square173205

"generated heavy noise and vibration"

 

good idea but prob would never make it past freight planes. when people pay for first class they want a quiet smooth ride

 

and just for the sake of curiosity what do you suggest "These parts must be highly heat-resisting." consist of?

 

i would suggest carburized steel maybe?

 

or maybe some carbon-carbon pistons hahaha I read recently that NASA granted some California company the rights to use a space material for high performance heat resistant pistons

a space material for high performance heat resistant pistons - Yeah, it's interesting, isn't it?

They say it's hard to send manned spacecraft to the planets further than Mars with present chemical rocket. Future rocket will have low energy consumption rate for propulsion enough to carry out such mission successfully. Here I offer the idea of a kind of fusion rocket as a future rocket.

http://hecoaustralia.fortunecity.com/accel/fusionrocket.htm

The simplest accelerator is here!

http://hecoaustralia.fortunecity.com/accel/accel.htm

Central limit theorem is for the mean value of distribution. However

not only the mean value but also the mode might follow similar limit

theorem. I tried to prove it in the following site with experimental

verification using Java applet;

http://hecoaustralia.fortunecity.com/mode2/clt-mode2.htm

(I've posted the similar case before, in which the density around the

mode was in C^2 class. This time the density at the mode is not

smooth. Then I found the limit distribution is different from Gaussian

curve.)

I couldn't get the java to work either, but just from the text of your post, I'd like to make one comment. But, just using "experimental verification" is insufficient for proof. As uncool stated, you need to show it in mathematical terms. Intuitively, there is probably some sort of central limit theorem for modes, but intuition can often be wrong, that's why formal proof is needed and not just "experimental verification".

I'm a little confusing for I wonder whether you've not seen my website. Certainly I've put the link for the proof in my website..

Central limit theorem is for the mean value of distribution. However

not only the mean value but also the mode might follow similar limit

theorem. I tried to prove it in the following site with experimental

verification using Java applet;

http://hecoaustralia.fortunecity.com/mode1/clt-mode.htm

Those where my thoughts, but I didn't read most of the text so thought I might have missed something

Simply I just added a compressor to original pulsejet engine.

That doesn't mean that they have no structure though - just that current experiments were too low resolution (ie. too low energy) to resolve the structure.

 

However, I personally would be very surprised to find substructure to leptons (or quarks) before the GUT scale at 10¹⁶GeV or so.

It looks like almost impossible to reach the energy level of 10¹⁶GeV for human being...

A group is often represented with matrix, however when the group is generally expressed with <S;R>, for example <{x,y};{xyxy^(-1)}>, it sometimes requires hard work to find appropriate representation used with matrices. I tried to represent the group expressed with <S;R> by affine transformation in the following site;

ttp://hecoaustralia.fortunecity.com/affine/affinerepresentation.htm

It can induce the representation of the group automatically by the calculation based on <S;R>.

>Would appreciate it if you shared some of these ideas on the forum instead >of linking to ad-riddled pages!

Any (constructive) questions welcome! I'll surely debate them.

Once the pulse jet engine has been used for some aircrafts. But they were noisy and moreover consumed huge fuel. Here I propose an revised pulse jet engine, which could consume fuel much less than original one (it's still noisy, though.)

ttp://hecoaustralia.fortunecity.com/pulsejet/plje.htm

Commutator group has a close relationship with abelian extension of field. However if the extension of the field is not abelian, we would need the other group to form the solvable group. In the following site I tried to generalize the commutator group for that purpose.

http://hecoaustralia.fortunecity.com/commutator/algebra.htm

As well as a hadron is divided into quarks, is a lepton divisible into more fundamental particles? Based on that idea, I tried to introduce a composite model of lepton in the following site;

http://hecoaustralia.fortunecity.com/lepton/lepton.htm

Cauchy's equation is expressed as,

f(x+y) = f(x)+f(y)

In the following site:

http://hecoaustralia.fortunecity.com/cauchy/cauchyequation.htm

I tried to expand the Cauchy's equation to general group homomorphism.

Blocking oscillator is a typical non-linear oscillator. I found there

is a pull-in effect between two blocking oscillators interacting each

other. It might be applicable for alternative telecommunication method

as described in the following site;

http://hecoaustralia.fortunecity.com/c0508/block.htm