Differences
詳細

- Differences[list]はListConvolve[{1,-1},list]と等価である.
- list の長さが l の場合,Differences[list,n]の長さは l-n になる. »
- list の長さが l の場合,Differences[list,n,s]の長さは l-nsになる.
- Differences[m,{1,0}]またはDifferences[m,1]は,2D配列あるいは行列である m の行と行の逐次差分を検索する.Differences[m,{0,1}]は列の差分を検索する.
- Differences[list,{n1,n2}]はDifferences[Differences[list,n1],{0,n2}]と等価である.
例題
すべて開くすべて閉じる例 (2)基本的な使用例
スコープ (3)標準的な使用例のスコープの概要
In[1]:=1

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https://wolfram.com/xid/0wgnmae-ioa

In[2]:=2

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https://wolfram.com/xid/0wgnmae-iqt

In[1]:=1

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https://wolfram.com/xid/0wgnmae-wkr

等間隔TimeSeriesの差分:
In[1]:=1

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https://wolfram.com/xid/0wgnmae-dpzqd7
Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0wgnmae-u5aaho
Out[2]=2

In[3]:=3

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https://wolfram.com/xid/0wgnmae-ei2yz9
Out[3]=3

In[4]:=4

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https://wolfram.com/xid/0wgnmae-dzr1nz
Out[4]=4

In[5]:=5

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https://wolfram.com/xid/0wgnmae-bzdxai
Out[5]=5

アプリケーション (3)この関数で解くことのできる問題の例
In[1]:=1

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https://wolfram.com/xid/0wgnmae-ktn
Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0wgnmae-mb1
Out[2]=2

In[1]:=1

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https://wolfram.com/xid/0wgnmae-ktb
In[2]:=2

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https://wolfram.com/xid/0wgnmae-rlv
Out[2]=2

In[1]:=1

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https://wolfram.com/xid/0wgnmae-kp47u3
Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0wgnmae-yoz18c
Out[2]=2

In[3]:=3

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https://wolfram.com/xid/0wgnmae-5n9yxs
Out[3]=3

In[4]:=4

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https://wolfram.com/xid/0wgnmae-fmmk82
Out[4]=4

In[5]:=5

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https://wolfram.com/xid/0wgnmae-ueg4y3
Out[5]=5

In[6]:=6

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https://wolfram.com/xid/0wgnmae-or46di
Out[6]=6

特性と関係 (4)この関数の特性および他の関数との関係
In[1]:=1

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https://wolfram.com/xid/0wgnmae-efw
Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0wgnmae-iyi
Out[2]=2

In[1]:=1

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https://wolfram.com/xid/0wgnmae-ffn
Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0wgnmae-cfu
Out[2]=2

In[3]:=3

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https://wolfram.com/xid/0wgnmae-rj5
Out[3]=3

In[1]:=1

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https://wolfram.com/xid/0wgnmae-ps2
Out[1]=1

FoldListはDifferencesとは逆の動作をする:
In[1]:=1

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https://wolfram.com/xid/0wgnmae-hz4
Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0wgnmae-wk1
Out[2]=2

考えられる問題 (1)よく起る問題と予期しない動作
不等間隔TimeSeriesの差分は,その値の差分とは違うことがある:
In[1]:=1

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https://wolfram.com/xid/0wgnmae-8sxf1b
Out[3]=3

In[4]:=4

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https://wolfram.com/xid/0wgnmae-o8ont5
Out[4]=4

In[5]:=5

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https://wolfram.com/xid/0wgnmae-my7jth
Out[5]=5

In[6]:=6

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https://wolfram.com/xid/0wgnmae-9fmzv3
Out[6]=6

値のDifferencesと比較する:
In[7]:=7

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https://wolfram.com/xid/0wgnmae-b8ayt4
Out[7]=7

TemporalRegularityをTrueに設定し,新たな時系列の差分を計算する:
In[8]:=8

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https://wolfram.com/xid/0wgnmae-4g7lf0
In[9]:=9

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https://wolfram.com/xid/0wgnmae-75nm6o
In[10]:=10

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https://wolfram.com/xid/0wgnmae-nvoyti
Out[10]=10

Wolfram Research (2007), Differences, Wolfram言語関数, https://reference.wolfram.com/language/ref/Differences.html (2012年に更新).
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Wolfram Research (2007), Differences, Wolfram言語関数, https://reference.wolfram.com/language/ref/Differences.html (2012年に更新).
テキスト
Wolfram Research (2007), Differences, Wolfram言語関数, https://reference.wolfram.com/language/ref/Differences.html (2012年に更新).
✖
Wolfram Research (2007), Differences, Wolfram言語関数, https://reference.wolfram.com/language/ref/Differences.html (2012年に更新).
CMS
Wolfram Language. 2007. "Differences." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2012. https://reference.wolfram.com/language/ref/Differences.html.
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Wolfram Language. 2007. "Differences." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2012. https://reference.wolfram.com/language/ref/Differences.html.
APA
Wolfram Language. (2007). Differences. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Differences.html
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Wolfram Language. (2007). Differences. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Differences.html
BibTeX
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@misc{reference.wolfram_2025_differences, author="Wolfram Research", title="{Differences}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/Differences.html}", note=[Accessed: 22-June-2025
]}
BibLaTeX
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@online{reference.wolfram_2025_differences, organization={Wolfram Research}, title={Differences}, year={2012}, url={https://reference.wolfram.com/language/ref/Differences.html}, note=[Accessed: 22-June-2025
]}