Results for “problem-solving”

Problem-solving strategies for boundary value problems in odes pdes

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Problem-solving strategies for rings in abstract algebra

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Problem-solving strategies for source coding in information theory

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Problem-solving strategies for channel capacity in information theory

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Problem-solving strategies for convergence in real analysis

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Problem-solving strategies for numerical integration in numerical methods

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Problem-solving strategies for sigma algebras in measure theory

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Problem-solving strategies for eigenvalues in linear algebra

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Problem-solving strategies for prime numbers in graph number theory

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Problem-solving strategies for banach spaces in functional analysis

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Problem-solving strategies for categories functors in category theory

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Problem-solving strategies for groups in abstract algebra

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Problem-solving strategies for matrices in linear algebra

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Problem-solving strategies for vector spaces in linear algebra

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Problem-solving strategies for first order odes in odes pdes

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Problem-solving strategies for natural transformations in category theory

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Problem-solving strategies for root finding in numerical methods

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Problem-solving strategies for propositional logic in mathematical logic

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Problem-solving strategies for gradient methods in optimization

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A step-by-step problem-solving loop (classify the ask, define done, gather evidence, decide, act surgically, verify by observation, report outcome-first). Use when the user says "/fable-method", "use the fable method", or "approach this like Fable", or proactively when starting any multi-step task that no task-specific skill covers. Subcommands - plan (stop after the plan), audit (grade finished work against the loop), report (rewrite an answer outcome-first).

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Coordinates parallel investigation threads to simultaneously explore multiple hypotheses or root causes across different system areas. Use when debugging production incidents, slow API performance, multi-system integration failures, or complex bugs where the root cause is unclear and multiple plausible theories exist; when serial troubleshooting is too slow; or when multiple investigators can divide root-cause analysis work. Provides structured phases for problem decomposition, thread assignment, sync points with Continue/Pivot/Converge decisions, and final report synthesis.

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Performs systematic root cause analysis to identify the true source of bugs, errors, and unexpected behavior through structured investigation phases — not just treating symptoms. Use when a user reports a bug, crash, error, or broken behavior and needs to debug, troubleshoot, or investigate why something is not working; especially for complex or intermittent issues across multiple components. Applies the Five Whys method, hypothesis-driven testing, stack trace analysis, git blame/log evidence gathering, and causal chain documentation to isolate and confirm root causes before applying any fix.

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Use when asked 写8D报告, 客户投诉8D, 质量问题8D, 客诉回复报告, 8D 怎么写, 根本原因分析报告, or write an 8D problem-solving report for a customer complaint or internal quality issue in a Chinese factory. Produces a bilingual (Chinese and English) 8D report from D0 to D8 with the problem described by 5W2H, dated containment actions and suspect-stock quantities, root cause for both occurrence and escape (流出) with 5 Why and fishbone evidence, verified corrective actions, prevention through updated PFMEA, control plan and SOP, and closure criteria, in the format customers expect.

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Script a teacher think-aloud demonstrating expert reasoning processes for a specific task. Use when modelling problem-solving, writing, reading comprehension, or analytical processes.

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