Direct proportionality
y ∝ x means y = kx for a fixed k.
The constant is fixed over the domain being discussed.
The proportional-to sign ∝ leaves a constant unstated: y ∝ x means y = kx for a fixed k over the range being discussed.
PROPORTIONAL TO
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The proportional-to sign ∝ leaves a constant unstated: y ∝ x means y = kx for a fixed k over the range being discussed.
Follow the shorthand with a definition such as y = kx when the relationship must be computed. State which quantities remain constant.
y ∝ x means y = kx for a fixed k.
The constant is fixed over the domain being discussed.
A ∝ r² for circles
Area scales with the square of radius; the constant is π.
U+221EThe open shape of ∝ is not the closed infinity symbol.
DetailsU+003DAn equality supplies the full expression, including any constant.
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