Cost per mille¶
An advertising price or efficiency metric equal to campaign or placement cost divided by delivered or estimated impressions in thousands.
Core Idea¶
CPM supports cross-channel comparison but depends on whether impressions are served, viewable, audible, human, unique or estimated and excludes conversion value, frequency, reach quality, fraud, brand safety and downstream effects unless added separately. A defined media cost is matched to a counted impression population over one campaign boundary, divided by impressions and multiplied by one thousand, with reconciliation for billing, invalid traffic and measurement source. The abstraction is therefore identified by a declared carrier, a transformation or constraint over that carrier, and an invariant that tells an analyst whether the named structure is genuinely present.
Scope of Application¶
Cost per mille belongs to advertising and media measurement and is useful where the analyst can specify the typed advertising and media measurement carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets, then evaluate the advertiser and campaign, medium and placement, cost components and currency, period, impression definition and counting system, thousand-unit scaling, served and viewable status, invalid traffic, estimated audiences, frequency and duplication, attribution, uncertainty, and comparability limits are explicit.
Clarity¶
The abstraction clarifies a crowded vocabulary by making the advertiser and campaign, medium and placement, cost components and currency, period, impression definition and counting system, thousand-unit scaling, served and viewable status, invalid traffic, estimated audiences, frequency and duplication, attribution, uncertainty, and comparability limits are explicit the center of the account. A claim should name the carrier, the governing operation or relation, the applicable assumptions, and the recognition test.
Manages Complexity¶
Without the abstraction, an analyst must reason directly over many local details: the carrier roles, admissibility assumptions, competing conventions, derived invariants, boundary cases, and proof or validation obligations specific to Cost per mille. Cost per mille compresses them into the roles in the structural signature. That compression permits comparison across instances without erasing the variables that determine validity. It also exposes which details may be varied safely and which are constitutive.
Abstract Reasoning¶
- Identify the carrier. State what the elements, states, objects, or observations are: the typed advertising and media measurement carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets. Reject examples whose alleged carrier belongs to a different problem. 2.
Knowledge Transfer¶
Knowledge transfers strongly among subfields of advertising and media measurement because they reuse the typed advertising and media measurement carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets, A defined media cost is matched to a counted impression population over one campaign boundary, divided by impressions and multiplied by one thousand, with reconciliation for billing, invalid traffic and measurement source., and type the carrier, state every parameter and convention in the definition, test that the advertiser and campaign, medium and placement, cost components and currency, period, impression definition and counting system, thousand-unit scaling, served and viewable status, invalid traffic, estimated audiences, frequency and duplication, attribution, uncertainty, and comparability limits are explicit, compare the nearest accepted identity, and report counterexamples, uncertainty, and limiting cases.
Relationships to Other Abstractions¶
Current abstraction Cost per mille Domain-specific
Parents (1) — more general patterns this builds on
-
Cost per mille is a kind of Ratio Prime
The proposed strict upward parent is
prime:ratio.
Hierarchy path (1) — routes to 1 parentless root
- Cost per mille → Ratio → Comparison → Self Checking
Neighborhood in Abstraction Space¶
Cost per mille sits in a moderately populated region (51st percentile for distinctiveness): it has near-neighbors but no dense thicket of look-alikes.
Family — Market Power, Pricing & Procurement (25 abstractions)
Nearest neighbors
- Media market — 0.92
- Transfer (propaganda) — 0.88
- Mass media — 0.88
- Third-party technique — 0.88
- Demerit good — 0.88
Computed from structural-signature embeddings · 2026-09-08