Overview of the ScientificErrorAnalysis Package
Basic Functionality
Examples
The ScientificErrorAnalysis package provides representation and construction of numerical quantities that have a central value and associated uncertainty or error, which is some measure of the degree of precision to which the quantity's value is known. Various
Accessing ScientificErrorAnalysis Package Commands
Each command in the ScientificErrorAnalysis package can be accessed by using either the long form or the short form of the command name in the command calling sequence.
Long form
ScientificErrorAnalysis:-Quantity(20., 1.);
Short form
with(ScientificErrorAnalysis):
Quantity(20., 1.);
Essential ScientificErrorAnalysis Package Commands
The essential ScientificErrorAnalysis commands used for error assignment and computation are:
combine/errors
combine quantities-with-error in an expression
Covariance
return the covariance between two quantities-with-error
GetCorrelation
return the correlation between two quantities-with-error
GetError
return the uncertainty of a quantity-with-error
GetValue
return the central value of a quantity-with-error
Quantity
construct a quantity-with-error
SetCorrelation
set the value of the correlation between two quantities-with-error
Variance
return the variance of a quantity-with-error
To display the help page for a particular command, click the corresponding hyperlink.
For more details on these commands and their use together, see Details of ScientificErrorAnalysis.
Rounding Rules
The ScientificErrorAnalysis commands used to apply and create rounding rules are:
AddRule
add a new rounding rule
ApplyRule
apply a rounding rule to Quantity objects
GetRule
return the procedure of a rounding rule
GetRules
return the names of available rounding rules
HasRule
determine whether a symbol is the name of an available rounding rule
UseRule
set the default rounding rule
UsingRule
return the name of the default rounding rule
For more details on applying rules, see Details of ScientificErrorAnalysis.
For details on the predefined rules, see Details of the Predefined Rounding Rules.
Quantity-with-Error Structures
The ScientificErrorAnalysis commands for maintaining quantity-with-error structures are:
AddStructure
add the interface of a new quantity-with-error structure
GetStructure
return the interface of an available quantity-with-error structure
GetStructures
return the types of all available quantity-with-error structures
Details
The ScientificErrorAnalysis package does not perform interval arithmetic. That is, the error value of an object in the ScientificErrorAnalysis package does not represent an interval in which possible values must be contained. For information on interval arithmetic, see the Tolerances package.
ScientificErrorAnalysis also recognizes the objects of the ScientificConstants package, many values of which have an associated uncertainty.
For a discussion of how the ScientificErrorAnalysis and ScientificConstants packages interact, see ScientificErrorAnalysis and ScientificConstants.
For examples using the ScientificErrorAnalysis package, see the ScientificErrorAnalysis Example Worksheet.
withScientificErrorAnalysis:
x≔Quantity2.3,0.1,relative
x≔Quantity2.3,0.23
y≔Quantity9.5,0.2,relative
y≔Quantity9.5,1.90
SetCorrelationx,y,0.2
combinex3−yy,errors
Quantity0.2807368421,0.4169777056
ApplyRule,round2
Quantity0.28,0.42
combinex2+yy,errors,correlations=false
Quantity1.556842105,0.1574987314
See Also
ScientificConstants
ScientificErrorAnalysis and ScientificConstants
ScientificErrorAnalysis Example Worksheet
ScientificErrorAnalysis/Details
ScientificErrorAnalysis/References
ScientificErrorAnalysis/rules
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