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

 

Description

Examples

Description

• 

In the Simple Units environment, any verifications of valid dimensions ignore so-called Unit annotations.

• 

In the Simple Units environment, the equality and inequality relators (=,<,≤,>,≥, and≠) are modified so that they perform the necessary operations on expressions with units.

• 

Every command in the Simple Units environment that needs to determine whether an expression is valid or not, does so using the Units:-TestDimensions command.

• 

The properties of these relators are:

A⁢Unit⁡a=B⁢Unit⁡b→A=r⁢B

A⁢Unit⁡a<B⁢Unit⁡b→A<r⁢B

A⁢Unit⁡a≤B⁢Unit⁡b→A≤r⁢B

A⁢Unit⁡a>B⁢Unit⁡b→A>r⁢B

A⁢Unit⁡a≥B⁢Unit⁡b→A≥r⁢B

A⁢Unit⁡a≠B⁢Unit⁡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.

Examples

Notes: 

– 

To enter a unit in 2-D Math input, select the unit from the appropriate Units palette. If the unit you want is not there, select unit and then enter the unit.

– 

When you edit a unit, double brackets appear around it.

> 

with⁡UnitsSimple&colon;

> 

1.60⁢Unit⁡m<Unit⁡mi

1.60<201168125

(1)
> 

evalb⁡

true

(2)

In the following two cases, the units get converted to meters.

> 

3⁢Unit⁡ft=Unit⁡yd

11431250=11431250

(3)
> 

evalb⁡

true

(4)
> 

30.48⁢Unit⁡cm=Unit⁡ft

0.3048000000=3811250

(5)
> 

evalb⁡

true

(6)
> 

3⁢Unit⁡ft+3⁢Unit⁡inch=Unit⁡m

49535000=1

(7)
> 

evalb⁡

false

(8)

See Also

equalities and inequalities

Units

Units/Simple