Incorrect Unit calculation

Incorrect Unit calculation - Incorrect Unit calculation - Mensajes

#1 Publicado: 31/1/2015 23:11:42
nik

nik

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Hi all,
some problem which unit calculation

K:8.87
α:1
β:0.43
γ:0
b:200*'мм

Kα:K*(α+(β*{α^2}/{b^2})+(γ*{α^4}/{b^4}))^0.5=#

result: Unit does not match((((
#2 Publicado: 1/2/2015 9:39:04
Davide Carpi

Davide Carpi

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The error seems correct. Just make a dimensional analysis on α+(β*{α^2}/{b^2})+(γ*{α^4}/{b^4})

You sum something dimensionless with 1/мм^2 and 1/мм^4
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#3 Publicado: 2/2/2015 19:45:39
nik

nik

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Wrote

The error seems correct. Just make a dimensional analysis on α+(β*{α^2}/{b^2})+(γ*{α^4}/{b^4})

You sum something dimensionless with 1/мм^2 and 1/мм^4



I`m not convert unit of measure, math operation only value. mm^4 you real?? what a dimension, square? cube or astral?
#4 Publicado: 2/2/2015 20:11:26
Davide Carpi

Davide Carpi

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Maybe the attached picture helps a little bit more to understand the issue...

As stated previously, you can't sum apples and oranges; therefore the error message seems consistent...
2015-02-02 23_58_30-SMath Studio Desktop - [Page1_].png
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#5 Publicado: 3/2/2015 18:46:44
nik

nik

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ок,

???

formula
#6 Publicado: 3/2/2015 19:20:22
Davide Carpi

Davide Carpi

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Thanks for sharing the original formula, this makes more sense; seems you have missed or merged a parameter (alpha) with a variable (a)


Best regards,

Davide
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#7 Publicado: 4/2/2015 18:04:59
nik

nik

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this is font trouble, real value "a"
#8 Publicado: 4/2/2015 19:20:46
Davide Carpi

Davide Carpi

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Seems strange, because in this way the formula has both mathematical sense (alpha*x^0+beta*x^2+gamma*x^4) and physical sense (homogenous units involved in the calculation)... there is some literature about this formula? (where it is used? has an author?)
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