D daddythicclegs Member Joined Dec 9, 2020 Messages 7 Gender Male HSC N/A Jan 18, 2022 #1 When do the Cauchy-Schwarz inequality and triangle inequality hold equality? Could this be explained algebraically pls
When do the Cauchy-Schwarz inequality and triangle inequality hold equality? Could this be explained algebraically pls
C carrotsss New Member Joined May 7, 2022 Messages 4,461 Gender Male HSC 2023 Sep 3, 2023 #2 They are equal when both x and y are positive or both negative e.g. For x,y >= 0 |x| + |y| = x + y |x + y| = x + y For vectors the same holds except they just have the be in the same direction rather than sign
They are equal when both x and y are positive or both negative e.g. For x,y >= 0 |x| + |y| = x + y |x + y| = x + y For vectors the same holds except they just have the be in the same direction rather than sign