File:SupSuperSigma.png
SupSuperSigma.png (449 × 440 pixels, file size: 29 KB, MIME type: image/png)
Captions
Summary
[edit]DescriptionSupSuperSigma.png |
English: Illustration of different type of non-linear response:
sublinear ( convergent to to some saturation limit ) superlinear ( starting from some threshold ) sigmoidal ( combination of both ) This plot was created with Matplotlib. Generated by this python code: #!/usr/bin/python
from pylab import *
x = arange(0.01,10,0.01)
def func_sub( x, k=1 ):
return 1-exp(-k*x)
def func_sup( x, x0=1.5, k=3 ):
return ( 1 + x**4 )**(0.25) - 1
def func_sig( x, x0=1, k=4 ):
c = 1/(1+exp(-k*(x-x0)))
figure(figsize=(5,5))
funcs = [func_sub,func_sup,func_sig ]
names = ['sublinear' , 'superlinear','sigmoidal.' ]
for i,func in enumerate(funcs):
plot( x, func(x), label=names[i] )
legend(loc=2)
xlim(0,3)
ylim(0,1.5)
savefig( 'SupSuperSigma.png', bbox_inches='tight' )
show()
|
Date | |
Source | Own work |
Author | Prokophapala |
Licensing
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 19:22, 26 October 2014 | 449 × 440 (29 KB) | Prokophapala (talk | contribs) | User created page with UploadWizard |
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Horizontal resolution | 39.37 dpc |
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Vertical resolution | 39.37 dpc |