From 7856752d509ff3a94d5fb74f2a06d557f00d3d35 Mon Sep 17 00:00:00 2001
From: Jidong Xiao <xiaoj8@rpi.edu>
Date: Sun, 15 Oct 2023 20:52:14 -0400
Subject: [PATCH] adding lecture 14

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+# Lecture 14 --- Problem Solving Techniques
+
+- Operators as non-member functions, as member functions, and as friend functions.
+
+## 14.1 Complex Numbers — A Brief Review
+
+- Complex numbers take the form z = a + bi, where i =
+√
+−1 and a and b are real. a is called the real part, b is
+called the imaginary part.
+- If w = c + di, then
+– w + z = (a + c) + (b + d)i,
+– w − z = (a − c) + (b − d)i, and
+– w × z = (ac − bd) + (ad + bc)i
+- The magnitude of a complex number is √
+a
+2 + b
+2