ToEntity

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`ToEntity`

✖

ToEntity[expr]

returns an entity object corresponding to the given expression.

✖

ToEntity[expr,type]

returns an entity object of the specified type corresponding to expr.

Details

ToEntity evaluates for Wolfram Language expressions corresponding to entities of type "Character", "Chemical", "Color", "Graph", "MathematicalFunction", "PhysicalConstant", "PhysicalQuantity" and "WolframLanguageSymbol".

Examples

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Basic Examples (8)Summary of the most common use cases

Convert characters to entities:

In[1]:=1

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https://wolfram.com/xid/0bdpb7jby-242x9i

Out[1]=1

In[2]:=2

✖

https://wolfram.com/xid/0bdpb7jby-73pt33

In[3]:=3

✖

https://wolfram.com/xid/0bdpb7jby-ih9wtp

Out[3]=3

In[4]:=4

✖

https://wolfram.com/xid/0bdpb7jby-3g7di5

In[5]:=5

✖

https://wolfram.com/xid/0bdpb7jby-k6zmpa

Out[5]=5

In[6]:=6

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https://wolfram.com/xid/0bdpb7jby-74u1i3

Convert a molecule to an entity:

In[1]:=1

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https://wolfram.com/xid/0bdpb7jby-g7asi6

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0bdpb7jby-v1nslv

Out[2]=2

Convert colors to entities:

In[1]:=1

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https://wolfram.com/xid/0bdpb7jby-h74ju7

Out[1]=1

In[2]:=2

✖

https://wolfram.com/xid/0bdpb7jby-emozc2

In[3]:=3

✖

https://wolfram.com/xid/0bdpb7jby-1iolfw

Out[3]=3

In[4]:=4

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https://wolfram.com/xid/0bdpb7jby-jrxnln

Convert undirected graphs to entities:

In[1]:=1

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https://wolfram.com/xid/0bdpb7jby-g9dgsb

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0bdpb7jby-kte1xs

Out[2]=2

In[3]:=3

✖

https://wolfram.com/xid/0bdpb7jby-lg2owl

Out[3]=3

In[4]:=4

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https://wolfram.com/xid/0bdpb7jby-wt4dv9

Out[4]=4

Use ToEntity for "MathematicalFunction" entity discovery:

In[1]:=1

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https://wolfram.com/xid/0bdpb7jby-4w94lx

Out[1]=1

In[2]:=2

✖

https://wolfram.com/xid/0bdpb7jby-h3tmia

In[3]:=3

✖

https://wolfram.com/xid/0bdpb7jby-vdsp1y

Out[3]=3

In[4]:=4

✖

https://wolfram.com/xid/0bdpb7jby-foeb9u

In[5]:=5

✖

https://wolfram.com/xid/0bdpb7jby-f52n2

Out[5]=5

In[6]:=6

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https://wolfram.com/xid/0bdpb7jby-f77xj5

Convert a quantity to a physical constant:

In[1]:=1

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https://wolfram.com/xid/0bdpb7jby-wsu9y

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0bdpb7jby-17x356

Out[2]=2

Convert a mathematical constant to an entity:

In[1]:=1

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https://wolfram.com/xid/0bdpb7jby-eqp4t3

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0bdpb7jby-dfbcoo

Out[2]=2

Convert a Wolfram Language symbol to an entity:

In[1]:=1

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https://wolfram.com/xid/0bdpb7jby-wspifb

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0bdpb7jby-qyn3es

Out[2]=2

In[3]:=3

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https://wolfram.com/xid/0bdpb7jby-046vpf

Out[3]=3

Scope (7)Survey of the scope of standard use cases

"Character" (1)

Convert a character to an entity:

In[1]:=1

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https://wolfram.com/xid/0bdpb7jby-1m3fld

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0bdpb7jby-why43x

Use FromCharacterCode:

In[3]:=3

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https://wolfram.com/xid/0bdpb7jby-ctkklu

Out[3]=3

"Color" (1)

Convert a named Wolfram Language color to an entity:

In[1]:=1

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https://wolfram.com/xid/0bdpb7jby-2za59d

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0bdpb7jby-rrfsu1

Use a typeset form of a color:

In[3]:=3

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https://wolfram.com/xid/0bdpb7jby-kb0eqp

Out[3]=3

In[4]:=4

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https://wolfram.com/xid/0bdpb7jby-2fndg2

"Graph" (1)

Convert an explicitly constructed graph to an entity:

In[1]:=1

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https://wolfram.com/xid/0bdpb7jby-p5zu5u

Out[1]=1

Use a graph from GraphData:

In[2]:=2

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https://wolfram.com/xid/0bdpb7jby-kpcxks

Out[2]=2

Use a graph constructor function:

In[3]:=3

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https://wolfram.com/xid/0bdpb7jby-j0ism

Out[3]=3

Use a programmatically constructed graph:

In[4]:=4

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https://wolfram.com/xid/0bdpb7jby-umun9g

Out[4]=4

"MathematicalFunction" (1)

Convert a Mathematica special function to an entity:

In[1]:=1

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https://wolfram.com/xid/0bdpb7jby-igmttg

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0bdpb7jby-zlnux2

Convert a Mathematica special function expression to an entity:

In[3]:=3

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https://wolfram.com/xid/0bdpb7jby-k36zf8

Out[3]=3

"PhysicalConstant" (1)

Convert a quantity representing a physical constant to an entity:

In[1]:=1

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https://wolfram.com/xid/0bdpb7jby-4vk55h

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0bdpb7jby-ttgosr

Use a quantity with unit multiplier:

In[3]:=3

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https://wolfram.com/xid/0bdpb7jby-45osjw

Out[3]=3

"PhysicalQuantity" (1)

Convert a quantity variable to an entity:

In[1]:=1

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https://wolfram.com/xid/0bdpb7jby-n3bg3e

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0bdpb7jby-uwrchf

"WolframLanguageSymbol" (1)

Convert a Wolfram Language symbol to an entity:

In[1]:=1

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https://wolfram.com/xid/0bdpb7jby-sbleae

Out[1]=1

In[2]:=2

✖

https://wolfram.com/xid/0bdpb7jby-t9a48v

Use a second argument to specify the type of entity desired:

In[3]:=3

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https://wolfram.com/xid/0bdpb7jby-369kna

Out[3]=3

In[4]:=4

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https://wolfram.com/xid/0bdpb7jby-v8zoub

Applications (1)Sample problems that can be solved with this function

Verify that all small graphs in GraphData give entities with canonical names equivalent to their standard names:

In[1]:=1

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https://wolfram.com/xid/0bdpb7jby-il10sh

Out[1]=1

Properties & Relations (4)Properties of the function, and connections to other functions

For suitable graph entities, FromEntity can be used to effectively "reverse" ToEntity:

In[1]:=1

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https://wolfram.com/xid/0bdpb7jby-qfk07a

Out[1]=1

In[2]:=2

✖

https://wolfram.com/xid/0bdpb7jby-thw7sg

Out[2]=2

In[3]:=3

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https://wolfram.com/xid/0bdpb7jby-yttp1h

Out[3]=3

This is similar for suitable character entities:

In[4]:=4

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https://wolfram.com/xid/0bdpb7jby-6p7l5i

In[5]:=5

✖

https://wolfram.com/xid/0bdpb7jby-wqn8kp

Out[5]=5

When a GraphData standard name is known, ToEntity is equivalent to the GraphData "Entity" property:

In[1]:=1

✖

https://wolfram.com/xid/0bdpb7jby-ji15lm

Out[1]=1

In[2]:=2

✖

https://wolfram.com/xid/0bdpb7jby-xu38pg

Out[2]=2

The result of ToEntity is typically Entity["type","canonicalname"]:

In[1]:=1

✖

https://wolfram.com/xid/0bdpb7jby-n44a6h

Out[1]=1

In[2]:=2

✖

https://wolfram.com/xid/0bdpb7jby-h1rqqd

Out[2]=2

The canonical name of a character entity is typically the value returned by ToCharacterCode:

In[1]:=1

✖

https://wolfram.com/xid/0bdpb7jby-lqckq9

Out[1]=1

In[2]:=2

✖

https://wolfram.com/xid/0bdpb7jby-n91bn8

Out[2]=2

In[3]:=3

✖

https://wolfram.com/xid/0bdpb7jby-50sd1o

Out[3]=3

In[4]:=4

✖

https://wolfram.com/xid/0bdpb7jby-3tvvyh

Out[4]=4

Possible Issues (3)Common pitfalls and unexpected behavior

Entities may not exist for all possible Wolfram Language objects of appropriate type:

In[1]:=1

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https://wolfram.com/xid/0bdpb7jby-qp8enr

Out[1]=1

In[2]:=2

✖

https://wolfram.com/xid/0bdpb7jby-c9gjw9

Out[2]=2

Some inputs may have multiple representations available:

In[1]:=1

✖

https://wolfram.com/xid/0bdpb7jby-sm8231

In[2]:=2

✖

https://wolfram.com/xid/0bdpb7jby-d0n7hp

The second argument can be used to specify to which type the input should be converted:

In[3]:=3

✖

https://wolfram.com/xid/0bdpb7jby-5thock

In[4]:=4

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https://wolfram.com/xid/0bdpb7jby-myfup5

Specifying different arguments to same symbol may result in different "MathematicalFunction" entities:

In[1]:=1

✖

https://wolfram.com/xid/0bdpb7jby-pmmodg

Out[1]=1

In[2]:=2

✖

https://wolfram.com/xid/0bdpb7jby-dompg5

Out[2]=2

In[3]:=3

✖

https://wolfram.com/xid/0bdpb7jby-lcpulf

Out[3]=3

Neat Examples (2)Surprising or curious use cases

Check that the following embeddings all correspond to the cubical graph:

In[1]:=1

✖

https://wolfram.com/xid/0bdpb7jby-v58on6

Out[1]=1

In[2]:=2

✖

https://wolfram.com/xid/0bdpb7jby-1x9w3i

Out[2]=2

In[3]:=3

✖

https://wolfram.com/xid/0bdpb7jby-8q9fym

Out[3]=3

Convert a range of special characters to entities:

In[1]:=1

✖

https://wolfram.com/xid/0bdpb7jby-jdycks

Out[1]=1

In[2]:=2

✖

https://wolfram.com/xid/0bdpb7jby-ym886v

Out[2]=2

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