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  1. 2 dni temu · Polar curves are defined by points that are a variable distance from the origin (the pole) depending on the angle measured off the positive x x -axis. Polar curves can describe familiar Cartesian shapes such as ellipses as well as some unfamiliar shapes such as cardioids and lemniscates. r=1-\cos {\theta}\sin {3\theta} r = 1−cosθsin3θ.

    • Rotation

      See also: Symmetry Rotational symmetry occurs if an object...

    • Ellipse

      Ellipses are essentially circles that have been stretched,...

    • Translation

      For example, let \(A=(c,d)\) and \(B=(e,f) \) be points in...

  2. 5 dni temu · For a graph \(G = (V,E)\) and a source vertex \(v\), breadth-first search traverses the edges of \(G\) to find all reachable vertices from \(v\). It also computes the shortest distance to any reachable vertex. Any path between two points in a breadth-first search tree corresponds to the shortest path from the root \(v\) to any other node \(s\).

  3. 5 dni temu · Watch on YouTube - Video notes - Video sections playlist - Vectors and the Geometry of Space playlist. In this video I go over a quick recap on the formula for determining the shortest distance between a point and a plane in 3D. The formula is just the projection of any position vector from the plane to the point onto the normal vector of the plane, and involves their dot product.

  4. en.wikipedia.org › wiki › HyperbolaHyperbola - Wikipedia

    1 dzień temu · A hyperbola is a set of points, such that for any point of the set, the absolute difference of the distances | |, | | to two fixed points , (the foci) is constant, usually denoted by , >: = {: | | | | | | =}.

  5. 3 dni temu · I know I could create two ggplots and then combine them together, but then no line would be connecting them. How would I connect the pair of points? Here is my example df: df <- data.frame (id = c (1, 2, 3), x_at_end = c (4, 5, 6), y_at_end = c (8, 10, 12), x_at_start = c (20, 30, 40), y_at_start = c (40, 60, 80)) I would like to plot x_at_end ...

  6. 6 dni temu · For each of the graphs below, you should memorize each of the following pieces of information, or should be familiar enough with the graph that you can determine each from your knowledge of the graph.

  7. 3 dni temu · How are box plots used? Box plots help you see the center and spread of data. You can also use them as a visual tool to check for normality or to identify points that may be outliers. Is a box plot the same as a box-and-whisker plot? Yes. Box plots may also be called outlier box plots or quantile box plots.

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