but for sure you cannot compare across subjects. There are different habits and traditions across different subjects. The impact factor only takes into account citations of papers that are published in the previous two years - in more theoretical and mathematical subjects it can take longer than two years for a paper to pick up citations. Thus, mathematical journals tend to have low IF as compared to say medical journals.

Anyway, this seems to be getting off topic.

the question was this one, could you write some clear and succint instructions which may persuade us that >3D is actively used.

Just simple classical mechanics of particles or bodies we need position and then we need some information about how the system evolves. In particular, as we usually have first order differential equations we need to also consider the velocity ; also we are often interested in phase dynamics and so we need momentum.

for instance , if we explore / invent a treatment of one well known catastrpphic disease or a piece of it , that great journal and regularly almost all people will care it.

Well, lots of scientists will not cite such a paper unless they are working on something similar.

note: I have no clear idea about this point. this might be true ,too. could you show me any journal which publish mathematical paper and its IF > 20 ?

You have made the great mistake of trying to compare impact factor across different disciplines. You clearly cannot do this, and so your request is just meaningless.

actually ,I think all these will provide the logical reason for why such qualified journals are not publishing heavily theoritic materials/papers. and they seem right on this issue. otherwise of course this will not be correct to refuse the necessity or worth of theoritic studies. these are different.

What are you talking about?

Many good journals publish works in the areas I have stated here.

unortunately I don't believe me to achieve such bright things at mechanics.

Okay, but the basic ideas are not so hard and this is what you are asking about. Anyway, we regularly deal with spaces of dimension greater than three in classical mechanics, statistical physics, thermodynamics and so on. All areas of physics that have found direct applications in engineering and so on.

ok. could you specify please the first one .

The best thing is to pick up a book on classical mechanics - or just read wikipedia for now.

Look up Lagrangian, momentum and phase space.

Degrees of freedom are the parameters - basic examples from mechanics include position, velocity or momentum.

what is the actual meaning of this two sentences?

You can usually treat the collection of all possible values of the parameters that describe a rigid body or a collection of bodies or particles as coordinates on a smooth manifold.

Can you identify a matched signal here:

Probably not - this sort of thing is not my area of expertise. But then this is irrelevant as I have not claimed anything here other than I know that people have put a lot of effort into being sure that have measured something real.

Gravity waves has a unique signature...

This really needs stressing again - the wave form measured fits the models very well including the 'ring down' towards the end of the merger.