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Understanding the 4-Layer Mathematical Framework

Understanding the 4-Layer Mathematical Framework

The 4-Layer Mathematical Framework is the structure the Atlas Math Engine uses to evaluate a symbol. It looks at each symbol through four independent mathematical layers — Price Structure, Rate of Change, Risk Regime, and Market Participation — and checks whether all four describe the same condition at the same time. When they agree, the engine flags a mathematical potential. It does not issue a recommendation, a prediction, or a signal to act. It is an educational and informational framework only.

What "four independent layers" means

Each layer is a separate mathematical view of the same symbol. Because the four are independent, each can agree or disagree with the others. A symbol where only one or two layers line up is treated very differently from one where all four point to the same condition. The framework's core idea is simple: a condition is more mathematically notable when several unrelated measures arrive at it together, rather than when any single measure does so alone.

The specific formulas, weights, and calibration constants inside each layer remain private. What follows describes what each layer broadly concerns, at the conceptual level — enough to understand the framework without exposing how it is computed.

The four layers

Price Structure. Concerns the configuration of price itself — how price is currently organized relative to its own recent behavior. This layer asks whether the underlying price arrangement is consistent with the condition being evaluated.

Rate of Change. Concerns how quickly conditions are shifting — the velocity of movement rather than its direction alone. A condition supported by rate of change is one where the pace of change, not just the level, agrees.

Risk Regime. Concerns the broader risk environment the symbol sits inside. The same symbol can read differently depending on the prevailing macro regime, so this layer places the symbol in its current environmental context.

Market Participation. Concerns the breadth and engagement behind a move — whether participation supports the condition rather than a narrow or thin move masquerading as a broad one.

Why all four must align

The framework treats agreement across independent layers as the meaningful event. Any one layer can produce a reading on its own; the engine is specifically interested in the moments when Price Structure, Rate of Change, Risk Regime, and Market Participation describe the same condition simultaneously. That simultaneous alignment is what the engine flags — and even then, it is flagged as a mathematical potential for the reader to interpret, never as an instruction.

What the Confirmation Score represents

The Confirmation Score expresses how strongly the four layers agree, as a single number out of a fixed maximum (for example, 14 of 21). A higher score means more of the framework's internal conditions are aligned; a lower score means fewer are. The score is a way to read the degree of alignment at a glance. It is a descriptive measure of the math's current state — not a probability, a price target, or a measure of expected return.

What the framework does not do

The 4-Layer Framework does not predict prices, does not generate buy or sell signals, and does not tell anyone what to do. It identifies and describes mathematical conditions for educational study. Whether any condition is meaningful, and what to make of it, is left entirely to the reader. The framework provides context and observation; it does not provide advice.

Frequently asked questions

What are the four layers?
Price Structure, Rate of Change, Risk Regime, and Market Participation. Each is an independent mathematical view of the symbol, and the engine looks for moments when all four describe the same condition.

Is a high Confirmation Score a buy signal?
No. The Confirmation Score describes how strongly the four layers currently agree. It is an educational measure of mathematical alignment, not a signal, recommendation, or prediction.

Does the framework reveal its formulas?
No. The framework is explained at the conceptual level. The specific formulas, weights, and calibration constants inside each layer remain private.

Is this investment advice?
No. Everything published by Given Analytics, including this framework, is educational and informational only. It is not investment advice.


Related reading: How Atlas Works · What Is a Confirmation Score? · What Is "Stagflation Mild"?

Disclosure

Every mathematical condition shown is for educational purposes only and is not a recommendation and does not constitute investment advice. Given Analytics is not a registered investment adviser. All content is for educational purposes only. Full disclaimer: givenanalytics.com/disclaimer

Condition Lifecycle Example Layout — Illustrative
Illustrative example of how a mathematical condition moves through its lifecycle — ARMED, ACTIVE, CLOSED — under our framework's rules. Not live data, not trade recommendations or advice.
ARMED · conditions forming ACTIVE · all four layers aligned CLOSED · alignment closed
XLEACTIVE
TRDMOMVOLVLM
4/4 layers aligned · condition currently active · educational example
KOARMED
TRDMOMVOLVLM
3/4 layers aligned · conditions forming, not yet active · educational example
IWMARMED
TRDMOMVOLVLM
2/4 layers aligned · early in formation · educational example
TLTCLOSED
TRDMOMVOLVLM
Alignment closed · condition no longer active · educational example
This illustrates the lifecycle the engine tracks for each symbol: a condition becomes ARMED when the framework confirms a trend, ACTIVE when the symbol meets its pre-defined entry condition within that trend, and CLOSED when the trend condition ends. Members can study what the model showed at each point in time. This is an illustrative example, not live data, and not a buy/sell signal, rating, or recommendation. The live dashboard reflects current conditions across 407 symbols and changes daily.
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How It Works
1
Atlas Monitors 407 Symbols
Every trading day. Hundreds of symbols across sectors and categories. The engine never sleeps, never forms opinions.
2
Four Layers Evaluated
Price Structure, Rate of Change, Risk Regime, Market Participation. Each is independent. All four must agree.
3
Potential Condition Identified
When all four agree simultaneously — a mathematical potential is flagged. Educational only. You decide.
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