Breaking Problems Into Functions

A software engineering concept called functional decomposition that can be applied broadly to learning new skills and solving complex problems.

Core Concept of Functional Decomposition

  • Break down complex problems into smaller, simpler functions
  • Each function has clear inputs and outputs
  • Individual functions at the atomic level become trivial to solve
  • Success comes from proper abstraction and breakdown of problems

Real World Example: Website Grading System

  • High-level function: Grade website investment potential
    • Input: Domain name
    • Output: Score 0-100
  • Breaks down into sub-functions:
    • SEO analysis function
      • On-page SEO check (meta tags, H1 titles)
      • Off-page SEO check (link acquisition)
    • Each sub-function becomes progressively simpler

Application to Skill Development

  • Complex skills can be broken down into learnable components
  • Example: Public Speaking
    • Overcome stage anxiety
    • Learn storytelling
    • Master slide design
    • Develop humor
    • Practice delivery
  • Key principles:
    • Skills are learnable through decomposition
    • Talent determines learning speed, not capability
    • Practice individual components separately
    • Combine mastered components over time

Framework for Learning

  • Identify the high-level skill or problem
  • Break it into constituent parts
  • Make each part simple enough to be trivial
  • Create tight feedback loops for improvement
  • Practice components individually
  • Integrate pieces as they're mastered
  • Focus on meaningful iteration with feedback

This approach suggests most complex problems or skills can be learned through proper decomposition and systematic practice of individual components.

01:15:27 - 01:16:10
Full video: 01:28:25
DS

Dharmesh Shah

Co-founder and CTO of HubSpot, a leading SaaS company. Recognized as a top SaaS influencer in 2024, with expertise in AI-driven user experiences.

Committed to continuous learning and innovation in the tech industry, focusing on SaaS, AI, and martech.