Re: Converting decimal number to carpenter's fractions
- Posted by bill May 07, 2012
- 2432 views
Derek & Pete
Re negative lengths:
Vectors have magnitude and direction,
a length is a magnitude.
Euclid: a point has position but no magnitude.
Physically it is the difference between speed and velocity:
making something smaller doesn't make negative length.
Quoting Wikipedia:
In physics, velocity is speed in a given direction. Speed
describes only how fast an object is moving, whereas velocity
gives both the speed and direction of the object's motion.
To have a constant velocity, an object must have a constant
speed and motion in a constant direction.
Re: non-normalised form (U, 0, 64) "shows the base.."
According to that reasoning {U, 5, 8} should be written {U, 40, 64}
And as a consequence of that you get {U, 1, 64} = {U, 2, 128} = ...
And (as stated) GCD(0,64) = 64. Normalised {U, 0, 64} = [U, 0, 1}.
Comparing sizes you will see normailastion is a GOOD IDEA.
