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In graph Frontier

Analysis of algorithms

In computer science, the analysis of algorithms is the process of finding the computational complexity of algorithms—the amount of time, storage, or other resources needed to execute them.

At a glance

Type
scale
Mental models 1
Role in the graph
Connector

Key signals

Cross-disciplinary reach
Disciplines
2
  • Computer Science
  • Algorithms
Evidence & development

Dependencies

What this concept builds on and what it makes possible — derived from the atlas’s dependency, causal and structural relations, not from every related edge.

System context

Analysis of algorithmsis aComputational complexity theoryEstablished

Open Computational complexity theory →

analysis of algorithms is a kind of computational complexity theory.

Mechanism: Analysis of algorithms is applied complexity theory: it measures how an algorithm's time and memory grow as the input gets bigger.

Sources:
Big O notationis part ofAnalysis of algorithmsEstablished

Open Big O notation →

big O notation is part of analysis of algorithms.

Mechanism: Big O notation describes how an algorithm's running time grows with input size, ignoring constant details.

Sources:

Structural role & consequence

Interpreted from the current atlas graph — what the connections mean, not just how many there are.

  • Currently dark in the atlas: no key date stored · 2 of 2 of its relations lack claim-level evidence.

    atlas representation · Describes the current Thinking OS representation, not the state of the world.

  • Structural neighbourhood: 2 → 10 → 34 concepts reachable within 3 hops.

    structural · Structural reach — being reachable is not the same as being understood.

  • All 2 of its relationships stay within its own discipline — a field-specific concept in the current atlas.

    structural · Structural graph analysis — not a claim of importance, causation or history.

0%

cross-field
2 within-field, 0 cross-field

0 of 2 relations carry evidence · concept has a verified source

Strengths & constraints

Constraints

  • Evidence coverage currently thin in the atlas — few of its relationships carry claim-level evidence. atlas representation
  • No dated history stored — the atlas records no key date for this concept. atlas representation

Conditions

  • Read structurally — most of its relationships carry no external evidence yet, so claims here are graph-derived. structural

Seen through each discipline

How this concept sits in each of its fields — derived from its real connections in the graph, not asserted.

Concepts that look related but are not yet connected here — candidates for a connection to reason about, not established links.

This idea also appears in…

The same structure shows up in other disciplines. These are real recurrences drawn from the graph — a starting point for asking “what carries over, and what changes?”

Scale31 disciplines · 46 concepts

Concepts

  • ScaleMathematicsPhysicsGeography

    shares a mental model

  • Surface-area-to-volume ratioBiologyMathematicsArchitecture

    shares a mental model

  • SymmetryMathematicsPhysicsVisual Arts

    shares a mental model

  • HierarchySystems ScienceBiologyData Structures

    shares a mental model

  • AtomPhysicsChemistryAtomic Physics

    shares a mental model

  • DecibelAcousticsPhysicsAudio Engineering

    shares a mental model

Mental models at work here

The scientific picture
  • Connects 2 other ideas across 2 disciplines.
  • Most of its connections are of the “Kind & structure” kind.
  • It exercises 1 reusable thinking pattern.

Derived from the graph’s real structure — observations, not a score.

Sources