phys: merge data into blocks, reduce non-example admonitions
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@ -100,10 +100,7 @@ The order of magnitude of a number can be found by converting it to scientific n
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### Uncertainties
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### Uncertainties
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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.
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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.
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!!! note
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Variables with uncertainty use an uppercase delta for their uncertainty value: $a ± \Delta a$
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- The absolute uncertainty of a number is written in the same unit as the value.
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- The absolute uncertainty of a number is written in the same unit as the value.
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- The percentage uncertainty of a number is the written as a percentage of the value.
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- The percentage uncertainty of a number is the written as a percentage of the value.
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@ -126,13 +123,10 @@ See [Dealing with Uncertainties](/resources/g11/physics-uncertainties.pdf) for h
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### Error bars
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### Error bars
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Error bars represent the uncertainty of the data, typically representing that data point's standard deviation, and can be both horizontal or vertical.
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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 $(x ± \Delta x, y ± \Delta y)$
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<img src="/resources/images/error-bars.png" width=600>(Source: Kognity)</img>
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<img src="/resources/images/error-bars.png" width=600>(Source: Kognity)</img>
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!!! note
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On a graph, a data point with uncertain values is written as $(x ± \Delta x, y ± \Delta y)$
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### Uncertainty of gradient and intercepts
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### Uncertainty of gradient and intercepts
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!!! note "Definition"
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!!! note "Definition"
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@ -189,7 +183,7 @@ Alternatively, for any number of vectors, negate the vector(s) being subtracted
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### Adding/subtracting vectors algebraically
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### Adding/subtracting vectors algebraically
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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.
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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.
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$$\vec{F}_x + \vec{F}_y = \vec{F}$$
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$$\vec{F}_x + \vec{F}_y = \vec{F}$$
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!!! info "Reminder"
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!!! info "Reminder"
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