From 92d1615dfc5cd426d4285c7deed64032d7285808 Mon Sep 17 00:00:00 2001 From: "Steven G. Johnson" Date: Mon, 30 Sep 2024 10:44:53 -0400 Subject: [PATCH] tweak --- notes/Least-Square Fitting.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/notes/Least-Square Fitting.ipynb b/notes/Least-Square Fitting.ipynb index fa520eb..0ad1e6a 100644 --- a/notes/Least-Square Fitting.ipynb +++ b/notes/Least-Square Fitting.ipynb @@ -598,7 +598,7 @@ "\n", "Now, $A$ is $m \\times 2$, and full column rank (assuming distinct voltages $|d_k|$), but of course it is not invertible for $m > 2$.\n", "\n", - "It will still have a solution (a unique solution!) if all of the $R_k$ measurements fall *exactly* on a quadratic curve $x_1 + x_2 d^2$, but in a real experiment there would be some *measurement noise* that would spoil this.\n", + "It will still have a solution (a unique solution!) if all of the $R_k$ measurements fall *exactly* on a quadratic curve $x_1 + x_2 d^2$, but in a real experiment there would be some *measurement noise* that would spoil this. (There will also be *systematic errors* because real resistors are not exactly quadratic, but let's ignore that here.)\n", "\n", "For example, let's suppose $x = (1,2)$ and we do $m=200$ measurements for $d \\in [0,2]$, but that each measurement has a random uncertainty $\\approx R \\pm 0.1$." ]