degree of freedom

[AntonioLao]

http://en.wikipedia.org/wiki/Degree_of_freedom according to this web link, there are three distinct definition for degree of freedom. The definition that is adhered to is that definition taken from physics.

[mkirkpatrick]

http://en.wikipedia.org/wiki/Degree_of_freedom according to this web link, there are three distinct definition for degree of freedom. The definition that is adhered to is that definition taken from physics.

The
words we use can conjure up odd notions,language we use,degree of free-
dom?freedom from what?stagnation!tyranny!motion!What permits this freedom,and on whose authority is it answerable to?Just a thought.




kind regards michael.

[harmonygirl]

Thanks for the link Antonio. That particular phrase has never made sense to me. I understand that the quantification is freedom as it relates to movement and motion, not political freedom (which has been my concern to date.)
Cheers,

[AntonioLao]

not political freedom

Movers and shakers of society should have the power of political freedom. I am using degree of freedom for the repulsions and attractions of primary forces and secondary forces at the local infinitesimal level of spacetime.

[harmonygirl]

thanks I get it now.
And everyone should have the power of political freedom, not just the movers and the shakers...

[TinyTree]

In mechanics, for each particle belonging to a system, and for each independent direction in which movement is possible, two degrees of freedom are defined, one describing the particle's momentum in that direction, the other describing the particle's position along an axis defined by that direction.

It sounds like for a particle there are six degrees of freedom. However, we can ask- is there another mapping for three dimensional space which may allow for a different number of degrees of freedom?

For example, within a plane, we normally consider two degrees of freedom (along the x and y axis). However, we could also consider it with a polar notation, and then consider the angle and the distance.

If the grid is not continuous, then wouldn't it be a single degree of freedom, since you could enumerate away from the origin?

So does continuity tie directly in with degrees of freedom?

[AntonioLao]

And everyone should have the power of political freedom

and political cooperation? Or power sharing?
http://en.wikipedia.org/wiki/Freedom_(political)

So does continuity tie directly in with degrees of freedom?

The connection with continuity could only make sense globally or macroscopically. At the local infinitesimal level of existence, the maximum number for discretely quantized degree of freedom is six for space and two for time, a total of eight.

[harmonygirl]

all part and parcel of the freedom, my friend...

[AntonioLao]

all part and parcel of the freedom

This is the same as quantizing degrees of freedom. In a theory of quantum spacetime, there could only be eight directional properties.