Thinking·OS

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Reinforcing loop causes Exponential growth. Activate to inspect this relation.Epidemic spread influences Exponential growth. Activate to inspect this relation.Population growth applies to Exponential growth. Activate to inspect this relation.Decay is analogous to Exponential growth. Activate to inspect this relation.Interest is a Exponential growth. Activate to inspect this relation.Interest influences Opportunity cost. Activate to inspect this relation.Exponentiation is part of Exponential function. Activate to inspect this relation.Exponential function depends on Exponentiation. Activate to inspect this relation.Square root is analogous to Exponentiation. Activate to inspect this relation.Logarithm is analogous to Exponentiation. Activate to inspect this relation.Exponential function models Exponential growth. Activate to inspect this relation.Compound interest is a Exponential growth. Activate to inspect this relation.Bacterial growth curve is part of Exponential growth. Activate to inspect this relation.Logistic growth is commonly confused with Exponential growth. Activate to inspect this relation.Exponential functionExponential growthExponentiationInterestReinforcing loopEpidemic spreadPopulation growthDecayBacterial growth curveCompound interestLogistic growthLogarithmSquare rootOpportunity cost
Relationship types
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  • Focused concept
  • Connected concept
  • Arrow points from cause / source to effect / target
  • A line with no arrow is a two-way relationship
  • Node colour marks the concept’s primary discipline
14 concepts14 relationships20 disciplines6 relation families

Exponential function

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At a glance

In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative everywhere equal to its value.

Disciplines
Mathematics · Algebra
Role in the graph
Cross-disciplinary bridge — reaches Biology, Economics, Finance
Relationships
2 · 3 relation families
Mental models
1

Insights from this view

Structural observations about the concepts shown here — descriptions of this graph, not claims about the world.

  • This view connects 20 disciplines: Algebra, Arithmetic, Biology, Chemistry, Climatology, Demography, Ecology, Economics, Epidemiology, Ethics, Evolutionary Biology, Finance, Mathematics, Microbiology, Microeconomics, Network Science, Physics, Public Health, Sociology, Systems Science.
  • Exponential function is a bridge concept — viewed here through Algebra, Mathematics.
  • The connections here span 6 relation families.
  • Compounding explains 9 concepts in this view (Algebra, Biology, Chemistry, Climatology, Demography, Ecology, Economics, Epidemiology, Evolutionary Biology, Finance, Mathematics, Network Science, Physics, Public Health, Sociology, Systems Science).

Relationships as a list

The focused concept’s relationships. Pick another concept in the graph above to update this list.

Explore through a different lens

A lens is a deterministic projection of the graph. Pick a discipline, thinking pattern or journey to reframe the whole view.

By discipline

ChemistryBiologyPhysicsMathematicsComputer ScienceGeologyMineralogyEconomics

By thinking pattern

Bayesian updatingCause and effectCompoundingConservationConstraintsDefense in depthDiffusion & spreadEmergenceEnergy transformationEntropy & irreversibilityEquilibriumFeedback loopIncentivesInformationLevels & hierarchyModularityNetworksOptimizationOscillationProbabilityRecursion & self-similarityScaleSignal vs noiseSource–pathway–receptorStocks and flowsSymmetry & invarianceThresholds & tipping pointsTrade-offsTriangulationVariation & selectionWaves

By journey

From a Leaf to the ClimateWhy Music Moves UsHow Machines LearnReasoning about a Leaf and the Climate

Concept collections

Concept collections are curated lenses onto the fabric — themed sets of ideas that recur across disciplines. They are not journeys; they are a way to read the graph.

About this view

What this is

Start from one concept and expand outward. The view never shows everything at once — click a node to refocus, filter by relationship type, or switch to an accessible list.

One fabric

3750 concepts and 5051 typed relations form one connected component — no isolated silo.

How to read it

Focus a concept, or apply a lens (discipline, mental model, journey) to see only the threads that matter.