From bc0245f0be38e547ad76bcd719c6dedbb161f0f4 Mon Sep 17 00:00:00 2001 From: Marshall Lochbaum Date: Mon, 24 Jan 2022 20:18:08 -0500 Subject: Remove extra leading spaces from code examples --- docs/help/absolutevalue_modulus.html | 8 ++++---- docs/help/after_bind.html | 16 ++++++++-------- docs/help/assert_assertwithmessage.html | 12 ++++++------ docs/help/atop.html | 10 +++++----- docs/help/before_bind.html | 16 ++++++++-------- docs/help/catch.html | 4 ++-- docs/help/ceiling_maximum.html | 6 +++--- docs/help/cells.html | 6 +++--- docs/help/choose.html | 10 +++++----- docs/help/classify_indexof.html | 12 ++++++------ docs/help/conjugate_add.html | 10 +++++----- docs/help/constant.html | 4 ++-- docs/help/deduplicate_find.html | 16 ++++++++-------- docs/help/depth.html | 4 ++-- docs/help/depth_match.html | 10 +++++----- docs/help/deshape_reshape.html | 10 +++++----- docs/help/each.html | 4 ++-- docs/help/enclose_lessthan.html | 8 ++++---- docs/help/enlist_pair.html | 10 +++++----- docs/help/exponential_power.html | 8 ++++---- docs/help/first_pick.html | 12 ++++++------ docs/help/firstcell_select.html | 12 ++++++------ docs/help/floor_minimum.html | 6 +++--- docs/help/fold.html | 16 ++++++++-------- docs/help/gradedown_binsdown.html | 10 +++++----- docs/help/gradeup_binsup.html | 10 +++++----- docs/help/greaterthanorequalto.html | 4 ++-- docs/help/groupindices_group.html | 10 +++++----- docs/help/identity_left.html | 6 +++--- docs/help/identity_right.html | 6 +++--- docs/help/indices_replicate.html | 8 ++++---- docs/help/insert.html | 14 +++++++------- docs/help/join_jointo.html | 14 +++++++------- docs/help/length_notequals.html | 16 ++++++++-------- docs/help/lessthanorequalto.html | 4 ++-- docs/help/markfirst_memberof.html | 14 +++++++------- docs/help/merge_greaterthan.html | 14 +++++++------- docs/help/negate_subtract.html | 12 ++++++------ docs/help/not_span.html | 8 ++++---- docs/help/occurrencecount_progressiveindexof.html | 8 ++++---- docs/help/over.html | 10 +++++----- docs/help/prefixes_take.html | 16 ++++++++-------- docs/help/range_windows.html | 10 +++++----- docs/help/rank.html | 4 ++-- docs/help/rank_equals.html | 14 +++++++------- docs/help/reciprocal_divide.html | 2 +- docs/help/repeat.html | 6 +++--- docs/help/reverse_rotate.html | 12 ++++++------ docs/help/scan.html | 16 ++++++++-------- docs/help/self_swap.html | 8 ++++---- docs/help/shape_notmatch.html | 10 +++++----- docs/help/shiftafter.html | 12 ++++++------ docs/help/shiftbefore.html | 12 ++++++------ docs/help/sign_multiply.html | 6 +++--- docs/help/solo_couple.html | 14 +++++++------- docs/help/sortdown_or.html | 8 ++++---- docs/help/sortup_and.html | 6 +++--- docs/help/squareroot_root.html | 6 +++--- docs/help/suffixes_drop.html | 16 ++++++++-------- docs/help/table.html | 4 ++-- docs/help/transpose_reorderaxes.html | 12 ++++++------ docs/help/under.html | 6 +++--- docs/help/undo.html | 12 ++++++------ docs/help/valences.html | 8 ++++---- 64 files changed, 309 insertions(+), 309 deletions(-) (limited to 'docs/help') diff --git a/docs/help/absolutevalue_modulus.html b/docs/help/absolutevalue_modulus.html index ff360249..0f907bf0 100644 --- a/docs/help/absolutevalue_modulus.html +++ b/docs/help/absolutevalue_modulus.html @@ -8,18 +8,18 @@

| ๐•ฉ: Absolute Value

Absolute Value of ๐•ฉ.

Pervasive.

-โ†—๏ธ
      | ยฏ2
+โ†—๏ธ
    | ยฏ2
 2
 
-      | 1โ€ฟ3โ€ฟยฏ4โ€ฟ3
+    | 1โ€ฟ3โ€ฟยฏ4โ€ฟ3
 โŸจ 1 3 4 3 โŸฉ
 

๐•จ | ๐•ฉ: Modulus

Remainder of ๐•ฉ divided by ๐•จ.

Pervasive.

-โ†—๏ธ
      1 | 3
+โ†—๏ธ
    1 | 3
 0
 
-      2 | 3โ€ฟ4โ€ฟยฏ5
+    2 | 3โ€ฟ4โ€ฟยฏ5
 โŸจ 1 0 1 โŸฉ
 
diff --git a/docs/help/after_bind.html b/docs/help/after_bind.html index f14f5386..8ef227af 100644 --- a/docs/help/after_bind.html +++ b/docs/help/after_bind.html @@ -8,33 +8,33 @@

๐”ฝโŸœ๐•˜ ๐•ฉ: Bind

Supply ๐•˜ as a right argument to ๐”ฝ (๐•ฉ ๐”ฝ ๐•˜).

๐•˜ is a constant, ๐”ฝ must be dyadic.

-โ†—๏ธ
       -โŸœ3 9
+โ†—๏ธ
    -โŸœ3 9
 6
 
-       - 3 9
+    - 3 9
 Error: Double subjects (missing โ€ฟ?)
 
-       9 - 3
+    9 - 3
 6
 

๐”ฝโŸœ๐”พ ๐•ฉ: After

Apply ๐”พ to ๐•ฉ, and supply it as a right argument to ๐”ฝ (๐•ฉ ๐”ฝ (๐”พ ๐•ฉ)).

๐”ฝ must be dyadic, ๐”พ must be monadic.

-โ†—๏ธ
       ร—โŸœ- 9
+โ†—๏ธ
    ร—โŸœ- 9
 ยฏ81
 
-       ร— - 9
+    ร— - 9
 ยฏ1
 
-       9 ร— (- 9)
+    9 ร— (- 9)
 ยฏ81
 

๐•จ ๐”ฝโŸœ๐”พ ๐•ฉ: Dyadic After

Apply ๐”พ to ๐•ฉ, and supply it as a right argument to ๐”ฝ (๐•จ ๐”ฝ (๐”พ ๐•ฉ)).

๐”ฝ must be dyadic, ๐”พ must be monadic.

-โ†—๏ธ
       2 ร—โŸœ- 1
+โ†—๏ธ
    2 ร—โŸœ- 1
 ยฏ2
 
-       2 ร— (- 1)
+    2 ร— (- 1)
 ยฏ2
 
diff --git a/docs/help/assert_assertwithmessage.html b/docs/help/assert_assertwithmessage.html index 92140c18..4ea46b7b 100644 --- a/docs/help/assert_assertwithmessage.html +++ b/docs/help/assert_assertwithmessage.html @@ -7,23 +7,23 @@

Exclamation Mark (!)

! ๐•ฉ: Assert

Throw an error if ๐•ฉ is not 1.

-โ†—๏ธ
       ! 1
+โ†—๏ธ
    ! 1
 1
 
-       ! 2
+    ! 2
 Error: Assertion error
 
-       ! "hello"
+    ! "hello"
 Error: hello
 

๐•จ ! ๐•ฉ: Assert With Message

Throw an error with message ๐•จ if ๐•ฉ is not 1.

-โ†—๏ธ
       "hi" ! 1
+โ†—๏ธ
    "hi" ! 1
 1
 
-       "two" ! 2
+    "two" ! 2
 Error: two
 
-       "hello error" ! "hello"
+    "hello error" ! "hello"
 Error: hello error
 
diff --git a/docs/help/atop.html b/docs/help/atop.html index 57c7bf3a..02764808 100644 --- a/docs/help/atop.html +++ b/docs/help/atop.html @@ -8,21 +8,21 @@

๐”ฝโˆ˜๐”พ ๐•ฉ: Atop

Apply ๐”พ to ๐•ฉ, then apply ๐”ฝ (๐”ฝ ๐”พ ๐•ฉ).

๐”ฝ and ๐”พ must be monadic.

-โ†—๏ธ
       -โˆ˜- 5
+โ†—๏ธ
    -โˆ˜- 5
 5
 
-       - - 5
+    - - 5
 5
 

๐•จ ๐”ฝโˆ˜๐”พ ๐•ฉ: Dyadic Atop

Apply ๐”พ to ๐•จ and ๐•ฉ, then apply ๐”ฝ (๐”ฝ (๐•จ ๐”พ ๐•ฉ)).

๐”ฝ must be monadic, and ๐”พ must be dyadic.

-โ†—๏ธ
       1 -โˆ˜+ 2
+โ†—๏ธ
    1 -โˆ˜+ 2
 ยฏ3
 
-       1 - + 2
+    1 - + 2
 ยฏ1
 
-       - 1 + 2
+    - 1 + 2
 ยฏ3
 
diff --git a/docs/help/before_bind.html b/docs/help/before_bind.html index 3ae101c6..c9f0ca0b 100644 --- a/docs/help/before_bind.html +++ b/docs/help/before_bind.html @@ -8,33 +8,33 @@

๐•—โŠธ๐”พ ๐•ฉ: Bind Left

Supply ๐•— as a left argument to ๐”พ (๐•— ๐”พ ๐•ฉ).

๐•— is a constant, ๐”พ must be dyadic.

-โ†—๏ธ
       3โŠธ- 9
+โ†—๏ธ
    3โŠธ- 9
 ยฏ6
 
-       3 - 9
+    3 - 9
 ยฏ6
 

๐”ฝโŠธ๐”พ ๐•ฉ: Before

Apply ๐”ฝ to ๐•ฉ, and supply it as a left argument to ๐”พ ((๐”ฝ ๐•ฉ) ๐”พ ๐•ฉ).

๐”ฝ must be monadic, ๐”พ must be dyadic.

-โ†—๏ธ
       -โŠธ+ 9
+โ†—๏ธ
    -โŠธ+ 9
 0
 
-       - + 9
+    - + 9
 ยฏ9
 
-       (- 9) + 9
+    (- 9) + 9
 0
 

๐•จ ๐”ฝโŠธ๐”พ ๐•ฉ: Dyadic Before

Apply ๐”ฝ to ๐•จ, and supply it as a left argument to ๐”พ ((๐”ฝ ๐•จ) ๐”พ ๐•ฉ).

๐”ฝ must be monadic, ๐”พ must be dyadic.

-โ†—๏ธ
       2 -โŠธ+ 1
+โ†—๏ธ
    2 -โŠธ+ 1
 ยฏ1
 
-       2 - + 1
+    2 - + 1
 1
 
-       (- 2) + 1
+    (- 2) + 1
 ยฏ1
 
diff --git a/docs/help/catch.html b/docs/help/catch.html index 2612567b..e98292e1 100644 --- a/docs/help/catch.html +++ b/docs/help/catch.html @@ -9,9 +9,9 @@

Apply ๐”ฝ to the arguments.

If an error happens when ๐”ฝ is applied, cancel its execution, apply ๐”พ to the arguments and return its result.

Otherwise, return the result of ๐”ฝ.

-โ†—๏ธ
       โˆพโŽŠ{"error occurred with argument: "โˆพโ€ขFmt ๐•ฉ} 1
+โ†—๏ธ
    โˆพโŽŠ{"error occurred with argument: "โˆพโ€ขFmt ๐•ฉ} 1
 "error occurred with argument: 1"
 
-       โˆพโŽŠ{"error occurred with argument: "โˆพโ€ขFmt ๐•ฉ} โŸจโŸจ1,2โŸฉ, โŸจ3,4โŸฉโŸฉ
+    โˆพโŽŠ{"error occurred with argument: "โˆพโ€ขFmt ๐•ฉ} โŸจโŸจ1,2โŸฉ, โŸจ3,4โŸฉโŸฉ
 โŸจ 1 2 3 4 โŸฉ
 
diff --git a/docs/help/ceiling_maximum.html b/docs/help/ceiling_maximum.html index 9b0ab05e..cfa73dbd 100644 --- a/docs/help/ceiling_maximum.html +++ b/docs/help/ceiling_maximum.html @@ -8,15 +8,15 @@

โŒˆ ๐•ฉ: Ceiling

Round ๐•ฉ up to the nearest integer.

Pervasive.

-โ†—๏ธ
      โŒˆ 1.2โ€ฟฯ€โ€ฟ3โ€ฟ7.89
+โ†—๏ธ
    โŒˆ 1.2โ€ฟฯ€โ€ฟ3โ€ฟ7.89
 โŸจ 2 4 3 8 โŸฉ
 

๐•จ โŒˆ ๐•ฉ: Maximum

Maximum of ๐•จ and ๐•ฉ.

Pervasive.

-โ†—๏ธ
      1 โŒˆ 2
+โ†—๏ธ
    1 โŒˆ 2
 2
 
-      2โ€ฟ3 โŒˆ 4โ€ฟ2
+    2โ€ฟ3 โŒˆ 4โ€ฟ2
 โŸจ 4 3 โŸฉ
 
diff --git a/docs/help/cells.html b/docs/help/cells.html index aa8bd55f..4d123802 100644 --- a/docs/help/cells.html +++ b/docs/help/cells.html @@ -7,13 +7,13 @@

Breve (ห˜)

๐”ฝห˜ ๐•ฉ, ๐•จ ๐”ฝห˜ ๐•ฉ: Cells

Apply ๐”ฝ to/between the major cells of the arguments. (๐”ฝโމยฏ1)

-โ†—๏ธ
       a โ† 3โ€ฟ3 โฅŠ โ†•9
+โ†—๏ธ
    a โ† 3โ€ฟ3 โฅŠ โ†•9
 
 
-       <ห˜ a
+    <ห˜ a
 โŸจ โŸจ 0 1 2 โŸฉ โŸจ 3 4 5 โŸฉ โŸจ 6 7 8 โŸฉ โŸฉ
 
-       a โ‰ห˜ a
+    a โ‰ห˜ a
 โ”Œโ”€       
 โ•Ž 0 1 2  
   0 1 2  
diff --git a/docs/help/choose.html b/docs/help/choose.html
index a337eebf..f56496f0 100644
--- a/docs/help/choose.html
+++ b/docs/help/choose.html
@@ -7,17 +7,17 @@
 

Circle with Lower Right Quadrant (โ—ถ)

๐”ฝโ—ถ๐•˜ ๐•ฉ, ๐•จ ๐”ฝโ—ถ๐•˜ ๐•ฉ: Choose

Apply ๐”ฝ to the arguments and use the result to pick (โŠ‘) a function from list ๐•˜. Apply the picked function to the arguments.

-โ†—๏ธ
       F โ† โŠขโ—ถ+โ€ฟ-โ€ฟรทโ€ฟร—
+โ†—๏ธ
    F โ† โŠขโ—ถ+โ€ฟ-โ€ฟรทโ€ฟร—
 
-       F 0
+    F 0
 0
 
-       F 1
+    F 1
 ยฏ1
 
-       F 2
+    F 2
 0.5
 
-       F 3
+    F 3
 1
 
diff --git a/docs/help/classify_indexof.html b/docs/help/classify_indexof.html index 43cc25fe..20149d89 100644 --- a/docs/help/classify_indexof.html +++ b/docs/help/classify_indexof.html @@ -7,22 +7,22 @@

Square Original Of (โА)

โА ๐•ฉ: Classify

Translate major cells of ๐•ฉ to unique ID numbers based on first occurrence.

-โ†—๏ธ
       โА 5โ€ฟ6โ€ฟ2โ€ฟ2โ€ฟ5โ€ฟ1
+โ†—๏ธ
    โА 5โ€ฟ6โ€ฟ2โ€ฟ2โ€ฟ5โ€ฟ1
 โŸจ 0 1 2 2 0 3 โŸฉ
 
-       a โ† 3โ€ฟ3 โฅŠ 0โ€ฟ1โ€ฟ2โ€ฟ9โ€ฟ0โ€ฟ9โ€ฟ0โ€ฟ1โ€ฟ2
+    a โ† 3โ€ฟ3 โฅŠ 0โ€ฟ1โ€ฟ2โ€ฟ9โ€ฟ0โ€ฟ9โ€ฟ0โ€ฟ1โ€ฟ2
 
-       โА a
+    โА a
 โŸจ 0 1 0 โŸฉ
 

๐•จ โА ๐•ฉ: Index Of

First index of each major cell of ๐•ฉ in ๐•จ. Rank of ๐•ฉ must be at least cell rank of ๐•จ.

If a cell is not found in ๐•จ, the length of ๐•จ (โ‰ ๐•จ) is used for that position.

-โ†—๏ธ
       5โ€ฟ6โ€ฟ2โ€ฟ2โ€ฟ5โ€ฟ1 โА 5โ€ฟ7โ€ฟ1โ€ฟ6
+โ†—๏ธ
    5โ€ฟ6โ€ฟ2โ€ฟ2โ€ฟ5โ€ฟ1 โА 5โ€ฟ7โ€ฟ1โ€ฟ6
 โŸจ 0 6 5 1 โŸฉ
 
-       b โ† 3โ€ฟ3 โฅŠ 0โ€ฟ1โ€ฟ2โ€ฟ9โ€ฟ0โ€ฟ9โ€ฟ0โ€ฟ1โ€ฟ2
+    b โ† 3โ€ฟ3 โฅŠ 0โ€ฟ1โ€ฟ2โ€ฟ9โ€ฟ0โ€ฟ9โ€ฟ0โ€ฟ1โ€ฟ2
 
-       b โА โ‰9โ€ฟ0โ€ฟ9
+    b โА โ‰9โ€ฟ0โ€ฟ9
 โŸจ 1 โŸฉ
 
diff --git a/docs/help/conjugate_add.html b/docs/help/conjugate_add.html index 90d6575d..d7a40f8a 100644 --- a/docs/help/conjugate_add.html +++ b/docs/help/conjugate_add.html @@ -7,21 +7,21 @@

Plus (+)

+ ๐•ฉ: Conjugate

Complex conjugate of ๐•ฉ. BQN doesn't support complex numbers yet, so it has no effect.

-โ†—๏ธ
      + 1
+โ†—๏ธ
    + 1
 1
 
-      + ยฏ1
+    + ยฏ1
 ยฏ1
 

๐•จ + ๐•ฉ: Add

๐•จ added to ๐•ฉ. Either ๐•จ or ๐•ฉ can be a character, and if so, the other has to be an integer.

Pervasive.

-โ†—๏ธ
      1 + 2
+โ†—๏ธ
    1 + 2
 3
 
-      1 + 2โ€ฟ3โ€ฟ4
+    1 + 2โ€ฟ3โ€ฟ4
 โŸจ 3 4 5 โŸฉ
 
-      'a' + 4
+    'a' + 4
 'e'
 
diff --git a/docs/help/constant.html b/docs/help/constant.html index 39d27160..17ba5562 100644 --- a/docs/help/constant.html +++ b/docs/help/constant.html @@ -7,9 +7,9 @@

Dot Above (ห™)

๐”ฝห™ ๐•ฉ, ๐•จ ๐”ฝห™ ๐•ฉ: Constant

Returns a function that will always return ๐•—.

-โ†—๏ธ
       "hello" 1ห™ 2
+โ†—๏ธ
    "hello" 1ห™ 2
 1
 
-       "hello" {๐•จ+๐•ฉ}ห™ 2
+    "hello" {๐•จ+๐•ฉ}ห™ 2
 (function block)
 
diff --git a/docs/help/deduplicate_find.html b/docs/help/deduplicate_find.html index cefe3b8f..917a2cff 100644 --- a/docs/help/deduplicate_find.html +++ b/docs/help/deduplicate_find.html @@ -7,12 +7,12 @@

Epsilon Underbar (โท)

โท ๐•ฉ: Deduplicate

Unique major cells of ๐•ฉ.

-โ†—๏ธ
       โท 4โ€ฟ5โ€ฟ6โ€ฟ6โ€ฟ4โ€ฟ7โ€ฟ5
+โ†—๏ธ
    โท 4โ€ฟ5โ€ฟ6โ€ฟ6โ€ฟ4โ€ฟ7โ€ฟ5
 โŸจ 4 5 6 7 โŸฉ
 
-       a โ† 3โ€ฟ3 โฅŠ โ†•6
+    a โ† 3โ€ฟ3 โฅŠ โ†•6
 
-       โท a
+    โท a
 โ”Œโ”€       
 โ•ต 0 1 2  
   3 4 5  
@@ -21,17 +21,17 @@
 

๐•จ โท ๐•ฉ: Find

Mark the top left location of the occurrences of ๐•จ in ๐•ฉ with a 1, and other locations with 0.

Result is the same shape as (โ‰ข๐•จ)โ†•x.

-โ†—๏ธ
       "string" โท "substring"
+โ†—๏ธ
    "string" โท "substring"
 โŸจ 0 0 0 1 โŸฉ
 
-       "loooooong" โท "short"
+    "loooooong" โท "short"
 โŸจโŸฉ
 
-       b โ† 7 (4|โ‹†หœ)โŒœโ—‹โ†• 9
+    b โ† 7 (4|โ‹†หœ)โŒœโ—‹โ†• 9
 
-       c โ† (0โ€ฟ3โ€ฟ0โ‰0โ€ฟ1โ€ฟ0)
+    c โ† (0โ€ฟ3โ€ฟ0โ‰0โ€ฟ1โ€ฟ0)
 
-       c โท b
+    c โท b
 โ”Œโ”€               
 โ•ต 0 0 0 0 0 0 0  
   0 0 0 0 0 0 0  
diff --git a/docs/help/depth.html b/docs/help/depth.html
index 5824fc71..60a8f01a 100644
--- a/docs/help/depth.html
+++ b/docs/help/depth.html
@@ -7,9 +7,9 @@
 

Circle With Two Dots (โš‡)

๐”ฝโš‡๐•˜ ๐•ฉ, ๐•จ ๐”ฝโš‡๐•˜ ๐•ฉ: Depth

Apply ๐”ฝ to the cells of the arguments at depth given in ๐•˜.

-โ†—๏ธ
       1โŠธโ†“โš‡1 โŸจโŸจ1,2,3โŸฉ, โŸจ4,5,6โŸฉโŸฉ
+โ†—๏ธ
    1โŠธโ†“โš‡1 โŸจโŸจ1,2,3โŸฉ, โŸจ4,5,6โŸฉโŸฉ
 โŸจ โŸจ 2 3 โŸฉ โŸจ 5 6 โŸฉ โŸฉ
 
-       1 โ†“โš‡1 โŸจโŸจ1,2,3โŸฉ, โŸจ4,5,6โŸฉโŸฉ
+    1 โ†“โš‡1 โŸจโŸจ1,2,3โŸฉ, โŸจ4,5,6โŸฉโŸฉ
 โŸจ โŸจ 2 3 โŸฉ โŸจ 5 6 โŸฉ โŸฉ
 
diff --git a/docs/help/depth_match.html b/docs/help/depth_match.html index 5087c84f..90bf93bc 100644 --- a/docs/help/depth_match.html +++ b/docs/help/depth_match.html @@ -7,20 +7,20 @@

Identical To (โ‰ก)

โ‰ก ๐•ฉ: Depth

Highest level of nesting in ๐•ฉ.

-โ†—๏ธ
      โ‰ก 2โ€ฟ3โ€ฟ4
+โ†—๏ธ
    โ‰ก 2โ€ฟ3โ€ฟ4
 1
 
-      โ‰ก โŸจ2,<3,4,<<<5โŸฉ
+    โ‰ก โŸจ2,<3,4,<<<5โŸฉ
 4
 
-      โ‰ก 9
+    โ‰ก 9
 0
 

๐•จ โ‰ก ๐•ฉ: Match

Does ๐•จ exactly match ๐•ฉ?

-โ†—๏ธ
      1 โ‰ก โŸจ1โŸฉ
+โ†—๏ธ
    1 โ‰ก โŸจ1โŸฉ
 0
 
-      โŸจ1โŸฉ โ‰ก โŸจ1โŸฉ
+    โŸจ1โŸฉ โ‰ก โŸจ1โŸฉ
 1
 
diff --git a/docs/help/deshape_reshape.html b/docs/help/deshape_reshape.html index e4a4b266..bdc2f111 100644 --- a/docs/help/deshape_reshape.html +++ b/docs/help/deshape_reshape.html @@ -7,10 +7,10 @@

Barb (โฅŠ)

โฅŠ ๐•ฉ: Deshape

Put all elements of ๐•ฉ in a rank 1 array, promoting to an array if necessary.

-โ†—๏ธ
          โฅŠ 1
+โ†—๏ธ
    โฅŠ 1
 โŸจ 1 โŸฉ
 
-          โฅŠ 1โ€ฟ2 โ‰ 3โ€ฟ4
+    โฅŠ 1โ€ฟ2 โ‰ 3โ€ฟ4
 โŸจ 1 2 3 4 โŸฉ
 

๐•จ โฅŠ ๐•ฉ: Reshape

@@ -22,21 +22,21 @@
  • โŒฝ Round length up
  • โ†‘ Round length up, and use element fill to add extra elements.
  • -โ†—๏ธ
              3โ€ฟ3 โฅŠ 3
    +โ†—๏ธ
        3โ€ฟ3 โฅŠ 3
     โ”Œโ”€       
     โ•ต 3 3 3  
       3 3 3  
       3 3 3  
             โ”˜
     
    -          2โ€ฟโŒฝโ€ฟ2 โฅŠ 1โ€ฟ2โ€ฟ3
    +    2โ€ฟโŒฝโ€ฟ2 โฅŠ 1โ€ฟ2โ€ฟ3
     โ”Œโ”€     
     โ•Ž 1 2  
            
       3 1  
           โ”˜
     
    -          2โ€ฟโ†‘โ€ฟ2 โฅŠ 1โ€ฟ2โ€ฟ3
    +    2โ€ฟโ†‘โ€ฟ2 โฅŠ 1โ€ฟ2โ€ฟ3
     โ”Œโ”€     
     โ•Ž 1 2  
            
    diff --git a/docs/help/each.html b/docs/help/each.html
    index 847fb59e..da13f6f3 100644
    --- a/docs/help/each.html
    +++ b/docs/help/each.html
    @@ -7,13 +7,13 @@
     

    Diaresis (ยจ)

    ๐”ฝยจ ๐•ฉ, ๐•จ ๐”ฝยจ ๐•ฉ: Each

    Apply ๐”ฝ to/between the elements of the arguments. (๐”ฝโš‡ยฏ1)

    -โ†—๏ธ
           <ยจ 1โ€ฟ2โ€ฟ3
    +โ†—๏ธ
        <ยจ 1โ€ฟ2โ€ฟ3
     โ”Œโ”€                   
     ยท โ”Œยท    โ”Œยท    โ”Œยท     
       ยท 1   ยท 2   ยท 3    
           โ”˜     โ”˜     โ”˜  
                         โ”˜
     
    -       4โ€ฟ5โ€ฟ6 โˆพยจ 1โ€ฟ2โ€ฟ3
    +    4โ€ฟ5โ€ฟ6 โˆพยจ 1โ€ฟ2โ€ฟ3
     โŸจ โŸจ 4 1 โŸฉ โŸจ 5 2 โŸฉ โŸจ 6 3 โŸฉ โŸฉ
     
    diff --git a/docs/help/enclose_lessthan.html b/docs/help/enclose_lessthan.html index cd25e124..2e543ee4 100644 --- a/docs/help/enclose_lessthan.html +++ b/docs/help/enclose_lessthan.html @@ -7,21 +7,21 @@

    Lesser Than (<)

    < ๐•ฉ: Enclose

    Create a unit array containing ๐•ฉ. ((โ‰ข<๐•ฉ) โ‰ก โŸจโŸฉ)

    -โ†—๏ธ
          <1
    +โ†—๏ธ
        <1
     โ”Œยท   
     ยท 1  
         โ”˜
     
     
    -      โ‰ข<1
    +    โ‰ข<1
     โŸจโŸฉ
     

    ๐•จ < ๐•ฉ: Lesser Than

    ๐•จ and ๐•ฉ can both be either numbers or characters.

    Pervasive.

    -โ†—๏ธ
          1 < 3
    +โ†—๏ธ
        1 < 3
     1
     
    -      2โ€ฟ3โ€ฟ0 < 3โ€ฟ1โ€ฟ0
    +    2โ€ฟ3โ€ฟ0 < 3โ€ฟ1โ€ฟ0
     โŸจ 1 0 0 โŸฉ
     
    diff --git a/docs/help/enlist_pair.html b/docs/help/enlist_pair.html index 2915532b..2ec78670 100644 --- a/docs/help/enlist_pair.html +++ b/docs/help/enlist_pair.html @@ -7,10 +7,10 @@

    Bow Tie (โ‹ˆ)

    โ‹ˆ ๐•ฉ: Enlist

    Put ๐•ฉ in a single element list. (โŸจ๐•ฉโŸฉ)

    -โ†—๏ธ
          โ‹ˆ 1
    +โ†—๏ธ
        โ‹ˆ 1
     โŸจ 1 โŸฉ
     
    -      โ‹ˆ 4โ€ฟ4 โฅŠ 3โ€ฟ67โ€ฟ8โ€ฟ0
    +    โ‹ˆ 4โ€ฟ4 โฅŠ 3โ€ฟ67โ€ฟ8โ€ฟ0
     โ”Œโ”€              
     ยท โ”Œโ”€            
       โ•ต 3 67 8 0    
    @@ -22,13 +22,13 @@
     

    ๐•จ โ‹ˆ ๐•ฉ: Pair

    Put ๐•จ and ๐•ฉ in a two element list. (โŸจ๐•จ, ๐•ฉโŸฉ)

    -โ†—๏ธ
          1 โ‹ˆ 2
    +โ†—๏ธ
        1 โ‹ˆ 2
     โŸจ 1 2 โŸฉ
     
    -      1 โ‹ˆ "dsdasdas"
    +    1 โ‹ˆ "dsdasdas"
     โŸจ 1 "dsdasdas" โŸฉ
     
    -      (3โ€ฟ3 โฅŠ 3) โ‹ˆ 67โ€ฟ'a'โ€ฟ"example"
    +    (3โ€ฟ3 โฅŠ 3) โ‹ˆ 67โ€ฟ'a'โ€ฟ"example"
     โ”Œโ”€                                
     ยท โ”Œโ”€        โŸจ 67 'a' "example" โŸฉ  
       โ•ต 3 3 3                         
    diff --git a/docs/help/exponential_power.html b/docs/help/exponential_power.html
    index e063d1f9..ee605102 100644
    --- a/docs/help/exponential_power.html
    +++ b/docs/help/exponential_power.html
    @@ -8,18 +8,18 @@
     

    โ‹† ๐•ฉ: Exponential

    e (Euler's constant) to the power of ๐•ฉ.

    Pervasive.

    -โ†—๏ธ
          โ‹† 0โ€ฟ1โ€ฟ2โ€ฟ3
    +โ†—๏ธ
        โ‹† 0โ€ฟ1โ€ฟ2โ€ฟ3
     โŸจ 1 2.718281828459045 7.38905609893065 20.08553692318767 โŸฉ
     

    ๐•จ โ‹† ๐•ฉ: Power

    ๐•จ to the power of ๐•ฉ.

    Pervasive.

    -โ†—๏ธ
          2 โ‹† 5
    +โ†—๏ธ
        2 โ‹† 5
     32
     
    -      8โ€ฟ5โ€ฟ9 โ‹† 2
    +    8โ€ฟ5โ€ฟ9 โ‹† 2
     โŸจ 64 25 81 โŸฉ
     
    -      2โ€ฟ3 โ‹† 3โ€ฟยฏ4
    +    2โ€ฟ3 โ‹† 3โ€ฟยฏ4
     โŸจ 8 0.01234567901234568 โŸฉ
     
    diff --git a/docs/help/first_pick.html b/docs/help/first_pick.html index 1e70daf4..043b5733 100644 --- a/docs/help/first_pick.html +++ b/docs/help/first_pick.html @@ -7,21 +7,21 @@

    Square Image Of Or Equal To (โŠ‘)

    โŠ‘ ๐•ฉ: First

    First element of ๐•ฉ.

    -โ†—๏ธ
           โŠ‘ โŸจ1, 2, 3โŸฉ
    +โ†—๏ธ
        โŠ‘ โŸจ1, 2, 3โŸฉ
     1
     
    -       a โ† 3โ€ฟ3 โฅŠ โ†•9
    +    a โ† 3โ€ฟ3 โฅŠ โ†•9
     
    -       โŠ‘ a
    +    โŠ‘ a
     0
     

    ๐•จ โŠ‘ ๐•ฉ: Pick

    Pick the element of ๐•จ at index ๐•ฉ.

    -โ†—๏ธ
           2 โŠ‘ โŸจ1, 2, 3โŸฉ
    +โ†—๏ธ
        2 โŠ‘ โŸจ1, 2, 3โŸฉ
     3
     
    -       b โ† 3โ€ฟ3 โฅŠ โ†•9
    +    b โ† 3โ€ฟ3 โฅŠ โ†•9
     
    -       2โ€ฟ0 โŠ‘ b
    +    2โ€ฟ0 โŠ‘ b
     6
     
    diff --git a/docs/help/firstcell_select.html b/docs/help/firstcell_select.html index c24a2bcd..69e45512 100644 --- a/docs/help/firstcell_select.html +++ b/docs/help/firstcell_select.html @@ -7,24 +7,24 @@

    Square Image Of (โŠ)

    โŠ ๐•ฉ: First Cell

    First major cell of ๐•ฉ.

    -โ†—๏ธ
           โŠ โŸจ1, 2, 3โŸฉ
    +โ†—๏ธ
        โŠ โŸจ1, 2, 3โŸฉ
     โ”Œยท   
     ยท 1  
         โ”˜
     
    -       a โ† 3โ€ฟ3 โฅŠ โ†•9
    +    a โ† 3โ€ฟ3 โฅŠ โ†•9
     
    -       โŠ a
    +    โŠ a
     โŸจ 0 1 2 โŸฉ
     

    ๐•จ โŠ ๐•ฉ: Select

    Select the major cells of ๐•จ at the indices in ๐•ฉ.

    -โ†—๏ธ
           2โ€ฟ0 โŠ โŸจ1, 2, 3โŸฉ
    +โ†—๏ธ
        2โ€ฟ0 โŠ โŸจ1, 2, 3โŸฉ
     โŸจ 3 1 โŸฉ
     
    -       b โ† 3โ€ฟ3 โฅŠ โ†•9
    +    b โ† 3โ€ฟ3 โฅŠ โ†•9
     
    -       2โ€ฟ0 โŠ b
    +    2โ€ฟ0 โŠ b
     โ”Œโ”€       
     โ•ต 6 7 8  
       0 1 2  
    diff --git a/docs/help/floor_minimum.html b/docs/help/floor_minimum.html
    index 80311137..6b12ec28 100644
    --- a/docs/help/floor_minimum.html
    +++ b/docs/help/floor_minimum.html
    @@ -8,15 +8,15 @@
     

    โŒŠ ๐•ฉ: Floor

    Round ๐•ฉ down to the nearest integer.

    Pervasive.

    -โ†—๏ธ
          โŒŠ 1.2โ€ฟฯ€โ€ฟ3โ€ฟ7.89
    +โ†—๏ธ
        โŒŠ 1.2โ€ฟฯ€โ€ฟ3โ€ฟ7.89
     โŸจ 1 3 3 7 โŸฉ
     

    ๐•จ โŒŠ ๐•ฉ: Minimum

    Minimum of ๐•จ and ๐•ฉ.

    Pervasive.

    -โ†—๏ธ
          1 โŒŠ 2
    +โ†—๏ธ
        1 โŒŠ 2
     1
     
    -      2โ€ฟ3 โŒŠ 4โ€ฟ2
    +    2โ€ฟ3 โŒŠ 4โ€ฟ2
     โŸจ 2 2 โŸฉ
     
    diff --git a/docs/help/fold.html b/docs/help/fold.html index e771ca60..cbe5f393 100644 --- a/docs/help/fold.html +++ b/docs/help/fold.html @@ -8,29 +8,29 @@

    ๐”ฝยด ๐•ฉ: Fold

    Fold over ๐•ฉ with ๐”ฝ from right to left i.e. Insert ๐”ฝ between the elements of ๐•ฉ.

    ๐•ฉ must be a simple list (1 = =๐•ฉ).

    -โ†—๏ธ
           +ยด 1โ€ฟ2โ€ฟ3
    +โ†—๏ธ
        +ยด 1โ€ฟ2โ€ฟ3
     6
     
    -       1+2+3
    +    1+2+3
     6
     
    -       -ยด 1โ€ฟ2โ€ฟ3
    +    -ยด 1โ€ฟ2โ€ฟ3
     2
     
    -       1-2-3
    +    1-2-3
     2
     

    ๐•จ ๐”ฝยด ๐•ฉ: Fold With Initial

    Monadic fold, but use ๐•จ as initial right argument.

    -โ†—๏ธ
           5 +ยด 1โ€ฟ2โ€ฟ3
    +โ†—๏ธ
        5 +ยด 1โ€ฟ2โ€ฟ3
     11
     
    -       1+2+3+5
    +    1+2+3+5
     11
     
    -       5 -ยด 1โ€ฟ2โ€ฟ3
    +    5 -ยด 1โ€ฟ2โ€ฟ3
     ยฏ3
     
    -       1-2-3-5
    +    1-2-3-5
     ยฏ3
     
    diff --git a/docs/help/gradedown_binsdown.html b/docs/help/gradedown_binsdown.html index 24a10693..9c68f2aa 100644 --- a/docs/help/gradedown_binsdown.html +++ b/docs/help/gradedown_binsdown.html @@ -7,23 +7,23 @@

    Del Stile (โ’)

    โ’ ๐•ฉ: Grade Down

    Indices of ๐•ฉ that would sort its major cells in descending order.

    -โ†—๏ธ
           a โ† 1โ€ฟ2โ€ฟ3
    +โ†—๏ธ
        a โ† 1โ€ฟ2โ€ฟ3
     
    -       โ’ a
    +    โ’ a
     โŸจ 2 1 0 โŸฉ
     
    -       (โ’a) โŠ a
    +    (โ’a) โŠ a
     โŸจ 3 2 1 โŸฉ
     

    ๐•จ โ’ ๐•ฉ: Bins Down

    Binary search for each cell of ๐•ฉ in ๐•จ, returning the number of major cells in ๐•จ greater than or equal to that cell.

    ๐•จ must be sorted in descending order.

    Right Pervasive.

    -โ†—๏ธ
           7โ€ฟ5โ€ฟ4โ€ฟ3 โ’ 2
    +โ†—๏ธ
        7โ€ฟ5โ€ฟ4โ€ฟ3 โ’ 2
     โ”Œยท   
     ยท 4  
         โ”˜
     
    -       7โ€ฟ5โ€ฟ4โ€ฟ3 โ’ 2โ€ฟ6
    +    7โ€ฟ5โ€ฟ4โ€ฟ3 โ’ 2โ€ฟ6
     โŸจ 4 1 โŸฉ
     
    diff --git a/docs/help/gradeup_binsup.html b/docs/help/gradeup_binsup.html index 2f2668e7..d87232e6 100644 --- a/docs/help/gradeup_binsup.html +++ b/docs/help/gradeup_binsup.html @@ -7,22 +7,22 @@

    Delta Stile (โ‹)

    โ‹ ๐•ฉ: Grade Up

    Indices of ๐•ฉ that would sort its major cells in ascending order.

    -โ†—๏ธ
           a โ† 3โ€ฟ2โ€ฟ1
    +โ†—๏ธ
        a โ† 3โ€ฟ2โ€ฟ1
     
    -       โ‹ a
    +    โ‹ a
     โŸจ 2 1 0 โŸฉ
     
    -       (โ‹a) โŠ a
    +    (โ‹a) โŠ a
     โŸจ 1 2 3 โŸฉ
     

    ๐•จ โ‹ ๐•ฉ: Bins Up

    Binary search for each cell of ๐•ฉ in ๐•จ, returning the number of major cells in ๐•จ less than or equal to that cell.

    ๐•จ must be sorted in ascending order.

    -โ†—๏ธ
           3โ€ฟ4โ€ฟ5โ€ฟ7 โ‹ 2
    +โ†—๏ธ
        3โ€ฟ4โ€ฟ5โ€ฟ7 โ‹ 2
     โ”Œยท   
     ยท 0  
         โ”˜
     
    -       3โ€ฟ4โ€ฟ5โ€ฟ7 โ‹ 2โ€ฟ6
    +    3โ€ฟ4โ€ฟ5โ€ฟ7 โ‹ 2โ€ฟ6
     โŸจ 0 3 โŸฉ
     
    diff --git a/docs/help/greaterthanorequalto.html b/docs/help/greaterthanorequalto.html index 635fd9cd..73e07c20 100644 --- a/docs/help/greaterthanorequalto.html +++ b/docs/help/greaterthanorequalto.html @@ -8,9 +8,9 @@

    ๐•จ โ‰ฅ ๐•ฉ: Greater Than or Equal To

    ๐•จ and ๐•ฉ can both be either numbers or characters.

    Pervasive.

    -โ†—๏ธ
          1 โ‰ฅ 3
    +โ†—๏ธ
        1 โ‰ฅ 3
     0
     
    -      2โ€ฟ3โ€ฟ0 โ‰ฅ 3โ€ฟ1โ€ฟ0
    +    2โ€ฟ3โ€ฟ0 โ‰ฅ 3โ€ฟ1โ€ฟ0
     โŸจ 0 1 1 โŸฉ
     
    diff --git a/docs/help/groupindices_group.html b/docs/help/groupindices_group.html index 9c0742c1..91d4ea8f 100644 --- a/docs/help/groupindices_group.html +++ b/docs/help/groupindices_group.html @@ -8,10 +8,10 @@

    โŠ” ๐•ฉ: Group Indices

    Group the indices of the major cells of ๐•ฉ by their respective values.

    ๐•ฉ must consist of integers. Groups start from 0.

    -โ†—๏ธ
           โŠ” 4โ€ฟ5โ€ฟ6โ€ฟ6โ€ฟ4โ€ฟ7โ€ฟ5
    +โ†—๏ธ
        โŠ” 4โ€ฟ5โ€ฟ6โ€ฟ6โ€ฟ4โ€ฟ7โ€ฟ5
     โŸจ โŸจโŸฉ โŸจโŸฉ โŸจโŸฉ โŸจโŸฉ โŸจ 0 4 โŸฉ โŸจ 1 6 โŸฉ โŸจ 2 3 โŸฉ โŸจ 5 โŸฉ โŸฉ
     
    -       (โ†•8) โ‰ โŠ” 4โ€ฟ5โ€ฟ6โ€ฟ6โ€ฟ4โ€ฟ7โ€ฟ5
    +    (โ†•8) โ‰ โŠ” 4โ€ฟ5โ€ฟ6โ€ฟ6โ€ฟ4โ€ฟ7โ€ฟ5
     โ”Œโ”€                                           
     โ•ต 0  1  2  3  4       5       6       7      
       โŸจโŸฉ โŸจโŸฉ โŸจโŸฉ โŸจโŸฉ โŸจ 0 4 โŸฉ โŸจ 1 6 โŸฉ โŸจ 2 3 โŸฉ โŸจ 5 โŸฉ  
    @@ -21,12 +21,12 @@
     

    Group the major cells of ๐•ฉ by their respective indices in ๐•จ.

    If an element corresponds to ยฏ1, it is excluded from grouping.

    An extra element can be added to the end of ๐•จ to specify length of the result.

    -โ†—๏ธ
           1โ€ฟ0โ€ฟ1โ€ฟ2โ€ฟ2โ€ฟ3โ€ฟ3  โŠ” 4โ€ฟ5โ€ฟ6โ€ฟ6โ€ฟ4โ€ฟ7โ€ฟ5
    +โ†—๏ธ
        1โ€ฟ0โ€ฟ1โ€ฟ2โ€ฟ2โ€ฟ3โ€ฟ3  โŠ” 4โ€ฟ5โ€ฟ6โ€ฟ6โ€ฟ4โ€ฟ7โ€ฟ5
     โŸจ โŸจ 5 โŸฉ โŸจ 4 6 โŸฉ โŸจ 6 4 โŸฉ โŸจ 7 5 โŸฉ โŸฉ
     
    -       1โ€ฟ0โ€ฟ1โ€ฟยฏ1โ€ฟยฏ1โ€ฟ3โ€ฟ3  โŠ” 4โ€ฟ5โ€ฟ6โ€ฟ6โ€ฟ4โ€ฟ7โ€ฟ5
    +    1โ€ฟ0โ€ฟ1โ€ฟยฏ1โ€ฟยฏ1โ€ฟ3โ€ฟ3  โŠ” 4โ€ฟ5โ€ฟ6โ€ฟ6โ€ฟ4โ€ฟ7โ€ฟ5
     โŸจ โŸจ 5 โŸฉ โŸจ 4 6 โŸฉ โŸจโŸฉ โŸจ 7 5 โŸฉ โŸฉ
     
    -       1โ€ฟ0โ€ฟ1โ€ฟยฏ1โ€ฟยฏ1โ€ฟ3โ€ฟ3โ€ฟ10  โŠ” 4โ€ฟ5โ€ฟ6โ€ฟ6โ€ฟ4โ€ฟ7โ€ฟ5
    +    1โ€ฟ0โ€ฟ1โ€ฟยฏ1โ€ฟยฏ1โ€ฟ3โ€ฟ3โ€ฟ10  โŠ” 4โ€ฟ5โ€ฟ6โ€ฟ6โ€ฟ4โ€ฟ7โ€ฟ5
     โŸจ โŸจ 5 โŸฉ โŸจ 4 6 โŸฉ โŸจโŸฉ โŸจ 7 5 โŸฉ โŸจโŸฉ โŸจโŸฉ โŸจโŸฉ โŸจโŸฉ โŸจโŸฉ โŸจโŸฉ โŸฉ
     
    diff --git a/docs/help/identity_left.html b/docs/help/identity_left.html index e538aba8..95656ff9 100644 --- a/docs/help/identity_left.html +++ b/docs/help/identity_left.html @@ -7,14 +7,14 @@

    Left Tack (โŠฃ)

    โŠฃ ๐•ฉ: Identity

    Return ๐•ฉ.

    -โ†—๏ธ
          โŠฃ 5
    +โ†—๏ธ
        โŠฃ 5
     5
     

    ๐•จ โŠฃ ๐•ฉ: Left

    Return ๐•จ.

    -โ†—๏ธ
          5 โŠฃ 8
    +โ†—๏ธ
        5 โŠฃ 8
     5
     
    -      'a' โŠฃ 1โ€ฟ2โ€ฟ3
    +    'a' โŠฃ 1โ€ฟ2โ€ฟ3
     'a'
     
    diff --git a/docs/help/identity_right.html b/docs/help/identity_right.html index c77c82bc..446f8bbe 100644 --- a/docs/help/identity_right.html +++ b/docs/help/identity_right.html @@ -7,14 +7,14 @@

    Right Tack (โŠข)

    โŠข ๐•ฉ: Identity

    Return ๐•ฉ.

    -โ†—๏ธ
          โŠข 5
    +โ†—๏ธ
        โŠข 5
     5
     

    ๐•จ โŠข ๐•ฉ: Right

    Return ๐•ฉ.

    -โ†—๏ธ
          5 โŠข 8
    +โ†—๏ธ
        5 โŠข 8
     8
     
    -      'a' โŠข 1โ€ฟ2โ€ฟ3
    +    'a' โŠข 1โ€ฟ2โ€ฟ3
     โŸจ 1 2 3 โŸฉ
     
    diff --git a/docs/help/indices_replicate.html b/docs/help/indices_replicate.html index 0f943ccf..3ef36de1 100644 --- a/docs/help/indices_replicate.html +++ b/docs/help/indices_replicate.html @@ -7,18 +7,18 @@

    Solidus (/)

    / ๐•ฉ: Indices

    Repeat the index of each element in ๐•ฉ by the element's value. ๐•ฉ must be rank 1.

    -โ†—๏ธ
           / 1โ€ฟ2โ€ฟ3
    +โ†—๏ธ
        / 1โ€ฟ2โ€ฟ3
     โŸจ 0 1 1 2 2 2 โŸฉ
     
    -       / 1โ€ฟ0โ€ฟ1
    +    / 1โ€ฟ0โ€ฟ1
     โŸจ 0 2 โŸฉ
     

    ๐•จ / ๐•ฉ: Replicate

    Repeat each major cell in ๐•ฉ by the corresponding element in ๐•จ.

    Unit ๐•จ applies to all elements.

    -โ†—๏ธ
           3 / "copy"
    +โ†—๏ธ
        3 / "copy"
     "cccooopppyyy"
     
    -       1โ€ฟ0โ€ฟ1 / 1โ€ฟ2โ€ฟ3
    +    1โ€ฟ0โ€ฟ1 / 1โ€ฟ2โ€ฟ3
     โŸจ 1 3 โŸฉ
     
    diff --git a/docs/help/insert.html b/docs/help/insert.html index 5a01cd21..27e8e15b 100644 --- a/docs/help/insert.html +++ b/docs/help/insert.html @@ -7,25 +7,25 @@

    Double Acute Accent (ห)

    ๐”ฝห ๐•ฉ: Insert

    Fold over cells of ๐•ฉ with ๐”ฝ from end to start, that is, insert ๐”ฝ between the major cells of ๐•ฉ.

    -โ†—๏ธ
           a โ† 3โ€ฟ3 โฅŠ โ†•9
    +โ†—๏ธ
        a โ† 3โ€ฟ3 โฅŠ โ†•9
     
    -       +ห a
    +    +ห a
     โŸจ 9 12 15 โŸฉ
     
    -       0โ€ฟ1โ€ฟ2 + 3โ€ฟ4โ€ฟ5 + 6โ€ฟ7โ€ฟ8
    +    0โ€ฟ1โ€ฟ2 + 3โ€ฟ4โ€ฟ5 + 6โ€ฟ7โ€ฟ8
     โŸจ 9 12 15 โŸฉ
     

    ๐•จ ๐”ฝห ๐•ฉ: Insert With Initial

    Monadic insert, but use ๐•จ as initial right argument.

    If

    -โ†—๏ธ
           b โ† 3โ€ฟ3 โฅŠ โ†•9
    +โ†—๏ธ
        b โ† 3โ€ฟ3 โฅŠ โ†•9
     
    -       1โ€ฟ1โ€ฟ1 +ห b
    +    1โ€ฟ1โ€ฟ1 +ห b
     โŸจ 10 13 16 โŸฉ
     
    -       1 +ห b
    +    1 +ห b
     โŸจ 10 13 16 โŸฉ
     
    -       0โ€ฟ1โ€ฟ2 + 3โ€ฟ4โ€ฟ5 + 6โ€ฟ7โ€ฟ8 + 1โ€ฟ1โ€ฟ1
    +    0โ€ฟ1โ€ฟ2 + 3โ€ฟ4โ€ฟ5 + 6โ€ฟ7โ€ฟ8 + 1โ€ฟ1โ€ฟ1
     โŸจ 10 13 16 โŸฉ
     
    diff --git a/docs/help/join_jointo.html b/docs/help/join_jointo.html index 5e324aab..bd21cce3 100644 --- a/docs/help/join_jointo.html +++ b/docs/help/join_jointo.html @@ -8,12 +8,12 @@

    โˆพ ๐•ฉ: Join

    Join all elements of ๐•ฉ together.

    Element ranks must be compatible.

    -โ†—๏ธ
           โˆพ โŸจ1โ€ฟ2, 3, 4โ€ฟ5โŸฉ
    +โ†—๏ธ
        โˆพ โŸจ1โ€ฟ2, 3, 4โ€ฟ5โŸฉ
     โŸจ 1 2 3 4 5 โŸฉ
     
    -       m โ† (3โ€ฟ1โ‰โŒœ4โ€ฟ2โ€ฟ5) โฅŠยจ 2โ€ฟ3โฅŠโ†•6
    +    m โ† (3โ€ฟ1โ‰โŒœ4โ€ฟ2โ€ฟ5) โฅŠยจ 2โ€ฟ3โฅŠโ†•6
     
    -       โˆพ m
    +    โˆพ m
     โ”Œโ”€                       
     โ•ต 0 0 0 0 1 1 2 2 2 2 2  
       0 0 0 0 1 1 2 2 2 2 2  
    @@ -23,14 +23,14 @@
     

    ๐•จ โˆพ ๐•ฉ: Join To

    Join ๐•จ to ๐•ฉ along the first axis.

    -โ†—๏ธ
           "abcd" โˆพ "EFG"
    +โ†—๏ธ
        "abcd" โˆพ "EFG"
     "abcdEFG"
     
    -       a โ† 3โ€ฟ3 โฅŠ โ†•9
    +    a โ† 3โ€ฟ3 โฅŠ โ†•9
     
    -       c โ† 4โ€ฟ3 โฅŠ โ†•12
    +    c โ† 4โ€ฟ3 โฅŠ โ†•12
     
    -       aโˆพc
    +    aโˆพc
     โ”Œโ”€         
     โ•ต 0  1  2  
       3  4  5  
    diff --git a/docs/help/length_notequals.html b/docs/help/length_notequals.html
    index 95f7fa63..5480cae4 100644
    --- a/docs/help/length_notequals.html
    +++ b/docs/help/length_notequals.html
    @@ -7,29 +7,29 @@
     

    Not Equal (โ‰ )

    โ‰  ๐•ฉ: Length

    Length of the first dimension of ๐•ฉ.

    -โ†—๏ธ
          โ‰  3
    +โ†—๏ธ
        โ‰  3
     1
     
    -      โ‰  โŸจ1, 2, 3โŸฉ
    +    โ‰  โŸจ1, 2, 3โŸฉ
     3
     
    -      โ‰  3โ€ฟ4โ€ฟ5โฅŠ0
    +    โ‰  3โ€ฟ4โ€ฟ5โฅŠ0
     3
     
    -      โ‰  1โ€ฟ4โ€ฟ5โฅŠ0
    +    โ‰  1โ€ฟ4โ€ฟ5โฅŠ0
     1
     
    -      โ‰  4โ€ฟ4โ€ฟ5โฅŠ0
    +    โ‰  4โ€ฟ4โ€ฟ5โฅŠ0
     4
     

    ๐•จ โ‰  ๐•ฉ: Not Equal To

    Pervasive.

    -โ†—๏ธ
          1 โ‰  3
    +โ†—๏ธ
        1 โ‰  3
     1
     
    -      2โ€ฟ3โ€ฟ0 โ‰  3โ€ฟ1โ€ฟ0
    +    2โ€ฟ3โ€ฟ0 โ‰  3โ€ฟ1โ€ฟ0
     โŸจ 1 1 0 โŸฉ
     
    -      'a' โ‰  'a'
    +    'a' โ‰  'a'
     0
     
    diff --git a/docs/help/lessthanorequalto.html b/docs/help/lessthanorequalto.html index 28550d4c..16b98e1a 100644 --- a/docs/help/lessthanorequalto.html +++ b/docs/help/lessthanorequalto.html @@ -8,9 +8,9 @@

    ๐•จ โ‰ค ๐•ฉ: Lesser Than or Equal To

    ๐•จ and ๐•ฉ can both be either numbers or characters.

    Pervasive.

    -โ†—๏ธ
          1 โ‰ค 3
    +โ†—๏ธ
        1 โ‰ค 3
     1
     
    -      2โ€ฟ3โ€ฟ0 โ‰ค 3โ€ฟ1โ€ฟ0
    +    2โ€ฟ3โ€ฟ0 โ‰ค 3โ€ฟ1โ€ฟ0
     โŸจ 1 0 1 โŸฉ
     
    diff --git a/docs/help/markfirst_memberof.html b/docs/help/markfirst_memberof.html index e3e82512..2eeb2cf8 100644 --- a/docs/help/markfirst_memberof.html +++ b/docs/help/markfirst_memberof.html @@ -7,27 +7,27 @@

    Element Of (โˆŠ)

    โˆŠ ๐•ฉ: Mark Firsts

    Mark the first occurrence of each major cell in ๐•ฉ with a 1, and all other occurrences with a 0.

    -โ†—๏ธ
           โˆŠ 4โ€ฟ5โ€ฟ6โ€ฟ6โ€ฟ4โ€ฟ7โ€ฟ5
    +โ†—๏ธ
        โˆŠ 4โ€ฟ5โ€ฟ6โ€ฟ6โ€ฟ4โ€ฟ7โ€ฟ5
     โŸจ 1 1 1 0 0 1 0 โŸฉ
     
    -       a โ† 3โ€ฟ3 โฅŠ โ†•9
    +    a โ† 3โ€ฟ3 โฅŠ โ†•9
     
    -       โˆŠ a
    +    โˆŠ a
     โŸจ 1 1 1 โŸฉ
     

    ๐•จ โˆŠ ๐•ฉ: Member Of

    Is each cell in ๐•จ a major cell of ๐•ฉ?

    -โ†—๏ธ
           โŸจ1โŸฉ โˆŠ โ†•9
    +โ†—๏ธ
        โŸจ1โŸฉ โˆŠ โ†•9
     โŸจ 1 โŸฉ
     
    -       b โ† 3โ€ฟ3 โฅŠ โ†•9
    +    b โ† 3โ€ฟ3 โฅŠ โ†•9
     
    -       โŸจ0โ€ฟ1โ€ฟ2โŸฉ โˆŠ b
    +    โŸจ0โ€ฟ1โ€ฟ2โŸฉ โˆŠ b
     โ”Œยท   
     ยท 0  
         โ”˜
     
    -       โŸจ1โ€ฟ3 โฅŠ 0โ€ฟ1โ€ฟ2โŸฉ โˆŠ b
    +    โŸจ1โ€ฟ3 โฅŠ 0โ€ฟ1โ€ฟ2โŸฉ โˆŠ b
     โ”Œยท   
     ยท 0  
         โ”˜
    diff --git a/docs/help/merge_greaterthan.html b/docs/help/merge_greaterthan.html
    index 6dcef618..1fe429b2 100644
    --- a/docs/help/merge_greaterthan.html
    +++ b/docs/help/merge_greaterthan.html
    @@ -9,29 +9,29 @@
     

    Add the rank of an element of ๐•ฉ to the rank of ๐•ฉ.

    All elements must have the same rank.

    Returns atomic values as is.

    -โ†—๏ธ
          a โ† โŸจโŸจ1, 2โŸฉ, โŸจ3, 4โŸฉโŸฉ
    +โ†—๏ธ
        a โ† โŸจโŸจ1, 2โŸฉ, โŸจ3, 4โŸฉโŸฉ
     
    -      >a
    +    >a
     โ”Œโ”€     
     โ•ต 1 2  
       3 4  
           โ”˜
     
    -      โ‰ขa
    +    โ‰ขa
     โŸจ 2 โŸฉ
     
    -      โ‰ข>a
    +    โ‰ข>a
     โŸจ 2 2 โŸฉ
     

    ๐•จ > ๐•ฉ: Greater Than

    ๐•จ and ๐•ฉ can both be either numbers or characters.

    Pervasive.

    -โ†—๏ธ
          1 > 3
    +โ†—๏ธ
        1 > 3
     0
     
    -      2โ€ฟ3โ€ฟ0 > 3โ€ฟ1โ€ฟ0
    +    2โ€ฟ3โ€ฟ0 > 3โ€ฟ1โ€ฟ0
     โŸจ 0 1 0 โŸฉ
     
    -      'a' > 'b'
    +    'a' > 'b'
     0
     
    diff --git a/docs/help/negate_subtract.html b/docs/help/negate_subtract.html index cd2b52e4..12d404ba 100644 --- a/docs/help/negate_subtract.html +++ b/docs/help/negate_subtract.html @@ -8,24 +8,24 @@

    - ๐•ฉ: Negate

    Additive Inverse of ๐•ฉ.

    Pervasive.

    -โ†—๏ธ
          - 1
    +โ†—๏ธ
        - 1
     ยฏ1
     
    -      - ยฏ1
    +    - ยฏ1
     1
     

    ๐•จ - ๐•ฉ: Subtract

    Subtract ๐•ฉ from ๐•จ. ๐•จ and ๐•ฉ can be characters or numbers.

    Pervasive.

    -โ†—๏ธ
          1 - 2
    +โ†—๏ธ
        1 - 2
     ยฏ1
     
    -      1 - 2โ€ฟ3โ€ฟ4
    +    1 - 2โ€ฟ3โ€ฟ4
     โŸจ ยฏ1 ยฏ2 ยฏ3 โŸฉ
     
    -      'a' - 4
    +    'a' - 4
     ']'
     
    -      'b' - 'a'
    +    'b' - 'a'
     1
     
    diff --git a/docs/help/not_span.html b/docs/help/not_span.html index 12e646e4..9495b8b6 100644 --- a/docs/help/not_span.html +++ b/docs/help/not_span.html @@ -8,18 +8,18 @@

    ยฌ ๐•ฉ: Logical Not

    Logical Not of ๐•ฉ.

    Pervasive.

    -โ†—๏ธ
          ยฌ 0
    +โ†—๏ธ
        ยฌ 0
     1
     
    -      ยฌ 1โ€ฟ0
    +    ยฌ 1โ€ฟ0
     โŸจ 0 1 โŸฉ
     

    ๐•จ ยฌ ๐•ฉ: Span

    Count of numbers in the inclusive range from ๐•ฉ to ๐•จ.

    Pervasive.

    -โ†—๏ธ
          3 ยฌ 1
    +โ†—๏ธ
        3 ยฌ 1
     3
     
    -      3โ€ฟ4 ยฌ 0โ€ฟ2
    +    3โ€ฟ4 ยฌ 0โ€ฟ2
     โŸจ 4 3 โŸฉ
     
    diff --git a/docs/help/occurrencecount_progressiveindexof.html b/docs/help/occurrencecount_progressiveindexof.html index 77b1a84a..bd938e1d 100644 --- a/docs/help/occurrencecount_progressiveindexof.html +++ b/docs/help/occurrencecount_progressiveindexof.html @@ -7,10 +7,10 @@

    Square Original Of or Equal To (โŠ’)

    โŠ’ ๐•ฉ: Occurrence Count

    Number of times each major cell of ๐•ฉ has occurred before the current position.

    -โ†—๏ธ
            โŠ’   2โ€ฟ7โ€ฟ1โ€ฟ8โ€ฟ1โ€ฟ7โ€ฟ1โ€ฟ8โ€ฟ2โ€ฟ8โ€ฟ4
    +โ†—๏ธ
        โŠ’   2โ€ฟ7โ€ฟ1โ€ฟ8โ€ฟ1โ€ฟ7โ€ฟ1โ€ฟ8โ€ฟ2โ€ฟ8โ€ฟ4
     โŸจ 0 0 0 0 1 1 2 1 1 2 0 โŸฉ
     
    -        โ‰โŸœโŠ’ 2โ€ฟ7โ€ฟ1โ€ฟ8โ€ฟ1โ€ฟ7โ€ฟ1โ€ฟ8โ€ฟ2โ€ฟ8โ€ฟ4
    +    โ‰โŸœโŠ’ 2โ€ฟ7โ€ฟ1โ€ฟ8โ€ฟ1โ€ฟ7โ€ฟ1โ€ฟ8โ€ฟ2โ€ฟ8โ€ฟ4
     โ”Œโ”€                       
     โ•ต 2 7 1 8 1 7 1 8 2 8 4  
       0 0 0 0 1 1 2 1 1 2 0  
    @@ -18,9 +18,9 @@
     

    ๐•จ โŠ’ ๐•ฉ: Progressive Index Of

    Index of the first unused match of each major cell of ๐•ฉ in ๐•จ. If there are no more matches left, the length of ๐•จ is placed in that position.

    -โ†—๏ธ
            "aaa" โŠ’ "aaaaa"
    +โ†—๏ธ
        "aaa" โŠ’ "aaaaa"
     โŸจ 0 1 2 3 3 โŸฉ
     
    -        "aaabb" โŠ’ "ababababab"
    +    "aaabb" โŠ’ "ababababab"
     โŸจ 0 3 1 4 2 5 5 5 5 5 โŸฉ
     
    diff --git a/docs/help/over.html b/docs/help/over.html index f8f9d6ed..8fe4c1eb 100644 --- a/docs/help/over.html +++ b/docs/help/over.html @@ -8,21 +8,21 @@

    ๐”ฝโ—‹๐”พ ๐•ฉ: Atop

    Apply ๐”พ to ๐•ฉ, then apply ๐”ฝ (๐”ฝ ๐”พ ๐•ฉ).

    ๐”ฝ and ๐”พ must be monadic.

    -โ†—๏ธ
           -โ—‹- 5
    +โ†—๏ธ
        -โ—‹- 5
     5
     
    -       - - 5
    +    - - 5
     5
     

    ๐•จ ๐”ฝโ—‹๐”พ ๐•ฉ: Over

    Apply ๐”พ to ๐•จ and ๐•ฉ, then apply ๐”ฝ to them ((๐”พ ๐•จ) ๐”ฝ (๐”พ ๐•ฉ)).

    ๐”ฝ must be dyadic, ๐”พ must be monadic.

    -โ†—๏ธ
           1 +โ—‹- 2
    +โ†—๏ธ
        1 +โ—‹- 2
     ยฏ3
     
    -       1 + - 2
    +    1 + - 2
     ยฏ1
     
    -       (- 1) + (- 2)
    +    (- 1) + (- 2)
     ยฏ3
     
    diff --git a/docs/help/prefixes_take.html b/docs/help/prefixes_take.html index f483e038..6af8e8ad 100644 --- a/docs/help/prefixes_take.html +++ b/docs/help/prefixes_take.html @@ -7,12 +7,12 @@

    Up Arrow (โ†‘)

    โ†‘ ๐•ฉ: Prefixes

    Prefixes of array ๐•ฉ along its first axis.

    -โ†—๏ธ
           โ†‘ 1โ€ฟ2โ€ฟ3โ€ฟ4
    +โ†—๏ธ
        โ†‘ 1โ€ฟ2โ€ฟ3โ€ฟ4
     โŸจ โŸจโŸฉ โŸจ 1 โŸฉ โŸจ 1 2 โŸฉ โŸจ 1 2 3 โŸฉ โŸจ 1 2 3 4 โŸฉ โŸฉ
     
    -       a โ† 3โ€ฟ3 โฅŠ โ†•9
    +    a โ† 3โ€ฟ3 โฅŠ โ†•9
     
    -       โ†‘ a
    +    โ†‘ a
     โ”Œโ”€                                    
     ยท โ†•0โ€ฟ3 โ”Œโ”€        โ”Œโ”€        โ”Œโ”€         
            โ•ต 0 1 2   โ•ต 0 1 2   โ•ต 0 1 2    
    @@ -25,19 +25,19 @@
     

    For each integer in ๐•จ, take that many elements from each dimension of ๐•ฉ.

    Negative numbers take from the end.

    If any of the elements in ๐•จ are greater than the length of their respective dimension, the dimension is extended with a fill value.

    -โ†—๏ธ
          3 โ†‘ 1โ€ฟ3โ€ฟ5โ€ฟ67
    +โ†—๏ธ
        3 โ†‘ 1โ€ฟ3โ€ฟ5โ€ฟ67
     โŸจ 1 3 5 โŸฉ
     
    -      b โ† 4โ€ฟ4 โฅŠ โ†•16
    +    b โ† 4โ€ฟ4 โฅŠ โ†•16
     
    -      3โ€ฟ3 โ†‘ b
    +    3โ€ฟ3 โ†‘ b
     โ”Œโ”€        
     โ•ต 0 1  2  
       4 5  6  
       8 9 10  
              โ”˜
     
    -      5โ€ฟ5 โ†‘ b
    +    5โ€ฟ5 โ†‘ b
     โ”Œโ”€               
     โ•ต  0  1  2  3 0  
        4  5  6  7 0  
    @@ -46,7 +46,7 @@
        0  0  0  0 0  
                     โ”˜
     
    -      3โ€ฟยฏ3 โ†‘ b
    +    3โ€ฟยฏ3 โ†‘ b
     โ”Œโ”€         
     โ•ต 1  2  3  
       5  6  7  
    diff --git a/docs/help/range_windows.html b/docs/help/range_windows.html
    index 830c0fe0..b284e54c 100644
    --- a/docs/help/range_windows.html
    +++ b/docs/help/range_windows.html
    @@ -8,10 +8,10 @@
     

    โ†• ๐•ฉ: Range

    Return all indices that would index into an array of shape ๐•ฉ.

    When given a single number, range from 0 to ๐•ฉ-1.

    -โ†—๏ธ
           โ†• 4
    +โ†—๏ธ
        โ†• 4
     โŸจ 0 1 2 3 โŸฉ
     
    -       โ†• 4โ€ฟ5
    +    โ†• 4โ€ฟ5
     โ”Œโ”€                                         
     โ•ต โŸจ 0 0 โŸฉ โŸจ 0 1 โŸฉ โŸจ 0 2 โŸฉ โŸจ 0 3 โŸฉ โŸจ 0 4 โŸฉ  
       โŸจ 1 0 โŸฉ โŸจ 1 1 โŸฉ โŸจ 1 2 โŸฉ โŸจ 1 3 โŸฉ โŸจ 1 4 โŸฉ  
    @@ -21,16 +21,16 @@
     

    ๐•จ โ†• ๐•ฉ: Windows

    Overlapping slices from ๐•ฉ of shape ๐•จ.

    -โ†—๏ธ
           5 โ†• "abcdefg"
    +โ†—๏ธ
        5 โ†• "abcdefg"
     โ”Œโ”€       
     โ•ต"abcde  
       bcdef  
       cdefg" 
             โ”˜
     
    -       a โ† 3โ€ฟ3โฅŠโ†•9
    +    a โ† 3โ€ฟ3โฅŠโ†•9
     
    -       2โ€ฟ2 โ†• a
    +    2โ€ฟ2 โ†• a
     โ”Œโ”€     
     โ”† 0 1  
       3 4  
    diff --git a/docs/help/rank.html b/docs/help/rank.html
    index 22fe0673..1789d21f 100644
    --- a/docs/help/rank.html
    +++ b/docs/help/rank.html
    @@ -13,9 +13,9 @@
     
  • โމ bโ€ฟc โ Rank-b cells of ๐•จ and rank-c cells of ๐•ฉ (dyadic)
  • โމ aโ€ฟbโ€ฟc โ Rank-a cells of ๐•ฉ (monadic), b-cells of ๐•จ and c-cells of ๐•ฉ (dyadic)
  • -โ†—๏ธ
           a โ† 3โ€ฟ2โ€ฟ4โฅŠ"ABCDEFGHIJKLMNOPQRSTUVWXYZ"
    +โ†—๏ธ
        a โ† 3โ€ฟ2โ€ฟ4โฅŠ"ABCDEFGHIJKLMNOPQRSTUVWXYZ"
     
    -       โŒฝโމ2 a
    +    โŒฝโމ2 a
     โ”Œโ”€      
     โ•Ž"EFGH  
       ABCD  
    diff --git a/docs/help/rank_equals.html b/docs/help/rank_equals.html
    index fdb2053a..dfa28f39 100644
    --- a/docs/help/rank_equals.html
    +++ b/docs/help/rank_equals.html
    @@ -7,16 +7,16 @@
     

    Equal (=)

    = ๐•ฉ: Rank

    Returns the number of dimensions in ๐•ฉ.

    -โ†—๏ธ
          = 0
    +โ†—๏ธ
        = 0
     0
     
    -      = 3โฅŠ0
    +    = 3โฅŠ0
     1
     
    -      = 3โ€ฟ3โฅŠ0
    +    = 3โ€ฟ3โฅŠ0
     2
     
    -      3โ€ฟ3โ€ฟ3 โฅŠ โŸจโŸจ0โŸฉโŸฉ
    +    3โ€ฟ3โ€ฟ3 โฅŠ โŸจโŸจ0โŸฉโŸฉ
     โ”Œโ”€                   
     โ•Ž โŸจ 0 โŸฉ โŸจ 0 โŸฉ โŸจ 0 โŸฉ  
       โŸจ 0 โŸฉ โŸจ 0 โŸฉ โŸจ 0 โŸฉ  
    @@ -33,12 +33,12 @@
     

    ๐•จ = ๐•ฉ: Equal To

    Pervasive.

    -โ†—๏ธ
          1 = 3
    +โ†—๏ธ
        1 = 3
     0
     
    -      2โ€ฟ3โ€ฟ0 = 3โ€ฟ1โ€ฟ0
    +    2โ€ฟ3โ€ฟ0 = 3โ€ฟ1โ€ฟ0
     โŸจ 0 0 1 โŸฉ
     
    -      'a' = 'a'
    +    'a' = 'a'
     1
     
    diff --git a/docs/help/reciprocal_divide.html b/docs/help/reciprocal_divide.html index c0e4eb07..1f361b93 100644 --- a/docs/help/reciprocal_divide.html +++ b/docs/help/reciprocal_divide.html @@ -8,7 +8,7 @@

    รท ๐•ฉ: Reciprocal

    Gives 1 รท ๐•ฉ.

    Pervasive.

    -โ†—๏ธ
          รท 5
    +โ†—๏ธ
        รท 5
     0.2
     

    ๐•จ รท ๐•ฉ: Divide

    diff --git a/docs/help/repeat.html b/docs/help/repeat.html index edfe00b9..0112fa53 100644 --- a/docs/help/repeat.html +++ b/docs/help/repeat.html @@ -8,12 +8,12 @@

    ๐”ฝโŸ๐”พ ๐•ฉ, ๐•จ ๐”ฝโŸ๐”พ ๐•ฉ: Repeat

    Apply ๐”พ to ๐•จ and ๐•ฉ, then apply ๐”ฝ to ๐•ฉ that may times. If ๐•จ is given, use it each time as a constant left argument.

    If ๐”พ returns an array, give ๐”ฝโŸ๐•ฉ for each of its elements.

    -โ†—๏ธ
           1 +โŸโŠข 4
    +โ†—๏ธ
        1 +โŸโŠข 4
     8
     
    -       1 +โŸ1โ€ฟ2โ€ฟ3 4
    +    1 +โŸ1โ€ฟ2โ€ฟ3 4
     โŸจ 5 6 7 โŸฉ
     
    -       3 โˆพโŸ{โ‰ ๐•ฉ} โŸจ4,5,6โŸฉ
    +    3 โˆพโŸ{โ‰ ๐•ฉ} โŸจ4,5,6โŸฉ
     โŸจ 3 3 3 4 5 6 โŸฉ
     
    diff --git a/docs/help/reverse_rotate.html b/docs/help/reverse_rotate.html index 538005c9..175bd6a1 100644 --- a/docs/help/reverse_rotate.html +++ b/docs/help/reverse_rotate.html @@ -7,12 +7,12 @@

    Circle Stile (โŒฝ)

    โŒฝ ๐•ฉ: Reverse

    Reverse ๐•ฉ along the first axis.

    -โ†—๏ธ
           โŒฝ 1โ€ฟ2โ€ฟ3
    +โ†—๏ธ
        โŒฝ 1โ€ฟ2โ€ฟ3
     โŸจ 3 2 1 โŸฉ
     
    -       a โ† 3โ€ฟ3 โฅŠ โ†•9
    +    a โ† 3โ€ฟ3 โฅŠ โ†•9
     
    -       โŒฝ a
    +    โŒฝ a
     โ”Œโ”€       
     โ•ต 6 7 8  
       3 4 5  
    @@ -21,12 +21,12 @@
     

    ๐•จ โŒฝ ๐•ฉ: Rotate

    Move the first ๐•จ elements of ๐•ฉ to its end. Negative ๐•จ reverses the direction of rotation.

    -โ†—๏ธ
           2 โŒฝ 1โ€ฟ2โ€ฟ3
    +โ†—๏ธ
        2 โŒฝ 1โ€ฟ2โ€ฟ3
     โŸจ 3 1 2 โŸฉ
     
    -       b โ† 3โ€ฟ3 โฅŠ โ†•9
    +    b โ† 3โ€ฟ3 โฅŠ โ†•9
     
    -       2 โŒฝ b
    +    2 โŒฝ b
     โ”Œโ”€       
     โ•ต 6 7 8  
       0 1 2  
    diff --git a/docs/help/scan.html b/docs/help/scan.html
    index 464d9fa7..7eee9b98 100644
    --- a/docs/help/scan.html
    +++ b/docs/help/scan.html
    @@ -7,29 +7,29 @@
     

    Grave (`)

    ๐”ฝ` ๐•ฉ: Scan

    Scan over ๐•ฉ with ๐”ฝ from left to right, producing intermediate values.

    -โ†—๏ธ
           +` 1โ€ฟ2โ€ฟ3
    +โ†—๏ธ
        +` 1โ€ฟ2โ€ฟ3
     โŸจ 1 3 6 โŸฉ
     
    -       โŸจ1, 1+2, (1+2)+3โŸฉ
    +    โŸจ1, 1+2, (1+2)+3โŸฉ
     โŸจ 1 3 6 โŸฉ
     
    -       -` 1โ€ฟ2โ€ฟ3
    +    -` 1โ€ฟ2โ€ฟ3
     โŸจ 1 ยฏ1 ยฏ4 โŸฉ
     
    -       โŸจ1, 1-2, (1-2)-3โŸฉ
    +    โŸจ1, 1-2, (1-2)-3โŸฉ
     โŸจ 1 ยฏ1 ยฏ4 โŸฉ
     

    ๐•จ ๐”ฝ` ๐•ฉ: Scan With initial

    Monadic scan, but use ๐•จ as initial left argument.

    -โ†—๏ธ
           5 +` 1โ€ฟ2โ€ฟ3
    +โ†—๏ธ
        5 +` 1โ€ฟ2โ€ฟ3
     โŸจ 6 8 11 โŸฉ
     
    -       โŸจ5+1, (5+1)+2, ((5+1)+2)+3โŸฉ
    +    โŸจ5+1, (5+1)+2, ((5+1)+2)+3โŸฉ
     โŸจ 6 8 11 โŸฉ
     
    -       5 -` 1โ€ฟ2โ€ฟ3
    +    5 -` 1โ€ฟ2โ€ฟ3
     โŸจ 4 2 ยฏ1 โŸฉ
     
    -       โŸจ5-1, (5-1)-2, ((5-1)-2)-3โŸฉ
    +    โŸจ5-1, (5-1)-2, ((5-1)-2)-3โŸฉ
     โŸจ 4 2 ยฏ1 โŸฉ
     
    diff --git a/docs/help/self_swap.html b/docs/help/self_swap.html index e06b0def..3cf26801 100644 --- a/docs/help/self_swap.html +++ b/docs/help/self_swap.html @@ -7,17 +7,17 @@

    Small Tilde (หœ)

    ๐”ฝหœ ๐•ฉ: Self

    Supplies ๐•ฉ as a left argument to ๐”ฝ (๐•ฉ ๐”ฝ ๐•ฉ).

    -โ†—๏ธ
           1 + 1
    +โ†—๏ธ
        1 + 1
     2
     
    -       +หœ 1
    +    +หœ 1
     2
     

    ๐•จ ๐”ฝหœ ๐•ฉ: Swap

    Swaps the arguments of ๐”ฝ (๐•ฉ ๐”ฝ ๐•จ).

    -โ†—๏ธ
           1 - 2
    +โ†—๏ธ
        1 - 2
     ยฏ1
     
    -       1 -หœ 2
    +    1 -หœ 2
     1
     
    diff --git a/docs/help/shape_notmatch.html b/docs/help/shape_notmatch.html index f45a943f..89fc61b0 100644 --- a/docs/help/shape_notmatch.html +++ b/docs/help/shape_notmatch.html @@ -7,20 +7,20 @@

    Not Identical To (โ‰ข)

    โ‰ข ๐•ฉ: Shape

    Length of each dimension of x.

    -โ†—๏ธ
          โ‰ข 1
    +โ†—๏ธ
        โ‰ข 1
     โŸจโŸฉ
     
    -      โ‰ข 1โ€ฟ2
    +    โ‰ข 1โ€ฟ2
     โŸจ 2 โŸฉ
     
    -      โ‰ข 1โ€ฟ2 โ‰ 3โ€ฟ4
    +    โ‰ข 1โ€ฟ2 โ‰ 3โ€ฟ4
     โŸจ 2 2 โŸฉ
     

    ๐•จ โ‰ข ๐•ฉ: Not Match

    Does ๐•จ not exactly match ๐•ฉ?

    -โ†—๏ธ
          1 โ‰ข โŸจ1โŸฉ
    +โ†—๏ธ
        1 โ‰ข โŸจ1โŸฉ
     1
     
    -      โŸจ1โŸฉ โ‰ข โŸจ1โŸฉ
    +    โŸจ1โŸฉ โ‰ข โŸจ1โŸฉ
     0
     
    diff --git a/docs/help/shiftafter.html b/docs/help/shiftafter.html index 44d6a658..ac75ab15 100644 --- a/docs/help/shiftafter.html +++ b/docs/help/shiftafter.html @@ -7,10 +7,10 @@

    Right Pointing Double Angle Quotation (ยป)

    ยป ๐•ฉ: Shift After

    Remove the last element of ๐•ฉ, add a cell of fill values to the start of the first axis of ๐•ฉ.

    -โ†—๏ธ
           ยป 1โ€ฟ2โ€ฟ3
    +โ†—๏ธ
        ยป 1โ€ฟ2โ€ฟ3
     โŸจ 0 1 2 โŸฉ
     
    -       ยป 3โ€ฟ3 โฅŠ 9
    +    ยป 3โ€ฟ3 โฅŠ 9
     โ”Œโ”€       
     โ•ต 0 0 0  
       9 9 9  
    @@ -19,15 +19,15 @@
     

    ๐•จ ยป ๐•ฉ: Shift After

    Remove the last โ‰ ๐•จ (length) major cells from ๐•ฉ, join ๐•จ to the start of ๐•ฉ. Ranks must match.

    -โ†—๏ธ
           78 ยป 1โ€ฟ2โ€ฟ3
    +โ†—๏ธ
        78 ยป 1โ€ฟ2โ€ฟ3
     โŸจ 78 1 2 โŸฉ
     
    -       1โ€ฟ2 ยป 1โ€ฟ2โ€ฟ3
    +    1โ€ฟ2 ยป 1โ€ฟ2โ€ฟ3
     โŸจ 1 2 1 โŸฉ
     
    -       a โ† 3โ€ฟ3 โฅŠ 9
    +    a โ† 3โ€ฟ3 โฅŠ 9
     
    -       1โ€ฟ2โ€ฟ3 ยป a
    +    1โ€ฟ2โ€ฟ3 ยป a
     โ”Œโ”€       
     โ•ต 1 2 3  
       9 9 9  
    diff --git a/docs/help/shiftbefore.html b/docs/help/shiftbefore.html
    index 5b5fa049..551f2e44 100644
    --- a/docs/help/shiftbefore.html
    +++ b/docs/help/shiftbefore.html
    @@ -7,13 +7,13 @@
     

    Left Pointing Double Angle Quotation (ยซ)

    ยซ ๐•ฉ: Shift Before

    Remove the first element of ๐•ฉ, add a cell of fill values to the end of the first axis of ๐•ฉ.

    -โ†—๏ธ
           78 ยซ 1โ€ฟ2โ€ฟ3
    +โ†—๏ธ
        78 ยซ 1โ€ฟ2โ€ฟ3
     โŸจ 2 3 78 โŸฉ
     
    -       ยซ 1โ€ฟ2โ€ฟ3
    +    ยซ 1โ€ฟ2โ€ฟ3
     โŸจ 2 3 0 โŸฉ
     
    -       ยซ 3โ€ฟ3 โฅŠ 9
    +    ยซ 3โ€ฟ3 โฅŠ 9
     โ”Œโ”€       
     โ•ต 9 9 9  
       9 9 9  
    @@ -22,12 +22,12 @@
     

    ๐•จ ยซ ๐•ฉ: Shift Before

    Remove the first โ‰ ๐•จ (length) major cells from ๐•ฉ, join ๐•จ to the end of ๐•ฉ. Ranks must match.

    -โ†—๏ธ
           8โ€ฟ5 ยซ 1โ€ฟ2โ€ฟ3
    +โ†—๏ธ
        8โ€ฟ5 ยซ 1โ€ฟ2โ€ฟ3
     โŸจ 3 8 5 โŸฉ
     
    -       a โ† 3โ€ฟ3 โฅŠ 9
    +    a โ† 3โ€ฟ3 โฅŠ 9
     
    -       1โ€ฟ2โ€ฟ3 ยซ a
    +    1โ€ฟ2โ€ฟ3 ยซ a
     โ”Œโ”€       
     โ•ต 9 9 9  
       9 9 9  
    diff --git a/docs/help/sign_multiply.html b/docs/help/sign_multiply.html
    index 11cb1998..ed17f525 100644
    --- a/docs/help/sign_multiply.html
    +++ b/docs/help/sign_multiply.html
    @@ -13,15 +13,15 @@
     
  • 1 if ๐•ฉ > 0
  • Pervasive.

    -โ†—๏ธ
          ร— ยฏ5โ€ฟ0โ€ฟ5โ€ฟ1
    +โ†—๏ธ
        ร— ยฏ5โ€ฟ0โ€ฟ5โ€ฟ1
     โŸจ ยฏ1 0 1 1 โŸฉ
     

    ๐•จ ร— ๐•ฉ: Multiply

    ๐•จ multiplied by ๐•ฉ.

    Pervasive.

    -โ†—๏ธ
          1 ร— 2
    +โ†—๏ธ
        1 ร— 2
     2
     
    -      2 ร— 2โ€ฟ3โ€ฟ4
    +    2 ร— 2โ€ฟ3โ€ฟ4
     โŸจ 4 6 8 โŸฉ
     
    diff --git a/docs/help/solo_couple.html b/docs/help/solo_couple.html index ad526c1c..0f3f5579 100644 --- a/docs/help/solo_couple.html +++ b/docs/help/solo_couple.html @@ -7,39 +7,39 @@

    Tape (โ‰)

    โ‰ ๐•ฉ: Solo

    Add a dimension to ๐•ฉ.

    -โ†—๏ธ
          โ‰ 1
    +โ†—๏ธ
        โ‰ 1
     โŸจ 1 โŸฉ
     
     
    -      โ‰โ‰ 1
    +    โ‰โ‰ 1
     โ”Œโ”€   
     โ•ต 1  
         โ”˜
     
     
    -     โ‰โ‰โ‰ 1
    +    โ‰โ‰โ‰ 1
     โ”Œโ”€   
     โ•Ž 1  
         โ”˜
     
     
    -     โ‰โ‰ 1โ€ฟ2โ€ฟ3โ€ฟ4
    +    โ‰โ‰ 1โ€ฟ2โ€ฟ3โ€ฟ4
     โ”Œโ”€         
     โ•Ž 1 2 3 4  
               โ”˜
     
     
    -     โ‰โ‰โ‰ 1โ€ฟ2โ€ฟ3โ€ฟ4
    +    โ‰โ‰โ‰ 1โ€ฟ2โ€ฟ3โ€ฟ4
     โ”Œโ”€         
     โ”† 1 2 3 4  
               โ”˜
     

    ๐•จ โ‰ ๐•ฉ: Couple

    Join ๐•จ and ๐•ฉ along a newly created axis.

    -โ†—๏ธ
           1 โ‰ 3
    +โ†—๏ธ
        1 โ‰ 3
     โŸจ 1 3 โŸฉ
     
    -       1โ€ฟ2 โ‰ 2โ€ฟ3
    +    1โ€ฟ2 โ‰ 2โ€ฟ3
     โ”Œโ”€     
     โ•ต 1 2  
       2 3  
    diff --git a/docs/help/sortdown_or.html b/docs/help/sortdown_or.html
    index ef55b509..99a3157a 100644
    --- a/docs/help/sortdown_or.html
    +++ b/docs/help/sortdown_or.html
    @@ -7,18 +7,18 @@
     

    Logical Or (โˆจ)

    โˆจ ๐•ฉ: Sort Down

    Sort array ๐•ฉ in descending order.

    -โ†—๏ธ
          โˆจ 3โ€ฟ1โ€ฟ4โ€ฟ1โ€ฟ5
    +โ†—๏ธ
        โˆจ 3โ€ฟ1โ€ฟ4โ€ฟ1โ€ฟ5
     โŸจ 5 4 3 1 1 โŸฉ
     

    ๐•จ โˆจ ๐•ฉ: Logical Or

    Logical Or of ๐•จ and ๐•ฉ.

    Pervasive.

    -โ†—๏ธ
          1 โˆจ 0
    +โ†—๏ธ
        1 โˆจ 0
     1
     
    -      1โ€ฟ0 โˆจ 1โ€ฟ1
    +    1โ€ฟ0 โˆจ 1โ€ฟ1
     โŸจ 1 1 โŸฉ
     
    -      0 โˆจ 0
    +    0 โˆจ 0
     0
     
    diff --git a/docs/help/sortup_and.html b/docs/help/sortup_and.html index ede53653..57d7fa14 100644 --- a/docs/help/sortup_and.html +++ b/docs/help/sortup_and.html @@ -7,15 +7,15 @@

    Logical And (โˆง)

    โˆง ๐•ฉ: Sort Up

    Sort array ๐•ฉ in ascending order.

    -โ†—๏ธ
          โˆง 3โ€ฟ1โ€ฟ4โ€ฟ1โ€ฟ5
    +โ†—๏ธ
        โˆง 3โ€ฟ1โ€ฟ4โ€ฟ1โ€ฟ5
     โŸจ 1 1 3 4 5 โŸฉ
     

    ๐•จ โˆง ๐•ฉ: Logical And

    Logical And of ๐•จ and ๐•ฉ.

    Pervasive.

    -โ†—๏ธ
          1 โˆง 1
    +โ†—๏ธ
        1 โˆง 1
     1
     
    -      1โ€ฟ0 โˆง 1โ€ฟ1
    +    1โ€ฟ0 โˆง 1โ€ฟ1
     โŸจ 1 0 โŸฉ
     
    diff --git a/docs/help/squareroot_root.html b/docs/help/squareroot_root.html index b685d544..4db19c16 100644 --- a/docs/help/squareroot_root.html +++ b/docs/help/squareroot_root.html @@ -7,15 +7,15 @@

    Root (โˆš)

    โˆš ๐•ฉ: Square root

    Pervasive.

    -โ†—๏ธ
          โˆš 2
    +โ†—๏ธ
        โˆš 2
     1.414213562373095
     

    ๐•จ โˆš ๐•ฉ: Root

    ๐•จth root of ๐•ฉ.

    Pervasive.

    -โ†—๏ธ
          2 โˆš 2
    +โ†—๏ธ
        2 โˆš 2
     1.414213562373095
     
    -      1โ€ฟ2โ€ฟ3โ€ฟ4 โˆš 4
    +    1โ€ฟ2โ€ฟ3โ€ฟ4 โˆš 4
     โŸจ 4 2 1.587401051968199 1.414213562373095 โŸฉ
     
    diff --git a/docs/help/suffixes_drop.html b/docs/help/suffixes_drop.html index 4cb1a36c..8628dd68 100644 --- a/docs/help/suffixes_drop.html +++ b/docs/help/suffixes_drop.html @@ -7,12 +7,12 @@

    Down Arrow (โ†“)

    โ†“ ๐•ฉ: Suffixes

    Suffixes of array ๐•ฉ along its first axis.

    -โ†—๏ธ
           โ†“ 1โ€ฟ2โ€ฟ3โ€ฟ4
    +โ†—๏ธ
        โ†“ 1โ€ฟ2โ€ฟ3โ€ฟ4
     โŸจ โŸจ 1 2 3 4 โŸฉ โŸจ 2 3 4 โŸฉ โŸจ 3 4 โŸฉ โŸจ 4 โŸฉ โŸจโŸฉ โŸฉ
     
    -       a โ† 3โ€ฟ3 โฅŠ โ†•9
    +    a โ† 3โ€ฟ3 โฅŠ โ†•9
     
    -       โ†“ a
    +    โ†“ a
     โ”Œโ”€                                    
     ยท โ”Œโ”€        โ”Œโ”€        โ”Œโ”€        โ†•0โ€ฟ3  
       โ•ต 0 1 2   โ•ต 3 4 5   โ•ต 6 7 8         
    @@ -24,22 +24,22 @@
     

    ๐•จ โ†“ ๐•ฉ: Drop

    For each integer in ๐•จ, drop that many elements from the beginning of each dimension of ๐•ฉ.

    Negative numbers drop from the end.

    -โ†—๏ธ
           3 โ†“ 1โ€ฟ3โ€ฟ5โ€ฟ67
    +โ†—๏ธ
        3 โ†“ 1โ€ฟ3โ€ฟ5โ€ฟ67
     โŸจ 67 โŸฉ
     
    -       b โ† 4โ€ฟ4 โฅŠ โ†•16
    +    b โ† 4โ€ฟ4 โฅŠ โ†•16
     
    -       3โ€ฟ3 โ†“ b
    +    3โ€ฟ3 โ†“ b
     โ”Œโ”€    
     โ•ต 15  
          โ”˜
     
    -       5โ€ฟ5 โ†“ b
    +    5โ€ฟ5 โ†“ b
     โ”Œโ”
     โ””โ”˜
     
     
    -       3โ€ฟยฏ3 โ†“ b
    +    3โ€ฟยฏ3 โ†“ b
     โ”Œโ”€    
     โ•ต 12  
          โ”˜
    diff --git a/docs/help/table.html b/docs/help/table.html
    index 2c405ade..29d7ecc5 100644
    --- a/docs/help/table.html
    +++ b/docs/help/table.html
    @@ -7,7 +7,7 @@
     

    Top Left Corner (โŒœ)

    ๐•จ ๐”ฝโŒœ ๐•ฉ: Table

    Apply ๐”ฝ between every possible pair of the elements of the arguments.

    -โ†—๏ธ
           1โ€ฟ2โ€ฟ3โ€ฟ4 +โŒœ 4โ€ฟ5โ€ฟ6โ€ฟ7
    +โ†—๏ธ
        1โ€ฟ2โ€ฟ3โ€ฟ4 +โŒœ 4โ€ฟ5โ€ฟ6โ€ฟ7
     โ”Œโ”€           
     โ•ต 5 6  7  8  
       6 7  8  9  
    @@ -15,7 +15,7 @@
       8 9 10 11  
                 โ”˜
     
    -       "abc" โˆพโŒœ "xyz"
    +    "abc" โˆพโŒœ "xyz"
     โ”Œโ”€                
     โ•ต "ax" "ay" "az"  
       "bx" "by" "bz"  
    diff --git a/docs/help/transpose_reorderaxes.html b/docs/help/transpose_reorderaxes.html
    index 42c50210..c1efb724 100644
    --- a/docs/help/transpose_reorderaxes.html
    +++ b/docs/help/transpose_reorderaxes.html
    @@ -7,25 +7,25 @@
     

    Circle Backslash (โ‰)

    โ‰ ๐•ฉ: Transpose

    Move the first axis of ๐•ฉ to the end.

    -โ†—๏ธ
           a โ† 3โ€ฟ3 โฅŠ โ†•9
    +โ†—๏ธ
        a โ† 3โ€ฟ3 โฅŠ โ†•9
     
    -       โ‰ a
    +    โ‰ a
     โ”Œโ”€       
     โ•ต 0 3 6  
       1 4 7  
       2 5 8  
             โ”˜
     
    -       b โ† 1โ€ฟ2โ€ฟ3 โฅŠ โ†•6
    +    b โ† 1โ€ฟ2โ€ฟ3 โฅŠ โ†•6
     
    -       โ‰ขโ‰ b
    +    โ‰ขโ‰ b
     โŸจ 2 3 1 โŸฉ
     

    ๐•จ โ‰ ๐•ฉ: Reorder Axes

    Rearrange the axes of ๐•ฉ as per the axis indices in ๐•จ.

    -โ†—๏ธ
           โ‰ข c โ† 2โ€ฟ3โ€ฟ4โ€ฟ5โ€ฟ6 โฅŠ1
    +โ†—๏ธ
        โ‰ข c โ† 2โ€ฟ3โ€ฟ4โ€ฟ5โ€ฟ6 โฅŠ1
     โŸจ 2 3 4 5 6 โŸฉ
     
    -       โ‰ข 1โ€ฟ3โ€ฟ2โ€ฟ0โ€ฟ4 โ‰ c
    +    โ‰ข 1โ€ฟ3โ€ฟ2โ€ฟ0โ€ฟ4 โ‰ c
     โŸจ 5 2 4 3 6 โŸฉ
     
    diff --git a/docs/help/under.html b/docs/help/under.html index c50a0af5..c55d48b2 100644 --- a/docs/help/under.html +++ b/docs/help/under.html @@ -16,12 +16,12 @@
  • A function invertible by โผ (Undo)
  • A structural modification
  • -โ†—๏ธ
           9โŒพ(1โŠธโŠ‘) 1โ€ฟ2โ€ฟ3
    +โ†—๏ธ
        9โŒพ(1โŠธโŠ‘) 1โ€ฟ2โ€ฟ3
     โŸจ 1 9 3 โŸฉ
     
    -       โˆšโผ (โˆš1) + (โˆš9)
    +    โˆšโผ (โˆš1) + (โˆš9)
     16
     
    -       1 +โŒพโˆš 9
    +    1 +โŒพโˆš 9
     16
     
    diff --git a/docs/help/undo.html b/docs/help/undo.html index 2799abaf..dfb27aeb 100644 --- a/docs/help/undo.html +++ b/docs/help/undo.html @@ -7,21 +7,21 @@

    Superscript Equals Sign (โผ)

    ๐”ฝโผ ๐•ฉ, ๐•จ ๐”ฝโผ ๐•ฉ: Undo

    Invert the function ๐”ฝ, or use its defined inverse. Not all functions have inverses.

    -โ†—๏ธ
           1 - 2
    +โ†—๏ธ
        1 - 2
     ยฏ1
     
    -       1 -โผ 2
    +    1 -โผ 2
     ยฏ1
     
    -       โˆš 16
    +    โˆš 16
     4
     
    -       โˆšโผ 4
    +    โˆšโผ 4
     16
     
    -       โ‹† 1
    +    โ‹† 1
     2.718281828459045
     
    -       โ‹†โผ 2.718281828459045
    +    โ‹†โผ 2.718281828459045
     1
     
    diff --git a/docs/help/valences.html b/docs/help/valences.html index 48078fe6..90848a48 100644 --- a/docs/help/valences.html +++ b/docs/help/valences.html @@ -7,17 +7,17 @@

    Circled Division Slash (โŠ˜)

    ๐”ฝโŠ˜๐”พ ๐•ฉ: Valences

    Apply ๐”ฝ to ๐•ฉ.

    -โ†—๏ธ
           +โŠ˜- 5
    +โ†—๏ธ
        +โŠ˜- 5
     5
     
    -       -โŠ˜+ 5
    +    -โŠ˜+ 5
     ยฏ5
     

    ๐•จ ๐”ฝโŠ˜๐”พ ๐•ฉ: Dyadic Valences

    Apply ๐”พ to ๐•จ and ๐•ฉ.

    -โ†—๏ธ
           4 +โŠ˜- 5
    +โ†—๏ธ
        4 +โŠ˜- 5
     ยฏ1
     
    -       4 -โŠ˜+ 5
    +    4 -โŠ˜+ 5
     9
     
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