---
title: 'lecture 01: introduction and overview'
description: notes on lecture 1, drafted from 2 marks
date: '2026-10-11'
tags:
  - course
  - mit
created: '2026-10-11'
modified: '2026-10-11'
published: '2026-10-11'
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---
Source: [[courses/18-156-projection-theory-spring-2025/resources/mit18_156_s25_lec01_pdf|lecture 1]].

## p. 1

> Projection theory studieshow a set X behaves under different orthogonal projections.

[[courses/18-156-projection-theory-spring-2025/static_resources/mit18_156_s25_lec01.pdf#page=1|p. 1]]

## p. 3

> Similarly, the projection problem in F2q is differentdepending on whether q is prime or not prime.

[[courses/18-156-projection-theory-spring-2025/static_resources/mit18_156_s25_lec01.pdf#page=3|p. 3]]