Skip to content

Archive

Home Browse Courses Talks Playlists

Directory

Institutions Speakers Concepts

Library

Playlists

Intersections of Convex Sets Are Convex

⌘K

/

lectern.tv

Play15s30s1x0:00/--:--

DoneWatched

Expand

Intersections of Convex Sets Are Convex

lectern.tv

University of Washington·Steve Brunton

9:12

0:00/9:12

3:46

0:52

4:09

Intersections of Convex Sets are Convex

University of Washington

9:12·2026·undergraduate·Standalone Lecture

A focused lecture proving the convexity of intersections of convex sets, a foundational result in convex analysis. Presented by the University of Washington.

Proves that intersections of convex sets are also convex. The proof is helpful to understand the mechanics of convexity.

Engineering Convex Optimization Convexity, Duality & Linear Programming Convex Analysis Convex Sets Mathematical Proofs

About the lecturer

Speaker directory →

Website Scholar

Professor of Mechanical Engineering & Adjunct Professor of Applied Mathematics, University of Washington

University of Washington Professor known for data-driven dynamical systems, SINDy, Koopman operator theory, and control engineering.

2 courses · 22 lectures in archiveView profile

Discussion

Share a seminar note, question, or timestamped reference (e.g. 14:20)...Sign in

Books by the lecturer

BruntonData-Driven Science and EngineeringCUP · 2022

Data-Driven Science and Engineering

Steven L. Brunton & J. Nathan Kutz

Cambridge University Press · 2022 · 2nd Edition

Steve Brunton and Nathan Kutz's comprehensive synthesis of SVD, Fourier transforms, system identification, Koopman operators, and optimal control.

Related lectures

5

Properties of Convex Functions

Steve Brunton · University of Washington

Convex OptimizationShared subfield · Convex Optimization & Convexity, Duality & Linear Programming

Statistical Estimation

Stephen Boyd · Stanford University

Convex OptimizationShared subfield · Convex Optimization & Convexity, Duality & Linear Programming

Computing Lyapunov Functions I

Russ Tedrake · MIT

Convex OptimizationShared subfield · Convex Optimization & Convexity, Duality & Linear Programming

Antifragile: Convexity, Optionality, and Systems That Gain from Disorder

Nassim Nicholas Taleb · New York University

Convex OptimizationShared subfield · Convex Optimization & Convexity, Duality & Linear Programming

Jacobian Singularities, Static Force Propagation & Explicit Forms

Oussama Khatib · Stanford University

Convex OptimizationShared subfield · Convex Optimization & Convexity, Duality & Linear Programming

Curriculum & Scholar Web

3 linked

Alma Mater1 courses · 41 lectures

Princeton University

Ph.D. Mechanical and Aerospace Engineering, Princeton University (2012, advisor: Clarence W. Rowley)

Faculty Appointment2 courses · 28 lectures

University of Washington

Professor of Mechanical Engineering, University of Washington (2014–present)

More from Steve Brunton

3

Optimization: A Bootcamp for Machine Learning, Inverse Problems, and Control

University of Washington

Optimization Bootcamp: Convex Optimization for ML & Control

HydroGym: A Reinforcement Learning Platform for Fluid Dynamics

University of Washington

Singular Value Decomposition (SVD): Mathematical Overview

University of Washington

Alma Mater6 courses · 76 lectures

B.S. Mathematics & Control and Dynamical Systems, Caltech (2006)