diff --git a/docs/sph3u7.md b/docs/sph3u7.md index c0eb195..c1b1c47 100644 --- a/docs/sph3u7.md +++ b/docs/sph3u7.md @@ -100,10 +100,7 @@ The order of magnitude of a number can be found by converting it to scientific n ### Uncertainties -Uncertainties are stated in the form of [value] ± [uncertainty]. A value is only as precise as its absolute uncertainty. Absolute uncertainty of a **measurement** is usually represented to only 1 significant digit. - -!!! note - Variables with uncertainty use an uppercase delta for their uncertainty value: $a ± \Delta a$ +Uncertainties are stated in the form of $a±\Delta a$. A value is only as precise as its absolute uncertainty. Absolute uncertainty of a **measurement** is usually represented to only 1 significant digit. - The absolute uncertainty of a number is written in the same unit as the value. - The percentage uncertainty of a number is the written as a percentage of the value. @@ -126,13 +123,10 @@ See [Dealing with Uncertainties](/resources/g11/physics-uncertainties.pdf) for h ### Error bars -Error bars represent the uncertainty of the data, typically representing that data point's standard deviation, and can be both horizontal or vertical. +Error bars represent the uncertainty of the data, typically representing that data point's standard deviation, and can be both horizontal or vertical. A data point with uncertain values is written as $(x ± \Delta x, y ± \Delta y)$ (Source: Kognity) -!!! note - On a graph, a data point with uncertain values is written as $(x ± \Delta x, y ± \Delta y)$ - ### Uncertainty of gradient and intercepts !!! note "Definition" @@ -189,7 +183,7 @@ Alternatively, for any number of vectors, negate the vector(s) being subtracted ### Adding/subtracting vectors algebraically -Vectors can be broken up into two vectors (**"components"**) laying on the x- and y-axes via trigonometry such that the resultant of the two components is the original vector. This is especially helpful when adding larger (3+) numbers of vectors. +Vectors can be broken up into two **component vectors** laying on the x- and y-axes via trigonometry such that the resultant of the two components is the original vector. This is especially helpful when adding larger (3+) numbers of vectors. $$\vec{F}_x + \vec{F}_y = \vec{F}$$ !!! info "Reminder"