Difference between revisions of "Functions by category"

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====  Language, control, and syntax ====  
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===  Language, control, and syntax ===  
 
'''[[Operators]]: '''[[Operators  | Arithmetic: + - * / ^]]  [[Comparison Operators |Comparison]]: =  <  >  <>  <=  >=  [[Logical Operators |Logical]]:  [[And]], [[Or]], [[Not]]; [[Text Concatenation Operator: & |Text concatenation]]: &; [[Subscript/Slice Operator |Subscript and slice:  x[I=x], x[@I=x] ]], [[Assignment Operator := |Assignment :=]], [[Reference Operator::\ |Reference \]], [[Dereference Operator |Dereference #]],  
 
'''[[Operators]]: '''[[Operators  | Arithmetic: + - * / ^]]  [[Comparison Operators |Comparison]]: =  <  >  <>  <=  >=  [[Logical Operators |Logical]]:  [[And]], [[Or]], [[Not]]; [[Text Concatenation Operator: & |Text concatenation]]: &; [[Subscript/Slice Operator |Subscript and slice:  x[I=x], x[@I=x] ]], [[Assignment Operator := |Assignment :=]], [[Reference Operator::\ |Reference \]], [[Dereference Operator |Dereference #]],  
  
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'''Local variable declarations:'''  [[Var..Do |VAR x]], [[Index..Do |Index i]];  [[MetaVar  |MetaVar v]]; [[MetaIndex  |MetaIndex i]]; [[LocalAlias..Do |LocalAlias a]], [[Local Index Operator::A.I]]
 
'''Local variable declarations:'''  [[Var..Do |VAR x]], [[Index..Do |Index i]];  [[MetaVar  |MetaVar v]]; [[MetaIndex  |MetaIndex i]]; [[LocalAlias..Do |LocalAlias a]], [[Local Index Operator::A.I]]
  
==== Mathematics ====
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=== Mathematics ===
 
'''[[Math functions|Basic math]]:''' [[Abs]], [[Sign]], [[Mod]], [[Round]], [[Ceil]], [[Floor]], [[Sqr]], [[Sqrt]], [[Exp]], [[Ln]], [[LogTen]], [[Factorial]], [[Degrees]], [[Radians]]
 
'''[[Math functions|Basic math]]:''' [[Abs]], [[Sign]], [[Mod]], [[Round]], [[Ceil]], [[Floor]], [[Sqr]], [[Sqrt]], [[Exp]], [[Ln]], [[LogTen]], [[Factorial]], [[Degrees]], [[Radians]]
  
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'''Signal processing:''' [[FFT]], [[FFTInv]]
 
'''Signal processing:''' [[FFT]], [[FFTInv]]
  
==== Dates, Text, Financial====  
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=== Dates, Text, Financial===  
 
'''[[Date and Time Values |Date and Time]]:'''[[Date_Functions#MakeDate.28year.2C_month.2C_day.29 | MakeDate]], [[DateAdd]], [[DatePart]], [[Today]], [[ParseDate]], [[IsDateTime]]
 
'''[[Date and Time Values |Date and Time]]:'''[[Date_Functions#MakeDate.28year.2C_month.2C_day.29 | MakeDate]], [[DateAdd]], [[DatePart]], [[Today]], [[ParseDate]], [[IsDateTime]]
  
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'''[[:Category:Financial Functions |Financial]]''': [[Pv]], [[Fv]], [[Npv]], [[XNpv]], [[Rate]], [[NPer]], [[Pmt]], [[PPmt]], [[IPmt]], [[CumIPmt]], [[Irr]], [[XIrr]]
 
'''[[:Category:Financial Functions |Financial]]''': [[Pv]], [[Fv]], [[Npv]], [[XNpv]], [[Rate]], [[NPer]], [[Pmt]], [[PPmt]], [[IPmt]], [[CumIPmt]], [[Irr]], [[XIrr]]
  
==== Array functions ====
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=== Array functions ===
 
'''[[Functions that create indexes|Make an Index]]: ''' [x, y], [[Sequence]],  [[Sequence Operator |Sequence Operator: first..last]], [[SortIndex]], [[SplitText]], [[SubIndex]], [[Subset]], [[Unique]], [[Copyindex]]
 
'''[[Functions that create indexes|Make an Index]]: ''' [x, y], [[Sequence]],  [[Sequence Operator |Sequence Operator: first..last]], [[SortIndex]], [[SplitText]], [[SubIndex]], [[Subset]], [[Unique]], [[Copyindex]]
  
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'''Other array functions: '''[[Aggregate]]
 
'''Other array functions: '''[[Aggregate]]
  
==== Statistics and Probability distributions ====  
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=== Statistics and Probability distributions ===  
 
'''[[Statistical functions|Statistics]]: '''[[Median]], [[Mean]],  [[SDeviation]], [[Variance]], [[Skewness]], [[Kurtosis]], [[Statistics]], [[Probability]], [[Frequency]], [[GetFract]],  [[ProbBands]], [[Correlation]], [[RankCorrel]], [[Regression]], [[Cdf]],  [[Pdf]]
 
'''[[Statistical functions|Statistics]]: '''[[Median]], [[Mean]],  [[SDeviation]], [[Variance]], [[Skewness]], [[Kurtosis]], [[Statistics]], [[Probability]], [[Frequency]], [[GetFract]],  [[ProbBands]], [[Correlation]], [[RankCorrel]], [[Regression]], [[Cdf]],  [[Pdf]]
  
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'''[[Special probabilistic functions|Special and modifying distributions]]: ''' [[Mid]], [[Sample]],  [[Truncate]], [[Shuffle]], [[Certain]], [[Random]]
 
'''[[Special probabilistic functions|Special and modifying distributions]]: ''' [[Mid]], [[Sample]],  [[Truncate]], [[Shuffle]], [[Certain]], [[Random]]
  
'''[[Statistics, Sensitivity, and Uncertainty Analysis|Sensitivity analysis]]:''' [[Dydx]], [[Elasticity]], [[Correlation]], [[Rankcorrelation]], [[Regression]], [[WhatIf]], [[WhatIfAll]] , [[Tornado charts]], [[X-Y plots]], [[Scatter plots]]
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'''[[Statistics, Sensitivity, and Uncertainty Analysis|Sensitivity analysis]]:''' [[Dydx]], [[Elasticity]], [[Importance analysis]], [[Correlation]], [[RankCorrel]], [[Regression]], [[WhatIf]], [[WhatIfAll]] , [[Tornado charts]], [[X-Y plots]], [[Scatter plots]]
  
 
'''Functions for distributions: '''[[ProbWilcoxon]], [[CumWilcoxon]], [[CumWilcoxonInv]], [[BetaI]], [[BetaIInv]], [[GammaI]], [[GammaIInv]], [[CumNormal]], [[CumNormalInv]], [[Erf]], [[ErfInv]]
 
'''Functions for distributions: '''[[ProbWilcoxon]], [[CumWilcoxon]], [[CumWilcoxonInv]], [[BetaI]], [[BetaIInv]], [[GammaI]], [[GammaIInv]], [[CumNormal]], [[CumNormalInv]], [[Erf]], [[ErfInv]]
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'''Distribution Densities.ana:''' [[LDens_InvertedWishart]], [[LDens_Wishart]], [[LGamma]][[Text Concatenation Operator: & |<nowiki/>]]<nowiki/>'''<nowiki/>'''
 
'''Distribution Densities.ana:''' [[LDens_InvertedWishart]], [[LDens_Wishart]], [[LGamma]][[Text Concatenation Operator: & |<nowiki/>]]<nowiki/>'''<nowiki/>'''
  
====  User interaction and dialogs ====  
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===  User interaction and dialogs ===  
 
'''User input:''' [[Choice | Choice]], [[Checkbox]], [Choice menus and Checkboxes in an edit table|Choices & Checkboxes in an Edit table]]
 
'''User input:''' [[Choice | Choice]], [[Checkbox]], [Choice menus and Checkboxes in an edit table|Choices & Checkboxes in an Edit table]]
  
 
'''Dialog boxes: '''[[MsgBox]], [[Error]], [[AskMsgText]], [[AskMsgChoice]], [[AskMsgNumber]], [[ShowProgressBar]]
 
'''Dialog boxes: '''[[MsgBox]], [[Error]], [[AskMsgText]], [[AskMsgChoice]], [[AskMsgNumber]], [[ShowProgressBar]]
  
====  Types and type conversion ====  
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===  Types and type conversion ===  
 
'''Convert type: '''[[Chr]], [[Asc]], [[NumberToText]], [[ParseDate]], [[ParseNumber]]
 
'''Convert type: '''[[Chr]], [[Asc]], [[NumberToText]], [[ParseDate]], [[ParseNumber]]
  
 
'''[[Data Type Functions]]:''' [[Data_Type_Functions#Function_TypeOf | TypeOf]], [[IsDateTime]], [[IsHandle]], [[Data_Type_Functions#Function_IsNaN | IsNaN]], [[IsNull]],[[Data_Type_Functions#Function_IsNumber | IsNumber]], [[IsRealNumber]],[[Data_Type_Functions#Function_IsReference | IsReference]],[[Data_Type_Functions#Function_IsText | IsText]], [[Data_Type_Functions#Function_IsUndef | IsUndef]], [[IsResultComputed]], [[Data_Type_Functions#Function_IsNotSpecified |IsNotSpecified]]
 
'''[[Data Type Functions]]:''' [[Data_Type_Functions#Function_TypeOf | TypeOf]], [[IsDateTime]], [[IsHandle]], [[Data_Type_Functions#Function_IsNaN | IsNaN]], [[IsNull]],[[Data_Type_Functions#Function_IsNumber | IsNumber]], [[IsRealNumber]],[[Data_Type_Functions#Function_IsReference | IsReference]],[[Data_Type_Functions#Function_IsText | IsText]], [[Data_Type_Functions#Function_IsUndef | IsUndef]], [[IsResultComputed]], [[Data_Type_Functions#Function_IsNotSpecified |IsNotSpecified]]
  
====  Optimizer functions ====  
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===  Optimizer functions ===  
 
'''[[Primary Optimization Functions|Optimizer formulation]]: ''' [[DefineOptimization]],  [[OptSolution]], [[OptInfo]], [[OptObjective]],  [[GroupedInteger]], [[OptGuess]], [[OptEngineInfo]]
 
'''[[Primary Optimization Functions|Optimizer formulation]]: ''' [[DefineOptimization]],  [[OptSolution]], [[OptInfo]], [[OptObjective]],  [[GroupedInteger]], [[OptGuess]], [[OptEngineInfo]]
  
 
'''[[Optimization Status Functions|Optimizer diagnostics]]:''' [[OptStatusNum]], [[OptStatusText]], [[OptFindIIS]], [[OptWriteIIS]],  [[OptObjectiveSa]], [[OptRead]], [[OptWrite]], [[OptReducedCost]], [[OptRhsSa]], [[OptScalarToConstraint]], [[OptScalarToDecision]], [[OptShadow]], [[OptSlack]]
 
'''[[Optimization Status Functions|Optimizer diagnostics]]:''' [[OptStatusNum]], [[OptStatusText]], [[OptFindIIS]], [[OptWriteIIS]],  [[OptObjectiveSa]], [[OptRead]], [[OptWrite]], [[OptReducedCost]], [[OptRhsSa]], [[OptScalarToConstraint]], [[OptScalarToDecision]], [[OptShadow]], [[OptSlack]]
  
====  Integration with other applications ====  
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===  Integration with other applications ===  
 
'''Reading and writing data: '''[[ReadFromUrl]], [[OpenURL]], [[ReadImageFile]], [[ReadTextFile]], [[WriteTextFile]], [[ShowPdfFile]]
 
'''Reading and writing data: '''[[ReadFromUrl]], [[OpenURL]], [[ReadImageFile]], [[ReadTextFile]], [[WriteTextFile]], [[ShowPdfFile]]
  
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'''[[COM Integration]]: '''[[COMArray]], [[COMCallMethod]], [[COMCreateObject]], [[COMGetProperty]]
 
'''[[COM Integration]]: '''[[COMArray]], [[COMCallMethod]], [[COMCreateObject]], [[COMGetProperty]]
  
==== Special functions ====
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=== Special functions ===
  
 
'''[[Meta-inference]]:''' [[Handle]], [[Handle Functions#HandleFromIdentifier|HandleFromIdentifier]], [[Handle Functions#ListOfHandles|ListOfHandles]], [[FindObjects]], [[Dereference Operator::# |Dereference Operator: #R]] [[VarTerm Functions#Function_IndexesOf | IndexesOf]], [[IndexNames]], [[VarTerm Functions#Function_GetVariableByName | GetVariableByName]], [[IndexValue]], [[AttribGet]]
 
'''[[Meta-inference]]:''' [[Handle]], [[Handle Functions#HandleFromIdentifier|HandleFromIdentifier]], [[Handle Functions#ListOfHandles|ListOfHandles]], [[FindObjects]], [[Dereference Operator::# |Dereference Operator: #R]] [[VarTerm Functions#Function_IndexesOf | IndexesOf]], [[IndexNames]], [[VarTerm Functions#Function_GetVariableByName | GetVariableByName]], [[IndexValue]], [[AttribGet]]
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'''[[Domain Access Functions]]: '''[[Domain Access Functions |DomainType, DomainType, DomainLowerBound, DomainUpperBound, DomainIntegerGroup]]
 
'''[[Domain Access Functions]]: '''[[Domain Access Functions |DomainType, DomainType, DomainLowerBound, DomainUpperBound, DomainIntegerGroup]]
  
==== Attributes ====
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=== [[Attributes]] ===
  
'''User editable for variables:''' Class, Identifier, Title, Units, Description, Definition, Domain, MetaIndex, User-defined attributes
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'''User editable for variables:''' Class, Identifier, Title, Units, Description, Definition, [[Check attribute|Check]], Domain, MetaIndex, User-defined attributes
  
 
'''User editable for Functions:''' Parameters
 
'''User editable for Functions:''' Parameters
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'''System information''': [[AnalyticaLicenseInfo]], [[GetProcessInfo]], [[GetRegistryValue]], [[MemoryInUseBy]]
 
'''System information''': [[AnalyticaLicenseInfo]], [[GetProcessInfo]], [[GetRegistryValue]], [[MemoryInUseBy]]
  
====  [[Function parameter qualifiers]] ====  
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===  [[Function parameter qualifiers]] ===  
 
'''[[Function parameter qualifiers#Data type qualifiers|Data types]]''': [[Function parameter qualifiers#Number|Number]], [[Function parameter qualifiers#Text|Text]], [[Function parameter qualifiers#Positive|Positive]], [[Function parameter qualifiers#NonNegative|NonNegative]], [[Function parameter qualifiers#Ascending|Ascending]], [[Function parameter qualifiers#Descending|Descending]], [[Function parameter qualifiers#Reference |Reference]],  [[Function parameter qualifiers#Handle|Handle]], [[Function parameter qualifiers#Coerce <type>|Coerce <type>]]  
 
'''[[Function parameter qualifiers#Data type qualifiers|Data types]]''': [[Function parameter qualifiers#Number|Number]], [[Function parameter qualifiers#Text|Text]], [[Function parameter qualifiers#Positive|Positive]], [[Function parameter qualifiers#NonNegative|NonNegative]], [[Function parameter qualifiers#Ascending|Ascending]], [[Function parameter qualifiers#Descending|Descending]], [[Function parameter qualifiers#Reference |Reference]],  [[Function parameter qualifiers#Handle|Handle]], [[Function parameter qualifiers#Coerce <type>|Coerce <type>]]  
  
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'''[[Function parameter qualifiers#Dimensionality qualifiers|Arrays]]''': [[Function parameter qualifiers#Atom|Atom or scalar]], [[Function parameter qualifiers#Vector|Vector]], [[Function parameter qualifiers#Array|Array]], [[Function parameter qualifiers#Reduced|Reduced]]
 
'''[[Function parameter qualifiers#Dimensionality qualifiers|Arrays]]''': [[Function parameter qualifiers#Atom|Atom or scalar]], [[Function parameter qualifiers#Vector|Vector]], [[Function parameter qualifiers#Array|Array]], [[Function parameter qualifiers#Reduced|Reduced]]
  
====  Libraries ====
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===  Libraries ===
  
 
[[Standard libraries]], [[Extra libraries]],  
 
[[Standard libraries]], [[Extra libraries]],  
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'''Linked List Library.ana:''' [[LL_First]], [[LL_Length]], [[LL_Nth]], [[LL_Push]], [[LL_Remove_First]], [[LL_To_Array]], [[LL_to_RArray]]
 
'''Linked List Library.ana:''' [[LL_First]], [[LL_Length]], [[LL_Nth]], [[LL_Push]], [[LL_Remove_First]], [[LL_To_Array]], [[LL_to_RArray]]
  
==== [[Obsolete and deprecated functions]] ====
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=== [[Obsolete and deprecated functions]] ===
 
</div>
 
</div>

Revision as of 22:42, 26 March 2016


Language, control, and syntax

Operators: Arithmetic: + - * / ^ Comparison: = < > <> <= >= Logical: And, Or, Not; Text concatenation: &; Subscript and slice: x[I=x], x[@I=x] , Assignment :=, Reference \, Dereference #,

Conditional constructs: If-Then-Else, Ifall-Then-Else, Ifonly-Then-Else, If0, Ifpos

Loops: While..Do, For..Do

Grouped expressions: (expr; expr), BEGIN expr; expr END

Comments: { comment }, /* comment */

Local variable declarations: VAR x, Index i; MetaVar v; MetaIndex i; LocalAlias a, Local Index Operator::A.I

Mathematics

Basic math: Abs, Sign, Mod, Round, Ceil, Floor, Sqr, Sqrt, Exp, Ln, LogTen, Factorial, Degrees, Radians

Trig Functions: Sin, Cos, Tan, Sinh, Cosh, Tanh, ArcSin, ArcCos, ArcTan, ArcTan2; ArcSinH, ArcCosH, ArcTanH

Set Functions: SetContains, SetDifference, SetEvaluationFlag, SetIntersection, SetUnion

Complex Numbers: RealPart, ImPart, ComplexDegrees, ComplexRadians, Conj

Signal processing: FFT, FFTInv

Dates, Text, Financial

Date and Time: MakeDate, DateAdd, DatePart, Today, ParseDate, IsDateTime

Text: SelectText, FindInText, TextReplace, SplitText, JoinText, Text Concatenation: t1&t2, TextLength, TextLowerCase, TextUpperCase, TextSentenceCase, TextTrim

Financial: Pv, Fv, Npv, XNpv, Rate, NPer, Pmt, PPmt, IPmt, CumIPmt, Irr, XIrr

Array functions

Make an Index: [x, y], Sequence, Sequence Operator: first..last, SortIndex, SplitText, SubIndex, Subset, Unique, Copyindex

Array reducing: Sum, Product, Average,| Max Min, ArgMin_and_ArgMax, JoinText, Condmax, Condmin, Area

Subscript, selection, lookup: x[i=j], Slice, Subscript, Slice Operator: [@I=n], StepInterp

Array mapping: Cumulate, Uncumulate, CumProduct, Normalize, Integrate, Rank, Sort, Aggregate

Tables and functions to make arrays: Array, Table, SubTable, MultiTable, DetermTable, ProbTable, AddIndex

Interpolation: StepInterp, LinearInterp, CubicInterp, MonoCubicInterp

Matrix: MatrixMultiply, Transpose, Invert, Determinant, Decompose, EigenDecomp, SingularValueDecomp

Information about arrays: Size, IndexesOf, IndexNames, MemoryInUseBy

Relational tables: MdTable, MdArrayToTable

Other array functions: Aggregate

Statistics and Probability distributions

Statistics: Median, Mean, SDeviation, Variance, Skewness, Kurtosis, Statistics, Probability, Frequency, GetFract, ProbBands, Correlation, RankCorrel, Regression, Cdf, Pdf

Custom continuous distributions: CumDist, [ProbDist]], Fractiles

Custom discrete probabilities: ChanceDist, ProbTable, Determtable, Random

Parametric discrete distributions: Bernoulli, Binomial, NegativeBinomial, Combinations, Permutations, Geometric, HyperGeometric, Certain

Parametric continuous distributions: Uniform, Normal, LogNormal, Beta, Triangular, Poisson, Exponential, Gamma, StudentT, Weibull, Wilcoxon, Logistic, BesselJ, BesselY, BesselI, BesselK, ChiSquared

Special and modifying distributions: Mid, Sample, Truncate, Shuffle, Certain, Random

Sensitivity analysis: Dydx, Elasticity, Importance analysis, Correlation, RankCorrel, Regression, WhatIf, WhatIfAll , Tornado charts, X-Y plots, Scatter plots

Functions for distributions: ProbWilcoxon, CumWilcoxon, CumWilcoxonInv, BetaI, BetaIInv, GammaI, GammaIInv, CumNormal, CumNormalInv, Erf, ErfInv

SIPs and SLURPs: SipDecode, SipEncode

Distribution Variations.ana: Gamma_m_sd, GammaFn, GammaI, GammaIInv, InverseGaussian, InvertedWishart, Lorenzian, NegBinomial

Multivariate Distributions.ana: Gaussian, Multinomial, MultiNormal, MultiUniform, Normal_additive_gro, Normal_compound_gro, Normal_correl, Normal_serial_correl

Distribution Densities.ana: LDens_InvertedWishart, LDens_Wishart, LGamma

User interaction and dialogs

User input: Choice, Checkbox, [Choice menus and Checkboxes in an edit table|Choices & Checkboxes in an Edit table]]

Dialog boxes: MsgBox, Error, AskMsgText, AskMsgChoice, AskMsgNumber, ShowProgressBar

Types and type conversion

Convert type: Chr, Asc, NumberToText, ParseDate, ParseNumber

Data Type Functions: TypeOf, IsDateTime, IsHandle, IsNaN, IsNull, IsNumber, IsRealNumber, IsReference, IsText, IsUndef, IsResultComputed, IsNotSpecified

Optimizer functions

Optimizer formulation: DefineOptimization, OptSolution, OptInfo, OptObjective, GroupedInteger, OptGuess, OptEngineInfo

Optimizer diagnostics: OptStatusNum, OptStatusText, OptFindIIS, OptWriteIIS, OptObjectiveSa, OptRead, OptWrite, OptReducedCost, OptRhsSa, OptScalarToConstraint, OptScalarToDecision, OptShadow, OptSlack

Integration with other applications

Reading and writing data: ReadFromUrl, OpenURL, ReadImageFile, ReadTextFile, WriteTextFile, ShowPdfFile

Spreadsheet access: SpreadsheetOpen, SpreadsheetCell, SpreadsheetRange, SpreadsheetSetCell, SpreadsheetSetRange,SpreadsheetSave,, SpreadsheetInfo, SpreadsheetSetInfo

Database and ODBC access: SqlDriverInfo, DbLabels, DbQuery, DbTable, DbTablenames, DbWrite, MdxQuery

Run other applications: RunConsoleProcess

COM Integration: COMArray, COMCallMethod, COMCreateObject, COMGetProperty

Special functions

Meta-inference: Handle, HandleFromIdentifier, ListOfHandles, FindObjects, Dereference Operator: #R IndexesOf, IndexNames, GetVariableByName, IndexValue, AttribGet

Evaluation: Mid, Sample, Evaluate, EvaluateScript, GetEvaluationContext

Error handling: Error, IgnoreWarnings, Try, ReThrow, Error Message Types

'Miscellaneous: Discrete, Dispatch, FunctionOf, Dynamic, Iterate, FindPolynomialZeroes

Domain expressions: ContinuousDiscreteIntegerBoolean and Discrete

Domain Access Functions: DomainType, DomainType, DomainLowerBound, DomainUpperBound, DomainIntegerGroup

Attributes

User editable for variables: Class, Identifier, Title, Units, Description, Definition, Check, Domain, MetaIndex, User-defined attributes

User editable for Functions: Parameters

User editable for Models, Modules, and Libraries: Author, Savedate, Filename

Computed: Value, Probvalue, Inputs, Outputs

Internal: Diagwindow, ObjectWindow.

System variables

Common: Run, SampleSize, Time

System information: AnalyticaLicenseInfo, GetProcessInfo, GetRegistryValue, MemoryInUseBy

Function parameter qualifiers

Data types: Number, Text, Positive, NonNegative, Ascending, Descending, Reference, Handle, Coerce <type>

Object class: Index, Variable, Object

Optional and repeated parameters: Optional, Default, Repeated parameters (...)

Arrays: Atom or scalar, Vector, Array, Reduced

Libraries

Standard libraries, Extra libraries, GCD function library.ana: GCD

Optimization Functions.ana: GoalSeek, Gradient

Financial library.ana: Implied_volatility_c, Implied_volatility_p

ODBC Library.ana: InsertRecSql,

Generalized Regression.ana: InvLogit, Logistic_Regression, Logit

Linked List Library.ana: LL_First, LL_Length, LL_Nth, LL_Push, LL_Remove_First, LL_To_Array, LL_to_RArray

Obsolete and deprecated functions

Comments


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