Chris

Is there anywhere someone can point me to learn about how polynomials and eigenmatrices are related. I've read that the eigenvalues of a characteristic polynomial eigenmatrix and the roots of the polynomial and I wish to estimate the roots of high degree polynomials using this method however I need to understand what all this eigen stuff is.

I know that no general equation exists for solving quintic polynomials but is there a way to approximate the roots of quintic equations? (Something other than newtons method and other root finding algorithms like that?)

I am looking for a way to factor polynomials that have irrational or rational roots (no complex roots) that can be easily implemented in a computer program. What is the best least computationally expensive way to go about doing this? So far it seems that no general algorithm exists that can solve all kinds of polynomials.

Is it true that most machine learning techniques require massive parallel networks that have rather slow processing units (such as a brain) instead of small networks with only 1 or 2 processing units that are extremely fast (such as a computer)?

It would also be nice to get an explanation (;

Is it possible to do this using just methane and no other chemicals such as water, carbon dioxide, etc...?

I know a thermocouple can be used to measure temperatures of things like volcanoes but plasma's are most likely going to be hotter than volcanoes and eventually it would melt or boil the thermocouple. So how is it done?

It's easy to make just ammonia and methanol reacted over a silcoaluminate catalyst trimethylamine and dimethylamine are also byproducts that are very similar and maybe could be used as fuels as well. By fuels i mean as in a hydrogen source for fuel cell or engine, or direct use for fuel cell or engine.

http://en.wikipedia.org/wiki/Methylamine

Maybe for a hydrogen source, is it even possible to electrolyze a gas?

1. Hydrogen

2. Electricity

Does the 1.23V needed to perform electrolysis of water change with temperature? I've tried using the Nernst equation but i can't figure it out. Could someone help me, i would like to know how to use the Nernst equation to figure out how electrolysis voltage changes with temperature.

The four choices are:

1. Graphene Based Ultracapacitors

2. Urea as a hydrogen carrier for fuel cells or Internal Combustion Engines

3. Rechargeable Metal Air batteries

4. Other - got your own idea

It would be nice if you could also explain why you think that energy storage method is more promising than the rest.

The four choices are:

1. Graphene Based Ultracapacitors

2. Urea as a hydrogen carrier for fuel cells or Internal Combustion Engines

3. Rechargeable Metal Air batteries

4. Other - got your own idea

It would be nice if you could also explain why you think that energy storage method is more promising than the rest.

What are some metal oxides that have low decomposition temperatures e.g. decompose into the metal and O2 when heated.

I've noticed that most low operating temperature (i.e 30 - 150 degrees celsius) fuel cells either run on hydrogen such as the PEM or Alkaline fuel cell and perform quite well with high efficiencies (limited for use in transportation by there hydrogen storage unit though) or are run on something like methanol or ethanol such as the DEFC or the DMFC, both are inefficient and are limited for use in transportation applications by there efficiencies. What i wan't to know is why are fuel cells generally best at running on hydrogen, is it due to ion transport or reactivity? I don't believe it is the catalyst because platinum seems to work for every fuel. The things that change are the electrolyte and the temperature of the cell.

So the appropriate question may be why can fuel cells operate on a wider variety of fuels when operating at higher temperatures and how does the electrolyte affect this.

Also note that i am talking about direct fuel here no reformers or anything.

I'm not %100 sure about this but isn't nuclear waste created when the neutrons that are sustaining the fission reaction get absorbed by the fission fuel instead of smashing them apart? If so then couldn't high energy neutrons produced by an external source be used to make sure that %99 of the time the neutrons won't get absorbed because there energies are too high?

I've done a lot of searching around on google with no luck so i thought i would turn here, i would like to know the highest or some common electrochemical windows of non room temperature ionic liquids such as sodium chloride at 800 celsius or lithium fluoride. Most google searches return room temperature ionic liquids such as tetrabutylammonium hexafluorophosphate in acetonitrile which has an electrochemical window of about 6.3V which is the max for room temperature electrolytes. I'm guessing non room temperature ionic liquids are higher than that. Heres the wikipedia on electrochemical window in case some of you that know the answer but don't call it electrochemical window.

Electrochemical Window:

http://en.wikipedia.org/wiki/Electrochemical_windo...