# The Naked Scientists Forum

### Author Topic: Can you please explain this maths in your words to me?  (Read 1640 times)

#### Thebox

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##### Can you please explain this maths in your words to me?
« on: 17/11/2015 12:55:19 »
y²= x², which assigns to every x the two values y = + x and y = − x.

''Also called multiple-value function. a relation between two sets in which two or more elements of the second set are assigned to each element of the first set, as y²= x², which assigns to every x the two values y = + x and y = − x.''

This is the opposite of expected value using more than a single set of variants?

the more complexed version

Y=X³

sinh x = 1/2 (e x- e-x)

what does all this mean?
I am trying to express this

« Last Edit: 17/11/2015 13:19:53 by Thebox »

#### Colin2B

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##### Re: Can you please explain this maths in your words to me?
« Reply #1 on: 17/11/2015 13:58:55 »
Can I recommend you park what it means and read this
https://www.mathsisfun.com/equation_of_line.html

From this you will have a toolkit that allows you to work out what you need to describe the lines on your graph.
You could also try reading the maths book Pete gave you.

#### alancalverd

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##### Re: Can you please explain this maths in your words to me?
« Reply #2 on: 17/11/2015 14:20:51 »
In words,

y has 3 possible values, one of which is zero. If y=0 there are four vectors, one in the x direction and three others in the same plane.

Presumably this symbolises something of importance to you.

#### Thebox

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##### Re: Can you please explain this maths in your words to me?
« Reply #3 on: 17/11/2015 14:47:50 »
Can I recommend you park what it means and read this
https://www.mathsisfun.com/equation_of_line.html

From this you will have a toolkit that allows you to work out what you need to describe the lines on your graph.
You could also try reading the maths book Pete gave you.

You cant self learn maths, to learn maths I need a classroom and a peer to know I am learning it correctly.

#### Thebox

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##### Re: Can you please explain this maths in your words to me?
« Reply #4 on: 17/11/2015 14:50:01 »
In words,

y has 3 possible values, one of which is zero. If y=0 there are four vectors, one in the x direction and three others in the same plane.

Presumably this symbolises something of importance to you.

Yes it means something, it means two things, one showing why a prism does not work the way you think it does and the second my on-line poker theory.

Maybe this diagram is more clearer on my intentions,  representing both things at the same time.

and correction to the drawing t1<t2

#### Craig W. Thomson

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##### Re: Can you please explain this maths in your words to me?
« Reply #5 on: 17/11/2015 16:46:29 »
Yes it means something, it means two things, one showing why a prism does not work the way you think it does and the second my on-line poker theory.
I can't help much with the online poker thing, but I can give you a pretty good verbal description of what's happening in a prism if you like.

The analogy involves a 100 meter track and a sprinter. Let's place devices at the 20, 60 and 100 meter marks to measure his speed.

After a few runs, it is found that he is running at very close to the same speed at all three points on the track, about 40 kph. Think of this in terms of a sort of oscillation, having wavelength or frequency. He takes a certain number of steps per second, and they are a certain length, and these are properties you expect him to have while running at 40 kph.

Now, lets replace part of that track with water that's 1 meter deep from the 40 meter mark to the 80 meter mark. Imagine for simplicity's sake that he doesn't have to climb down into a pool, but is able to continue running seamlessly in changing mediums. He's still going to slow down. His legs can't move as fast, he can't take such long strides. The clear medium of water has shifted his wave function.

When he emerges from the water, without the extra resistance, he can go back to something closer to his previous rate of speed as the wavelength and frequency of his steps returns to normal.

Of course, this analogy is not perfect, as photons don't "get tired." The sprinter will emerge from the water somewhat out of breath, and will likely not run quite as fast as before entering the water.
« Last Edit: 17/11/2015 16:49:43 by Craig W. Thomson »

#### Colin2B

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##### Re: Can you please explain this maths in your words to me?
« Reply #6 on: 18/11/2015 09:50:02 »
You cant self learn maths, to learn maths I need a classroom and a peer to know I am learning it correctly.
Wow, is this a Damascus moment?
I would be happy to help if you are serious, but not here. Either in Chat if you want general or if you put your new theory of prism into New Theories we could answer specific questions there.
Maybe this diagram is more clearer on my intentions,  representing both things at the same time.
I'm sorry to say that it doesnt, in fact it is very confusing. As I've said before it is best to use words to describe how you are using symbols.

#### Craig W. Thomson

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##### Re: Can you please explain this maths in your words to me?
« Reply #7 on: 18/11/2015 16:22:09 »
You cant self learn maths, to learn maths I need a classroom and a peer to know I am learning it correctly.
Not true. I'm teaching myself Calculus. Of course, paying for a class and having an instructor and deadlines would likely speed things up considerably, but I am most definitely learning it correctly.

#### jeffreyH

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##### Re: Can you please explain this maths in your words to me?
« Reply #8 on: 18/11/2015 23:58:52 »
It all depends upon where you start. If you are starting with classical mechanics and algebra it is easier than starting with calculus and quantum mechanics. Don't even attempt to understand group theory until you are very ready for it.

#### alancalverd

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##### Re: Can you please explain this maths in your words to me?
« Reply #9 on: 19/11/2015 00:54:56 »
why a prism does not work the way you think it does
Mine do - all of them.

Perhaps it's because, being a scientist, I think everything works the way it does.

#### Thebox

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##### Re: Can you please explain this maths in your words to me?
« Reply #10 on: 19/11/2015 10:06:38 »
why a prism does not work the way you think it does
Mine do - all of them.

Perhaps it's because, being a scientist, I think everything works the way it does.

Then you should know that a sprinkle of various colours can not line up into individual coloured lines.

#### alancalverd

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##### Re: Can you please explain this maths in your words to me?
« Reply #11 on: 19/11/2015 13:39:58 »
I tend to agree with Isaac Newton, and indeed every honest observer, on this matter.

#### The Naked Scientists Forum

##### Re: Can you please explain this maths in your words to me?
« Reply #11 on: 19/11/2015 13:39:58 »