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I have a point [x1,y1], a slope m of a line that passes through that point. I'd like to find either point [x,y] that is d distance away from that original point. Work so far: $$ y = m(x - x_1) +...
- You can get rid of lots of algebra with a little trigonometry. $m=\tan \theta$, the angle between the $x$ axis and the line. Then $x-x_1=d \cos \th...
- Nicer solution: you know that the vector $(1, m)$ points in the direction of your line. Divide by $r= \sqrt{1 + m^2}$ to get a unit-length vector $...
- It might be simpler to work with vectors, here. You can rewrite as a vector equation $$\langle x,y\rangle = \langle x_1,y_1\rangle +t\langle 1,m\ra...
Apr 29, 2010 · Find 2 most distant points. Distant from each other. For example, for points: (0,0), (1,1), (-8, 5) - the most distant are: (1,1) and (-8,5) because the distance between them is larger from both (0,0)- (1,1) and (0,0)- (-8,5). The obvious approach is to calculate all distances between all points, and find maximum.
- EDIT: One way is to find the convex hull http://en.wikipedia.org/wiki/Convex_hull of the set of points and then the two distant points are vertices...
- Boundary point algorithms abound (look for convex hull algorithms). From there, it should take O(N) time to find the most-distant opposite points....
- You are looking for an algorithm to compute the diameter of a set of points, Diam(S). It can be shown that this is the same as the diameter of the...
- A stochastic algorithm to find the most distant pair would be. Choose a random point. Get the point most distant to it. Repeat a few times. Rem...
- This question is introduced at Introduction to Algorithm. It mentioned 1) Calculate Convex Hull O(NlgN). 2) If there is M vectex on Convex Hull. Th...
- Find the mean of all the points, measure the difference between all points and the mean, take the point the largest distance from the mean and find...
- Just a few thoughts: You might look at only the points that define the convex hull of your set of points to reduce the number,... but it still loo...
- This seems easy if the points are given in Cartesian coordinates. So easy that I'm pretty sure that I'm overlooking something. Feel free to point o...
- Here's a good solution, which works in O(n log n). It's called Rotating Caliper’s Method. https://www.geeksforgeeks.org/maximum-distance-between-tw...
- A solution that has runtime complexity O(N) is a combination of the above answers. In detail: (1) One can compute the convex hull with runtime comp...
A latent image is an invisible image produced by the exposure to light of a photosensitive material such as photographic film. When photographic film is developed, the area that was exposed darkens and forms a visible image.
So we choose the hyperplane so that the distance from it to the nearest data point on each side is maximized. If such a hyperplane exists, it is known as the maximum-margin hyperplane and the linear classifier it defines is known as a maximum-margin classifier; or equivalently, the perceptron of optimal stability. [citation needed]
What is the relationship between Kilovoltage (kV) and exposure when about 15% more kV is used? a) 15% the exposure b) 2x the exposure c) 3x the exposure d) 4x the exposure
Feb 21, 2022 · To find the equation of the perpendicular line in Figure \(\PageIndex{14}\), use the point slope form, substitute \(3/2\) for \(m\), then \((2 ,1)\) for \((x_0,y_0)\). That is, substitute \(2\) for \(x_0\), then \(1\) for \(y_0\).
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Mar 1, 2022 · What is point-slope form? In this post, you will learn how to determine the point-slope form of a line given two points or given a point and a slope. You will also see how to graph and how to determine x and y intercepts using point-slope form.
