Re: Relativity and delusion
- From: Jerry <Cephalobus_alienus@xxxxxxxxxxx>
- Date: Sun, 27 Jul 2008 13:21:24 -0700 (PDT)
On Jul 27, 2:53 pm, "Spaceman" <space...@xxxxxxxxxxxxxxxxxxxxxxxxxx>
wrote:
Jerry wrote:
On Jul 27, 1:59 pm, "Spaceman" <space...@xxxxxxxxxxxxxxxxxxxxxxxxxx>
wrote:
Jerry wrote:
On Jul 27, 12:18 pm, "Spaceman"
<space...@xxxxxxxxxxxxxxxxxxxxxxxxxx> wrote:
Spaceman wrote:
Jerry wrote:
On Jul 27, 11:20 am, "Spaceman"
<space...@xxxxxxxxxxxxxxxxxxxxxxxxxx> wrote:
Driving along a negative direction,
-40 mph
40 mph west instead of east.
I spin around 180,
times (-1)
times nothing, I turned the vehicle to face
west, now I am driving east at 40 mph.
then I spin around 180 again.
times (-1)
Times nothing again,
I turned around and I am back to driving
west again.
Guess what, I am still driving in the negative direction.
equals -40 mph
Still a positive 40 mph in the west direction.
Excellent!
(-40)*(-1)*(-1) = -40
So, you got the above correct.
Now tell us the answer to (-40)*(-1)
Which direction are you driving?
I don't multiply by -1 to change direction.
I turn 180 degrees and I am still doing a positive
40 mph in the new direction.
(no multiplication (of my speed) occuring at all)
Why do you multiply for a change of direction?
How does "change of direction" get turned into
a multiplication at all?
Do you truly think 180 degrees = -1 ?
That is real silly.
I am glad you can make up such imaginary math.
180 = -1..
Great Stuff!
Look!
If I take a 90 degree turn, it is one half of 180,
so I would multiply by -0.5 since -0.5 is half of -1.
LOL
If you do a 90 degree turn counterclockwise, that equals
multiplication by i, the square root of (-1).
If you do a 90 degree turn clockwise, that equals
multiplication by -i, the OTHER square root of (-1).
Two 90 degree turns either way makes for a 180 degree turn.
In other words,
40 is 40 mph east (i.e. to the right)
-40 is 40 mph west (i.e. to the left)
multiplication by i is a 90 degrees turn counterclockwise
multiplication by -i is a 90 degrees turn clockwise
(-40)*i = -40i which is 40 mph south
How the hell do you get "south" from 40 mph west
to begin with and multiply times i?
Because "multiply times i" in this context MEANS "turn counter-
clockwise by 90 degrees while keeping your speed constant."
If you are going 40 mph west, then turn counterclockwise 90
degrees while keeping your speed constant, the result is that
you are heading south at 40 mph.
And what would you use for 45 degrees then?
That gets us into "complex numbers", neither pure "real" nor pure
"imaginary", but rather, a mixture of the two.
45 degrees counterclockwise is
sqrt(2)/2 + sqrt(2)/2 i = 0.7071 + 0.7071 i (approximately)
45 degrees clockwise is
sqrt(2)/2 - sqrt(2)/2 i = 0.7071 - 0.7071 i (approximately)
Two multiplications by 45 degrees counterclockwise should get
you a 90 degrees conterclockwise rotation.
Let's try it with approximate numbers
0.7071 + 0.7071 i
0.7071 + 0.7071 i
---------------------------
0.5 i + 0.5 i*i Multiply the top row by 0.7071 i
0.5 + 0.5 i Multiply the bottom row by 0.7071
---------------------------
Add the two lines above to get
0.5 + i + 0.5 (i*i)
---------------------------
This equals
0.5 + i + 0.5 (-1)
---------------------------
This equals
0.5 + i - 0.5
---------------------------
This equals
i
---------------------------
This result is exactly what we want. Two multiplications by
0.7071 + 0.7071 i
gets us i
Two 45 degree turns counterclockwise gets us a 90 degree turn
counterclockwise.
Jerry
.
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