 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2023/paper-1/17/a/solution

[- L, L]

⟨ f, g ⟩ = \int_{- L}^{L} f (x) g (x) d x = 0.

Multiplying this inner product by a common nonzero normalising constant does not change orthogonality.

 New to topics? Read the docs here!