Equalities and Inequalities - Maple Help
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Equalities and Inequalities in the Natural Units Environment

Description

• 

In the Natural Units environment, the equality and inequality operators (=, <, <=, >, >=, and <>) are modified so that they perform the necessary operations on expressions with units.

• 

The properties of the five arithmetic operations are:

A⁢a=B⁢b−>A=r⁢B

A⁢a<B⁢b−>A<r⁢B

A⁢a<=B⁢b−>A<=r⁢B

A⁢a>B⁢b−>A>r⁢B

A⁢a>=B⁢b−>A>=r⁢B

A⁢a<>B⁢b−>A<>r⁢B

  

where a and b are units; A and B are coefficients; and r is the conversion factor from the unit b to the unit a.

> 

with(Units[Natural]):

> 

3*ft=yd;

3=3

(1)
> 

evalb((1));

true

(2)
> 

1.60*m < mi;

1.60<201168125

(3)
> 

evalb((3));

true

(4)
> 

30.48*cm = ft;

30.48=76225

(5)
> 

evalb((5));

true

(6)
> 

3 * ft + 3*`in` = m;

49535000=1

(7)
> 

evalb((7));

false

(8)

See Also

equalities and inequalities

Units

Units/Natural