Worked examples¶
biology-population¶
Example: Lake Algae Bloom Tipping Point¶
Demonstrates Monod-coupled logistic + LV grazing + bistable switch.
Parameter provenance: the values below are illustrative.
lit./data./est.mark the intended weight of a range; this file cites no external source. Reading material for the workflow, not a literature-backed model.
cafe-pricing-war¶
Example: Idea → Mathematical Model (Two Cafés Pricing War)¶
Demonstrates the game theory lens, strategic interaction that single-actor optimization cannot see.
Parameter provenance: the values below are illustrative.
lit./data./est.mark the intended weight of a range; this file cites no external source. Reading material for the workflow, not a literature-backed model.
chemistry-reaction¶
Example: Batch Reactor Scale-Up: Kinetics vs Mixing vs Equilibrium¶
Demonstrates deterministic primary + spatial/transport + thermodynamic + control secondary on a scale-up diagnosis.
Parameter provenance: the values below are illustrative.
lit./data./est.mark the intended weight of a range; this file cites no external source. Reading material for the workflow, not a literature-backed model.
climate-energy¶
Example: Climate-Energy -- Decarbonization Mix (Condensed Skeleton)¶
Status: this is a 20-line phase outline, not a full worked example and not a validated model. It shows the shape of the 8-phase report. Read a full-length example first; see docs/example-gallery.md.
Parameter provenance: the values below are illustrative placeholders and cite no external source.
coffee-shop-staffing¶
Example: Idea → Mathematical Model (Coffee Shop Staffing)¶
Third worked example, demonstrates queueing + optimization on an operations question, including a rejected-lens rationale.
Parameter provenance: the values below are illustrative.
lit./data./est.mark the intended weight of a range; this file cites no external source. Reading material for the workflow, not a literature-backed model.
control-greenhouse¶
Example: Idea → Mathematical Model (Greenhouse Night Temperature)¶
Demonstrates the control lens as primary, steering a system to a setpoint against disturbances.
Parameter provenance: the values below are illustrative.
lit./data./est.mark the intended weight of a range; this file cites no external source. Reading material for the workflow, not a literature-backed model.
engineering-control¶
Example: Drone Hover in Wind: Control¶
Demonstrates control primary + stochastic + optimization + SPC on literal engineering system.
Parameter provenance: the values below are illustrative.
lit./data./est.mark the intended weight of a range; this file cites no external source. Reading material for the workflow, not a literature-backed model.
epidemic-sir¶
Example: Idea → Mathematical Model (Epidemic Spread)¶
Demonstration of the full workflow on a concrete idea.
Parameter provenance: the values below are illustrative.
lit./data./est.mark the intended weight of a range; this file cites no external source. Reading material for the workflow, not a literature-backed model.
finance-portfolio¶
Example: Finance-Portfolio -- Mean-Variance Allocation (Condensed Skeleton)¶
Status: this is a 20-line phase outline, not a full worked example and not a validated model. It shows the shape of the 8-phase report. Read a full-length example first; see docs/example-gallery.md.
Parameter provenance: the values below are illustrative placeholders and cite no external source.
fleet-maintenance¶
Example: Idea → Mathematical Model (Delivery Fleet Preventive Maintenance)¶
Demonstrates the reliability lens, deciding policy over failure times.
Parameter provenance: the values below are illustrative.
lit./data./est.mark the intended weight of a range; this file cites no external source. Reading material for the workflow, not a literature-backed model.
insurance-ruin¶
Example: Idea → Mathematical Model (Insurance Ruin Risk)¶
Demonstrates stochastic lens on rare events, where deterministic thinking fails hardest.
Parameter provenance: the values below are illustrative.
lit./data./est.mark the intended weight of a range; this file cites no external source. Reading material for the workflow, not a literature-backed model.
marketing-attribution¶
Example: Idea → Mathematical Model (Marketing Attribution)¶
Demonstrates the causal inference lens, turning correlation into intervention logic.
Parameter provenance: the values below are illustrative.
lit./data./est.mark the intended weight of a range; this file cites no external source. Reading material for the workflow, not a literature-backed model.
network-rumor¶
Example: Idea → Mathematical Model (Rumor Spread in a School)¶
Demonstrates the network lens as primary, structure changes the answer.
Parameter provenance: the values below are illustrative.
lit./data./est.mark the intended weight of a range; this file cites no external source. Reading material for the workflow, not a literature-backed model.
physics-oscillator¶
Example: Damped Pendulum Clock: How Much Time Is Lost?¶
Demonstrates deterministic primary + stochastic + thermodynamic + control secondary on a literal physics system.
Parameter provenance: the values below are illustrative.
lit./data./est.mark the intended weight of a range; this file cites no external source. Reading material for the workflow, not a literature-backed model.
probability-bayes¶
Example: Medical Test Bayes: 99% Accurate, Disease 1/1000¶
Demonstrates Bayes primary + CLT validation + decision + information.
Parameter provenance: the values below are illustrative.
lit./data./est.mark the intended weight of a range; this file cites no external source. Reading material for the workflow, not a literature-backed model.
sensor-placement¶
Example: Idea → Mathematical Model (Sensor Placement)¶
Demonstrates the information theory lens, deciding what to measure when you cannot measure everything.
Parameter provenance: the values below are illustrative.
lit./data./est.mark the intended weight of a range; this file cites no external source. Reading material for the workflow, not a literature-backed model.
startup-growth¶
Example: Idea → Mathematical Model (App Adoption Growth)¶
Demonstrates archetype-first workflow (Bass diffusion) and Phase 7 calibration with real data.
Parameter provenance: the values below are illustrative.
lit./data./est.mark the intended weight of a range; this file cites no external source. Reading material for the workflow, not a literature-backed model.
supply-chain-inventory¶
Example: Idea → Mathematical Model (Retail Inventory Under Uncertain Demand)¶
Second worked example, demonstrates stochastic + optimization + control lenses on a business problem.
Parameter provenance: the values below are illustrative.
lit./data./est.mark the intended weight of a range; this file cites no external source. Reading material for the workflow, not a literature-backed model.