Thinking·OS

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Pitch depends on Frequency. Activate to inspect this relation.Oscillation is part of Wave. Activate to inspect this relation.Frequency measures Oscillation. Activate to inspect this relation.Resonance amplifies Oscillation. Activate to inspect this relation.Rhythm is analogous to Oscillation. Activate to inspect this relation.Oscillation is analogous to Cycle. Activate to inspect this relation.Pitch emerges from Oscillation. Activate to inspect this relation.Pendulum depends on Oscillation. Activate to inspect this relation.Pendulum is a Simple harmonic motion. Activate to inspect this relation.Simple harmonic motion is a Oscillation. Activate to inspect this relation.Alternating current is analogous to Oscillation. Activate to inspect this relation.Trigonometry depends on Sine and cosine. Activate to inspect this relation.Sine and cosine is a Function. Activate to inspect this relation.Sine and cosine models Oscillation. Activate to inspect this relation.Oscillator emerges from Oscillation. Activate to inspect this relation.Sine and cosineOscillationTrigonometryFunctionFrequencyWaveResonanceSimple harmonic motionCyclePitchRhythmAlternating currentOscillatorPendulum
Relationship types
Legend
  • 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 concepts15 relationships19 disciplines5 relation families

Sine and cosine

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At a glance

In mathematics, sine and cosine are trigonometric functions of an angle.

Disciplines
Mathematics · Geometry
Role in the graph
Cross-disciplinary bridge — reaches Algebra, Biology, Mechanics, Physics, Set Theory
Relationships
3 · 3 relation families
Mental models
2

Insights from this view

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

  • This view connects 19 disciplines: Acoustics, Algebra, Biology, Civil Engineering, Cognitive Science, Earth & Space Sciences, Electrical Engineering, Electroacoustics, Geometry, Mathematics, Mechanical Engineering, Mechanics, Music, Musicology, Oceanography, Optics, Physics, Set Theory, Signal Processing.
  • Sine and cosine is a bridge concept — viewed here through Geometry, Mathematics.
  • The connections here span 5 relation families.
  • Oscillation explains 11 concepts in this view (Acoustics, Biology, Civil Engineering, Earth & Space Sciences, Electrical Engineering, Electroacoustics, Geometry, Mathematics, Mechanical Engineering, Mechanics, Music, Musicology, Oceanography, Optics, Physics, Signal Processing).

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.