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generalized coordinates
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generalized coordinates - 11-14-2005, 02:02 PM

Quote:
Originally Posted by GUILLE
But is there any such thing as radian is to rotation, but something is to another transalation? Is there a something like that for reflection, or translation, or enlargement, etz???
In analytical mechanics, the concept of angles, length, position, time, etc. become classified as generalized coordinates. All these are used in a particular type of transformations. For the transformation of rotation, the proper generalized coordinate to use are angles. For the translation, the proper generalized coordinate to use are distance, length or positions within a frame of reference. For reflection, the generalized coordinates also take on negative values. For enlargment, the generalized coordinates are rational scalar factors of multiplication.
In Riemannian geometry, the metric tensor is used to define the angle between two tangents. Where U and V are tangent vectors and gij are the components of the metric tensor G,



Time independence: [∂E(g)]˛=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c˛
  
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11-14-2005, 02:43 PM

You didn't finish the post.

The last thing I can read is "Where U and V are tangent vectors and gij are the components of the metric tensor G," and the coma is the last of all. What where you going to add? What for the metric tensor G. By the way, I recieved your e-mail, I'll read it soon.
  
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the cosine angle
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the cosine angle - 11-14-2005, 02:49 PM

Quote:
Originally Posted by GUILLE
What where you going to add?
I was trying to paste an equation from the Wikipedia site about angle -
the cosine of an angle is the ratio of the product of the tangents over the metric tensor.


Time independence: [∂E(g)]˛=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c˛
  
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many words confuse mind and dim the light!!!
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Smile many words confuse mind and dim the light!!! - 11-14-2005, 06:02 PM

Time,magnetism,electricity,light,energy,force,matt er,plasma,mind,nine different
words,and what do they all mean?Do they mean nine seperate things?Well no
they do not,for all these words really descibe One-thing and One thing only,and this is the root cause of all the confusion that abounds with regard the universe
and its root.The constant energy within the universe is the result of mindful
intention.this energy displays itself via many vibrations rates as either plasma,
magnetism,matter-solid,matter-liquid,matter gaseous,light,many different names
But they are all the same thing,they all shade into one another depending on
the rate of motioning or vibration.There is only one power,one source of energy
one mind,with many centers or points of consciousness.Time and space are only
real in a realitive way,in the absolute mind they are unreal and do not exist.We
are voygers that exist within and without this universe,our outer cloth is in the
realitive world,our inner garment is of a spool that is without this universe.
kind regards michael.


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reveal herself?
  
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