Recent content by L.S.H
-
L
How to prove the following defined metric space is separable
Let ##\mathbb{X}## be the set of all sequences in ##\mathbb{R}## that converge to ##0##. For any sequences ##\{x_n\},\{y_n\}\in\mathbb{X}##, define the metric ##d(\{x_n\},\{y_n\})=\sup_{n}{|x_n−y_n|}##. Show the metric space ##(\mathbb{X},d)## is separable. I understand that I perhaps need to...- L.S.H
- Thread
- Analysis Metric Metric space Real analysis Separable Space
- Replies: 2
- Forum: Calculus and Beyond Homework Help
-
L
Perturbation Theory: Finding Eigenfunctions and Energies
The form of the new psai is a phase factor mutiplied by the previous eigenfunction. You can to some extent anticipate this answer form because the moment p has undergone a certain 'shift' by lamda.- L.S.H
- Post #3
- Forum: Advanced Physics Homework Help