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Interesting idea! There is an arbitrary variation in your curves, though. The following formulae would fix that:
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1 |
Interesting idea! There is an arbitrary variation in your curves, though. The following formulae would fix that:
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2 |
[url=https://www.
wolframalpha.
com/input?i=.
125-.
115*ln%28x%29%2Fln%281000%29%2C.
25-.
20*ln%28x%29%2Fln%281000%29%2C.
375-.
275*ln%28x%29%2Fln%281000%29%2C.
50-.
30*ln%28x%29%2Fln%281000%29%2C.
625-.
225*ln%28x%29%2Fln%281000%29%2C.
75-.
15*ln%28x%29%2Fln%281000%29%2C.
875-.
075*ln%28x%29%2Fln%281000%29+from+1+to+1000]Singularity
=
0.
125
-
0.
115*ln(
min(
x,
1000)
)
/ln(
1000)
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2 |
[url=https://www.
wolframalpha.
com/input?i=.
125-.
115*ln%28x%29%2Fln%281000%29%2C.
25-.
20*ln%28x%29%2Fln%281000%29%2C.
375-.
275*ln%28x%29%2Fln%281000%29%2C.
50-.
30*ln%28x%29%2Fln%281000%29%2C.
625-.
225*ln%28x%29%2Fln%281000%29%2C.
75-.
15*ln%28x%29%2Fln%281000%29%2C.
875-.
075*ln%28x%29%2Fln%281000%29+from+1+to+1000][CLICK
HERE
AND
SCROLL
DOWN
to
see
all
graphs
(
requires
cookies)
]
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3 |
\n
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4 |
Singularity = 0.125 - 0.115*ln(min(x, 1000))/ln(1000)
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3 |
Neutron Star = 0.25 - 0.20*ln(min(x, 1000))/ln(1000)
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Neutron Star = 0.25 - 0.20*ln(min(x, 1000))/ln(1000)
|
4 |
Supergiant = 0.375 - 0.275*ln(min(x, 1000))/ln(1000)
|
6 |
Supergiant = 0.375 - 0.275*ln(min(x, 1000))/ln(1000)
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5 |
Giant = 0.50 - 0.30*ln(min(x, 1000))/ln(1000)
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Giant = 0.50 - 0.30*ln(min(x, 1000))/ln(1000)
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6 |
Subgiant = 0.625 - 0.225*ln(min(x, 1000))/ln(1000)
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8 |
Subgiant = 0.625 - 0.225*ln(min(x, 1000))/ln(1000)
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7 |
Red Dwarf = 0.75 - 0.15*ln(min(x, 1000))/ln(1000)
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9 |
Red Dwarf = 0.75 - 0.15*ln(min(x, 1000))/ln(1000)
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Brown Dwarf = 0.875 - 0.075*ln(min(x, 1000))/ln(1000)[/url]
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10 |
Brown Dwarf = 0.875 - 0.075*ln(min(x, 1000))/ln(1000)[/url]
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