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Quote from: Thebox on 20/02/2018 22:08:46Quote from: Bored chemist on 20/02/2018 22:04:52Did you see this bitQuote from: Bored chemist on 20/02/2018 21:39:49(and I want maths + thermodynamics rather than hogwash here)Well as you know I am useless at maths, you must be quite good at it , why don't you do the maths and present it to the forum? Because (broadly speaking) maths is a language for expressing logic, and you haven't provided any.

Quote from: Bored chemist on 20/02/2018 22:04:52Did you see this bitQuote from: Bored chemist on 20/02/2018 21:39:49(and I want maths + thermodynamics rather than hogwash here)Well as you know I am useless at maths, you must be quite good at it , why don't you do the maths and present it to the forum?

Did you see this bitQuote from: Bored chemist on 20/02/2018 21:39:49(and I want maths + thermodynamics rather than hogwash here)

(and I want maths + thermodynamics rather than hogwash here)

Ah! The British abroad! IF THE NATIVES DON'T UNDERSTAND, JUST SHOUT LOUDER.

I have expressed math based on my logic

Quote from: Thebox on 21/02/2018 19:57:33I have expressed math based on my logicTry using someone else's, it may work better.

Please tell me , what am I describing when I say R³ euclidean space?

Quote from: Thebox on 21/02/2018 20:11:57Please tell me , what am I describing when I say R³ euclidean space? God only knows what you mean by it, but what the rest of us mean is the sort of 3 d space that a school kind would be expected to broadly understand.A space where you can define your position relative to some "start point " by saying how much you have gone up and down, how much you have gone left or right and how much you have gone forwards or backwards.

A Cartesian space is much the same.It's possible to be euclidean, but not Cartesian.https://en.wikipedia.org/wiki/Euclidean_space#Non-Cartesian_coordinatesbut it's messy.

Pretty much.

In physics, particularly in quantum perturbation theory, the "matrix element" refers to the linear operator of a modified Hamiltonian using Dirac notation. ... Matrix elements are important in atomic, nuclear and particle physics.

"define the conceptual definition "

However , when it comes down to it, matrices have two dimensions and R3 has three.

Quote from: Bored chemist on 24/02/2018 19:27:23"define the conceptual definition "relating to or based on mental concepts.QuoteHowever , when it comes down to it, matrices have two dimensions and R3 has three.And why can matrices not have 3 ?

Quote from: Bored chemist on 22/02/2018 19:29:14A Cartesian space is much the same.It's possible to be euclidean, but not Cartesian.https://en.wikipedia.org/wiki/Euclidean_space#Non-Cartesian_coordinatesbut it's messy.So a R³ Cartesian coordinate system in an Euclidean space would be just a representation of normal space?

Also, I didn't ask you do define " conceptual definition"I asked you to define "define the conceptual definition ".Basically, you need to explain what you think you mean by "So why can I not define the conceptual definition of a matrix in being a R³ Cartesian coordinate system in an Euclidean space ?".To do that, you need to break it up into clauses and then define each of them.Alternatively, you could rewrite it, but properly this time.

R³ Cartesian coordinate system in an Euclidean space would be just a representation of normal space

You said you understood that to be just a normal space, but you can't understand rows and columns in a normal space?

Quote from: Thebox on 25/02/2018 21:35:31You said you understood that to be just a normal space, but you can't understand rows and columns in a normal space?The problem is that you don't seem to understand the difference between 2 and 3R3 has 3 dimensions. A matrix has 2.(and thus R3 is not a matrix)Why are you struggling with that?

You seem to be struggling with rows and columns in a 3 dimension space