95
construct a parsimonious trade-off frontier (Pareto set)
Identify the set of non-dominated solutions in a multi-objective problem to eliminate inefficient options.
Template library
2,142 engineered scaffolds across 26 categories. Pick a category, drill into a subcategory, then open one straight into the engine.
- 2,142
- templates
- 26
- categories
- 156
- subcategories
94
Advisory Memo Operator
Write an advisory memo that gives a clear recommendation and owns the reasoning.
94
Assumption Stress Test Operator
Stress test the assumptions a conclusion depends on.
94
Model Sensitivity Review
Find which inputs actually move a model and which are noise.
94
Quantitative Estimate Builder
Build a defensible estimate from first principles with stated ranges.
94
Red Team Operator
Attack a plan for the failure mode nobody wants to discuss.
94
Reformulate and prove a statement by contrapositive
Decide when the contrapositive is easier than the direct route and execute the reformulation correctly.
94
Research Synthesis Matrix
Synthesise conflicting sources into one defensible position.
94
Scaffold a direct proof with explicit want-to-show steps
Produce a fully scaffolded direct proof that names its assumption, its goal, and its return to that goal.
94
Sponsorship Pitch Operator
Pitch a sponsorship built on audience proof and clear deliverables.
94
Structured Problem Decomposition
Decompose a messy problem into independent, answerable parts.
94
Write an induction proof and judge whether strong induction is needed
Produce a complete induction proof and justify the choice between ordinary and strong induction.
93
audit a compensatory decision model for rank reversal
Detect and mitigate rank reversal vulnerabilities in multi-criteria decision models when alternatives are added or removed.
93
evaluate a 'Real Option' in a sequential decision
Value the flexibility to defer, abandon, or expand a project as new information arrives.
93
rank alternatives by their 'Robustness' across scenarios
Identify the 'Minimax Regret' or 'Maximin' solution that performs well across all possible future scenarios.
92
Post-Purchase Post-Mortem & Review Generator
Optimize the post-purchase feedback loop to drive reviews and secondary conversions.