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Diffstat (limited to 'site/content/math/atan2.typ')
| -rw-r--r-- | site/content/math/atan2.typ | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/site/content/math/atan2.typ b/site/content/math/atan2.typ index 4e78e56..4442889 100644 --- a/site/content/math/atan2.typ +++ b/site/content/math/atan2.typ @@ -43,13 +43,13 @@ $ & (partial)/(partial x) = -y / (x^2 + y^2) $ -Interesingly, the function $tan^(-1)(y / x)$ has the same partial derivatives. +Interestingly, the function $tan^(-1)(y / x)$ has the same partial derivatives. = Systems of equations involving the cosine and the sine of an unknown #figure( img(static("math/polar-coords.png")), - caption: [A geometric intepretation: θ = atan2(y,x).], + caption: [A geometric interpretation: θ = atan2(y,x).], ) Let $theta, x, y in RR$. Consider the following system of equations: @@ -73,7 +73,7 @@ Because $op("atan2")(sin theta, cos theta) = theta$ (up to a multiple of $2 pi$) = C's atan2 -The definition at the beginning of this article is suitable for mathematical analysis. However, a more intricate definition is needed for floating-point computation, one that takes signed zeros and infinites into account. The following appears in the C standard: +The definition at the beginning of this article is suitable for mathematical analysis. However, a more intricate definition is needed for floating-point computation, one that takes signed zeros and infinities into account. The following appears in the C standard: $ op("atan2")(y, x) = cases( |