Scalars and vectors in transactional analysis

[petrushka.googol]

I like to think of events in a person's life as classified into two types :

 

scalars - those lacking any objective eg) jay-walking on the street

vectors - those with an objective eg) walking from home to office

 

Needless to say the more vectors you have the more successful you are.

[TheGeckomancer]

I like to think of events in a person's life as classified into two types :

 

scalars - those lacking any objective eg) jay-walking on the street

vectors - those with an objective eg) walking from home to office

 

Needless to say the more vectors you have the more successful you are.

 

 

This really feels like I just stepped in on the punchline for a really elaborate joke or anecdote. Otherwise I have no idea what you are talking about. And the comparisons make no sense. Everywhere you are going at all times you have an objective for doing it.

[Strange]

I like to think of events in a person's life as classified into two types :

 

scalars - those lacking any objective eg) jay-walking on the street

vectors - those with an objective eg) walking from home to office

 

What about tensors and spinors?

 

And surely, most people who are jaywalking do it because they do have an objective: to get to the other side as quickly as possible.

[Sensei]

I like to think of events in a person's life as classified into two types :

 

scalars - those lacking any objective eg) jay-walking on the street

vectors - those with an objective eg) walking from home to office

 

Needless to say the more vectors you have the more successful you are.

 

What a gibberish..

 

Increase of amount of money on your account, is scalar:

money = money + income

 

Decrease of amount of money also is scalar:

money = money - expenditure

 

Amount of money does not have 2nd dimension.

 

Basically you don't know what is scalar and what is vector.

 

Do you know how to convert vector to scalar?

[math]length=\sqrt{dx^2+dy^2}[/math] for 2 dimensions.

[math]length=\sqrt{dx^2+dy^2+dz^2}[/math] for 3 dimensions.

it can be extended to further dimensions as many as we need.

dx,dy,dz is relative between value at one time, and at other time,

[math]dx = x1-x0[/math]

[math]dy = y1-y0[/math]

[math]dz = z1-z0[/math]

so

[math]length=\sqrt{(x1-x0)^2+(y1-y0)^2}[/math] for 2 dimensions.

[math]length=\sqrt{(x1-x0)^2+(y1-y0)^2+(z1-z0)^2}[/math] for 3 dimensions.

etc. for further dimensions.

 

You cannot convert from scalar to vector back. You lost informations while conversion.

 

If we will have x(t),y(t),z(t) functions,

You can make function f(t) like:

[math]f(t)=\sqrt{(x(t+1)-x(t))^2+(y(t+1)-y(t))^2}[/math] for 2 dimensions.

[math]f(t)=\sqrt{(x(t+1)-x(t))^2+(y(t+1)-y(t))^2+(z(t+1)-z(t))^2}[/math] for 3 dimensions.

and convert entire data from 2d to scalar.

or from 3d to scalar.

 

f.e. take location from GPS of your smartphone/car, take time from clock, store them in database record, repeat all day long. Path can be drawn on the map in future. It's full of detail.

Then after processing database with above function will be showing distance that you traveled, in 1 second steps. Without info about where you were. Some data has been lost during conversion.

If you will sum the all scalars, you will have total distance traveled during entire recording.

If you divide distance traveled by time, there will be average speed (scalar). Again local fluctuations of speed will be lost.

Less data in scalar than vector (locations), but sometimes still useful for certain things.

Edited December 5, 2015 by Sensei

[ajb]

What about tensors and spinors?

And then we have tensor-like objects such as densities and connection coefficients!

 

 

Do you know how to convert vector to scalar?

[math]length=\sqrt{dx^2+dy^2}[/math] for 2 dimensions.

[math]length=\sqrt{dx^2+dy^2+dz^2}[/math] for 3 dimensions.

it can be extended to further dimensions as many as we need.

But be warned, the above is not unique. You have made a choice of metric or inner product.

Edited December 5, 2015 by ajb