Any Mathematica symbol can have both a variety of types of values, and a variety of independently settable attributes that define overall aspects of its behavior.


Attributes find the attributes of a symbol

SetAttributes, ClearAttributes set, clear attributes

Function Properties

Listable automatically thread over lists appearing in arguments

Flat make equivalent to , etc. (associativity)

Orderless make equivalent to , etc. (commutativity)

OneIdentity treat as equivalent to a, etc. (idempotence)

Function Argument Evaluation

HoldFirst ▪ HoldRest ▪ HoldAll ▪ HoldAllComplete ▪ SequenceHold

Numeric-Related Properties

NumericFunction treat as a numeric function

NHoldFirst ▪ NHoldRest ▪ NHoldAll

Constant treat as a constant in differentiation, etc.

Symbol Space

Stub stub created by DeclarePackage, etc.

Temporary temporary local variable from Module, etc.


Protected keep protected against redefinition

ReadProtected ▪ Protect ▪ Unprotect

Locked keep all attributes locked (settable but not clearable)

Function a pure function, potentially with attributes

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