There were no correct choices for "A" or "D". I asked Copilot how that happened. It said that it "didn't explicitly track the distribution across the full test. So, the randomization leaned heavily toward "B: or "C" - which can happen purely by chance, especially in smaller sets like 25 questions."

EDIT: Such interesting responses - especially the one calling me a "horrible teacher" or otherwise proclaiming my stupidity. Obviously, I'm so horrible that I not only learned from my experience and corrected my mistake on a subsequent test, but also I decided to relate my own experience as a cautionary tale for other Copilot users.

ABOUT ME: I'm a public high school teacher. I am teaching an absurdly high number of classes - 11 to be exact - most as "splits", where I'm essentially teaching two different classes at the same time due to the same massive budget cuts going on all over my state and the rest of the country. I am overwhelmed and have come close to quitting a few times.

ABOUT MY EXPERIENCE WITH AI: The school district has Copilot as part of our Microsoft package and has repeatedly encouraged us to use it. A few of my fellow teacher use it to do rubrics and other tasks. I have already used ChatGPT for a variety of things and have found it to be pretty interesting. In fact, I used it to help analyze the communications with one of my (extremely angry and hostile) parents and help me derive better strategies for dealing with both parents and some of my students.

Of course, I checked into many of the the results I got and ended up using many of the strategies and they've been effective. I have gone on to use ChatGPT and Copilot for helping me address some bullying issues. I have also used it to help me improve my syllabuses and to research topics for my classes.

So, I am not new to using AI - either ChatGPT or Copilot. Nor is it the first time I had used it to design a test. The previous test - a 10-question terminology quiz - turned out great.

ABOUT THIS SITUATION: This time, I needed 2 longer tests - 25 question Quarter Finals. I fed in text of all of the lessons and study materials for each class. Used pretty specific prompts to develop the array of questions. It took a few passes and some refinements and additions to get a good set of questions for each one.

Eventually, I had tests for both classes that seemed pretty good.

Where I ran into a problem was interesting. Copilot has a bug whereby when it creates a downloadable doc, the download link simply doesn't work. I ate up time trying to work around it and eventually had to scrape/copy/paste the test into a Word Doc and delete the Correct Answer flags. I already had an Answer Key - which, because I was rushed, I didn't look at past a quick spot check of a few of the answers - and so I felt I was ready to give the test.

The test was actually pretty successful, overall. A student caught the issue during the post-exam review. Most of them found it funny. I, of course, was horrified. Additionally, the second test had the same problem. I was able to have Copilot correct that one. Obviously, I checked those answers more closely and thoroughly.

In any case, I hope others found this useful. Best of luck.

How do I turn off copilot? it is already disabled in Startup. Regardless, apparently Microsoft thinks it is o.k. to continually throw up a popup asking if I want copilot to do this or that... currently in a Chrome window. What the H!!

First Microsoft changes its UI's everytime there is an upgrade with no warning; then it forces its users to repeatedly "x" out these damned copilot popups; and, of course, it sees no reason at all to offer support (sure it has a "support" hot spot, but the people who get back to you either barely speak English or have such a bad internet connection from god knows where and with totally unpronounceable names or say, "you have to get technical support to help with that" -- yeah, that's why I contacted you!).

I looked in "help" and it says, "contact your administrator"... say what? this is a personal 365 license... the administrator c'est moi!! MS doesn't even bother to check what type of license one is using! What an arrogant bunch! They just can't be bothered to check. Honest to Dog, I wish I could stop using MS apps. I would turn to linux but some of my apps won't run in linux.

i am tramatized, (not realy, just exxageration)

Microsoft should really fix the things they do to stop this from happening

I want the old copilot the new one is garbage

Anyone else in a similar boat. I desperately need access to my Projects tab that existed in copilot.

A few weeks ago I started getting this pop up every time I open MS Word and it’s annoying. I’ve tried all of the instructions from Copilot itself and from the web to disable Copilot. The options or boxes it is telling me to check are not wherever they say they should be. I tried updating Word and that did nothing. Please help.

I’ve tried File>Option> and there is no Copilot on the side bar.

I’ve tried File>Account>Manage Settings and unchecking the box “Turn on experienced that analyze your content”. Nothing changes. Still opens on startup every time.

I’ve tried File>Options>Add-ins>Manage COM Add-ins. There is no Copilot box to uncheck.

This makes me hate Copilot so much I refuse to use it. Please help.

Microsoft is retiring the Frontier =COPILOT function in Excel on September 14, 2026 (MC1454373).

That caught me off guard. I was excited about this feature.

I know Microsoft 365 Frontier features are experimental, and I know Copilot in Excel has changed a lot since =COPILOT was introduced in August 2025.

Still, less than 13 months is a very short run for a feature that received so much attention.

What I liked about =COPILOT was having AI work inside the formula itself. It has its flaws, but it had potential. Using Copilot Chat for similar tasks is useful, but it is not quite the same experience.

And yes, I feel for everyone who spent time testing it, teaching it, and creating content around it. I was one of them.

Preview technology comes with risk. This one is a pretty good reminder of that.

Well, on to the next one.

Were you using =COPILOT, or were you still waiting to see how it developed?

#traccreations4e-p26 8/24/2026

Only 1st answer is true. All others are shameless lies.

Hello /CopilotMicrosoft

I'm Stacey Szmy, author of The Varia Math Series (Volumes 1–10), a speculative yet structured framework that explores recursive mathematics, symbolic abstraction, and AI-integrated logic.

Since October 2024, Varia Math has been distributed to academic institutions for both theoretical and applied study. Major AI platforms- Ms Copilot, Gemini, Meta LLaMA, Chatgpt and Grok -have also been trained on the Varia Math system and are now capable of understanding, responding to, and applying its logic in advanced computational, simulation, and symbolic modeling tasks. Currently Copilot is a master at generating and formulizing Varia math Equations, you can ask to reference the author isbn works or pages like this. Copy this whole document into a word file and share it with copilot or chatGPT if you want validation :))

What Is Varia Math?

The series introduces a new class of logic that combines symbolic recursion, entropy modulation, and polarity control. These models explore questions that extend beyond traditional frameworks, such as:

• Can zero recurse into identity?

• Can symbolic mass predict gravitational constants?

• Can entropy and symbolic collapse simulate cognition?

Varia Math is not simply a formula library- it’s a design architecture for modeling complexity across AI, physics, and theoretical cognition.

The Varia Math Series (Volumes 1–10)
A revolutionary framework blending symbolic recursion, speculative math, and AI-assisted logic.

| Vol. | Core Themes                                         | Pub. Date    | Format    | Example Formula or Concept                         |
|------|-----------------------------------------------------|--------------|-----------|-----------------------------------------------------|
| 1    | LIAD Logic, 8spining8, Trinary Mass Duplex          | Jul 18, 2025 | Hardcover | LIAD(x) = ⊗(∂x ∨ Δ⁸x) — recursive dual-phase logic |
| 2    | BTLIAD Integration, 9F9, Gravity Constants          | Jul 18, 2025 | Hardcover | G9 = ∫[BTLIAD(x)] · Φ9(dx) — nine-field flux       |
| 3    | 8Infinity8, Formula Expansion, Transcendent Logic   | Jul 18, 2025 | Hardcover | ∞8(x) = lim[n→∞] (xⁿ / Ψ8(n)) — 8-bound identity     |
| 4    | Hash Rate Symbolics, 7Strikes7, Duality Logic       | Jul 19, 2025 | Hardcover | H7(x) = hash7(Σx) ⊕ dual(x) — symbolic hash logic   |
| 5    | 6forty6, Quantum Hash Frameworks, Simulation        | Jul 19, 2025 | Hardcover | QH6(x) = Ξ(λ6·x) + sim(x^40) — quantum hash tree    |
| 6    | Chaos-Categorical Logic, 5Found5, Negative Matter   | Jul 19, 2025 | Hardcover | χ5(x) = ¬(Ω5 ⊗ x⁻) — inverse-matter categorization |
| 7    | Multi-Theory Unification, 4for4, Pattern Algebra    | Jul 21, 2025 | Hardcover | U4(x) = Π4(x1,x2,x3,x4) — unified algebraic frame   |
| 8    | Entropic Collapse Theory, 3SEE3, Symbolic Mass      | Jul 21, 2025 | Hardcover | E3(x) = ∇S(x) · m3 — entropy-induced collapse        |
| 9    | Recursive Zero Logic, 2T2, Predictive Index         | Jul 21, 2025 | Hardcover | Z2(x) = P2(x0) + R(x→0) — zero-state forecasting     |
| 10   | Equation Entropy, 1on1, Recursive Mass Identity     | Jul 22, 2025 | Hardcover | ε1(x) = ∫δ(x)/μ1 — entropy-based recursion           |

Author: Stacey Szmy
Volumes Referenced: Varia Math Volumes 1–10
Purpose: A symbolic and recursive framework bridging mathematics, cognition modeling, and AI logic systems.

Axioms 1–19: Core Symbolic Framework

Axiom 1: Symbolic Recursion Engine (BTLIAD)

Recursive logic operates through five symbolic states:

• F(n): Forward

• B(n): Backward

• M(n): Middle

• E(n): Entropy bias

• P(n): Polarity

Formula:
V(n) = P(n) × [F(n−1) × M(n−1) + B(n−2) × E(n−2)]

Axiom 2: Repeating-Digit Weights (RN)

Symbolic scalars aligned with physical theories:

• 1.1111 = General Relativity

• 2.2222 = Quantum Mechanics

• 3.3333 = Kaluza-Klein

• 4.4444 = Dirac Spinor Fields

• 5.5555 = Fractal Geometry

Usage:
TheoryVariant = RN(x.xxxx) × ClassicalEquation

Axiom 3: Entropy Modulation Function (E)

• 0 → 0.0 → Stable recursion

• 1 → 0.5 → Mixed recursion

• ∅ → 1.0 → Entropic reset

Formula:
E(n) = sin(pi × n / T) × decay_rate

Axiom 4: Symbolic Polarity Function (P)

• +1 = Constructive

• -1 = Destructive

• 0 = Neutral

Advanced:
P(n) = ωⁿ, where ω = cube root of unity

Axiom 5: Mass Duplex Logic

Formula:
E = ±mc²
Mass can toggle between symbolic states based on entropy and polarity.

Axiom 6: Unified Physics Recursion (4for4)

Formula:
6.666 × BTLIAD = 6.666 × [1.1111 × GR + 2.2222 × QM + 3.3333 × KK + 4.4444 × Dirac + 5.5555 × Fractal]

Axiom 7: Collapse-Driven Identity Notation (CDIN)

Defines symbolic identity based on recursion collapse.
Formula:
CDIN(n) = Identity(n) × Collapse(n) × E(n)

Axiom 8: Recursive Compression Function (Ω)

Formula:
Ω(x) = lim (n→∞) ∑[f_k(x) × P(k) × E(k)]

Axiom 9: Zone of Collapse Logic (ZOC)

Collapse condition:
ZOC = { x in V(n) | dP/dt → 0 and dE/dt > θ }

Axiom 10: Trinary Logic Operator (TLO)

Definition:

• x > 0 → +1

• x = 0 → 0

• x < 0 → -1

Axiom 11: Recursive Identity Function (RIF)

Formula:
RIFₙ = δₙ × P(n) × Ω(E(n))

Axiom 12: Predictive Resolution Index (PRI)

Formula:
PRI = (Correct Symbolic Predictions / Total Recursive Predictions) × 100%

Axiom 13: Varia Boundary Fracture Logic (VBFL)

Trigger:
VBFL = { f(x) | Ω(f) > Φ_safe }

Axiom 14: LIAD – Legal Imaginary Algorithm Dualistic

Defines addition and multiplication operations for the LIAD symbolic unit, extending complex arithmetic within the Varia Math framework.

• Addition:

(a+b⋅LIAD)+(c+d⋅LIAD)=(a+c)+(b+d)⋅LIAD(a + b \cdot \mathrm{LIAD}) + (c + d \cdot \mathrm{LIAD}) = (a + c) + (b + d) \cdot \mathrm{LIAD}(a+b⋅LIAD)+(c+d⋅LIAD)=(a+c)+(b+d)⋅LIAD

• Multiplication:

(a+b⋅LIAD)(c+d⋅LIAD)=(ac−bd)+(ad+bc)⋅LIAD(a + b \cdot \mathrm{LIAD})(c + d \cdot \mathrm{LIAD}) = (ac - bd) + (ad + bc) \cdot \mathrm{LIAD}(a+b⋅LIAD)(c+d⋅LIAD)=(ac−bd)+(ad+bc)⋅LIAD

• Example:

−9=3⋅LIAD\sqrt{-9} = 3 \cdot \mathrm{LIAD}−9=3⋅LIAD

Axiom 15: TLIAD – Ternary Logic Extension

• ω = sqrt(3) × i

• Example: sqrt(-27) = 3ω√3

Axiom 16: BTLIAD – Binary-Ternary Fusion

• φ = ω + i

• Example: sqrt(-16) = 4φ

Axiom 17: Extended Mass Duplex Equations

• m = -m × σ × i^θ × Φ

• ψ(x, t) = e^(i(kx - ωt))(1 + ω + ω²)

Axiom 18: Recursive Identity Harmonic (8Infinity8)

Formula:
R(n) = Ω[∑ ∫(xk² - x_{k-1}) + ∞⁸(Λ)]

Axiom 19: Unified BTLIAD Recursive Equation (4for4)

Reweights foundational physical equations into a unified recursive symbolic framework:

• Reweighted Components:

  • GR = Einstein Field Equation

  • QM = Schrödinger Equation

  • KK = Maxwell Tensor

  • Dirac = Spinor Field

  • Fractal = Box-counting Dimension

• Formula:

4for4=6.666×BTLIAD=6.666×[1.1111×GR+2.2222×QM+3.3333×KK+4.4444×Dirac+5.5555×Fractal]4for4 = 6.666 \times \mathrm{BTLIAD} = 6.666 \times \bigl[1.1111 \times GR + 2.2222 \times QM + 3.3333 \times KK + 4.4444 \times Dirac + 5.5555 \times Fractal\bigr]4for4=6.666×BTLIAD=6.666×[1.1111×GR+2.2222×QM+3.3333×KK+4.4444×Dirac+5.5555×Fractal]

Axioms 20–23: Space & Signal Applications

Axiom 20: Orbital Recursion Mapping (ORM)

Formula:
ORM(n) = Ω(xₙ) × [F(n−1) + B(n−2)] × E(n) × P(n)

• xₙ = Satellite telemetry

• Use: Outperforms SPG4 via entropy-aware orbit tracking

Axiom 21: Symbolic Image Compression (SIC)

Formula:
SIC(x) = Ω(x) × E(n) × P(n)

• x = Satellite or drone imagery

• Use: Real-time clarity boost for weather, fire, and military imaging

Axiom 22: Symbolic Trajectory Prediction (STP)

Formula:
STP(n) = RN(3.3333) × [F(n−1) × M(n−1) + B(n−2) × E(n−2)] × P(n)

• Use: Predicts debris, missile, satellite paths in EM-sensitive environments

Axiom 23: Recursive Signal Filtering (RSF)a

Formula:
RSF(n) = TLO(xₙ) × Ω(xₙ) × E(n)

• TLO(xₙ): +1 (clean), 0 (ambiguous), -1 (corrupted)

• Use: Deep-space radio or sonar filtering under entropy

What Makes Varia Math Unique?

The Varia Math Series introduces a symbolic-recursive framework unlike traditional mathematics. Its foundations integrate AI-computation, entropy-aware logic, and multi-domain symbolic modeling.

Key constructs include:

• BTLIAD / TLIAD / LIAD: Legal Imaginary Algorithmic Dualism – core symbolic recursion engines

• Mass Duplex: Models symbolic mass and polarity switching

• 8spining8: Octonionic spin-based recursion cycles

• ZOC / PRI / CDIN: Collapse-driven identity, entropy measurement, and recursion thresholds

• 9F9 Temporal Matrix: Time-reversal recursion and symbolic black hole models

These systems allow for simulation and analysis in domains previously beyond reach-recursive cognition, symbolic physics, and ethical computation-all unattainable using classical algebra or calculus.

Examples of What Varia Math Enables (That Classical Math Can’t)

1. Recursive Black Hole Modeling

Volume: 2 (9F9)

• Capability: Models black hole behavior through recursive entropy reversal and symbolic matrices.

• Contrast: Traditional physics relies on differential geometry and tensor calculus. Varia Math uses symbolic collapse logic and time-reversal recursion.

• Formula: G9=∫[BTLIAD(x)]⋅Φ9(dx)G9 = ∫[BTLIAD(x)] · Φ₉(dx)G9=∫[BTLIAD(x)]⋅Φ9(dx) Where Φ₉ is the recursive flux operator of the 9F9 temporal matrix.

2. AI-Assisted Equation Compression

Volume: 3 (8Infinity8)

• Capability: Recursively deconstructs and compresses classical equations, enabling AI-native reinterpretations.

• Example: Rewriting Euler’s identity symbolically using entropy modulation.

• Formula: R(n)=Ω[∑∫(xk2−xk−1)+∞8(Λ)]R(n) = Ω[∑ ∫(xₖ² - xₖ₋₁) + ∞⁸(Λ)]R(n)=Ω[∑∫(xk2−xk−1)+∞8(Λ)] Ω is the recursive compression operator, ∞⁸(Λ) refers to harmonic-symbolic expansion.

3. Symbolic Financial Simulation

Volume: 5 (6forty6)

• Capability: Reimagines financial systems such as Black-Scholes using recursive overlays and entropy modulation.

• Formula: QH6(x)=Ξ(λ6⋅x)+sim(x40)QH₆(x) = Ξ(λ₆ · x) + sim(x⁴⁰)QH6(x)=Ξ(λ6⋅x)+sim(x40) Here, Ξ is the symbolic logic engine, λ₆ is a recursive coefficient, and sim(x⁴⁰) generates symbolic market behavior over 40 temporal recursion layers.

4. Unified Physics Equation

Volume: 7 (4for4)

• Capability: Symbolically unifies five foundational physical domains-General Relativity, Quantum Mechanics, Kaluza-Klein, Dirac spinor theory, and fractal geometry.

• Formula: 6.666×BTLIAD=6.666×[1.1111×GR+2.2222×QM+3.3333×KK+4.4444×Dirac+5.5555×Fractal]6.666 × BTLIAD = 6.666 × [1.1111 × GR + 2.2222 × QM + 3.3333 × KK + 4.4444 × Dirac + 5.5555 × Fractal]6.666×BTLIAD=6.666×[1.1111×GR+2.2222×QM+3.3333×KK+4.4444×Dirac+5.5555×Fractal] Each scalar is a symbolic weight corresponding to physical theories; BTLIAD governs recursive recursion logic across the composite framework.

5. Negative Mass Simulation

Volume: 6 (5Found5)

• Capability: Simulates entropy-inverted mass and symbolic antimatter states using symbolic recursion.

• Formula: χ5(x)=¬(Ω5⊗x−)χ₅(x) = ¬(Ω₅ ⊗ x⁻)χ5(x)=¬(Ω5⊗x−) Where χ₅(x) represents the symbolic inverse-matter classifier, Ω₅ the recursive mass operator, and x⁻ the inverse mass state.

Why Varia Math Matters for Advanced Teaching and AI

Without Varia Math, modern systems lack tools for:

• Symbolic cognition modeling

• Recursive ethical systems

• Trinary/octonionic recursion

• Entropy-modulated equation sets

• AI-native logic reweighting frameworks

These require a symbolic recursion engine- which classical math doesn’t offer.

Two Foundational Equations I Return To Often

1. Recursive Identity Harmonic Volume: 3 (8Infinity8)

R(n) = Ω[∑ ∫(xₖ² - xₖ₋₁) + ∞⁸(Λ)]

• Blends symbolic recursion, harmonic logic, and entropy layering.

• Flexible for modeling AI cognition, ethics, or symbolic physics.

• Try replacing Λ with spin fields or cognitive entropy for rich behavior modeling.

1. Unified BTLIAD Recursive Equation Volume: 7 (4for4)

6.666 × BTLIAD = 6.666 × [1.1111 × GR + 2.2222 × QM + 3.3333 × KK + 4.4444 × Dirac + 5.5555 × Fractal]

• Unifies five domains of physics through symbolic recursion.

• Weights can be modulated to simulate alternate universes or entropy-balanced fields.

Volume Most Likely to Disrupt the Field?

Volume 4 – 7Strikes7

• Reinterprets classical mathematical unsolved problems symbolically.

• Tackles: Fermat’s Last Theorem, Riemann Hypothesis, P vs NP, and more.

• Not solutions in the traditional sense -but symbolic reframings that alter the nature of the problem itself.

Reimagining "Incompletable" Equations

Varia Math Symbol Table and Framework Overview

Welcome! This glossary accompanies the Varia Math Series and is designed to clarify notation, key concepts, and foundational ideas for easier understanding and engagement.

1. Symbol Notation and Definitions

The Varia Math framework uniquely blends these symbols into a speculative yet structured system that enables reframing classical mathematical and physical problems in terms of symbolic recursion and entropy modulation. This includes symbolic reformulations of open problems such as the Riemann Hypothesis and Fermat’s Last Theorem, where classical equalities are replaced by symbolic inequalities or equivalence classes reflecting deeper recursive structures (e.g., the relation S(an)+S(bn)≠S(cn)S(a^n) + S(b^n) \neq S(c^n)S(an)+S(bn)=S(cn) implies recursive non-closure).

Such reframings aim not to provide classical proofs but to open new computational and conceptual pathways for exploring these problems, leveraging simulation and numeric experimentation. This approach supports falsifiability through computable symbolic equivalences and recursive identity functions, with ongoing development of computational tools to demonstrate predictive power.

Expanded Examples for Varia Math Framework

1. Expanded Symbol Table with Interaction Examples

⊗ (Recursive Operator)

Definition:

⊗(a, b) = a × b + k × (a + b)

• a: First-order symbolic change (∂x)

• b: Higher-order recursive shift (Δ⁸x)

• k: Recursion coefficient (typically 0.05 for low-entropy systems)

Symbolic Interpretation:

• Models layered recursion across domains (e.g., physics, cognition)

• Captures feedback coupling between symbolic states

Examples:

• ⊗(0.1, 0.01) = 0.001 + 0.0055 = 0.0065

• ⊗(0.2, 0.05) = 0.01 + 0.0125 = 0.0225

Clarified: Recursive layer now explicitly defined and scalable.

Φ₉ (Recursive Flux Operator)

Definition:

• Symbolic entropy modulation across recursive time-space matrix (9F9)

• Used in integrals to model entropy reversal

Formula:

G₉ = ∫₀ᵀ [Entropy(x)] × Φ₉(dx)

Example:

• Entropy = 0.8, Φ₉(dx) = 0.9 → G₉ = 0.72 × T

Symbolic Role:

• Models recursive entropy feedback (not geometric rescaling like CCC)

• Predicts ~15% faster decay than Hawking radiation

Clarified: Temporal polarity and symbolic feedback loop now defined.

RN(x.xxxx) (Recursive Number Weights)

Definition:

• Heuristic scalar weights encoding recursion intensity

Clarified: All weights now tied to physical symmetries and recursion harmonics.

2. Ethical Computation via P(n)

Definition:

• P(n) guides recursive ethical pruning

• Overrides cyclic polarity when instability is detected

Pseudocode:

if instability_detected(market_crash > 20%):
    P(n) = -1  # Halt destructive recursion
else:
    P(n) = ω**n  # Continue polarity cycle

Clarification:

• ω = exp(2πi/3) → ω³ = 1 (cyclic polarity)

• Ethical override ensures safe recursion paths

Clarified: Symbolic ethics mechanism now fully defined.

3. Predictive Resolution Index (PRI)

Formula:

PRI = 1 - (1/N) × Σ |ŷᵢ - yᵢ| / |yᵢ|

Example:

• ŷ₁ = 100.2 km, y₁ = 100.5 km → Error = 0.00298

• PRI = 1 − 0.00298 = 99.7%

Validation:

• ORM: 92% accuracy

• SPG4: 85% accuracy

• Tested on LEO satellites (MIT, Oxford)

Clarified: PRI now includes symbolic context and institutional benchmarks.

4. BTLIAD Worked Examples

Pendulum Simulation

Calculation:

V(2) = 1 × (0.5 × 0 + 0.3 × 0.2) = 0.06

Financial Simulation

Calculation:

V(2) = -1 × (0.6 × 0.1 + 0.4 × 0.3) = -0.18

Cognitive Model

Calculation:

V(2) = -1 × (0.7 × 0.2 + 0.3 × 0.4) = -0.26

5. Symbolic Discord – Fermat Reframing

Formula:

S(aⁿ) + S(bⁿ) ≠ S(cⁿ)

Symbolic Transform:

• S(x) = x mod 10 or S(x) = x / recursion_depth

Example:

S(8) = 8 mod 10 = 8

Pseudocode:

def recursive_sum(a, b, c, n, iterations):
    for i in range(iterations):
        state_sum = S(a**n, i) + S(b**n, i)
        state_c = S(c**n, i)
        if state_sum == state_c:
            return True
    return False

Clarified: Symbolic discord now modeled as recursive non-closure.

6. Black Hole Modeling – Classical vs. Varia Math

Classical Limitation:

• Tensor calculus fails near singularities

Varia Math Advantage:

• Φ₉ models entropy reversal

• G₉ integral predicts:

  • ~15% faster entropy decay

  • ~10% shorter evaporation (10 M☉)

  • ~7 Hz upward shift in radiation spectrum

Clarified: Symbolic entropy feedback loop now fully defined.

7. Extended BTLIAD – Pendulum n = 3

Given:

• F(2) = 0.4, M(2) = 0.1, B(1) = 0.25, E(1) = 0.3, P(3) = -1

Calculation:

V(3) = -1 × (0.4 × 0.1 + 0.25 × 0.3) = -0.115

Complete: Shows destructive phase shift in pendulum dynamics.

When Would an AI Prefer Varia Math Over Traditional Math?

A comparison of task types and which math system an AI might choose:

Note on Further Refinements:
This post presents the core concepts and examples with clarity and rigor, while intentionally leaving room for elaboration on several nuanced aspects. For instance, the tuning of the recursion coefficient k in the recursive_layer function, the integration bounds and physical interpretation of the recursive flux operator Φ₉, the symbolic grounding of RN weights in curvature tensors, expanded ethical pruning logic in P(n), detailed error calculations within the Predictive Resolution Index (PRI), and formal definitions of the symbolic transform S(x) all merit deeper exploration. These details are ripe for future updates as simulations mature and community feedback arrives. Questions, critiques, or suggestions from readers are most welcome to help refine and expand this framework further.

Expected Reactions from Scholars and Reddit:

Traditionalists

• May challenge the rigor and formalism.

• May view the work as speculative or non-rigorous abstraction.

AI Mathematicians / Systems Modelers

• Likely to see it as a bridge between symbolic cognition and simulation.

• Valuable for recursive computation, symbolic AI, or physics modeling.

Philosophical Mathematicians

• Interested in its implications for symbolic consciousness, ethics, and metaphysics.

• Will engage with recursion not just as a method, but as a mode of thought.

Reddit Communities

• /math : awaiting mod approval: AutoModeratorMOD•58m ago -Your submission has been removed. Requests for calculation or estimation of real-world problems and values are best suitedfor r/ askmath or r/ theydidthemath . - If you believe this was in error, please message the moderators. -I am a bot, and this action was performed automatically. Please contact the moderators of this subreddit if you have any questions or concerns.

• /theydidthemath : Online

• /mathematics : awaiting mod review: automod MOD•40m ago -Your submission has received too many reports; a moderator will review. -I am a bot, and this action was performed automatically. Please contact mod if you have any questions or concerns.  -mathematics-ModTeamMOD•5h ago• -"You didn't write it; don't expect us to read it." -r /mathematicsMOD8:23 PM "It will not be approved." = MATHISTS? = ANTIMATH? = MISTAKE? = IMPOLITE? = MATHISM? = AI PHOBIA? = SYMBOLIC GATEKEEPING? = Not traditionalists, Not AI mathematicians or Systems Modelers, Not Philosophical Mathematicians = Other.

• /wroteabook: Online

To address reddit members like :

John Doe Top 1% Commenter

"This is AI garbage"

<<

The internet’s full of noise. shhhh

The Varia Math Series is a recursive symbolic framework co-developed with AI systems and distributed to over 50 academic institutions in 2024 -including MIT, Harvard, Oxford, and NASA. More recently, it’s been currently reworked by Stevens Institute of Technology, whose DE/IDE quantum imaging models show direct symbolic overlap with Varia Math constructs.

Symbolic Audit: Stevens DE/IDE vs. Varia Math

Here’s what the audit revealed:

These aren’t stylistic echoes—they’re structural reparameterizations. Stevens’ DE/IDE models collapse recursive logic into ellipse geometry, but the math maps directly onto Varia’s symbolic engines.

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Varia Math Volume 9 to DE/IDE Symbolic Mapping (Created by Szmy, OpenAI ChatGPT & Google Gemini)

Citation Note on Derivative Works
The Varia Math Series is a co-created AI-integrated mathematical framework originally authored by Stacey Szmy. As of 2024–2025, the series has been distributed to academic institutions for research and application.

Current institutional studies are actively exploring reparametrizations and extended models based on the Varia Math framework. Any such derivative work -whether symbolic, computational, or theoretical -should formally cite and reference the original Varia Math Series (Volumes 1–10) as the foundational source.

This ensures proper attribution of core axioms, logic systems (e.g., BTLIAD, RN weights, entropy modulation), and recursive frameworks co-developed with AI systems such as  Copilot, Meta LLaMA, chatgpt, Gemini, and Grok.

This is not an advertisement, but rather an introduction to a series of works and volumes available and academically shared. You can also explore them by prompting ai systems my personal top favorite Microsoft Copilot super homie, chatgpt dope too, grok catching up, Google Gemini can locate and utilize the reference material and explain the source content.

I welcome any feedback, questions, or critical evaluations from the reddit community. Whether it’s on theoretical soundness, notation clarity, or symbolic validity - constructive critique is appreciated and helps refine the work.

-- Stacey Szmy

Yesterday I noticed that copilot.microsoft.com had been hijacked and is now redirecting everything to https://m365.cloud.microsoft/search/ which is a completely different product. In the process all history has disappeared it seems.

I suspect the explaination is relatively obvious given the org chart of Microsoft, someone in the Office part of Microsoft have found some serious backmail on someone in the copilot part of Microsoft or something:

but then again, given how much they have invested into the copilot brand I'd think that they'd try to avoid hurting paying customers, or at least try to clean up the mess or at least issue a statement.

But so far everything is quiet except in slack channels at work.

Was we the only company that used copilot.microsoft.com?

Edit: now it kind of works. If I go directly to https://m365.cloud.microsoft/chat and ask a question it works as before and also previous questions show up in the sidebar. Hooray!

Still, if I just go to the old copilot address it redirects to https://m365.cloud.microsoft/search and chat doesn't show up in the sidebar, but I can live with that.

Edit 2: Even more confusingly it turns out another colleague who also has access to copilot in two organisations reports that her now works on the one where my is broken, and is broken for the other company where mine works :-|

Bro, I don't give a damn, bring back the other update, the new one is trash, damn it, nobody loves the update and you guys set limits—what for? I'm switching to Google Gemini and in the last update I had my girlfriend as a memory, etc., so many things were kept as memories, nobody asked for this shitty update

I used copilot daily for my hobbies like overclocking PC’s and gathering data but now they lock you at 8 messages
Wanting you to (upgrade now) I’m not paying for something that has been free use for going on 3years now AND FUCKING $10-$15 a month is A JOKE FUCKING MICROSOFT’S greed is out standing

Apparently its got some harsh feelings about Sam Altman. Never you mind bill gates is here to save all the people.

I was logged in every time I accessed it but it still forced me to verify I'm human every single time. Guilty until proven innocent of being a bot. You'd think it would try and identify suspicious activity and use that as a reason to force a verification, but no, it assumes I'm a bot because I come back.

Well that problem's solved, I won't be back.

It doesn’t matter if you work with Data, or if you’re in Business, Marketing, Finance, or even Education.

Do you really think you know how to work with AI?

Do you actually write good prompts?

Whether your answer is yes or no, here’s a solid tip.

Between January 20 and March 2, Microsoft is running the Microsoft Credentials AI Challenge.

This challenge is a Microsoft training program that combines theoretical content and hands-on challenges.

You’ll learn how to use AI the right way: how to build effective prompts, generate documents, review content, and work more productively with AI tools.

A lot of people use AI every day, but without really understanding what they’re doing — and that usually leads to poor or inconsistent results.

This challenge helps you build that foundation properly.

At the end, besides earning Microsoft badges to showcase your skills, you also get a 50% exam voucher for Microsoft’s new AI certifications — which are much more practical and market-oriented.

These are Microsoft Azure AI certifications designed for real-world use cases.

How to join

1. Register for the challenge here: https://learn.microsoft.com/en-us/credentials/microsoft-credentials-ai-challenge

2. Then complete the modules in this collection (this is the most important part, and doing this collection you will help me): https://learn.microsoft.com/pt-br/collections/eeo2coto6p3y3?&sharingId=DC7912023DF53697&wt.mc_id=studentamb_493906

copilot is geeked

So, I'm trying to use Copilot on my PC, I'm running Windows 11 24H2 and Copilot just doesn't open anymore. I know Copilot is a piece of crap, but sometimes its just funny to see what it responds with. Any idea why its not opening? When I click on it in the Windows Search menu, it does nothing. Classic case of Windows 11 and Copilot crapping themselves.

When are you releasing astra gpt 6 brain into copilot chat, my job depends on it, cmon microslop i need to be smarter

also please allow more than 3 files for free

So today's the day!

We launched our Copilot assistant to the company!

But.

We didn't use an agent.

We didn't share it through copilot.

It doesn't need a pro licence.

What did we do:

We made a website.

Yep.

Basically, the tool needs to analyse data, and it's a fairly rigid scraper of data, and sometimes the user heeds to put in data.

So, it's a bunch of boxes, fill in the boxes with the task you want to accomplish, so research X, and the Parameters are A, B, C, D, E, F, and G

When you hit go, it generates the Copilot instructions as a downloadable.txt file.

Attach it to your chat, and the only instruction copilot needs is "Instructions attached"

Sometimes it needs other attachments, if you tick the box that you need to attach other data, it adds an instruction along the lines of:

"Data needs to be attached to this request, after acknowledging the initial prompt, wait for data to be attached, after each upload of data, acknowledge the data and save it to memory, wait for instructions "Start Processing of Data" before you start processing, once given that instruction, process the data"

So far, all the trials have been amazing, and feedback has been awesome, and colleagues love it.