StackOverflow2013

Note that there are some explanatory texts on larger screens.

plurals

PO
primarykey
Id
9606020
data
AcceptedAnswerId
0
AnswerCount
0
ClosedDate
CommentCount
1
CommunityOwnedDate
CreationDate
2012-03-07T17:07:18.187
FavoriteCount
0
LastActivityDate
2012-03-07T19:36:12.063
LastEditDate
2012-03-07T19:36:12.063
LastEditorUserId
1045909
OwnerUserId
1045909
ParentId
9605214
PostTypeId
2
Score
5
ViewCount
0
LastEditorDisplayName
text
Body
The problem is that what you assume to be "Simple" and what MMA assumes to be simple are two different things. Taking a look at <a href="http://reference.wolfram.com/mathematica/ref/ComplexityFunction.html" rel="nofollow">ComplexityFunction</a> indicates that MMA primarily looks at "LeafCount". Applying LeafCount gives: <pre><code>In[3]:= Abs[q + I w] // LeafCount Out[3]= 8 In[4]:= Sqrt[q^2 + w^2] // LeafCount Out[4]= 11 </code></pre> So, MMA considers the <code>Abs</code> form to be better. (One can visually explore the simplicity using either TreeForm or FullForm). What we need to do is tell MMA to treat MMA as more expensive. To do this, we take the example from <a href="http://reference.wolfram.com/mathematica/ref/ComplexityFunction.html" rel="nofollow">ComplexityFunction</a> and write: <pre><code>In[7]:= f[e_] := 100 Count[e, _Abs, {0, Infinity}] + LeafCount[e] FullSimplify[Abs[q + I w], Element[{q, w}, Reals], ComplexityFunction -> f] Out[8]= Sqrt[q^2 + w^2] </code></pre> As requested. Basically, we are telling MMA through <code>f[e]</code> that the count of all parts of the form <code>Abs</code> should count as 100 leaves. EDIT: As mentioned by Brett, you can also make it more general, and use <code>_Complex</code> as the rule to look for: <pre><code>In[20]:= f[e_] := 100 Count[e, _Complex, {0, Infinity}] + LeafCount[e] FullSimplify[Abs[q + I w], Element[{q, w}, Reals], ComplexityFunction -> f] Out[21]= Sqrt[q^2 + w^2] </code></pre>
Tags
Title
singulars
PostAcceptedAnswerId
1. This table or related slice is empty.
PostParentId
1. POMathematica does not calculate absolute values of a complex number with real coefficients
 singulars
 PostTypePostTypeId
 PTQuestion
PostTypePostTypeId
1. PTAnswer
UserLastEditorUserId
1. UStkott
UserOwnerUserId
1. UStkott
plurals
PostLinksPostIdRelatedPostId
1. This table or related slice is empty.
PostLinksRelatedPostIdPostId
1. This table or related slice is empty.
PostsAcceptedAnswerId
1. POMathematica does not calculate absolute values of a complex number with real coefficients
 singulars
 PostTypePostTypeId
 PTQuestion
PostsParentIdCreationDate
1. This table or related slice is empty.
VotesPostIdCreationDate
1. VO
 singulars
 PostPostId
 PO
 UserUserId
 This table or related slice is empty.
 VoteTypeVoteTypeId
 VTUpMod
2. VO
 singulars
 PostPostId
 PO
 UserUserId
 This table or related slice is empty.
 VoteTypeVoteTypeId
 VTUpMod
3. VO
 singulars
 PostPostId
 PO
 UserUserId
 This table or related slice is empty.
 VoteTypeVoteTypeId
 VTUpMod
CommentsPostId
1. COTrue, and is also beneficial in being more general against all complex numbers.
 singulars
 PostPostId
 PO
 UserUserId
 UStkott

Querying!

Guidance

A row detail

Detail views are divided into sections. All the information in the data section comes from columns in the selected row. The other sections display data from other, related rows.

Related data can be related in a to-one or a to-many fashion. Captions of data related in a to-many fashion link to a list view showing a filtered view of the table.

Try moving around until you find a non-empty to-many entry and click on the label to get to one. You can move back to the root by clicking on the database name in the header.