Part 1.Convex Set and Convex Function 。Definition ·Ball and Ellipsoid Convex Hull and Projection Convex/Concave Function Zeroth,First and Second-order Condition Advanced Optimization(Fall 2023) Lecture 2.Convex Optimization Basics 6Advanced Optimization (Fall 2023) Lecture 2. Convex Optimization Basics 6 Part 1. Convex Set and Convex Function • Definition • Ball and Ellipsoid • Convex Hull and Projection • Convex/Concave Function • Zeroth, First and Second-order Condition