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Good point Tom. I am aware of the tendency to do this. Can I get back to you once I have thought about it. I think it's got quite a lot to do with the way this allows you to solve one physical problem using the maths invented for a totally different application. and that maths, truly must be another expression of the basic stuff of the universe, just like matter. ie, they are the same thing.

Ok, I woke up this morning and my subconscious had been solving it overnight. (don’t you love that) . I'm not sure if you guys are going to be able to understand this. a small shape is exactly the same as a large shape. it just depends on how close you are standing to it. so the number 1 is exactly the same as the number 2 ...it's just a matter of perspective. I was thinking linearly before when I should have been thinking absolute three dimensionally and relatively. get it?

yep...they are pretty "cool". I played with some of these a few years back. they get hot on the back though...so you need a fan to shift that away from the area in question...also heat transfer paste...it's a bit of a sidetrack form your core experiment... If it was me I would get a real cheap 12 volt refrigerated picnic hamper and go all cannibalistic on that. maybe even rout clear tubing through it and pump that around the plant.

The trick here is to be aware of the rules about triangles you already know. draw it out as good as you can. then check it. then look at it for ages and see how many ways you can apply the simple rules you already know. usually the answer is in the question itself. to me the words that stick out further that the spikes of a cactus are the following. triangle intersect parallel collinear. good luck.

So without a good strong upward convection suction to keep re oxygenating the area around the flame.... would it even burn at all? ..maybe it would go out straight away... Maybe it would take for ever to burn...and be really weak ?

no gravity .. no thermal displacement upwards.. so an irregular star shape due to uneven burn rates and complex convection... as a guess.

sounds pretty cool! do me a favour. drown him at the end. live by the aqua, die by the aqua.

Yes ..you are all quite correct But I’m trying to figure this out more deeply. For example …I just had one of those epiphany things where I totally understood that the number 1 and the number 9 are exactly the same just inverted in their displacement in the series. Don’t ask. now what is starting to bug me about numbers is the shifting frame of reference. So for 1 to 9 we look at displacements of one …( but even this is not true if you get totally relative) Then we add a 0. Now we look at displacements of one relative to nothing. (the absolute context widens to include absence.) Then we shift context again to include negative numbers…that almost implies a previous state now gone…like adding ”time” into the mix… Why am I bugged…because if you started doing that “man throws a ball from the front of a train to the back of a train, how fast is the ball going” stuff, you have to say the frame of reference for any answer to make sense. I bet this all sounds strange.

lol... logically then the inclusion of a - sign at the front, adds a wider understanding or relationship to the set of numbers. I mean when you think of the number one...you never think...oh yea one more than nothing. but when you add a "0" to the set...then you get that sort of relativity. so.... logically.... when you add a "-1" to that set, you get a wider implied relativity. but what kind of wider implied relativity...Huh?

that's "Harry Potter". Newton. I like his diversity and practicality...but his life was sad.

Yep, I know exactly where you are coming from. you are perhaps wondering if they are a probability or an actuality? or if they are a convenient way to explain the effect of totally separated causes as they "node". It is an interesting thought. I like it!

I can see how the idea of “nothing” or “0”, evolved from a hole or empty hand ..meaning that relative to objects (or contextual reality), there was a lack thereof. But what on earth were they thinking when they went past nothing to create -1?

it is an interesting term. why not think of it like a automotive breakdown. a car can fail to function correctly for a variety of reasons. the point is to know when you car is needing a rest and when it is overheating...that sort of thing. I like to draw the comparison between a pulled muscle and a nervous breakdown. once you have been stupid enough to pull a muscle...nothing but rest will see you right.

Nine year old Tom looked at the small wire star sitting on the hot desert sand . He pressed the red switch , letting power from the even smaller solar cell flow into it. 11 year old Katie prodded Toms back with her foot. “you realize", she huffed , "that if this work’s, it will all be because of my star design". The star started to hum and waver. The children searched hopefully across the clear blue sky. “Look!”, cried Tom as the clouds on the horizon started drifting slowly toward them. “You do know what this means” laughed Tom. “Yes” smiled Katy…” that you will be a real pain for the next ten years….and… now all the deserts will get a fair share of all that water in the sky.

Well... in a way, the screening process for a candidate in the US is way more stringent than any psi test. no way is old money going to back a nutter. it's a bad investment. PS: Who was that president that liked to wear a dress.... he did a pretty good job didn’t he...? (and he cut a mighty fine figure in a ball gown).

Hey no way...you got banned on the Pseudoscience area! Wow, I think you need some kind of reward for managing that. If you are still searching for the connection between love and waves.... Hmm I'm thinking "Psychology today" the publication will help you define "love" in a scientific context. I wish I could help you dig around on this one ...but ..oh well. good luck!

And it’s always nice to see where a concept first occurred .. Here is the bridge….and Hey…guess what…Octonions also. See below. http://maths.ucd.ie/photo_gallery/ucd150KJ/ppt/img28.html

and to see the actual thing.. http://serge.mehl.free.fr/jpeg/quaternions_jf.jpg

Lol. Very good. See I’m interested in this for a practical reason. You might like this. “ Hamilton wrote to his son: Every morning in the early part of the above-cited month [Oct. 1843] on my coming down to breakfast, your brother William Edwin and yourself used to ask me, 'Well, Papa, can you multiply triplets?' Whereto I was always obliged to reply, with a sad shake of the head, 'No, I can only add and subtract them.' We can guess how Hollywood would handle the Brougham Bridge scene in Dublin. Strolling along the Royal Canal with Mrs. H-, he realizes the solution to the problem, jots it down in a notebook. So excited, he took out a knife and carved the answer in the stone of the bridge. Hamilton had found a long sought-after solution, but it was weird, very weird, it was 4D. One of the first things Hamilton did was get rid of the fourth dimension,” http://world.std.com/~sweetser/quaternions/intro/history/history.html

this is nuts. people are nuts. what the hey! chants. Blooo! Blooo! Blooo!

so say you got abstract. get a 10 story building with 10 offices each with a phone. give each person in that office tower an equation to do. and then to ring the answer to another specified office. would you consider that a three dimensional matrix? what if they were just gears instead of people? what if they were cleverly organized Microsoft XL spreadsheets.. what if they were crystal stacks being interlaced with lasers and the nodes calculated with phototransistors. all matricis??

lol... that's impressive. way above my head. What did he want to use this for in the end anyway...did he have some practical problem to solve? I'm assuming that you don’t invent a style of calculation unless you need it to do something...like tensor analysis or something (heh)

Oh…you think it’s the blood and the chemicals moving around making the ideas… Hmmm…I thought that they made the emotions… .I thought that the ideas were structural and electrical… what “things” moving around ???