15.7: Difference between revisions

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! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica
! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/15.7#Ex1 15.7#Ex1] || [[Item:Q5049|<math>t_{n} = c+n</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>t_{n} = c+n</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">t[n] = c + n</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[t, n] == c + n</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/15.7#Ex1 15.7#Ex1] || <math qid="Q5049">t_{n} = c+n</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>t_{n} = c+n</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">t[n] = c + n</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[t, n] == c + n</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/15.7#Ex2 15.7#Ex2] || [[Item:Q5050|<math>u_{2n+1} = (a+n)(c-b+n)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>u_{2n+1} = (a+n)(c-b+n)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">u[2*n + 1] = (a + n)*(c - b + n)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[u, 2*n + 1] == (a + n)*(c - b + n)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/15.7#Ex2 15.7#Ex2] || <math qid="Q5050">u_{2n+1} = (a+n)(c-b+n)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>u_{2n+1} = (a+n)(c-b+n)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">u[2*n + 1] = (a + n)*(c - b + n)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[u, 2*n + 1] == (a + n)*(c - b + n)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/15.7#Ex3 15.7#Ex3] || [[Item:Q5051|<math>u_{2n} = (b+n)(c-a+n)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>u_{2n} = (b+n)(c-a+n)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">u[2*n] = (b + n)*(c - a + n)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[u, 2*n] == (b + n)*(c - a + n)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/15.7#Ex3 15.7#Ex3] || <math qid="Q5051">u_{2n} = (b+n)(c-a+n)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>u_{2n} = (b+n)(c-a+n)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">u[2*n] = (b + n)*(c - a + n)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[u, 2*n] == (b + n)*(c - a + n)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/15.7#Ex4 15.7#Ex4] || [[Item:Q5053|<math>v_{n} = c+n+(b-a+n+1)z</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>v_{n} = c+n+(b-a+n+1)z</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">v[n] = c + n +(b - a + n + 1)*z</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[v, n] == c + n +(b - a + n + 1)*z</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/15.7#Ex4 15.7#Ex4] || <math qid="Q5053">v_{n} = c+n+(b-a+n+1)z</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>v_{n} = c+n+(b-a+n+1)z</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">v[n] = c + n +(b - a + n + 1)*z</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[v, n] == c + n +(b - a + n + 1)*z</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/15.7#Ex5 15.7#Ex5] || [[Item:Q5054|<math>w_{n} = (b+n)(c-a+n)z</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w_{n} = (b+n)(c-a+n)z</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[n] = (b + n)*(c - a + n)*z</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[w, n] == (b + n)*(c - a + n)*z</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/15.7#Ex5 15.7#Ex5] || <math qid="Q5054">w_{n} = (b+n)(c-a+n)z</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>w_{n} = (b+n)(c-a+n)z</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">w[n] = (b + n)*(c - a + n)*z</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[w, n] == (b + n)*(c - a + n)*z</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/15.7#Ex6 15.7#Ex6] || [[Item:Q5056|<math>x_{n} = c+n-(a+b+2n+1)z</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>x_{n} = c+n-(a+b+2n+1)z</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">x[n] = c + n -(a + b + 2*n + 1)*(x + y*I)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[x, n] == c + n -(a + b + 2*n + 1)*(x + y*I)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/15.7#Ex6 15.7#Ex6] || <math qid="Q5056">x_{n} = c+n-(a+b+2n+1)z</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>x_{n} = c+n-(a+b+2n+1)z</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">x[n] = c + n -(a + b + 2*n + 1)*(x + y*I)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[x, n] == c + n -(a + b + 2*n + 1)*(x + y*I)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
|- style="background: #dfe6e9;"
|- style="background: #dfe6e9;"
| [https://dlmf.nist.gov/15.7#Ex7 15.7#Ex7] || [[Item:Q5057|<math>y_{n} = (a+n)(b+n)z(1-z)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>y_{n} = (a+n)(b+n)z(1-z)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">y[n] = (a + n)*(b + n)*(x + y*I)*(1 -(x + y*I))</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[y, n] == (a + n)*(b + n)*(x + y*I)*(1 -(x + y*I))</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/15.7#Ex7 15.7#Ex7] || <math qid="Q5057">y_{n} = (a+n)(b+n)z(1-z)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>y_{n} = (a+n)(b+n)z(1-z)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">y[n] = (a + n)*(b + n)*(x + y*I)*(1 -(x + y*I))</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[y, n] == (a + n)*(b + n)*(x + y*I)*(1 -(x + y*I))</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
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Latest revision as of 11:39, 28 June 2021


DLMF Formula Constraints Maple Mathematica Symbolic
Maple 		Symbolic
Mathematica 		Numeric
Maple 		Numeric
Mathematica
15.7#Ex1 t n = c + n subscript 𝑡 𝑛 𝑐 𝑛 {\displaystyle{\displaystyle t_{n}=c+n}}
t_{n} = c+n		 

t[n] = c + n
 
Subscript[t, n] == c + n
 Skipped - no semantic math Skipped - no semantic math - -
15.7#Ex2 u 2 ⁢ n + 1 = ( a + n ) ⁢ ( c - b + n ) subscript 𝑢 2 𝑛 1 𝑎 𝑛 𝑐 𝑏 𝑛 {\displaystyle{\displaystyle u_{2n+1}=(a+n)(c-b+n)}}
u_{2n+1} = (a+n)(c-b+n)		 

u[2*n + 1] = (a + n)*(c - b + n)
 
Subscript[u, 2*n + 1] == (a + n)*(c - b + n)
 Skipped - no semantic math Skipped - no semantic math - -
15.7#Ex3 u 2 ⁢ n = ( b + n ) ⁢ ( c - a + n ) subscript 𝑢 2 𝑛 𝑏 𝑛 𝑐 𝑎 𝑛 {\displaystyle{\displaystyle u_{2n}=(b+n)(c-a+n)}}
u_{2n} = (b+n)(c-a+n)		 

u[2*n] = (b + n)*(c - a + n)
 
Subscript[u, 2*n] == (b + n)*(c - a + n)
 Skipped - no semantic math Skipped - no semantic math - -
15.7#Ex4 v n = c + n + ( b - a + n + 1 ) ⁢ z subscript 𝑣 𝑛 𝑐 𝑛 𝑏 𝑎 𝑛 1 𝑧 {\displaystyle{\displaystyle v_{n}=c+n+(b-a+n+1)z}}
v_{n} = c+n+(b-a+n+1)z		 

v[n] = c + n +(b - a + n + 1)*z
 
Subscript[v, n] == c + n +(b - a + n + 1)*z
 Skipped - no semantic math Skipped - no semantic math - -
15.7#Ex5 w n = ( b + n ) ⁢ ( c - a + n ) ⁢ z subscript 𝑤 𝑛 𝑏 𝑛 𝑐 𝑎 𝑛 𝑧 {\displaystyle{\displaystyle w_{n}=(b+n)(c-a+n)z}}
w_{n} = (b+n)(c-a+n)z		 

w[n] = (b + n)*(c - a + n)*z
 
Subscript[w, n] == (b + n)*(c - a + n)*z
 Skipped - no semantic math Skipped - no semantic math - -
15.7#Ex6 x n = c + n - ( a + b + 2 ⁢ n + 1 ) ⁢ z subscript 𝑥 𝑛 𝑐 𝑛 𝑎 𝑏 2 𝑛 1 𝑧 {\displaystyle{\displaystyle x_{n}=c+n-(a+b+2n+1)z}}
x_{n} = c+n-(a+b+2n+1)z		 

x[n] = c + n -(a + b + 2*n + 1)*(x + y*I)
 
Subscript[x, n] == c + n -(a + b + 2*n + 1)*(x + y*I)
 Skipped - no semantic math Skipped - no semantic math - -
15.7#Ex7 y n = ( a + n ) ⁢ ( b + n ) ⁢ z ⁢ ( 1 - z ) subscript 𝑦 𝑛 𝑎 𝑛 𝑏 𝑛 𝑧 1 𝑧 {\displaystyle{\displaystyle y_{n}=(a+n)(b+n)z(1-z)}}
y_{n} = (a+n)(b+n)z(1-z)		 

y[n] = (a + n)*(b + n)*(x + y*I)*(1 -(x + y*I))
 
Subscript[y, n] == (a + n)*(b + n)*(x + y*I)*(1 -(x + y*I))
 Skipped - no semantic math Skipped - no semantic math - -
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