Parabolic SAR¶

A recursive technical-analysis indicator that places a trailing stop-and-reverse level behind a price trend and accelerates it toward the trend’s extreme point.

Version: v1 · 2026-09-08 · History
Domain-specific #: 5964
Origin domain: financial technical analysis
Subdomain: financial technical analysis

Core Idea¶

Parabolic SAR updates a level using an acceleration factor times the gap to the trend extreme, reverses trend state when price crosses the level, and caps values against recent highs or lows under implementation conventions. The extreme point records trend progress, repeated new extremes increase the acceleration factor, and crossover resets direction and parameters, creating a nonlinear trailing path. 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¶

Parabolic SAR belongs to financial technical analysis and is useful where the analyst can specify the typed financial technical analysis carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets, then evaluate market and bar data, trend initialization, extreme point, acceleration schedule and cap, reversal and gap rules, missing data, price adjustment, and evaluation protocol are explicit. The scope is broad within that domain but bounded by the need for market and bar data, trend initialization, extreme point, acceleration schedule and cap, reversal and gap rules, missing data, price adjustment, and evaluation protocol are explicit. Descriptive indicator identity only; it is not investment, trading, or risk-management advice and performance must be evaluated independently.

Clarity¶

The abstraction clarifies a crowded vocabulary by making market and bar data, trend initialization, extreme point, acceleration schedule and cap, reversal and gap rules, missing data, price adjustment, and evaluation protocol 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. A bare label is insufficient because the name Parabolic SAR can be used for a formal identity, an implementation, or a neighboring result unless carrier and convention are stated.

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 Parabolic SAR. Parabolic SAR 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 financial technical analysis carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets. Reject examples whose alleged carrier belongs to a different problem. 2. Lock the constitutive rule. Express market and bar data, trend initialization, extreme point, acceleration schedule and cap, reversal and gap rules, missing data, price adjustment, and evaluation protocol are explicit independently of one notation or implementation.

Knowledge Transfer¶

Knowledge transfers strongly among subfields of financial technical analysis because they reuse the typed financial technical analysis carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets, The extreme point records trend progress, repeated new extremes increase the acceleration factor, and crossover resets direction and parameters, creating a nonlinear trailing path., and type the carrier, state every parameter and convention in the definition, test that market and bar data, trend initialization, extreme point, acceleration schedule and cap, reversal and gap rules, missing data, price adjustment, and evaluation protocol are explicit, compare the nearest accepted identity, and report counterexamples, uncertainty, and limiting cases.

Relationships to Other Abstractions¶

Current abstraction Parabolic SAR Domain-specific

Parents (1) — more general patterns this builds on

Parabolic SAR is a kind of Feedback Prime

The proposed strict upward parent is prime:feedback.

Hierarchy path (1) — routes to 1 parentless root

Parabolic SAR → Feedback

Neighborhood in Abstraction Space¶

Parabolic SAR sits in a moderately populated region (53^rd percentile for distinctiveness): it has near-neighbors but no dense thicket of look-alikes.

Family — Financial Risk & Market Indicators (29 abstractions)

Nearest neighbors

Computed from structural-signature embeddings · 2026-09-08