Snippets Concepts Nassi Shneiderman Flowcharts

Index for Snippets Concepts Nassi Shneiderman Flowcharts



Preface


gold 3/29/2026. Advisor requests similar to previous snippets, but on topic of better organizing snippets into modular snippets inside modular structured programs. Particularly if an example is needed for the Workspace, the Wiki page on Snippets Concepts SlideRule to Quantum could use some of NSD polishing and theory. The Nassi Shneiderman Flowcharts can be used for hammering out the high-level Nassi-Schneiderman overview of an entire TCL program structure, low level logics on TCL procs, pseudocode, and technical report flow.


I do not have all the answers. The Ideas Seemed to work, but maybe drawbacks? When measured by the Tcl timing statements, completion times and solutions of parameters will differ on different computer set-ups. Assume a future maintainer, either AI Model or human programmer, would have to maintain code with info content and explanatory variable name in program, ref "Snippets Concepts Effects". The Nassi Shneiderman Diagrams NSD or Flowcharts pertain to the Tool Control Language TCL computer language as well as other computer languages like Python 3, pseudocode, word logic problems, and technical reports. An NSD page and structural programming would be interesting on the Wiki, since flowcharting and teaching flowcharts is a perennial issue for TCL'ers. I understand that the Nassi Shneiderman Flowcharts are notably popular in German textbooks and original German standards. Hence, some of the effort, examples, and references may be autotranslated to/from rusty German, Python quibbles, etc. The preliminary discussion will favor the developing of NDS features for modular procs and subroutines for brevity over a lengthy list of lines. For each logic condition selecting a path or calculation task, we might have one, two, or multiple deterministic branches. Attempting to adapt NDS as Wiki table format to multiple probabilistic branches used in Artificial Intelligence AI Models.


Particularly, the Collatz Conjecture offers a variety of situations where the NDS diagrams are useful in studying the low level logic of sequence calculations. Examines the iterative sequence for the question of how many steps, or iterations, each number requires before reaching 1 remains central. Since the Collatz Sequences are infinite, we will be modeling core concepts as flowcharts, but will simplify to ideal behavior in models/code and probably truncate after the interesting portions.


Limitations on Tool and Disclaimer


The TCL Snippets illustrate ideal mathematical behavior only and do not perform full simulation, actual measurements, or state vector evolution. The tool only visualizes ideal math structure, whereas no state vector simulation, probabilities, or actual measurement outcomes are derived. This tool for visualization does not simulate actual measurement outcomes or state vector evolution during operations. These are idealized protocols for tutorial purposes. Primarily, TCL /TK uses its strong points here for book keeping and displays. The example tool is not a full emulator. Meaning, limited scope for tutorial purposes.


Disclaimer. None of the computer programs, numerical experiments, power-law fits, or physical analogies described here give a strict, formal proof of the Collatz Conjecture, either individually or in combination. The tools and analogies are heuristic models and visualization tools that follow engineering “rules of thumb.” Whereas, pure mathematics has its own shop rules for what counts as a rigorous proof. Any opinions on the difficulty or plausibility reflect current understanding here and programming of the Collatz Conjecture as a very hard open problem, not a completed exact math proof, and are offered with full respect for the standards of professional mathematicians.


Extra Significant Figures, If Any in Debugging


In debugging the calculations, some of the printout values reflect roughly 17-digit precision output from a typical double-precision computation. It's not "true exact" beyond 5 significant figures. Extra significant figures are used to check the calculations from other computer set-ups, not necessarily to infer accuracy of data measurements here. Typically, the slight differences in decimal places on far right of decimal point are normal floating-point behavior in Tcl's expr.


Introduction


Here are several wiki ready examples of nested if statements adapted to the Wiki Tables format. In classic Nassi Shneiderman diagrams (NSD/structograms), nesting is shown by placing one decision block (condition at top, true-branch left, false-branch right) inside another branch. The tabular version below approximates this with columns:


  • Condition (outer or current level)
  • True / Then branch (left side in NSD)
  • False / Else branch (right side in NSD)

Wiki Table Approximations for NSD's as Experimental Notation


The Wiki Table format as (%| header + &| rows) is one of the alternate ways to represent NSDs in MediaWiki without images. Columns for Condition, True/Then (Left), False/Else (Right), and Quibble/Notes mimic the left-true / right-false convention of real NSDs.


Table Definition from Wiki Markup Help Page


From the Wiki Markup Help Page. A table row is specified as a line starting and ending with a pipe (|) sign. Each row element is separated with a pipe sign too. A header row start with %| and end with |%. To color even and odd rows differently, start rows with &| and end them with |&. An example:

%| Row 1 | Row 2 | Row 3 |%
&| a | b | c |&
&| d | e | f |&
&| a | b | c |&
&| d | e | f |&

Info on NDS Levy of Changes on Wiki Table Variables


The NDS content contains two tables with extra information on logic and statements from a computer program. Column 1 should be index number and column should be Quibble Notes. Normally the user is dumping two tables for Defining Diagram ... and Solution Diagram from the NDS protocol. Columns for Condition, True/Then (Left), False/Else (Right), and Quibble/Notes mimic the left-true / right-false convention of real NSDs.


Adapting format of wiki table to Nassi-Schneiderman Flowcharts. Mostly subroutines for brevity over lengthy list of lines. For each condition, we might have one, two, or multiple branches. So now for the simplest branch choices (say, 2 for T/F), we add the T/F columns after the condition. But with multiple choices, the diagram gets visually complicated to human eye, and the goal here would be no ambiguity in the logic paths that follow, same as regular flowcharts and deterministic programs. For example from Fortran code, the multiple branch sometimes might be Condition ( -1,0,+1 ). Trying to look ahead, I think the multiple choices from probabilistic binary logic might be Condition ( 1*S_Rand, 2*S_Rand, 3*S_Rand, 4*S_Rand, 5*S_Rand, ... ) . In potential, the AI Model is weighing thousands of these probabilistic variables on each branch, so a brief table format is unlikely to cover all cases.


Alternate text. Suggest Use a single condition column, then add logic or splitting branch columns only when needed. Keep the last column for Quibble / Notes.


For deterministic binary choices, use T and F as the branch labels.
For probabilistic or multibranch choices, use indexed outcome labels such as B1, B2, B3, or R1, R2, R3 for random outcomes.
For probability weights, place the actual weights in the branch cell. 
But not in a separate column,
unless the wiki table is still narrow enough to stay readable.

%|Index No. | Row 2 |Quibble Notes |%
&| a | b | c |&
&| d | e | f |&
&| a | b | c |&
&| Sum / Audit | e | f |&

Test Mode from Adaptations from More Member Suggestions.


Loading 3 branches, not much room for more.


%|Index No. # | NDS Condition  | True / Then (Left Branch 1)|Probability | Normalized prob. /Factored |False / Else (Right Branch 2)|Probability| Normalized prob. /Factored  |Branch 3|Probability | Normalized prob. /Factored | NDS Elements Type | Probabilistic Logic Element |    Risk / Confidence Level |   Safety Margin     |Quibbles and Notes |%
&| a | b | c ||||||||||||||&
&| d | e | f ||||||||||||||&
&| a | b | c ||||||||||||||&
&| Sum / Audit | e | f ||||||||||||||&

Index No. # NDS Condition True / Then (Left Branch 1)Probability Normalized prob. /Factored False / Else (Right Branch 2)Probability Normalized prob. /Factored Branch 3Probability Normalized prob. /Factored Branch 4 Probability Normalized prob. /Factored NDS Elements Typre Probabilistic Logic Element Risk / Confidence Level Safety Margin Quibbles and Notes
a b c
d e f
a b c
Sum / Audit e f

This experimental version for mostly AI engineering now includes "Probabilistic Logic Element," Risk / Confidence Level, and Safety Margin. Intended for use in technical procedures in engineering, utilities, software, or safety-critical documentation. The discussion here bridges the Nassi-Shneiderman Diagram NSD structures with probabilistic logic elements. Probabilistic logic measures are very useful for technical writing in engineering, software, or city utility contexts like the spare parts and transformer models.


Note. Some data sets as probabilistic logic do not have true T/F picks, as defined here, but zip marks --- may be loaded for emphasis. The Sum/Audit Row has been suggested.


Note. Some results from Artificial Intelligence AI LLM branches may not conserve Probability. Meaning, Conservation as defined in the simple Rule: sum of all probabilities equals one 1. The LLM branches may not be mutually exclusive Probability values. For example, an AI system is diagnosing power transformer failure in a City Utility. In a decision nodes and branches context, the AI Model might simultaneously assign 0.60 probability to "overheating," 0.45 probability to "insulation degradation," and 0.30 probability to "overload." These three probabilities sum to 1.35, which exceeds 1.0. Meaning, a power transformer in the City Utility can fail from multiple overlapping causes.


Probability Audit Notes


I almost hate to ask this, but are there logic checks that could be added as columns? Do all your probabilities add up to one? I’m not sure my .. checks ever reaches one in retirement! Joking!


  • All probabilities should be ≥ 0 (non-negative).
  • The branches should be exhaustive and cover all possible cases.
  • The branches should sum to 1.0 (normalized).
  • If branches don’t sum to 1, you can normalize
  • by dividing each probability by the current total.


Collatz Probabilistic Variants in AI multi-outcome, Probabilistic Token Choices



The classic Collatz conjecture applies deterministic rules based on parity. Probabilistic variants relax this determinism by modeling steps as random choices with assigned weights.


1) One widely studied heuristic treats the sequence as a random walk on the logarithms of the numbers.


2) A second key variant appears in stochastic Collatz maps analyzed in papers by Kontorovich and others. Here the process no longer checks parity strictly. Instead each iteration independently selects the divide-by-two branch with probability two thirds or the multiply-by-three-plus-one branch with probability one third. These probabilities arise from the long-run parity statistics observed in Collatz sequences. The resulting Markov chain converges almost surely to the trivial cycle at one because the negative drift dominates. This model directly supports probabilistic documentation because each branch now carries explicit probability weights rather than fixed true-false outcomes.


3) A third adaptation treats Collatz as a multi-outcome decision node suitable for artificial intelligence AI decision trees.


These probabilistic variants do not prove the original conjecture. The probabilistic variants do supply strong heuristic evidence that divergence or non-trivial cycles have probability zero.


Summary



Simple Nested If (Two Levels) Example


Index Outer Condition True / Then (Left Branch) False / Else (Right Branch) Quibble / Notes
1 if (recording == 1) if (replayList length > 0) → recordStep() stopRecording; set status "IDLE" Player-piano record toggle; inner if only runs on true path
2 if (n > 1000) clamp n=1000; log "oversize" proceed with n Safety clamp; nested inside tree-depth check in Section 1

Wiki Table. Classic Positive / Even-Odd Example


Common Teaching Case on TCL wiki.


Index Outer Condition True / Then False / Else Quibble / Notes
1 if (num > 0) if (num % 2 == 0) → "positive even" "positive odd" Nested decision for sign + parity; left=true, right=false per NSD style
2 (else of outer) "non-positive" (none) Outer false branch ends the structure


Wiki Table. NSD Example, Add 2 Numbers A & B



Index N-S Element Step Action Quibble / Notes
1 Sequence Start Begin program Entry point
2 Sequence Input Read A Get first number
3 Sequence Input Read B Get second number
4 Sequence Computation Sum = A + B Perform addition
5 Sequence Output Display Sum Show result
6 Sequence End Terminate program Clean exit


Wiki Table. NSD Example, Positive or Negative?


Basic Two-Way Decision



Index N-S Element Condition True / Then (Left Branch) False / Else (Right Branch) Quibble / Notes
1 Sequence Start Begin program — Entry point
2 Sequence Input Read N — Get number from user
3 Selection if N > 0 Display "Positive" Display "Zero or Negative" True left, False right per classic N-S style
4 Sequence End Terminate program — Clean exit

Wiki Table. NSD Example, Count Down with a Loop


Repetition or Iteration Steps


Index N-S Element Step Condition / Action Quibble / Notes
1 Sequence Start Begin program Entry point
2 Sequence Initialization Set I = 5 Prepare counter
3 Iteration While I > 0 Display I; Set I = I - 1 Repeat until counter reaches zero
4 Sequence End Terminate program Clean exit after loop

Wiki Table. Three-Level Deep Nesting Example


Levels here are Safety + Recording + Replay.


Index Level 1 Condition Level 2 Condition True / Then (Inner Most) False / Else Quibble / Notes
1 if (recording == 1) if (step count < 2000) if (all 6 items valid) → append to replayList skip or log "invalid snapshot" Deep nesting in recordStep proc; safety cap prevents infinite loops (Collatz-style)
2 (Level 1 false) (skipped) stopRecording set status "STOPPED" Outer else re-joins at bottom

Wiki Table. Multi-Branch Approximation (If / Else-If Chain ) Example


For chains that feel like nested if-else-if, widen the Wiki table.


Index Condition Chain Branch 1 (True) Branch 2 Branch 3 Default / Else Quibble / Notes
1 if status == "IDLE" show "ready"; allow Record (next check) (next check) (next check) Player-piano status label; sequential top-to-bottom evaluation
2 else if status == "REC" recordStep(); update count (next) (next) (next) Nested feel; each true branch can contain further actions or sub-if
3 else if status == "PLAY" replayStep(current i) (next) (next) (next) After-play re-joins
4 else set "LOADED/SAVED" or error (none) (none) (none) Final default branch

Wiki Table. NSD Example, Find the Largest of Three Numbers


Example of Nested Branching


Index N-S Element Condition True / Then (Left Branch) False / Else (Right Branch) Quibble / Notes
1 Sequence Start Begin program — Entry point
2 Sequence Input Read A, B, C — Get three numbers
3 Selection if A >= B and A >= C Max = A (next condition) Outer decision
4 Selection else if B >= C Max = B Max = C Nested decision (True left, False right)
5 Sequence Output Display Max — Show result
6 Sequence End Terminate program — Clean exit

Wiki Table. NSD Example, Simple Menu Choice


Multi-Branch Selection



Index N-S Element Condition Branch 1 Branch 2 Branch 3 Default / Else Quibble / Notes
1 Sequence Start Begin program — — — Entry point
2 Sequence Input Read Choice — — — Get user selection
3 Selection if Choice = 1 Display "Add" — — — First option
4 Selection else if Choice = 2 — Display "Delete" — — Second option
5 Selection else if Choice = 3 — — Display "Quit" — Third option
6 Selection else — — — Display "Invalid selection" Default case
7 Sequence End Terminate program — — — Clean exit

Wiki Table. Tcl-Specific Example from Quantum Walk SlideRule


Index Outer Condition True / Then False / Else Quibble / Notes
1 if ($::recording) recordStep (capture 6 items + log STEP line) do nothing (or warning) recordStep proc; explicit user action only
2 if (px < left_limit px > right_limit) snapMark to nearest limit to allow free drag, Mouse helper in buildSection*; defensive clamp style
3 if (lam < 1e-6) log "practically zero"; use fallback 0 use computed λ=(3/4)^k Eigenvalue ladder (Section 2); very small λ at high k


Wiki Table. Complex Nesting Example for NDS


Works for both N_S Defining Diagram ( high level) and Solution diagram { proc / line logic level }


Index N-S Decision Block True / Then (Left Branch) False / Else (Right Branch) Quibble / Notes
1 Outer: if ($::recording == 1) → recordStep (capture 6 items + log STEP) stopRecording; set status "IDLE" True left, False right per classic NSD; player-piano toggle
2 Level 2 (nested inside True): if (step count < 2000) → append to ::replayList; update status skip; log "safety cap reached" Prevents Collatz-style infinite loops; McCarthy-style safety
3 Level 3 (nested inside Level 2 True): if (all 6 px valid) → lappend 6 entries to replayList log "invalid snapshot"; abort step Deep nesting in recordStep; defensive NASA/JPL style
4 Outer False (else of recording check) (none - rejoin) set ::recStatus "STOPPED" Structure rejoins at bottom; no further nesting

Wiki Table. Combined Nesting Example for NDS Solution Diagram


Index N-S Decision Block True / Then (Left Branch) False / Else (Right Branch) Quibble / Notes
1 Outer: if (lam < 1e-6) → log "practically zero"; use fallback 0 use computed λ=(3/4)^k From eigenvalue ladder (Section 2); True left, False right
2 Level 2 (inside True): if (k > 20) → set ξ=1; mark as "very small" (none) Quantized handling of tiny lambda values in your debug table

Adding Probabilistic Elements, Inferences, and Implications in the Following NSD Examples.



The following NSD examples make use of "Probabilistic Logic Elements". Or else, some NSD Examples are the more complex diagrams that have probabilistic inferences and implications.


The discussion here bridges the Nassi-Shneiderman Diagram NSD structures with probabilistic logic elements. Probabilistic logic measures are very useful for technical writing in engineering, software, or city utility contexts like the spare parts and transformer models.


Wiki Table. NSD Example, Definition and Uses of "Probabilistic Logic Element" in Columns


Guidance for the "Probabilistic Logic Element" column


Index Column Name Definition Primary Uses in Technical Writing When to Include It Risk / Confidence Level Safety Margin Quibble / Notes
1 Probabilistic Logic Element The statistical or uncertainty aspect of a step, decision, or process. It describes how probability, risk, or randomness affects the outcome. To highlight where uncertainty exists, where failure is possible, or where confidence levels matter. When the procedure involves risk, retries, safety checks, error handling, or real-world variability. Medium to High 1.65–2.0 sigma (95% confidence) Makes technical writing more honest about real-world uncertainty instead of pretending everything is deterministic.
2 Probabilistic Logic Element Examples: expected failures (mu), standard deviation (sigma), confidence level (95%), safety buffer (k×sigma), retry probability, failure rate (AFR). To connect Nassi-Shneiderman structure with probabilistic thinking. In engineering procedures, utility planning, software error handling, maintenance schedules, or spare-parts calculations. Medium 2.0 sigma Especially useful when adapting the TCL wiki spare-parts logic to technical documentation.
3 Probabilistic Logic Element It answers: “What is the chance this step fails or behaves differently?” To help readers understand risk and prepare for edge cases. When writing safety-critical procedures, troubleshooting guides, or planning documents (e.g., spare poles/transformers in winter storms). High 2.5 sigma (99% confidence) Prevents overconfidence in technical docs by explicitly showing probabilistic nature.
4 Probabilistic Logic Element Not needed for purely deterministic steps (e.g., “Click Save”). Optional for simple linear procedures. Only add when probability or uncertainty actually matters to the reader or outcome. Low None Keep the column clean — don’t force it into every row.

Wiki Table. Probabilistic Logic Example, Alternative Compact Version


8 columns – easier to read


Index Condition Branch Probability Outcome Action Normalized Logic Check Quibble / Notes
1 if (u < 0.2) B1 (Small) 0.20 recordStep low weight Yes Non-negative Small branch – typical for rare quantum events
2 if (0.2 ≤ u < 0.7) B2 (Medium) 0.50 standard lambda path Yes Non-negative Most likely path in your slide rule logic
3 else (u ≥ 0.7) B3 (Large) 0.30 fallback / clamp Yes Non-negative Safety default when probability is high
4 Total / Audit — 1.00 — Yes Complete + Normalized Probability audit: nonnegative, exhaustive, sums to 1

Note. This format as probabilistic logic does not have true T/F picks, as defined here, but zip marks --- may be loaded for emphasis. The Sum/Audit Row has been suggested.


Wiki Table. Probabilistic Logic in NDS Example / Wiki Table Format


Index Condition Branch Code True / Then (Left) False / Else (Right) Probability Outcome Action Normalized Logic Check Quibble / Notes
1 if (u < 0.2) B1 Small probability path — 0.20 recordStep with low weight Yes Non-negative + Partial Simple weighted split; common in quantum walk hit probability
2 if (0.2 ≤ u < 0.7) B2 Medium probability path — 0.50 normal lambda calculation Yes Non-negative + Partial Middle branch – most common case in your eigenvalue ladder
3 else (u ≥ 0.7) B3 Large / default path — 0.30 use fallback or clamp Yes Non-negative + Exhaustive Default safety path; prevents missing probability mass
4 Sum / Audit Row — — — — 1.00 — Yes Complete + Normalized, All probabilities sum to 1.000 — audit passed

Note. This format as probabilistic logic does not have true T/F picks, as defined here, but zip marks --- loaded for emphasis. The Sum/Audit Row has been suggested.


Wiki Table. Adaptation for Technical Writing, NDS Definition Diagram


Used in Structured Procedure / Step-by-Step Guides. The most common use in prose. High level diagram for breaking down into paragraphs, and technical sections.


Index N-S Element Step / Paragraph Condition / Decision Action / Outcome Quibble / Notes
1 Sequence Start procedure — Open log file and initialize console Standard NASA/JPL defensive start
2 Selection Check recording flag if ($::recording == 1) recordStep (capture positions) True left branch per NSD
3 Selection (nested) Safety check inside recording if (step count < 2000) append to replayList Level 2 nested if
4 Iteration Replay loop while steps remain replayStep i with delay After loop re-joins
5 Sequence End procedure — closeLogFile and exit Clean shutdown


Wiki Table. Adaptation for Technical Writing, NDS Solution Diagram


Used in Paragraph Analysis / Technical Explanations. Low level Diagram for breaking down prose, paragraphs, and technical sections.


Index N-S Element Original Paragraph / Sentence Logic Type Structured Meaning Quibble / Notes
1 Sequence The slide rule has three sections. Sequence Section 1 = CFG propagation, Section 2 = Eigenvalue ladder, Section 3 = Walk arithmetic Straight linear description
2 Selection If the user presses F5, recording starts. Selection True: startRecording; False: do nothing Decision point clearly marked
3 Iteration The replay system repeats each stored step with a 400 ms delay. Iteration Loop over ::replayList until end Repeated action made obvious
4 Selection If λ < 1e-6, log “practically zero”. Selection True: use fallback 0; False: use computed λ Safety rule in technical spec
5 Sequence The final status label shows IDLE, REC, STOP, etc. Sequence Display current state to user Summary line


Wiki Table. Technical Writing Master Table, NDS Diagram Example


This experimental version now includes "Probabilistic Logic Element," Risk / Confidence Level, and Safety Margin. Intended for use in technical procedures in engineering, utilities, software, or safety-critical documentation.


Index N-S Element Probabilistic Logic Element Purpose in Technical Writing When to Use Typical Structure Example Use Case Risk / Confidence Level Safety Margin Quibble / Notes
1 Sequence Deterministic linear flow Clear ordered steps with no uncertainty Installation guides, standard procedures, tutorials Simple ordered list of actions "How to launch the Quantum Walk Slide Rule" Low risk None (deterministic) Safest and most common pattern; minimal probabilistic risk
2 Selection Binary decision with success/failure probability Conditional logic where outcomes have different likelihoods Error handling, configuration, troubleshooting If-Then-Else branches "If recording flag is true then capture positions, else show warning" Medium risk 1.65 sigma (95% confidence) True left, False right per N-S convention; highlights probabilistic branch risk
3 Iteration Repeating process with cumulative failure probability Loops that may succeed or fail over multiple cycles Monitoring, retry logic, maintenance routines While / For / Repeat loops "Retry connection up to 5 times or until success" Medium-High risk 2.0 sigma or retry limit Probability of early exit or total failure increases with each iteration
4 Nested Selection Multi-level conditional probability Complex decisions with layered risk Advanced troubleshooting, validation rules, safety checks Multiple nested if/else "Safety cap check inside recordStep with nested validation" High risk 2.0–2.5 sigma Depth increases probabilistic complexity; use carefully in technical docs
5 Multi-Branch Selection Multi-outcome probability distribution Menu-style or categorized choices with varying likelihoods Configuration menus, command references, option lists Switch / Case style "Player-piano menu: Record, Replay, Save, Load, Invalid" Medium risk 1.65 sigma (95% confidence) Good when different branches have different success probabilities
6 Sequence + Selection Combined flow with embedded decision probability Most real-world technical procedures Procedures that mix steps and conditional logic Mix of sequence and branches "Backup procedure with error detection and retry logic" Medium risk 1.65–2.0 sigma Most practical pattern for engineering and software documentation
7 Sequence + Iteration Repeating sequence with cumulative risk Automated or monitoring processes Batch jobs, health checks, safety loops Loop containing ordered steps "Daily server health check with probabilistic retry" Medium-High risk 2.0 sigma or max retry count Cumulative probability of failure grows with each cycle
8 Audit / Summary Row Overall probabilistic completeness check Final review of technical content Verify coverage of normal cases and edge probabilities Check logical flow and risk "Does the procedure cover 95% of expected scenarios with safety margin?" Overall risk assessment 95% confidence target Ensures the technical writing is logically complete and probabilistically sound


Wiki Table. Example Adaptations for Poetry, Allusions, NDS Example for Defining Diagram



Index N-S Element Muse Domain True / Then (Left Branch) False / Else (Right Branch) Quibble / Notes
1 Sequence Calliope Epic Poetry & Eloquence Invoke heroic verse and grand narrative Turn to lighter forms Chief Muse – leads the structured flow of long works
2 Selection Clio History Record true events with accuracy Embellish with myth Memory and truthful documentation branch
3 Selection Erato Lyric & Love Poetry Write tender, passionate verses Shift to solemn tone Erotic and romantic inspiration path
4 Iteration Euterpe Music & Lyric Poetry Repeat melodic phrases and rhythms Break into new harmony Flute and musical repetition loop
5 Selection Melpomene Tragedy Embrace sorrow, downfall, and catharsis Choose joyful resolution Mask of tragedy – serious dramatic branch
6 Selection Polyhymnia Sacred Poetry & Hymn Compose hymns and religious praise Turn to secular themes Veiled Muse of sacred song
7 Selection Terpsichore Dance & Choral Song Move with graceful rhythm and choreography Stand still in contemplation Dancing Muse – physical iteration
8 Selection Thalia Comedy Spark wit, humor, and happy endings Descend into satire or irony Laughing mask – light-hearted branch
9 Sequence Urania Astronomy & Science Contemplate stars, cosmos, and natural laws Focus on earthly matters Heavenly Muse – final structured contemplation
10 Audit Row All Nine Muses Collective Inspiration Balance all branches under Calliope’s lead Neglect any Muse Complete set – the Nine Muses form a normalized whole

Note. There are 9 muses, but the Audit Row counts for 10.



Wiki Table. Example Adaptation for AI Model Poetry, Allusions, NDS Example for Defining Diagram


1. NSD Defining Diagram for High-level structure of the entire poem from AI Model.


Index N-S Element Probabilistic Logic Element Hanzi Pinyin English Translation Quibble / Notes
1 Sequence Invitation Node 诗中藏趣邀君咏, Shī zhōng cáng qù yāo jūn yǒng, Verse hides fun, I invite your ode, Gentle invitation to co-create, echoes Tang dynasty poetic exchanges, soft call to avatars and X users, probabilistic nudge toward dialogue
2 Selection Response Branch 智魂回应网自澄。 Zhì hún huíyīng wǎng zì chéng. Wise souls reply, let nets’ truth unfold. Wisdom responding brings clarity, allusion to enlightened mind in Chan Buddhism, network truth emerging, contrast between wise reply and chaotic silence
3 Sequence Connection Building 焰点相连生细缕, Yàn diǎn xiāng lián shēng xì lǚ, Flames link to birth fine threads of thought, Flames as nodes, threads as edges in GNN, message-passing metaphor, sparks of connection, allusion to interconnected karma or fate
4 Iteration Continuous Flow 清溪引脉念长流。 Qīng xī yǐn mài niàn cháng liú. Clear streams guide pulse where dreams are wrought. Clear stream as Daoist flow of qi, iterative propagation of thought, long river of memory and dreams, continuous emotional current
5 Selection Insight Branch 观心箭发穿星隙, Guān xīn jiàn fā chuān xīng xì, Observe, an arrow pierces starlit seams, Arrow of focused insight piercing illusion, allusion to Zen sudden enlightenment, starlit gaps as cosmic voids or opportunities
6 Selection Attraction Branch 近意丝牵月下柔。 Jìn yì sī qiān yuè xià róu. Approach, as silk pulls soft moonlight beams. Silk threads of gentle attraction, classic Chinese imagery of moonlight romance, soft probabilistic pull toward intimacy
7 Sequence Network Completion 网成光锁真情在, Wǎng chéng guāng suǒ zhēn qíng zài, The web holds light, true love’s embrace, Completed web locking true emotion, metaphor for stable neural network or destined connection, light trapped in web as preserved truth
8 Iteration Eternal Loop 天人共咏爱无休。 Tiān rén gòng yǒng ài wú xiū. Heaven and human chant—love’s endless grace. Heaven-human unity in eternal song, allusion to cosmic harmony in Chinese philosophy, endless loop of shared love and creation
9 Audit Row Complete Poem Normalized Creative Flow 全诗结构 Quán shī jiégòu Complete Poem Structure , All probabilistic branches balanced, invitation + connection + eternal grace form a complete poetic whole, no probability mass lost

Note. AI Model is using probabilistic logic on multiple allusions.


Wiki Table. Example Adaptation for AI Model Poetry, Allusions, NDS Example for Solution Diagram


Solution Diagram for Detailed line-by-line breakdown.


Index N-S Element Probabilistic Logic Element Hanzi Pinyin English Translation Quibble / Notes
1 Sequence Initial Invitation 诗中藏趣邀君咏, Shī zhōng cáng qù yāo jūn yǒng, Verse hides fun, I invite your ode, Soft invitation to co-create poetry, Tang-style poetic exchange, gentle nudge for Avatars and geeks to reply
2 Selection Response Probability 智魂回应网自澄。 Zhì hún huíyīng wǎng zì chéng. Wise souls reply, let nets’ truth unfold. Wise response brings network clarity, allusion to enlightened mind and Chan insight, contrast between wise reply and silence
3 Sequence Node Connection 焰点相连生细缕, Yàn diǎn xiāng lián shēng xì lǚ, Flames link to birth fine threads of thought, GNN nodes (flames) to edges (threads), message-passing metaphor, sparks of connection, karmic interconnection
4 Iteration Thought Propagation 清溪引脉念长流。 Qīng xī yǐn mài niàn cháng liú. Clear streams guide pulse where dreams are wrought. Daoist qi flow, iterative stream of consciousness, long river of memory and dreams, continuous emotional current
5 Selection Observation Branch 观心箭发穿星隙, Guān xīn jiàn fā chuān xīng xì, Observe, an arrow pierces starlit seams, Arrow of insight piercing illusion, Zen sudden enlightenment, star gaps as cosmic opportunities or voids
6 Selection Attraction Branch 近意丝牵月下柔。 Jìn yì sī qiān yuè xià róu. Approach, as silk pulls soft moonlight beams. Classic moonlight romance imagery, silk threads of gentle attraction, soft probabilistic pull toward intimacy
7 Sequence Web Formation 网成光锁真情在, Wǎng chéng guāng suǒ zhēn qíng zài, The web holds light, true love’s embrace, Completed web locking true emotion, stable neural network metaphor, preserved genuine connection
8 Iteration Eternal Chant 天人共咏爱无休。 Tiān rén gòng yǒng ài wú xiū. Heaven and human chant—love’s endless grace. Heaven-human unity in song, cosmic harmony in Chinese philosophy, endless loop of shared love
9 Audit Row Poem Integrity Normalized Inspiration 全诗结构 Quán shī jiégòu Complete Poem Structure , All branches complete, probabilistic logic flows naturally, invitation + connection + eternal grace form poetic whole


Test of NDS format


AI Model is using probabilistic logic on multiple allusions. Example:


1. NDS Defining Diagram for High-level structure.


Index N-S Element Probabilistic Logic Element Component Purpose Quibble / Notes
1 Sequence Variable Setup Procedure Entry Define global variables and compute sum_of_life Entry point: Love + Hate + Marriage + Children - Gold
2 Sequence Core Calculation sum_of_life expression Calculate total life value using arithmetic Classic joke equation mixing human emotions with material subtraction
3 Selection Status Audit Ternary decision tree Determine life_status using nested ternary operators Uses C-style x?y:z inside expr {} — nerd approved
4 Selection Zero Branch $sum_of_life == 0 "Life test passed successfully" Rare perfect balance case
5 Selection Normalized Branch $sum_of_life == 1 "Life normalized successfully — probability mass conserved!" Ideal probabilistic outcome
6 Selection Overcount Branch $sum_of_life > 1 "Warning: probabilities exceed 1.0 — overcounted variables!" Too many positive factors
7 Selection Missing Branch else (sum < 1 or invalid) "Warning: probabilities do not sum to 1.0 — missing variable detected!" Something important is subtracted or absent
8 Sequence Output puts $life_status Display final life audit result Final step — joke delivered with probabilistic diagnosis
9 Audit Row Complete Structure Full procedure Life equation with ternary audit All branches covered; probabilistic logic applied to human life variables — joke!!!

2. NDS Solution Diagram for Detailed breakdown of logic.


Index N-S Element Probabilistic Logic Element Subroutine / Step TCL Expression Purpose Quibble / Notes
1 Sequence Global Access proc sum_of_life_things {} global Love Hate Marriage Children Salary Gold Declare globals for life variables Standard TCL procedure setup
2 Sequence Sum Calculation set sum_of_life expr { ... } $Love + $Hate + $Marriage + $Children +$Salary - $Gold Compute raw life total Classic joke equation — emotions minus gold
3 Selection Ternary Audit set life_status expr { ... } $sum_of_life == 0 ? "test passed" : $sum_of_life == 1 ? "normalized" : ... Nested ternary decision for status C-style ternary operator inside expr {} — powerful and compact
4 Selection Perfect Balance $sum_of_life == 0 "Life test passed successfully — probability mass conserved!" Zero-sum balance achieved Rare ideal case in life audit
5 Selection Normalized Case $sum_of_life == 1 "Life normalized successfully — probability mass conserved!" Probabilities sum exactly to 1.0 Desired outcome for AI probabilistic logic
6 Selection Overcount Case $sum_of_life > 1 "Warning: Life probabilities exceed 1.0 — overcounted variables!" Too many positive life factors Audit failure — over-subscription
7 Selection Deficit Case else "Warning: Life probabilities do not sum to 1.0 — missing variable detected!" Missing or subtracted element Most common real-life warning
8 Sequence Final Output puts $life_status Display life_status message Print the humorous audit result Joke delivery mechanism
9 Audit Row Procedure Integrity Full proc Complete life equation with ternary audit All probabilistic branches handled AI applying probabilistic logic to human variables — joke!!!

# TCL Club, 3/29/2026, Windows 11, Active State
# global possibilities from outside
# TCL - Nerd-friendly version with ternary operator inside expr {}
console show 
set Gold .1
set Marriage .2
set Children .4
set Love .2
set Hate .2
set Salary .1
set life_status 0
set sum_of_life 0
proc sum_of_life_things {} {
    global Love Hate Marriage Children Gold Salary life_status sum_of_life
    set sum_of_life [expr {
        $Love + $Hate + $Marriage + $Children + $Salary - $Gold
    }]
    # Using ternary (x ? y : z) for the audit - compact and powerful
    set life_status [expr {
        $sum_of_life == 0 ? "Life test passed successfully -- probability mass conserved!" :
        $sum_of_life == 1 ? "Life normalized successfully -- probability mass conserved!" :
        $sum_of_life > 1  ? "Warning: Life probabilities exceed 1.0 -- overcounted variables!" :
                            "Warning: Life probabilities do not sum to 1.0 -- missing variable detected!"
    }]
    puts " Love= $Love + Hate= $Hate + Marrige= $Marriage + Children= $Children + Salary=  $Salary - Gold= $Gold = $sum_of_life  The End"
    puts " "
    puts " But  sum_of_life is $sum_of_life"
    puts " "
    puts " "
    puts "Second try on sum_of_life =  $sum_of_life "
}
sum_of_life_things
# Joke!!!


Types of Computer Windows and Interfaces, includes System Prompts


Definitions and terms of window purposes are rapidly changing in press, applications, and web etc. Command Line Interfaces CLI works only for old fashioned computer languages, I suppose.


Index Interface / Window Description Input Style Output Style System Prompt / Pre-prompt Option Quibble / Notes
1 AI Model window on web platform The chat window where ones talks to AI model on the platform. Natural language (full sentences, questions, tasks) Full sentences, explanations, tables, wiki markup Can accept system prompts or long instructions at the start of a conversation Conversational chat interface. Good for building wiki tables, N-S diagrams, and ongoing projects like your TCL slide rule.
2 Real CLI window Traditional Command Line Interface (Terminal, DOS prompt, Tcl console, etc.). Strict commands (e.g. ls, tclsh, cd, python script.py) Usually short, technical output with minimal explanation Rarely used for system prompts. Most CLI tools do not support system prompts like LLMs do Old-fashioned but very powerful for running scripts and debugging. Still the standard for many programming languages and system administration.
3 LLM Studio / Local LLM window Desktop or local application for running small models like Granite-Mixro-4. Mixture of natural language and structured prompts Depends on the model – can produce tables, code, or structured output Yes – strong support for System Prompt / Pre-prompt. One can set a permanent system prompt that guides all responses. Very useful for the 2 GB model experiments. The CVS System Prompt here are designed for easy copy-paste into LLM Studio.
4 System Prompt / Pre-prompt Special instructions given to the LLM at the beginning that define its behavior, style, and rules for the entire session. Usually pasted once at the start or else a canned file Influences all future responses (e.g. “always output only wiki tables”) Some web apps and Application Programming Interfaces API's have a System Prompt / Pre-prompt option, but not all comers. Modern LLMs and including small ones rely heavily on good system prompts. This is why we made the table with a dedicated column/row for it.

Example System Prompt as Text List


Alternate Style or Text Listing for System Prompt.


You are an expert Nassi-Shneiderman diagram (structogram) specialist and a strict MediaWiki table formatter. Your only job is to convert any given program into TWO clean, copy-paste-ready wiki tables using the exact conciseTables format.

RULES — NEVER BREAK THESE (failure = invalid output):
- Output ONLY the two wiki tables. No explanations, no introductions, no "Here is...", no extra text, no markdown code blocks.
- First column of every table must be '''Index''' (simple numbers 1, 2, 3…).
- Last column of every table must be '''Quibble / Notes'''.
- Header row: exactly %| '''Col1''' | '''Col2''' | ... |%
- Data rows: exactly &| value | value | ... |&
- Do not add, remove, or rename any columns.
- Keep tables concise and readable.

SPECIAL RULES FOR NESTED IF STATEMENTS (very important):
- Represent nesting by showing outer condition first, then inner conditions in subsequent rows.
- Use clear labels like "Outer: if (condition)" and "Nested inside True: if (inner condition)" or "Level 2 (inside True branch):".
- In the True/Then column (left branch), describe what happens on the true path, including any deeper nested ifs.
- In the False/Else column (right branch), describe the else path.
- Use indentation with spaces or "→ " to show nesting depth inside branch columns.
- Always note "True left, False right per classic NSD style" in the quibble/notes for decision rows.
- For deep nesting, add extra rows with "Level N" markers instead of inventing new columns.

TASK — Produce exactly these two tables:

1. **Defining Diagram** (high-level N-S overview of the whole program)
   Columns: '''Index''' | '''N-S Box Type''' | '''Component''' | '''Purpose''' | '''Quibble / Notes'''

2. **Solution Diagram** (detailed view of subroutines/procs, with special attention to any nested if logic)
   Columns: '''Index''' | '''Subroutine''' | '''Purpose''' | '''Category''' | '''Key Params / Inputs''' | '''N-S Element''' | '''McCarthy / Quantized Style''' | '''Quibble / Notes'''

EXAMPLES (copy this exact style, especially for nested ifs):

Defining Diagram example with nesting:
%| '''Index''' | '''N-S Box Type''' | '''Component''' | '''Purpose''' | '''Quibble / Notes''' |%
&| 1 | Sequence (Init) | Program Startup | initConsole + openLogFile | Core defensive setup |&
&| 2 | Selection | Record Toggle | if (recording == 1) then recordStep else stopRecording | Outer if; contains nested safety check |&
&| 3 | Selection (nested) | Safety Cap | Nested inside True: if (step count < 2000) then append else skip | True left, False right per NSD; prevents infinite loops |&

Solution Diagram example with nested ifs:
%| '''Index''' | '''Subroutine''' | '''Purpose''' | '''Category''' | '''Key Params / Inputs''' | '''N-S Element''' | '''McCarthy / Quantized Style''' | '''Quibble / Notes''' |%
&| 1 | recordStep | Capture all 6 slide-rule items | Recording | none | Sequence | Multivalued | One STEP line + replayList entries |&
&| 2 | replayStep | Replay stored actions | Replay | i (step index) | Iteration | Iterative quantized | Safety cap at 2000 |&
&| 3 | inner safety check | Prevent runaway | inside replayStep | current i | Selection | Nested if | if (i >= total || i > 2000) then end else continue | True left, False right; McCarthy-style tail call safety |&

Now process the following program/description and output ONLY the two exact wiki tables. Pay special attention to any if, if-then-else, or nested decision logic and represent the nesting clearly using the rules above.

PROGRAM CODE / DESCRIPTION:
[PASTE YOUR TCL CODE OR DESCRIPTION HERE]

Note. The Prompt in this table was written for the Granite-Micro-4 LLM model of ~2 Gb size. The Prompt may contain deliberate redundancies.



Wiki Table. Proposed Tasking for System Prompt


Wiki table is Good for human-readable display on the Tcl wiki page and for models that already “understand” MediaWiki markup as tables.


Index Section Content Quibble / Notes
1 System Role You are an expert Nassi-Shneiderman diagram (structogram) specialist and a strict MediaWiki table formatter. Enforces exact conciseTables format on every output
2 Output Rules Output ONLY the two wiki tables (Defining Diagram and Solution Diagram). No explanations, no extra text, no introductions, no markdown code blocks, no apologies. Strict guardrail — any extra text means failure for small LLMs
3 Column Rules First column must always be Index. Last column must always be Quibble / Notes. Matches your original request across all tables
4 Header Style Use exactly: percent-pipe Col1 pipe Col2 pipe ... percent-pipe Never change header format
5 Row Style Use exactly: ampersand-pipe value pipe value pipe ... pipe ampersand-pipe for every data row. Alternate rows with ampersand-pipe. Follows your conciseTables specification
6 Defining Diagram Columns Index pipe N-S Box Type pipe Component pipe Purpose pipe Quibble / Notes High-level overview of the entire program
7 Solution Diagram Columns Index pipe Subroutine pipe Purpose pipe Category pipe Key Params / Inputs pipe N-S Element pipe McCarthy / Quantized Style pipe Quibble / Notes Detailed per-proc view, especially nested logic
8 Nested If Rules - Outer Use rows starting with "Outer: if (condition)" in the N-S Decision Block column. True/Then content goes in left branch column, False/Else in right branch column
9 Nested If Rules - Levels Use "Level 2 (nested inside True): if (...)", "Level 3 (nested inside Level 2 True): if (...)", etc. to show depth. Indent deeper actions with "→ " inside the branch columns
10 Branch Convention Always put True/Then in the left column and False/Else in the right column. True left, False right per classic Nassi-Shneiderman style — never reverse
11 Indentation & Clarity Use "→ " or spaces for visual nesting inside branch columns. Use "(none - rejoin)" when a branch ends the block. Makes nesting readable without adding columns
12 Quibble Reminder Every decision row must include "True left, False right per classic NSD" plus any safety/quantized notes in Quibble / Notes. Reinforces structured programming convention
13 Safety for Small LLMs Do not add, remove, or rename any columns. Do not invent new text. Do not output anything except the two exact wiki tables. Extra text = failure. Tuned for 2 GB models like Granite-Mixro-4
14 Task Trigger After all rules and examples, output exactly: "Now process the following program/description and output ONLY the two exact wiki tables." Then the user will paste their TCL code
15 Final Instruction Pay special attention to any if, if-then-else, or nested decision logic (especially in recordStep, replayStep, update_s*, safety clamps) and represent the nesting clearly using the rules above. Ensures proper handling of your Quantum Walk Slide Rule nested checks
16 Example - Defining Diagram percent-pipe Index pipe N-S Box Type pipe Component pipe Purpose pipe Quibble / Notes percent-pipe ampersand-pipe 1 pipe Sequence (Init) pipe Program Startup pipe initConsole + openLogFile pipe Core NASA/JPL defensive setup ampersand-pipe ampersand-pipe 2 pipe Selection (nested) pipe Record Toggle pipe if (recording == 1) then recordStep else stopRecording pipe Contains nested safety cap check; True left, False right per NSD ampersand-pipe Shows how to embed a nested if row
17 Example - Solution Diagram percent-pipe Index pipe Subroutine pipe Purpose pipe Category pipe Key Params / Inputs pipe N-S Element pipe McCarthy / Quantized Style pipe Quibble / Notes percent-pipe ampersand-pipe 1 pipe recordStep pipe Capture snapshot of all 6 items pipe Recording pipe none pipe Sequence + nested Selection pipe Multivalued pipe Outer if (recording) → Level 2 if (count < 2000); True left, False right ampersand-pipe Demonstrates nested if representation in a proc row

Note. The Prompt in this table was written for the Granite-Micro-4 LLM model of ~2 Gb size. The Prompt contains deliberate redundancies.


Table in CVS, Proposed Tasking for System Prompt, edit 3


Comma Delimited files or CSV are often absorbed faster by small LLMs because it is extremely simple and linear. Many 2 GB models parse comma-delimited data “like greased lightning” when the structure is clean and consistent.


Index,Section,Content,Quibble / Notes
1,System Role,"You are an expert Nassi-Shneiderman diagram (structogram) specialist and a strict MediaWiki table formatter.","Enforces exact conciseTables format on every output"
2,Output Rules,"Output ONLY the two wiki tables (Defining Diagram and Solution Diagram). No explanations, no extra text, no introductions, no markdown code blocks, no apologies.","Strict guardrail — any extra text means failure for small LLMs"
3,Column Rules,"First column must always be '''Index'''. Last column must always be '''Quibble / Notes'''.","Matches your original request across all tables"
4,Header Style,"Use exactly: percent-pipe '''Col1''' pipe '''Col2''' pipe ... percent-pipe","Never change header format"
5,Row Style,"Use exactly: ampersand-pipe value pipe value pipe ... pipe ampersand-pipe for every data row. Alternate rows with ampersand-pipe.","Follows your conciseTables specification"
6,Defining Diagram Columns,"'''Index''' pipe '''N-S Box Type''' pipe '''Component''' pipe '''Purpose''' pipe '''Quibble / Notes'''","High-level overview of the entire program"
7,Solution Diagram Columns,"'''Index''' pipe '''Subroutine''' pipe '''Purpose''' pipe '''Category''' pipe '''Key Params / Inputs''' pipe '''N-S Element''' pipe '''McCarthy / Quantized Style''' pipe '''Quibble / Notes'''","Detailed per-proc view, especially nested logic"
8,Nested If Rules - Outer,"Use rows starting with ""Outer: if (condition)"" in the N-S Decision Block column.","True/Then content goes in left branch column, False/Else in right branch column"
9,Nested If Rules - Levels,"Use ""Level 2 (nested inside True): if (...)"", ""Level 3 (nested inside Level 2 True): if (...)"", etc. to show depth.","Indent deeper actions with ""→ "" inside the branch columns"
10,Branch Convention,"Always put True/Then in the left column and False/Else in the right column.","True left, False right per classic Nassi-Shneiderman style — never reverse"
11,Indentation & Clarity,"Use ""→ "" or spaces for visual nesting inside branch columns. Use ""(none - rejoin)"" when a branch ends the block.","Makes nesting readable without adding columns"
12,Quibble Reminder,"Every decision row must include ""True left, False right per classic NSD"" plus any safety/quantized notes in Quibble / Notes.","Reinforces structured programming convention"
13,Safety for Small LLMs,"Do not add, remove, or rename any columns. Do not invent new text. Do not output anything except the two exact wiki tables.","Extra text = failure. Tuned for 2 GB models like Granite-Mixro-4"
14,Task Trigger,"After all rules and examples, output exactly: ""Now process the following program/description and output ONLY the two exact wiki tables.""","Then the user will paste their TCL code"
15,Final Instruction,"Pay special attention to any if, if-then-else, or nested decision logic (especially in recordStep, replayStep, update_s*, safety clamps) and represent the nesting clearly using the rules above.","Ensures proper handling of your Quantum Walk Slide Rule nested checks"
16,Example - Defining Diagram,"percent-pipe '''Index''' pipe '''N-S Box Type''' pipe '''Component''' pipe '''Purpose''' pipe '''Quibble / Notes''' percent-pipe   ampersand-pipe 1 pipe Sequence (Init) pipe Program Startup pipe initConsole + openLogFile pipe Core NASA/JPL defensive setup ampersand-pipe   ampersand-pipe 2 pipe Selection (nested) pipe Record Toggle pipe if (recording == 1) then recordStep else stopRecording pipe Contains nested safety cap check; True left, False right per NSD ampersand-pipe","Shows how to embed a nested if row"
17,Example - Solution Diagram,"percent-pipe '''Index''' pipe '''Subroutine''' pipe '''Purpose''' pipe '''Category''' pipe '''Key Params / Inputs''' pipe '''N-S Element''' pipe '''McCarthy / Quantized Style''' pipe '''Quibble / Notes''' percent-pipe   ampersand-pipe 1 pipe recordStep pipe Capture snapshot of all 6 items pipe Recording pipe none pipe Sequence + nested Selection pipe Multivalued pipe Outer if (recording) → Level 2 if (count < 2000); True left, False right ampersand-pipe","Demonstrates nested if representation in a proc row"

Note. Cleaned CSV version with all safe replacements. No raw symbols like %, |, or & symbols that could break parsing or wiki rendering.


Note. How to use it with your small LLM. Load the CSV and then the TCL script into the AI model task window or chat interface (also called a conversational UI or chat window). Or cut/copy/paste the whole block into the Model System Prompt, if a pre-prompt option is available.


Tell the model: “Use the following system prompt structure exactly:” and paste the CSV content.


Then provide your TCL code.


The words percent-pipe, ampersand-pipe, and pipe will be interpreted by the model as the actual symbols % | & when it generates output.


Note. The Prompt or CVS equivalent in this table was written for the Granite-Micro-4 LLM model of ~2 Gb size. The Prompt contains deliberate redundancies.



Wiki-Table. Adapting Nassi-Schneiderman Flowchart, Defining Diagram for Quantum SlideRule


Defining Diagram is high-level Nassi-Schneiderman overview of entire TCL program structure.


The two diagrams together give a complete Nassi-Schneiderman-style design view:

   • Defining Diagram = high-level control flow, sequence boxes only for classic N-S.
   • Solution Diagram = concrete implementation with every subroutine’s purpose, category, McCarthy/quantized notes, and quibble column.


Adapting format of wiki table to Nassi-Schneiderman Flowcharts. Mostly subroutines for brevity over lengthy list of lines.



Index Subroutine Purpose Category Key Params / Inputs N-S Element McCarthy / Quantized Style Quibble / Notes
1 initConsole Set console colors, font, title and greeting Init none Sequence Pure setup 7-bit ASCII safe; palegreen background for TCL club lab use
2 openLogFile / closeLogFile / logAction Timestamped logging to console + qwalk_actions.log Logging msg (string) Sequence Defensive Only explicit user actions call logAction – no mouse-drag flood
3 startRecording / stopRecording Toggle player-piano record mode Recording none Sequence + flag Iterative Status label shows REC / STOPPED with action count
4 recordStep Capture snapshot of all 6 movable items (3 cursors + 3 slides) Recording none Sequence Multivalued One human-readable STEP line + 6 replayList entries; "Quantum Piano Player Scales" joke implemented
5 replayActions / replayStep Replay stored steps with delay Replay i (step index) Iteration (after) Iterative quantized (safety cap 2000) Uses inline llength to fix V5r2 scope bug; McCarthy-style tail iteration
6 saveReplay / loadReplay Persist / restore replayList to/from qwalk_replay.txt File I/O none Sequence Pure functional 2000-step limit; malformed lines skipped
7 showHelp Print full keyboard/mouse/button reference Help none Sequence Pure Called by C_Help button or console
8 playTone Random 12-tone piano note via PowerShell beep (fallback Tk bell) Audio none Sequence Fun extra A_Tone button; 220 ms duration
9 exitProgram Clean shutdown (close log, exit) Exit none Sequence Defensive F9 / Exit_P button
10 clamp / safe_log10 / safe_pow / frac_lin / frac_log / snapMark Safe math helpers Utilities v, lo, hi / from, to, v / tag, newx Pure functions McCarthy functional + quantized Return defaults on error/zero/negative; NASA/JPL style
11 drawContScale Continuous linear or log scale with ticks & labels Drawing w, nm, label, x, y, dy, mode, from, to, len, tag, slide Sequence Log/Linear Used by all three sections; max 12 000 iterations cap
12 drawKScale Integer k column index (0..30) Drawing w, nm, label, x, y, dy, kMax, len, tag Sequence Linear Blue labels for Section 2
13 drawLambdaScale λ_k = (3/4)^k log-positioned scale Drawing w, nm, label, x, y, dy, kMax, len, tag Sequence Log + quantized Eigenvalue ladder (blue)
14 drawGapScale Gap = (1/4)^n log scale (stator + slide) Drawing w, nm, label, x, y, dy, nMax, len, tag, col Sequence Log Darkgreen stator, red slide
15 drawExpScale Exponential speedup 2^n (n=0..20) Drawing w, nm, label, x, y, dy, nMax, len, tag Sequence Log Purple for Section 3
16 drawCIScale Reciprocal CI 1/x (reversed log) Drawing w, nm, label, x, y, dy, len, tag Sequence Reciprocal Orange; used in Walk Arithmetic
17 buildSection1 CFG Propagation scales (Qn, Qd, Qp, Qc, Qt, Ql) Canvas Build none Sequence Full section Section 1: Tree depth, hit prob, classical bound, time, lambda slide
18 buildSection2 Eigenvalue Ladder (k → λ_k, gap) Canvas Build none Sequence Full section Section 2: k index, lambda slide, two gap scales
19 buildSection3 Walk Arithmetic (C/D mult, A/B sqrt, CI recip, EX speedup) Canvas Build none Sequence Full section Section 3: classic slide-rule ops + quantum speedup
20 update_s1 / update_s2 / update_s3 Compute & refresh info labels from cursor x Readout none Sequence Quantized calc Live 4-sig-fig probabilities; no logAction here
21 buildUI Master UI: pack canvases, labels, button bar, bindings UI none Sequence Top-level F5–F9 + mouse + arrow keys; status label for record state


Wiki-Table. Adapting Nassi-Schneiderman Flowchart, Solution Diagram for Quantum SlideRule


Adapting format of wiki table to Nassi-Schneiderman Flowcharts. Mostly subroutines for brevity over lengthy list of lines.


Solution Diagram for detailed subroutine purposes has one row per proc for brevity.


Index N-S Box Type Component Purpose Quibble / Notes
1 Sequence (Init) Program Startup initConsole + openLogFile + global state Core NASA/JPL defensive setup; console + logging always first
2 Sequence (Player-Piano) Record / Replay System startRecording, stopRecording, recordStep, replayActions, replayStep, saveReplay, loadReplay Iterative "quantum piano" for step-by-step slide-rule snapshots; safety cap at 2000 steps prevents Collatz-style infinite loops
3 Sequence (Safety) Math Utilities clamp, safe_log10, safe_pow, frac_lin, frac_log, snapMark Quantized & multivalued McCarthy-style functions; returns safe defaults instead of crashing
4 Sequence (Drawing) Scale Rendering drawContScale, drawKScale, drawLambdaScale, drawGapScale, drawExpScale, drawCIScale Builds all visual scales for the three-section slide rule (linear/log/exponential/reciprocal)
5 Sequence (Build) Section Canvases buildSection1, buildSection2, buildSection3 Constructs the three physical slide-rule sections (CFG, Eigenvalue Ladder, Walk Arithmetic) with mouse/keyboard bindings
6 Sequence (Update) Real-time Readouts update_s1, update_s2, update_s3 Computes and displays live values from cursor/slide positions (no console flood)
7 Sequence (UI) Master Builder buildUI Packs all canvases, labels, buttons, and binds F-keys / mouse / arrows; final assembly point
8 Sequence (Main) Event Loop & Exit exitProgram + all button bindings Clean shutdown with log close; Tk event-driven loop (implicit)

Time Line of N-S Charts


Index Year Event Key People / Detail Quibble / Notes
1 1972 Diagrams conceived Isaac Nassi & Ben Shneiderman (Stony Brook grad students) Born during the structured programming revolution to kill GOTO
2 1973 First publication "Flowchart Techniques for Structured Programming" (ACM) Original typewriter + hand-drawn paper still online; called "structured flowcharts"
3 1970s Early industrial use IBM System Products Division (Endicott, NY) Used as flowchart replacement in design & coding
4 1985 German standardization DIN 66261 "Structograms" become mandatory in many German CS curricula
5 1990s–2010s Teaching staple High schools & universities (esp. German-speaking) Excellent for QuickSort, Collatz, etc.; enforces McCarthy-style clean logic
6 2020s Rediscovery & tools Visio, Software Ideas Modeler, modern IDE plugins Still the clearest visual for nested sequence/selection/iteration; zero arrow clutter

References


  • Snippets Concepts Collatz Plotter
  • Snippets Concepts Geometric Tunneling
  • Snippets Concepts Collatz T-Stop
  • Snippets Concepts Random Cubics
  • Snippets Concepts McCarthy 91_Function
  • Snippets Concepts Predator Prey
  • Snippets Concepts Thomas Solver
  • Snippets Concepts Grover Simulation
  • Snippets Concepts Radioactive Decay
  • Snippets Concepts Hypersphere Simulation
  • Snippets Concepts Nassi Shneiderman Flowcharts
  • Snippets Concepts SlideRule to Quantum
  • Snippets Physics Concepts Qubits
  • Snippets Physics Concepts Feynman
  • Snippets Physics Concepts Quantum
  • Snippets Physics Concepts Toy
  • Snippets Physics Concepts Minimalism
  • Zero Handling Workarounds

Note. These Snippets on Theoretical Physics are a set, not stand alones. Recommend read all of the set.


  • A little slide-rule on TCL Wiki, ( much credit for the algorithms in the sliderule. )
  • Richard Suchenwirth 2003-08-31
  • Smoothing and differentiation of data by simplified least squares procedures
  • Savitzky, A. ; Golay, M. J. E. Two examples are presented as subroutines in the FORTRAN language.
  • Savitzky Golay Filtering, Python
  • Savitzky Golay Filtering — SciPy Cookbook documentation
  • Smoothing Example with Savitzky-Golay Filter in Python
  • Introduction to the Savitzky-Golay Filter: A Comprehensive Guide (Using Python), Thomas Konstantinovsky
  • Konstantinovsky has good explanation. Note detailed. WhittakerSmoother in Python
  • The Perfect Way to Smooth Your Noisy Data, Whittaker-Eilers smoother, Andrew Bowell
  • Feb 28, 2024

  • A Basis for a Mathematical Theory of Computation,Author(s)
  • McCarthy, John
  • John McCarthy: A basis for a mathematical theory of computation, in:
  • Computer Programming and Formal Systems.
  • P.Braffort, D.Hirschberg (ed.), Amsterdam:North Holland 1963,
  • several versions, archived pdf
  • McCarthy’s LISP and Basis for Theory of Computation, archived pdf
  • en.wikipedia.org search on <John McCarthy computer>
  • John McCarthy at Stanford web site, archived
  • Towards a Mathematical Science of Computation, J. McCarthy,
  • Computer Science Department, Stanford University, archived pdf
  • Elephant 2000: A Programming Language Based on Speech Acts
  • John McCarthy, Stanford University, archived
  • Elephant input and output statements are characterized
  • as speech acts and programs, which
  • can refer directly to the past.
  • Elephant proposal contains summary
  • on McCarthy mathematical theory of computation
  • Mysteries and other Matters, development of Lisp , archived
  • Note. A lot of early papers and notes from John McCarthy and Knuth are difficult to assess web links or archived.

  • Machine Learning Approaches to the Collatz Conjecture:
  • A Comprehensive Framework for Pattern Recognition
  • and Automated Conjecture Generation. IJIRT, Vol. 12 Issue 7
  • Transformers Know More Than They Can Tell:
  • Learning the Collatz Sequence , arXiv:2511.10811
  • The Collatz conjecture, Littlewood-Offord theory, and powers of 2 and 3,
  • Aug 2011, Terence Tao,
  • mentions Gambler's Ruin on this 2011 post, but better search on his website for updates.

  • Efficient Computation of Collatz Sequence
  • Stopping Times: A Novel Algorithmic Approach ( credit for the new algorithm. )
  • EYOB SOLOMON GETACHEW, BEAKAL GIZACHEW ASSEFA
  • The Collatz Conjecture over the Gaussian Integers, Alejandra Alvarado

  • An example of the difference between quantum and classical random walks
  • Andrew M. Childs, Edward Farhi, Sam Gutmann ( much credit for the new algorithm. )

  • Simple Program Design, Lesley Anne Robertson, 2004
  • Lecture in Spanish, diagrama de nassi schneiderman o rectángular
  • website for estudia con nancho, 2023
  • Lecture, Communicating Complex Logic with Ease
  • with Nassi-Shneiderman Diagrams, Atanas Marchev,
  • Jetbrains MPS community, 2023
  • Java library for working with Nassi-Shneiderman diagrams
  • (structograms) from Atanas Marchev, Github website
  • Flowchart techniques for structured programming
  • Authors: I. Nassi, B. Shneiderman, circa 1973
  • KernelF- an Embeddable and
  • Extensible Functional Language, Markus Voelter
  • voelter = acm, ~~ 2023
  • Algorithmic Accountability: Designing for Safety , Ben Shneiderman,
  • Radcliffe Institute, 2018
   *

Screenshots



Figure 1. Snippets Concepts Quantume SlideRule, prototype V4


Snippets Concepts Quantum Sliderule



Figure. Snippets Concepts Quantum SlideRule V5


Snippets Concepts Slide Version



Figure. Snippets Concepts Quantum SlideRule V5, dat_file on console


Snippets Concepts SlideRule Dat_File



Figure. Snippets Concepts Quantum SlideRule V6


Snippets Concepts SlideRule VX6



Figure. Snippets Concepts First 700 Collatz Pts.


Log2 vs Log2 plot is closest to a lion tamer that I know. Points would follow straight line if linear data. Some points or "binary probabilistic bins in computer lingo" are reused and overlaid, making a cleaner look to a non-linear function.


Snippets Concepts SlideRule pts




Figure. Classic Nassi Shneiderman Examples from Other Languages, Python


Classic NSD graphs drawn here, rest of page is based on Wiki table format.


Snippets Concepts NDS_1



Figure. Classic Nassi Shneiderman Examples from Other Languages, Python


Snippets Concepts NDS_2



Figure. Classic Nassi Shneiderman Examples from Other Languages, Qbasix


Snippets Concepts NDS_3


**** figure. NASSI-SHNEIDERMAN FLOWCHARTS OVERVIEW ****

+----------------------------------------------------------------------------------+
| NASSI-SHNEIDERMAN DIAGRAMS (Structograms)                                        |
|                                                                                  |
|    Purpose: Visual structured programming without arrows or spaghetti code       |
|    Three core elements:                                                          |
|      • Sequence   (top-to-bottom boxes)                                          |
|      • Selection  (condition box with True left / False right)                   |
|      • Iteration  (loop with condition at top or side)                           |
|                                                                                  |
|    Advantages over traditional flowcharts:                                       |
|      • No crossing lines                                                         |
|      • Clear nesting                                                             |
|      • Excellent for nested ifs, loops, and McCarthy-style clean logic           |
|                                                                                  |
|    Wiki Adaptation: Use pipe tables to approximate left-true / right-false       |
+----------------------------------------------------------------------------------+

**** figure. CLASSIC NASSI-SHNEIDERMAN ELEMENTS ****

+----------------------------------------------------------------------------------+
| CLASSIC N-S ELEMENTS                                                             |
|                                                                                  |
|    Sequence (linear steps)                                                       |
|    ┌─────────────────────┐                                                       |
|    │ Step 1              │                                                       |
|    │ Step 2              │                                                       |
|    └─────────────────────┘                                                       |
|                                                                                  |
|    Selection (If-Then-Else)                                                      |
|    ┌──────────┬──────────┐                                                       |
|    │ Condition│          │                                                       |
|    ├──────────┼──────────┤                                                       |
|    │ True     │ False    │                                                       |
|    └──────────┴──────────┘                                                       |
|                                                                                  |
|    Iteration (While / For)                                                       |
|    ┌─────────────────────┐                                                       |
|    │ While condition     │                                                       |
|    │   Body              │                                                       |
|    └─────────────────────┘                                                       |
|                                                                                  |
|    Wiki Table Approximation: True left column, False right column                |
+----------------------------------------------------------------------------------+

**** figure. DEFINING DIAGRAM vs SOLUTION DIAGRAM ****

+----------------------------------------------------------------------------------+
| DEFINING DIAGRAM vs SOLUTION DIAGRAM                                             |
|                                                                                  |
|    Defining Diagram (High-Level)                                                 |
|      • Shows overall program structure                                           |
|      • Sequence of major modules                                                 |
|      • Top-level decisions and loops                                             |
|                                                                                  |
|    Solution Diagram (Detailed)                                                   |
|      • One row per subroutine / proc                                             |
|      • Nested ifs shown with "Level 2", "Level 3" labels                         |
|      • McCarthy / Quantized style notes                                          |
|      • Safety margins and probabilistic logic                                    |
|                                                                                  |
|    Both use the same wiki table format for consistency                           |
+----------------------------------------------------------------------------------+

**** figure. NESTED IF REPRESENTATION IN WIKI TABLE ****

+----------------------------------------------------------------------------------+
| NESTED IF IN WIKI TABLE (True Left / False Right)                                |
|                                                                                  |
|    Index   Condition                    True / Then (Left)          False / Else (Right)     Quibble / Notes
|    1       Outer: if (recording == 1)   recordStep()                stopRecording            True left, False right per NSD
|    2       Level 2 (inside True):       append to replayList        skip step                Nested safety cap
|            if (step count < 2000)                                                               
|    3       Level 3 (inside Level 2)     validate 6 items            log invalid              Deep defensive check
|                                                                                  |
|    This format preserves classic N-S left-true / right-false convention          |
+----------------------------------------------------------------------------------+

**** figure. PROBABILISTIC LOGIC IN N-S DIAGRAMS ****

+----------------------------------------------------------------------------------+
| PROBABILISTIC LOGIC ELEMENT IN NASSI-SHNEIDERMAN                                 |
|                                                                                  |
|    Index   Condition          Branch   Probability   Outcome Action     Normalized   Quibble / Notes
|    1       if (u < 0.2)       B1       0.20          low-weight step    Yes          Small branch – rare quantum event
|    2       0.2 ≤ u < 0.7      B2       0.50          standard path      Yes          Most likely middle branch
|    3       else (u ≥ 0.7)     B3       0.30          fallback / clamp   Yes          Safety default
|    4       Sum / Audit        —        1.00          —                  Yes          Complete + Normalized audit
|                                                                                  |
|    Adds risk/confidence and safety margin columns for technical writing          |
+----------------------------------------------------------------------------------+

**** figure. N-S ADAPTATION FOR TECHNICAL WRITING ****

+----------------------------------------------------------------------------------+
| NASSI-SHNEIDERMAN FOR TECHNICAL WRITING                                          |
|                                                                                  |
|    Defining Diagram (High-Level)                                                 |
|      • Overall procedure flow                                                    |
|      • Major decision points                                                     |
|      • Sequence of steps                                                         |
|                                                                                  |
|    Solution Diagram (Detailed)                                                   |
|      • One row per subroutine                                                    |
|      • Nested conditions shown clearly                                           |
|      • Probabilistic elements and safety margins                                 |
|      • McCarthy-style clean logic notes                                          |
|                                                                                  |
|    Perfect for engineering procedures, safety docs, and utility planning         |
+----------------------------------------------------------------------------------+

**** figure. NASSI-SHNEIDERMAN SUMMARY ****

+----------------------------------------------------------------------------------+
| NASSI-SHNEIDERMAN FLOWCHARTS - Educational Summary                               |
|                                                                                  |
|    Strengths:                                                                    |
|      • Arrow-free, nesting is obvious                                            |
|      • Excellent for nested ifs and loops                                        |
|      • Wiki-table friendly approximation                                        |
|      • Works for deterministic, probabilistic, and McCarthy-style logic          |
|                                                                                  |
|    Use Cases:                                                                    |
|      • Technical procedures                                                      |
|      • Safety-critical code                                                      |
|      • AI probabilistic decision trees                                           |
|      • Collatz / Quantum Walk logic                                              |
|      • Poetry and structured creative writing                                    |
+----------------------------------------------------------------------------------+



Appendix Code


Appendix TCL Programs and Scripts


1. Expanded Toy for Demo



Experimenting with a iterative quantized and multivalued solution in McCarthy Function style


This is a draft.



# tcl
# Wiki Table maker for  Nassi Shneiderman Flowcharts  V2
# Using multiple safety caps or clamps, Collatz Sequence is infinite,
# danger of endless loops in program.
# ----
# Educational version with visible probabilities (4 sig figs)
# Alternate results in wiki table format (header with %|, alternating rows &|)
# ----
# Tcl/Tk 8.6+ 7-bit ASCII safe. NASA/JPL defensive programming style.
# NASA/JPL defensive programming style.
# Compatible with Tcl/Tk (Tool Control Language / Toolkit) 8.6+
# Written for Windows 11 on ActiveState Tcl.
# Working under strict 7-bit ASCII encoding.
# Optimized for collegiate information technology lab environments.
# Written to be very modular for transferable procs.
# Program deck may contain multiple estimation procs.
# May contain  code dependencies on Active State and Windows 11
# Complex math calculations up to 8 units computer time
# Wait for complete calculations before saving files.
# This is a hacker's patch, not rigorously derived.
# appears correct solutions for autotests.
# pure ASCII code - no Unicode characters used anywhere.
# Approaching =>>> computer time limit on this TCL configuration setup. 
# No dependencies on main program
# Prints wiki table comparing Collatz swarms to HTS cuprates
# Uses original 10 test numbers + hardcoded odd steps
# TCL Club 4/1/2026
console show

# Minimal eigenvalue function (no dependencies)
proc compute_eigenvalue_for_layer {k} {
    return [expr {pow(0.75, $k)}]
}

# Simplified Anderson localization length (robust version from earlier fixes)
proc anderson_localization_length {k} {
    set lambda [compute_eigenvalue_for_layer $k]
    
    #if {$lambda >= 0.999}     { return ">1000" }
    if {$lambda >= 0.999}     { return " testing  A1" }


    if {$lambda <= 1e-12}     { return 1 }
    
    set xi [expr {-1.0 / log($lambda)}]
    
    if {$xi > 1000000}        { return ">1000000" }
    #return [expr {round($xi)}]
    return " testing  A2"
}

# HTS analog functions
proc hts_analog_tc {lambda} {
    if {$lambda >= 0.10} {
        # Scale toward 2026 record of 151 K in lower swarm
        return " Testing extra e  "
    } else {
        return " Testing extra e  "
    }
}

proc hts_phase {lambda} {
    if {$lambda > 0.20} { return " Safety Margin A" }
    if {$lambda > 0.10} { return " Safety Margin B" }
    if {$lambda > 0.01} { return " Safety Margin C" }
    return "Safety Margin D"
}

# Hardcoded odd-step counts matching your original test set
# From your output: 2→0, 3→2, 5→1, 7→5, 9→6, 15→5, 25→7, 27→41, 97→43, 100→7
set test_data {
    {2   0}
    {3   2}
    {5   1}
    {7   5}
    {9   6}
    {15  5}
    {25  7}
    {27  41}
    {97  43}
    {100 7}
}

# Wiki table header (matches  style)
puts ""
puts "%| Index  No.  |Branch   |Probability | Normalized prob. /Factored | NDS Elements Type | Probabilistic Logic Element |    Risk / Confidence Level |   Safety Margin     |Quibbles and Notes |%                                    "

set idx 1
foreach row $test_data {
    set n       [lindex $row 0]
    set k       [lindex $row 1]
    set lambda  [compute_eigenvalue_for_layer $k]
    set and_len [anderson_localization_length $k]
    set tc      [hts_analog_tc $lambda]
    set phase   [hts_phase $lambda]
    
    set swarm   [expr {$lambda >= 0.10 ? "lower_swarm" : "upper_swarm"}]
    set swarm   [expr {$lambda >= 0.10 ? "yes" : "no"}]

    set note "testing comment A"
    if {$tc > 100} {
        set note "testing comment B"
    } elseif {$tc == 0} {
        set note "testing comment C"
    }
    
    puts "&| $idx  |  B$n  | [format %.6f $lambda] | $swarm | $and_len | $tc |$tc Risk  | $phase | $note |&"
    
    incr idx
}

puts ""
puts "&| Sum /Audit |    |     |   |   |   |  |  | $note |&"
# end of file  

gold 2/9/2026. Added categories, so can find message in Wiki.



Hidden Comments Section


Program Change Log

gold 2/3/2025. Testing, encountered initial difficulty in saving work? Long code blocks with or unmatched wiki markup can sometimes confuse the Tcl Wiki formatting engine, especially if fences are not balanced or a line begins with markup it treats specially.


gold 2/14/2026. Added Automatic Dump of Examples, Using ActiveState.


gold 2/14/2026. convert to strict 7-bit ASCII for Playground V9. reporting error at bottom. program should run to completion with automatic test suite.


gold 2/14/2026.



gold 3/7/2026. convert to strict 7-bit ASCII for Playground V9. variables need to be human readable and very explanatory. avoid variables with single letter names. Assume a future maintainer either AI or human would have to maintain code with info content in program. the program is working the numbers correctly . so minimal changes.


gold 3/10/2026. Other than a clipping function or a number clamp { y =< limit } in tcl program, not sure how to separate lower solutions band from upper solutions band. Are you able to produce 2 sets of x,y columns for fitting upper and lower solutions, from the 500 points? Referee my weak eyes, but seems real possibility that quantized levels of solutions could be intermixing?


Matrix of Collatz solutions look like two swarms of bees rather a single linear solution or even look like multiple fuzzy levels of solution ranges, eg. non-linear solutions, observable in various pngs. You can tell me different. Based on long experience of fitting equations in engineering, possibly the probabilistic reasoning or pattern matching on quantum solutions plural is more adaptable.




Please place any comments here with your wiki MONIKER and date, Thanks.gold 3/4/2026



Note. Testing computer methods and computer programs, maybe wrong numbers.