Preview

1. Insight

---

1. Element's consecution is Parallel (cross nest-layer/vertical) and Nested (cross-nest/horizontal) from Upper-Level Line. Check [[Smart Order List/README#2.3 Consecution Principle (interaction)]] 1.1 Parallel Principle (same-layer nest): Parallel lists apply self-consistent consecution with each other in default 1.2 Nest Principle (higher-grade layer, lower-grade layer)
2. Proactive behavior 2.1 double Enter #style 2.2 Manual initial #style 2.3 Insert \ before prefix's . #silence
3. Passive behavior 3.1 single Enter 3.2 Space 3.3 Tab

2. Rule

Strive to make Rule self-consistent and achieve logical closed loop

2.1 Styles

2.1.1 Element Introduction

---

• Element, the smallest component of a list's prefix
• $Digit = {\emptyset,1,2,3,4}$
• Prefix: {Element} + {Digit}
• List: {Prefix} (Prefix Header)
• Mixture: Checkbox×{Ordered List} (Prefix Header + Prefix Tail)
• Line: {List, Mixture}

element_id	element_name	description(&sample)	primary_type	scondary_type	variation	mix_prefix	max_digit	mix_list
1	Numeral.1	classic #hotkey , 0-9 1. 1. 2. 1.1 3. 1.1.1 4. 1.1.1.1	ordered	Numeral	classic	1	4	1
2	Numeral.2	parenthesized, 0-9 1. (1) [[Smart Order List/README#^8b482e|Nested Prefix Rollback Mechanism]]	ordered	Numeral	parenthesized	0	1	1
3	Alphabet.1	uppercase, A-Z 1. A. 2. A.A 3. A.A.A 4. A.A.A.A	ordered	Alphabet	uppercase	1	4	1
4	Alphabet.2	lowercase, a-z 1. a. 2. a.a 3. a.a.a 4. a.a.a.a	ordered	Alphabet	lowercase	1	4	1
5	Chinese.1	classic 1. 一、 [[Smart Order List/README#^8b481e|Nested Prefix Rollback Mechanism]]	ordered	Chinese	classic	0	1	1
6	Bullet	bullet #hotkey 1. -	unordered	Bullet	classic	0	0	0
7	Checkbox	checkbox #hotkey 1. - [ ] 2. - [-] 3. - [x]	unordered	Checkbox	classic	0	0	1

2.1.2 Addition

• Prefix
  • Grey-Text-Prefix and Indent-Prefix
  • Single-Digit: End with .
  • Multi-Digit: . should and only separate every two Elements
  • Smart Prefix Distance (Reading mode)

    • Distance Logic

      • In 2-digit-prefix layer
        • 2ch
      • Latter layer
        • $Distance = ((num_element * 1ch) + (num_dot * 0.3ch)) + 2ch$
• Ordered List
  • Digit, the smallest unit of an Ordered List's Prefix. $Digit = {1,2,3,4}$
    • 1 Element in 1 Digit per Prefix
    • Max 4 digits per prefix: W.X.Y.Z
    • Initialized last-digit is customizable i.e. 1.1 > 1.a
  • By Rule, max 3 element-types per prefix
    • element option: Numeral.1, Alphabet.1, Alphabet.2
• Unordered List
  • 1 Element per Prefix
• other tips:
  • Insert Order in Heading ### through manipulating Obsidian Outline
  • Manual shuffle relieves disorder

2.2 Item Tree

2.2.1 All items

---

• Line (247)
  • List (parallel&nest) (124)
    1. Single-Digit List (single-element) (7)
       • Ordered (5)
       • Unordered (2)
    2. Multi-Digit List #mix_prefix #nested (117)
       • Ordered, element: Numeral.1, Alphabet.1, Alphabet.2
         • Single-Element
         • Multi-Element
  • Mixture #mix_list (123)
    • Checkbox×{Ordered List} (123)
      1. Checkbox-{Ordered List} #prepend #unordered (122)
      2. Numeral.1-Checkbox #append #ordered (1)
• Digit is exclusive to Ordered Element, thus Unordered List is Non-Digit
• Ordered List nests beneath Ordered List must be nested prefix, and the new nested digit is customizable (always in digit rule)
• Mixture's Prefix consists of Header and Tail (Tail exclusive to Mixture), check [[Smart Order List/README#2.4.2 Mix_List Permutation (Mixture)]]

2.2.2 Classification

---

Better convenient view for various study scenarios Element > List, Checkbox × {Ordered List} > Mixture

1. By Digit 1.1 Single-Digit 1.2 Multi-Digit 1.3 Non-Digit - Unordered List
2. By Prefix
   • Classifier 1
     1. Primary Prefix
        • List
        • Mixture
     2. Multi-Digit Prefix
        • Ordered List
        • Mixture
   • Classifier 2
     1. Ordered Prefix
        • Ordered List
        • Mixture
     2. Unordered Prefix
        • Unordered List
3. By Element primary_type 3.1 Ordered - Ordered List - Single-Digit List - Multi-Digit List - Mixture: Numeral.1-Checkbox 3.2 Unordered - Unordered List - Mixture: Checkbox-{Ordered List}
4. By Nest 4.1 Root Nest 4.2 Parent Nest 4.3 Child Nest
5. By Prefix Header and Tail of Mixture
   • Checkbox×{Ordered List}
     1. Checkbox-{Ordered List}
        • Checkbox #unordered
     2. Numeral.1-Checkbox
        • Numeral.1 #ordered

2.2.3 Discrimination

---

1. Non-Nest Discrimination: $$\text{Non-Nest List} \subsetneq (\text{Single-Digit List} \cap \text{Single-Element List})$$

Non-Nest List is a strict subset of Single-Digit List, also a strict subset of Single-Element List

2. Nest Discrimination: $$\text{Nested Prefix (multi-digit) Line} \subsetneq \text{Nested List}$$

Nested Prefix (multi-digit) Line is a strict subset of Nested List

3. Multi Discrimination: $$\text{Multi-Element List} \subsetneq \text{Multi-Digit List}$$

Multi-Element List is a strict subset of Multi-Digit List Study by Object

2.3 Consecution Principle (interaction)

• Consecution Principle refers to the effect arisen from the Upper-Level Line ==right above== (closest-nest) the typing one
• Study, extract, conclude and distill Principle from all case permutations

---

• Level: for describing the Line position
• Line: paragraph line level
  • {parallel, nested} #nest
  • {upper-level, lower-level} (relative&absolute) #vertical
  • {above, inline, beneath} (relative) #vertical
• Layer: {higher-grade, lower-grade}, for describing the nesting extent
• Nest: #horizontal
  • {higher-layer, lower-layer} (relative)
  • {primary, child} (absolute)
  • {root, parent, child} (property+relative)

2.3.1 Initial Shuffle Mechanism

---

About the initialization of Initial-Value Line Rule: Shuffle Last-Digit Element and succeed Other-Digit from Consecutive Parent-Nest Line

• [-] $Digit = {\emptyset, 1, 2, 3, 4}$
  • Initialize Last-Digit Element with initial value
• Special Case: check [[Smart Order List/README#2.3.2.1 Prefix Rollback Mechanism]]
  • Exceeded Digit
    • [-] $Digit > 4$
    • [-] Exceeding-1-Digit Numeral.2
    • [-] Exceeding-1-Digit Chinese
• By Rule:
  • Ordered Primary-Prefix in Child-Nest only beneath Unordered List
  • Multi-Digit Prefix must be in nested line

2.3.2 Subsequent Prefix Rewrite Mechanism

---

About the Line status in Subsequent-Value Line Rule: Increment Last-Digit Element and succeed Other-Digit from Consecutive Upper-Level Line

2.3.2.1 Prefix Rollback Mechanism

Rule: Rollback prohibited Prefix Line to Bullet List and keep the Nest Layer

• Exceeded-Digit Prefix Rollback
  • [-] $Digit > 4$
  • Exceeding-1-Digit Ordered List Rollback
    • Numeral.2 (parenthesized) ^8b482e
    • Chinese ^8b481e

2.3.2.2 Error Correction Mechanism

---

Correct Last-Digit Element with Unconsecutive-Value to self-consistent Element with consecutive value

• Rule: When Lower-Level Line manually initializes the Last-Digit Element with Unconsecutive-Value, the Element should be corrected to self-consistent Element with subsequent value by [[Smart Order List/README#2.3.2 Subsequent Prefix Rewrite Mechanism]], or self-consistent Element with initial value by [[Smart Order List/README#2.3.1 Initial Shuffle Mechanism]]
  • "self-consistent Element" respects the intention of manual typing, but Prefix's priority is over Plain Content
  • "value correction" gives more room for fault-tolerance
• Flow: Error triggers Correction
  1. [-] Last-Digit Element is inconsistent with Upper-Line, and with Uninitial-Value
     • Initial Shuffle by [[Smart Order List/README#2.3.1 Initial Shuffle Mechanism]]
  2. [-] Last-Digit Element is consistent with Upper-Line, but with Unsubsequent-Value
     • Subsequent Prefix Rewrite by [[Smart Order List/README#2.3.2 Subsequent Prefix Rewrite Mechanism]]

Instance

step_0

1. 1 L.

step_1

• Append Space in manual initialized line 2 beneath Numeral.1 Line line 1 to stylize it

outcome

1. 1 A.

Line 2 is corrected to self-consistent Element Alphabet.1 with consecutive value initial value A.

2.3.3 Exit Consecution Mechanism trigger

---

About the Line status after Severance, Trigger is the intermediate

• Inconsistent Parallel Line
  • Parallel ==Inconsistent== Prefix Header (List + Mixture)
    • Ordered
      • Ordered List
      • [-] Mixture: Numeral.1-Checkbox
    • Unordered
      • [-] Unordered List
      • [-] Mixture: Checkbox-{Ordered List} (special case check Prefix Tail)
  • Parallel ==Inconsistent== Prefix ==Tail== (List has no Prefix Tail)
    • [-] Mixture: Checkbox-{Ordered List}
  • [-] Parallel Codeblock e.g. ```, ~~~
    • Cut off Consecution (external)
    • Ban to respect Raw Codes (internal)
  • Parallel Callout e.g. > [!NOTE]
• Inconsistent Unparallel Line
  • Inconsistent Parent-Nest Line (closest-nest is default by Rule)
• [-] Heading e.g. ###
• [-] Dividing Line e.g. ---

2.3.4 Maintain Consecution Mechanism trigger

---

• About the Line status after Severance, Trigger is the intermediate
• Tips : Same Line would succeed
• Note: Must distinguish Parameter from pure Classifier, especially in Test's naming. (solution: Title takes with Parameter)

• Consistent Parallell Line
  • Parallel Consistent Prefix Header (List + Mixture)
    • Ordered
      • [-] Ordered List #succeed
      • [-] Mixture: Numeral.1-Checkbox #succeed #half-succeed
    • Unordered
      • [-] Unordered List #succeed
      • [-] Mixture: Checkbox-{Ordered List} #succeed #half-succeed (special case check Prefix Tail)
  • Parallel Consistent Prefix ==Tail== (List has no Prefix Tail)
    • [-] Mixture: Checkbox-{Ordered List} #succeed
• Unparallel Line
  • [-] Consistent Parent-Nest Line #succeed
  • [-] Lower-Layer Nest Line #non-effect
• [-] Blockquote > #non-effect
• [-] Plain Line #non-effect
• Unordered Prefix doesn't maintain consecution after severance
• Lower-Level Line (default) #non-effect

2.4 Mix Principle

$$\text {Mix Principle} = \text {{mix_prefix (Ordered List), mix_list (Mixture)}} $$

Unordered List is not internally mixable

2.4.1 Mix_Prefix Permutation (Ordered List)

Multi-Digit Ordered List (only in Nested-Line)

prefix_header: front/rear	Numeral.1	Alphabet.1	Alphabet.2
Numeral.1	1	1	1
Alphabet.1	1	1	1
Alphabet.2	1	1	1

2.4.2 Mix_List Permutation (Mixture)

• Rule: Mixture = Checkbox × {Ordered List}
• {Ordered List} follows [[Smart Order List/README#2.4.1 Mix_Prefix Permutation (Ordered List)]]

prefix: header/tail	Checkbox	Numeral.1
Checkbox	-	Consecutive Header
Numeral.1	Consecutive Tail #manual	-
Numeral.2	Consecutive Tail	-
Alphabet.1	Consecutive Tail	-
Alphabet.2	Consecutive Tail	-
Chinese.1	Consecutive Tail	-

• As for the left Mix scenarios, content in tail should be treated as Normal Content instead of Prefix. I.e. neither Prefix Rewrite Mechanism nor Mix_List could effect.

3. Typography

Num	Ordered-Element	Unordered-Element
1	Numeral.1 #classic	Bullet
2	Numeral.2 #parenthesized	Checkbox
3	Alphabet.1 #uppercase
4	Alphabet.2 #lowercase
5	Chinese.1 #classic

3.1 Inline Hotkey

• Rule:
  • Ordered-Prefix Hotkey (Numeral.1) effects Last-Digit Element, and Cooperate with [[Smart Order List/README#2.3.1 Initial Shuffle Mechanism]] and [[Smart Order List/README#2.3.2 Subsequent Prefix Rewrite Mechanism]]
  • Bullet Hotkey effects the Line's complete Prefix
  • Checkbox Hotkey effects Prefix-Tail

origin/add	Numeral.1	Numeral.2	Alphabet.1, Alphabet.2	Chinese.1	Bullet	Checkbox
Numeral.1	Toggle Off	Toggle Off	Overwrite	Overwrite	Overwrite	Overwrite
Bullet	Overwrite	Overwrite	Overwrite	Overwrite	Toggle Off	Overwrite
Checkbox	Append	Prepend	Prepend	Prepend	Overwrite	Switch Status

3.2 Parallel-Nest Ordered-Prefix

Last-Digit Element

upper/lower	Numeral.1	Numeral.2	Alphabet.1	Alphabet.2	Chinese.1
Numeral.1	Consecutive	Initial-Value	Initial-Value	Initial-Value	Initial-Value
Numeral.2	Initial-Value	Consecutive	Initial-Value	Initial-Value	Initial-Value
Alphabet.1	Initial-Value	Initial-Value	Consecutive	Initial-Value	Initial-Value
Alphabet.2	Initial-Value	Initial-Value	Initial-Value	Consecutive	Initial-Value
Chinese.1	Initial-Value	Initial-Value	Initial-Value	Initial-Value	Consecutive

• More to check [[Smart Order List/README#2.4.2 Mix_List Permutation (Mixture)]]

3.3 Child-Nest Ordered-Prefix

Last-Digit Element Child-Nest Ordered-Prefix is Multi-Digit Ordered-Prefix

nest: parent/child	Numeral.1	Numeral.2	Alphabet.1	Alphabet.2	Chinese.1
Numeral.1	Succeed	Overwrite	Succeed	Succeed	Overwrite
Numeral.2	-	-	-	-	-
Alphabet.1	Succeed	Overwrite	Succeed	Succeed	Overwrite
Alphabet.2	Succeed	Overwrite	Succeed	Succeed	Overwrite
Chinese.1	-	-	-	-	-

4. Test Case

Should conduct all the Analogical Reasoning tests

1. Consecution Principle > Initial Shuffle Mechanism

Case_1-1: $Digit = {\emptyset, 1, 2, 3, 4}$ #success

---

Instance $Digit = {3}$

step_0

1. a 1.1 b 1.2 c

step_1

• Append Tab in line 3 to stylize

Line 3 is expected to initialize itself in new nest with 3 digits

outcome

1. a 1.1 b 1.1.1 c

The Last-Digit Element of line 3 (the third-digit) successfully initialized with initia-value 1

Case_1-2: Exceeded Digit > $Digit > 4$ #success

---

Instance (Rollback)

step_0

1. a 1.1 b 1.1.1 c 1.1.1.1 d 1.1.1.2 e

step_1

• Append Tab in line 5 to stylize

Line 5 is expected to initialize itself in new nest with 5 digits

outcome

1. a 1.1 b 1.1.1 c 1.1.1.1 d - e - f
   • g

• h

• Line 5 successfully rollbacked to Bullet List
• others: Bullet List in line 5-8 successfully stylized as native Bullet dot style

Case_1-3: Exceeded Digit > Exceeding-1-Digit Numeral.2 #success

---

Instance (Rollback)

step_0

(1) 1 (2) 2 (3) 3

step_1

• Append Tab in line 3 to stylize

Line 3 is expected to initialize itself in new nest with 2 digits

outcome

(1) 1 (2) 2 - 3

• Line 3 successfully rollbacked to Bullet List
• Bullet List in line 3 successfully indented and stylized as native Bullet dot

Case_1-4: Exceeded Digit > Exceeding-1-Digit Chinese #success

---

Instance (Rollback)

step_0

一、 1 二、 2 三、 3

step_1

• Append Tab in line 3 to stylize

Line 3 is expected to initialize itself in new nest with 2 digits

outcome

一、 1 二、 2 - 3

• Line 3 successfully rollbacked to Bullet List
• Bullet List in line 3 successfully indented and stylized as native Bullet dot

2. Consecution Principle > Subsequent Prefix Rewrite Mechanism

Case_2-1: Prefix Rollback Mechanism #success

• Review case:
  • [[Smart Order List/README#Case_1-2 Exceeded Digit > $Digit > 4$ success]]
  • [[Smart Order List/README#Case_1-3 Exceeded Digit > Exceeding-1-Digit Numeral.2 success]]
  • [[Smart Order List/README#Case_1-4 Exceeded Digit > Exceeding-1-Digit Chinese success]]

Case_2-2: Error Correction Mechanism > Last-Digit Element is inconsistent with Upper-Line, and with Uninitial-Value #success

---

Instance

step_0

a. 1 5.

step_1

• Append Space in line 5 to stylize

outcome

a. 1 1.

Line 2 is successfully corrected to self-consistent Element with consecutive value by Initial Shuffle

Case_2-3: Error Correction Mechanism > Last-Digit Element is consistent with Upper-Line, but with Unsubsequent-Value #success

---

Instance

step_0

1. 1

step_11

• Append Space in line 2 to stylize

outcome

1. 1

Line 2 is successfully corrected to self-consistent Element with consecutive value by Subsequent Prefix Rewrite

3. Consecution Principle > Exit Consecution Mechanism

Case_3-1: Parallel Inconsistent Prefix Header > Ordered List #success

---

Instance_1

step_0

1. 1 a. 2

step_1

• Append Space in line 3 to stylize and type

outcome

1. 1 a. 2

Line 2 is Alphabet.2 in inconsistent prefix header from line 1 Line 3 successfully exited consecution from line 1 (initial shuffle)

Case_3-2: Parallel Inconsistent Prefix Header > Mixture: Numeral.1-Checkbox #success

---

Instance

step_0

a. 1

1. 2 a.

step_1

• Append Space in line 3

outcome

a. 1

1. 2 a.

Line 2 is Numeral.1 in prefix header inconsistent from Alphabet.2 in line 1 Line 3 successfully exited consecution from line 1 (initial shuffle)

Case_3-3: Parallel Inconsistent Prefix Header > Unordered List #success

---

Instance

1. 1

• 2

1. 3

Line 3 successfully exited consecution from Numeral.1 in line 1

Case_3-4: Parallel Inconsistent Prefix Header > Mixture: Checkbox-{Ordered List} #success

---

Instance

a. 1

• 1. 2 a. 3.

Line 3 below inconsistent Prefix Header Checkbox in line 2 Mixture, successfully exited consecution from Alphabet.2 in line 1

Case_3-5: Parallel Inconsistent Prefix Tail > Mixture: Checkbox-{Ordered List} #success

---

Instance_1

• 1. 1
• a. 2
• 1. 3

Line 3 below Prefix Tail Alphabet.2 in line 2 Mixture, successfully exited consecution from Prefix Tail Numeral.1 in line 1

Case_3-6: Parallel Codeblock #success

---

Instance

a. 1

2

a. 3

Last line beneath parallel Codeblock successfully exited consecution from Alphabet.2 in line 1

Case_3-7: Parallel Callout #success

---

Instance

step_0

1. 1

[!NOTE] Title 2

step_1

• Append Space in last line to stylize

outcome

1. 1

[!NOTE] Title 2

2. 3

Last line beneath parallel Callout successfully exited consecution from Numeral.1 in line 1

Case_3-8: Inconsistent Parent-Nest Line #success

---

Instance

step_0

1. 1
   • 2
     • 3

step_1

• Append Numeral Hotkey in line 3

outcome

1. 1
   • 2
     1. 3

Line 3's Inconsistent Parent-Nest Line is line 2 Line 3 successfully exited consecution from Numeral.1 in line 1

Case_3-9: Heading #success

---

Instance

1. 1

2

1. 3

Line 3 beneath Heading successfully exited consecution from Numeral.1

Case_3-10: Dividing Line #success

---

Instance

1. 1

---

1. 2

4. Consecution Principle > Maintain Consecution Mechanism

Case_4-1: Parallel Consistent Prefix Header > Ordered List #succeed #success

---

Instance

a. 1 b. 2 c. 3

Line 3 successfully maintained consecution from line 1 and succeeded line 2 in Alphabet.2

Case_4-2: Parallel Consistent Prefix Header > Mixture: Numeral.1-Checkbox #succeed #half-succeed #success

---

Instance #half-succeed

1. 1
2. 2
3. 3

Line 3 beneath Parallel Consistent Prefix Header Numeral.1 in line 2, successfully maintained consecution from line 1 and half-succeeded line 2 in Numeral.1

Case_4-3: Parallel Consistent Prefix Header > Unordered List #succeed #success

---

Instance

• 1
• 2
• 3

Line 3 successfullly maintained from line 1 and succeeded from line 2 in Bullet

Case_4-4: Parallel Consistent Prefix Header > Mixture: Checkbox-{Ordered List} #succeed #half-succeed #success

---

Instance_1 #half-succeed

• 1
• a. 2
• 3

Line 3 beneath Parallel Consistent Prefix Header Checkbox in line 2 Mixture, successfully maintained consecution from Checkbox in line 1 and half-succeeded line 2 in Checkbox

Instance_2 #half-succeed

• a. 1
• 1. 2
• a. 3

Line 3 beneath Parallel Consistent Prefix Header Checkbox in line 2, successfully maintained from Checkbox in line 1 and half-succeeded line 2

Case_4-5: Parallel Consistent Prefix Tail > Mixture: Checkbox-{Ordered List} #succeed #success

---

Instance_1

• 1. 1
• 2. 2
• 3. 3

Line 3 beneath line 2 successfully maintained consecution from Numeral.1 in line 1 and succeeded line 2 in Prefix Tail Numeral.1 Note: Prefix Tail is exclusive to Mixture, so Parallel Consistent Prefix Tail means the same Mixture in both header and tail i.e. last line should succeed the upper line

Instance_2 #dialectic

1. 1

• 1. 2

1. 3

Attention: List has no Prefix Tail. Instance_2 is dialectic instance to relieve potential concern of Parallel Consistent Prefix Tail Case Line 3 successfully neither maintained consecution from Numeral.1 in line 1 nor half-succeeded line 2, although it seems to share the same Prefix Tail Numeral.1 with line 2 Mixture which is illegal

Case_4-6: Unparallel Line > Consistent Parent-Nest Line #succeed #success

---

Instance

1. 1 1.1 2 1.1.1 3

Line 3 successfully maintained consecution from Numeral.1 in line 1 and succeeded from line 2

Case_4-7: Unparallel Line > Lower-Layer Nest Line #non-effect #success

---

Instance

1. 1 1.a 2
2. 3

Line 3 beneath Lower-Layer Nest Line line 2, successfully maintained from Numeral.1 in line 1 and line 2 has non-effect

Case_4-8: Blockquote > #non-effect #success

---

Instance

1. 1

2

2. 3

Line 3 is successfully uneffected by Blockquote in line 2

Case_4-9: Plain Line (non-List) #non-effect #success

---

Instance

1. 1 2
2. 3

Line 3 is successfully uneffected from Plain Line in line 2