Properties of Temperature Objects
Arithmetic with Temperature Objects
Temperature( v, s )
Value( t )
Scale( t )
type( expr, Temperature )
: algebraic : expression designating the temperature value
: unit : Unit expression designating the temperature scale
: Temperature : temperature object
: anything : any Maple expression
The Temperature( v, s ) command returns an absolute temperature object. An absolute temperature is a measure of the amount of heat in a physical object. This is to be distinguished from a relative temperature expression, such as 20*Units:-Unit( degC ), which represents a change in temperature of an object (for example, in space or time).
The value v can be an arbitrary algebraic expression not involving any units.
The temperature scale s is a unit expression of the form Units:-Unit( d ), where d is one of the valid temperature units: degC, degF, K, degR, degRe or degc.
A Temperature object has the type Temperature, and this may be checked by using the type command.
The value (that is, the magnitude) of a Temperature object can be retrieved by using the Value method.
The temperature scale (a unit expression) can be retrieved by using the Scale method.
The difference t1−t2 of two (absolute) Temperature objects t1 and t2 evaluates to a relative temperature expression.
The average 12⁢t1+12⁢t2 of two (absolute) Temperature objects t1 and t2 evaluates to an absolute temperature expression.
The sum tabs+trel of an absolute temperature tabs and a relative temperature trel evaluates to an absolute temperature expression.
More general arithmetric with temperature objects is possible with affine combinations and null combinations of temperatures.
An affine combination of temperatures is an expression of the form ∑i=1nai⁢ti in which each ti is a Temperature object, and the coefficients ai satisfy ∑i=1nai=1.
An affine combination of absolute temperatures evaluates to a single absolute temperature. If all the temperature scales are the same, then the temperature scale of the result is the scale of the addends. However, an affine combination of temperatures with heterogeneous temperature scales evaluates to an absolute temperature whose temperature scale is the system default.
A null combination of temperatures is an expression of the form ∑i=1nai⁢ti in which each ti is a Temperature object, and the coefficients ai satisfy ∑i=1nai=0.
A null combination of absolute temperatures (such as a difference of absolute temperatures) always evaluates to a relative temperature expression.
If all the Temperature objects such a combination have the same temperature scale, then the resulting Temperature object will use that temperature scale. Otherwise, the system default temperature scale is used.
Combinations of Temperature objects that are neither affine nor null return unevaluated.
t1 ≔ Temperature⁡20,Units:-Unit⁡degC
t1 ≔ 20⁢°C
t2 ≔ Temperature⁡25,Units:-Unit⁡degC
t2 ≔ 25⁢°C
t3 ≔ Temperature⁡30,Units:-Unit⁡degC
t3 ≔ 30⁢°C
t ≔ a⁢t1+1−a⁢t2
t ≔ −5⁢a+25⁢°C
s ≔ ta=3|ta=3
s ≔ −5⁢3+25⁢°C
t4 ≔ Temperature⁡50,Units:-Unit⁡degF
t4 ≔ 50⁢°F
The Temperature command was introduced in Maple 2015.
For more information on Maple 2015 changes, see Updates in Maple 2015.
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