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THE CONSCIOUSNESS ATLAS
Read. Experiment. Follow the evidence.

ConsciousnessLearn · Explore · Joseph Anady

Marketing performance-change vector

Collect seven changes into a signal vector. Click-through rate, conversion rate, revenue per click and engagement enter positively; cost per click, cost per acquisition and bounce rate enter with negative signs so reductions can count as beneficial. Positive…

Cross-project equation postersource graphic; not an execution result
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Start with the symbols, follow the operations, and check what the result means.

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poster-eq-e49017b41e785evector definition
dt=[ΔCTR,−ΔCPC,−ΔCPA,ΔCR,ΔRPC,−ΔBounceRate,ΔEngagement]d_t = [ ΔCTR, −ΔCPC, −ΔCPA, ΔCR, ΔRPC, −ΔBounceRate, ΔEngagement ]

Read the equation

Collect seven changes into a signal vector. Click-through rate, conversion rate, revenue per click and engagement enter positively; cost per click, cost per acquisition and bounce rate enter with negative signs so reductions can count as beneficial.

Positive engagement, click-through, conversion and revenue changes increase the input, while cost and bounce changes have negative signs.

Its role in the build

The Megamind Equation Atlas

Terms & definitions

TermMeaning in this source
P

Performance matrix.

d_t

Performance delta signal.

CTR

Clicks / impressions.

CPC

Cost / clicks.

CPA

Cost / acquisitions.

CR

Conversions / visitors.

RPC

Revenue / clicks.

BounceRate

Bounces / sessions.

How it works

  1. Read d_t as the quantity being defined or updated by this relation.

  2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

  3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

  • Metrics have different units and noise levels. Deltas require a stated reference interval and normalization before matrix multiplication gives a meaningful combined pressure.

  • CPM is listed as a measured performance signal but is absent from this displayed seven-component delta vector.

Original context

Read the surrounding source passage
The Megamind Equation Atlas: Collect seven changes into a signal vector. Click-through rate, conversion rate, revenue per click and engagement enter positively; cost per click, cost per acquisition and bounce rate enter with negative signs so reductions can count as beneficial.

The Marketing Intelligence Equation: Positive engagement, click-through, conversion and revenue changes increase the input, while cost and bounce changes have negative signs.
Exact original notation
d_t = [ ΔCTR, −ΔCPC, −ΔCPA, ΔCR, ΔRPC, −ΔBounceRate, ΔEngagement ]

Related builds

Sources & provenance

01
Megamind equation atlas infographic.png
Panel 11: delta-vector line; verified transcript lines 234–240 · Jul 10, 2026
d_t = [ ΔCTR, −ΔCPC, −ΔCPA, ΔCR, ΔRPC, −ΔBounceRate, ΔEngagement ]
02
Marketing intelligence equation infographic.png
Lower-left PERFORMANCE VECTOR panel; verified transcript lines 24–30 · Jul 5, 2026
d_t = [ ΔCTR, −ΔCPC, −ΔCPA, ΔCR, ΔRPC, −ΔBounceRate, ΔEngagement ]

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