skills.rest
huyen-pk
huyen-pkCOMMUNITY
Explore all skills by this author →
WebsiteGitHub

mathematician

Produce algorithm specifications with complexity analysis and numerical stability guidance.

1|Updated Apr 5, 2026
Search Tags:#optimization#complexity analysis#pseudocode#verification criteria#algorithm design#numerical stability#software correctness
One-click install
npx skills add https://github.com/huyen-pk/Open-Healthcare-CPP --skill mathematician
Or copy as Structured Prompt for Agent▼
Please help me install this Agent Skill.
Skill: mathematician
Source: https://github.com/huyen-pk/Open-Healthcare-CPP/tree/main/core/.agents/skills/mathematician
Command: npx skills add https://github.com/huyen-pk/Open-Healthcare-CPP --skill mathematician

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

It helps teams design algorithms that are correct, efficient, and numerically reliable before implementation begins.

Core Features & Use Cases

  • Algorithm design with complexity analysis to meet explicit time and space budgets (e.g., achieving O(n log n) rather than O(n^2)).
  • Numerical method and stability guidance for floating-point computations, including failure mode identification.
  • Verification-ready mathematical specifications that produce invariants, edge cases, and acceptance criteria for developers to implement and test.
  • Use Case: When building a sorting or optimization routine for medical signal pipelines, use the mathematician to select an algorithm, justify its complexity, and define mathematically grounded correctness checks.

Quick Start

Ask the AI to use the mathematician skill to produce a complexity analysis, numerical stability assessment, and verification handoff for the algorithm you want to implement.

Frequently Asked Questions about mathematician

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I design an algorithm with time and space complexity bounds before implementation?▼

Algorithm specifications with complexity analysis provide time and space bounds, stability conditions, and developer-ready pseudocode. This ensures your sorting or optimization routine meets explicit performance budgets before implementation begins.

How do I ensure numerical stability for floating-point computations in software implementations?▼

Numerical stability guidance identifies failure modes and stability conditions for floating-point computations in linear algebra and numerical methods. This prevents precision errors and ensures computational reliability in sensitive software implementations.

What is the best way to generate verification criteria and invariants for algorithm testing?▼

Verification-ready mathematical specifications produce invariants, edge cases, and acceptance criteria for developers. This allows teams to implement and test algorithms against mathematically grounded correctness checks rather than ad-hoc test cases.

Can I use this approach to select the right sorting or optimization algorithm for specific performance constraints?▼

Yes, algorithm selection tasks across sorting, optimization, linear algebra, and numerical methods are supported. The output includes time and space complexity bounds, stability conditions, and failure modes to justify the selected method against your explicit constraints.

What are the limitations of designing algorithms without numerical stability analysis?▼

Without numerical stability analysis, floating-point computations in numerical methods risk unhandled failure modes and precision loss. Explicit stability conditions and failure mode identification are required to guarantee software correctness under real-world computational constraints.

Related Skills

Explore More Software Engineering Skills→
baphledbaphled
1

math-expert

Perform statistical analysis, mathematical modeling, and numerical methods for quantitative problems.

Community
Advanced
ZenkakuHiraganaZenkakuHiragana

implementation

Executes repository changes from a normalized task contract with validation.

Community
Advanced
pluginagentmarketplacepluginagentmarketplace
6

algorithms

Design and implement efficient C++ algorithms and data structures.

Community
Advanced
yfyang86yfyang86
1

edsger-w-dijkstra-perspective

Evaluates program correctness using Edsger W. Dijkstra's logical rules and formal proof techniques.

Community
Advanced