Difference between revisions of "Talk:482: Height"

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(Cleaning up my explanation from the previous day)
Line 21: Line 21:
  
 
;Conversion of pixels to height
 
;Conversion of pixels to height
 +
Because it is a log graph for the y axis
 +
height<sub>final</sub> = height<sub>initial</sub> * factor
 +
pixels = Log<sub>base</sub>(height)
  
height<sub>final</sub> = height<sub>initial</sub> * factor
+
Using identities to show that a vertical distance on this graph represents a multiplicative change in true distance from the starting point of measure, and that a vertical change (delta) in the same number of pixels represents a corresponding multiplicative factor on total height.
 +
pixels<sub>final</sub> = Log<sub>base</sub>(height<sub>initial</sub> * factor) = Log<sub>base</sub>(initial) + Log<sub>base</sub>(factor)
 +
pixels<sub>final</sub> - pixels<sub>initial</sub> = Log<sub>base</sub>(factor) = pixels<sub>delta</sub>
  
pixels = Log<sub>base</sub>(height)
+
Solving for the factor and the base of the log function
 +
factor = base<sup>pixels<sub>delta</sub></sup>
 +
base = factor<sup>1/pixels<sub>delta</sub></sup>
  
 +
From the diagram it appears that  a change (delta) of 550 pixels represents a change of x*1000000 therefore we can determine the base and determine the multiplicative factor for any change in pixels in the original drawing.
 +
base = 1000000<sup>1/550</sup>
 +
factor = (1000000<sup>1/550</sup>)<sup>pixels<sub>delta</sub></sup> = 1000000<sup>pixels<sub>delta</sub>/550</sup>
  
 
+
Therefore:
pixels<sub>final</sub> = Log<sub>base</sub>(height<sub>initial</sub> * factor) = Log<sub>base</sub>(initial) + Log<sub>base</sub>(factor)
+
height<sub>final</sub> = height<sub>initial</sub> * 1000000<sup>pixels<sub>delta</sub>/550</sup>
 
+
The above can be used as an equation to estimate and validate the heights on the diagram, where height<sub>initial</sub> is the height of the reference point in meters, pixels<sub>delta</sub> is the vertical change in pixels on the diagram, and is positive if height increases and negative if height decreases.
Therefore vertical distance on this graph represents a multiplicative change in true distance from the starting point of measure. 
 
 
 
 
 
pixels<sub>delta</sub> = pixels<sub>final</sub> - pixels<sub>initial</sub> = Log<sub>base</sub>(factor)
 
 
 
Therefore a vertical change in pixels always represents the same multiplicative factor.
 
 
 
 
 
 
 
base<sup>pixels<sub>delta</sub></sup> = factor
 
 
 
base = factor<sup>1/pixels<sub>delta</sub></sup>
 
 
 
From the diagram it appears that 550 pixels represents a change of x*1000000.
 
 
 
 
 
 
 
1000000<sub>meters</sub><sup>1/550<sub>pixels</sub></sup> = base
 
 
 
1000000<sup>1/550<sup>pixels<sub>delta</sub></sup></sup> = 1000000<sup>pixels<sub>delta</sub>/550</sup> = factor
 
 
 
 
 
The following can be used as an equation to estimate and validate the heights on the diagram, where height<sub>initial</sub> is the height of the reference point in meters, pixels<sub>delta</sub> is the vertical change in distance in pixels, and is positive if height increases and negative if height decreases.
 
 
 
height<sub>final</sub> = height<sub>initial</sub> * 1000000<sup>pixels<sub>delta</sub>/550</sup>
 
  
 
[[Special:Contributions/108.162.216.149|108.162.216.149]] 12:40, 30 September 2014 (UTC)
 
[[Special:Contributions/108.162.216.149|108.162.216.149]] 12:40, 30 September 2014 (UTC)

Revision as of 10:57, 1 October 2014

Are you sure it reads "missing winds"? It looks like "missing WMDs" to me, which would suggest a political reference to the US engagement of 2003 in Iraq. 109.40.138.109 02:48, 22 May 2013 (UTC)

Yeah. Agreed. Changed. PinkAmpersand (talk) 11:23, 23 May 2013 (UTC)
"The comic starts with Black Hat throwing a cat off the edge of the universe, probably a reference to Schrodinger's cat" 
Has the editor here never heard of the "cats always land on their feet" myth? Black Hat would appear to be testing this from the extreme. Anonymous 01:43, 4 December 2013 (UTC) (and yes, that would be WMDs)
If I am not mistaken, this is a wiki; there is no set editor. If you have a suggestion for how to improve a page, it would be apt to edit it yourself. The discussion tends to be a forum for matters that may be tangentially related to the comic, or uncertain suggestions for improving the article. Davidy²²[talk] 03:18, 4 December 2013 (UTC)
Sorry, I wasn't aware of the proper terminology. I'll add my line shortly. Anonymous 05:13, 13 December 2013 (UTC)

Why is there a "(?)" in "Oort Cloud"? 108.162.212.196 02:10, 15 December 2013 (UTC)

Because it's not known if this cloud really does exist. Many objects are assumed to be there at that vast distance to the sun, but that distance is also the reason they could not be detected from earth. Voyager 1, the farthest humanmade object from Earth, will reach that region in many thousand years. --Dgbrt (talk) 21:37, 15 December 2013 (UTC)

Why is Snoop Dogg in space? 108.162.219.223 (talk) (please sign your comments with ~~~~)

Because he's high as shit, man--he's so high, he's the second-furthest any person's ever been from the earth. 108.162.216.76 10:12, 6 February 2014 (UTC)
Diameter of milky way: 100 - 120 kly (Lets call it 110 kly)
Suns distance to galactic centre: 27.2 kly
Distance to edge of galaxy: (0.5*110)-27.2 = 27.8 kly = 263E18

Is my understanding and maths right? --Pudder (talk) 08:08, 11 September 2014 (UTC)
Conversion of pixels to height

Because it is a log graph for the y axis

heightfinal = heightinitial * factor
pixels = Logbase(height)

Using identities to show that a vertical distance on this graph represents a multiplicative change in true distance from the starting point of measure, and that a vertical change (delta) in the same number of pixels represents a corresponding multiplicative factor on total height.

pixelsfinal = Logbase(heightinitial * factor) = Logbase(initial) + Logbase(factor)
pixelsfinal - pixelsinitial = Logbase(factor) = pixelsdelta

Solving for the factor and the base of the log function

factor = basepixelsdelta
base = factor1/pixelsdelta

From the diagram it appears that a change (delta) of 550 pixels represents a change of x*1000000 therefore we can determine the base and determine the multiplicative factor for any change in pixels in the original drawing.

base = 10000001/550 
factor = (10000001/550)pixelsdelta = 1000000pixelsdelta/550

Therefore:

heightfinal = heightinitial * 1000000pixelsdelta/550
The above can be used as an equation to estimate and validate the heights on the diagram, where heightinitial is the height of the reference point in meters, pixelsdelta is the vertical change in pixels on the diagram, and is positive if height increases and negative if height decreases.

108.162.216.149 12:40, 30 September 2014 (UTC)