Combine `Table` with `Riffle`

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I have table of function f[x,a]. For the sake of easy reproduction, let's limit it to a few entries - the original is over 1000 x 1000:

actualtable=Table[f[x, a], x, 0, 4, a, 1, 4]
*f[0, 1], f[0, 2], f[0, 3], f[0, 4], f[1, 1], f[1, 2], f[1, 3], 
f[1, 4], f[2, 1], f[2, 2], f[2, 3], f[2, 4], f[3, 1], f[3, 2], 
f[3, 3], f[3, 4], f[4, 1], f[4, 2], f[4, 3], f[4, 4]*

I want to find a way to interject a value m between each list item, to create

desiredtable=f[0, 1], m, f[0, 2], m, f[0, 3], m, f[0, 4], f[1, 1], m, f[1, 2], 
m, f[1, 3], m, f[1, 4], f[2, 1], m, f[2, 2], m, f[2, 3], m, 
f[2, 4], f[3, 1], m, f[3, 2], m, f[3, 3], m, f[3, 4], f[4, 1], 
m, f[4, 2], m, f[4, 3], m, f[4, 4]

I tried using Riffle in conjunction with Table, but it only injects m in between lines, rather than in between individual entries.

Obviously, with a tiny table like this, it's easy, I can just type in the ms, or type the Riffle command once for each line of the output.

But for a very big table, how do I do it?

asked 1 hour ago

Richard Burke-Ward

3237

add a commentÂ |Â

up vote
3
down vote

favorite

I have table of function f[x,a]. For the sake of easy reproduction, let's limit it to a few entries - the original is over 1000 x 1000:

actualtable=Table[f[x, a], x, 0, 4, a, 1, 4]
*f[0, 1], f[0, 2], f[0, 3], f[0, 4], f[1, 1], f[1, 2], f[1, 3], 
f[1, 4], f[2, 1], f[2, 2], f[2, 3], f[2, 4], f[3, 1], f[3, 2], 
f[3, 3], f[3, 4], f[4, 1], f[4, 2], f[4, 3], f[4, 4]*

I want to find a way to interject a value m between each list item, to create

desiredtable=f[0, 1], m, f[0, 2], m, f[0, 3], m, f[0, 4], f[1, 1], m, f[1, 2], 
m, f[1, 3], m, f[1, 4], f[2, 1], m, f[2, 2], m, f[2, 3], m, 
f[2, 4], f[3, 1], m, f[3, 2], m, f[3, 3], m, f[3, 4], f[4, 1], 
m, f[4, 2], m, f[4, 3], m, f[4, 4]

I tried using Riffle in conjunction with Table, but it only injects m in between lines, rather than in between individual entries.

Obviously, with a tiny table like this, it's easy, I can just type in the ms, or type the Riffle command once for each line of the output.

But for a very big table, how do I do it?

asked 1 hour ago

Richard Burke-Ward

3237

add a commentÂ |Â

up vote
3
down vote

favorite

I have table of function f[x,a]. For the sake of easy reproduction, let's limit it to a few entries - the original is over 1000 x 1000:

actualtable=Table[f[x, a], x, 0, 4, a, 1, 4]
*f[0, 1], f[0, 2], f[0, 3], f[0, 4], f[1, 1], f[1, 2], f[1, 3], 
f[1, 4], f[2, 1], f[2, 2], f[2, 3], f[2, 4], f[3, 1], f[3, 2], 
f[3, 3], f[3, 4], f[4, 1], f[4, 2], f[4, 3], f[4, 4]*

I want to find a way to interject a value m between each list item, to create

desiredtable=f[0, 1], m, f[0, 2], m, f[0, 3], m, f[0, 4], f[1, 1], m, f[1, 2], 
m, f[1, 3], m, f[1, 4], f[2, 1], m, f[2, 2], m, f[2, 3], m, 
f[2, 4], f[3, 1], m, f[3, 2], m, f[3, 3], m, f[3, 4], f[4, 1], 
m, f[4, 2], m, f[4, 3], m, f[4, 4]

I tried using Riffle in conjunction with Table, but it only injects m in between lines, rather than in between individual entries.

Obviously, with a tiny table like this, it's easy, I can just type in the ms, or type the Riffle command once for each line of the output.

But for a very big table, how do I do it?

asked 1 hour ago

Richard Burke-Ward

3237

I have table of function f[x,a]. For the sake of easy reproduction, let's limit it to a few entries - the original is over 1000 x 1000:

actualtable=Table[f[x, a], x, 0, 4, a, 1, 4]
*f[0, 1], f[0, 2], f[0, 3], f[0, 4], f[1, 1], f[1, 2], f[1, 3], 
f[1, 4], f[2, 1], f[2, 2], f[2, 3], f[2, 4], f[3, 1], f[3, 2], 
f[3, 3], f[3, 4], f[4, 1], f[4, 2], f[4, 3], f[4, 4]*

I want to find a way to interject a value m between each list item, to create

desiredtable=f[0, 1], m, f[0, 2], m, f[0, 3], m, f[0, 4], f[1, 1], m, f[1, 2], 
m, f[1, 3], m, f[1, 4], f[2, 1], m, f[2, 2], m, f[2, 3], m, 
f[2, 4], f[3, 1], m, f[3, 2], m, f[3, 3], m, f[3, 4], f[4, 1], 
m, f[4, 2], m, f[4, 3], m, f[4, 4]

I tried using Riffle in conjunction with Table, but it only injects m in between lines, rather than in between individual entries.

Obviously, with a tiny table like this, it's easy, I can just type in the ms, or type the Riffle command once for each line of the output.

But for a very big table, how do I do it?

list-manipulation table

asked 1 hour ago

Richard Burke-Ward

3237

asked 1 hour ago

Richard Burke-Ward

3237

asked 1 hour ago

Richard Burke-Ward

3237

asked 1 hour ago

Richard Burke-Ward

3237

asked 1 hour ago

Richard Burke-Ward

3237

add a commentÂ |Â

1 Answer
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Map Riffle to each of the element of actualTable:

 desiredtable = Riffle[#, "m"] & /@ actualtable

(* f[0, 1], "m", f[0, 2], "m", f[0, 3], "m", f[0, 4], f[1, 1], "m",
f[1, 2], "m", f[1, 3], "m", f[1, 4], f[2, 1], "m", f[2, 2], "m",
f[2, 3], "m", f[2, 4], f[3, 1], "m", f[3, 2], "m", f[3, 3], "m",
f[3, 4], f[4, 1], "m", f[4, 2], "m", f[4, 3], "m", f[4, 4]*)

answered 1 hour ago

FredrikD

5071521

Perfect. Thanks.
â€“Â Richard Burke-Ward
1 hour ago

add a commentÂ |Â

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1 Answer
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active

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1 Answer
1

active

oldest

votes

up vote
2
down vote

accepted

Map Riffle to each of the element of actualTable:

 desiredtable = Riffle[#, "m"] & /@ actualtable

answered 1 hour ago

FredrikD

5071521

Perfect. Thanks.
â€“Â Richard Burke-Ward
1 hour ago

add a commentÂ |Â

up vote
2
down vote

accepted

Map Riffle to each of the element of actualTable:

 desiredtable = Riffle[#, "m"] & /@ actualtable

answered 1 hour ago

FredrikD

5071521

Perfect. Thanks.
â€“Â Richard Burke-Ward
1 hour ago

add a commentÂ |Â

up vote
2
down vote

accepted

Map Riffle to each of the element of actualTable:

 desiredtable = Riffle[#, "m"] & /@ actualtable

answered 1 hour ago

FredrikD

5071521

Map Riffle to each of the element of actualTable:

 desiredtable = Riffle[#, "m"] & /@ actualtable

answered 1 hour ago

FredrikD

5071521

answered 1 hour ago

FredrikD

5071521

answered 1 hour ago

FredrikD

5071521

answered 1 hour ago

FredrikD

5071521

Perfect. Thanks.
â€“Â Richard Burke-Ward
1 hour ago

add a commentÂ |Â

Perfect. Thanks.
â€“Â Richard Burke-Ward
1 hour ago

Perfect. Thanks.
â€“Â Richard Burke-Ward
1 hour ago

add a commentÂ |Â

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