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27 votes
2 answers
38k views

Is "norm" equivalent to "Euclidean distance"?

I am not sure whether "norm" and "Euclidean distance" mean the same thing. Please could you help me with this distinction. I have an n by m array a, where m > 3. I want to calculate the Eculidean ...
J_yang's user avatar
  • 2,702
19 votes
3 answers
30k views

Calculate Euclidean distance between 4-dimensional vectors

Let's say I have two 4-dimensional vectors (i.e. a and b) as follows: a = {a1, a2, a3, a4} b= {b1, b2, b3, b4} How do I compute the Euclidean distance between these vectors?
user3583442's user avatar
14 votes
5 answers
21k views

Fastest way to calculate the distance between two CGPoints?

Distance between two points: sqrt((x1-x2)^2 + (y1-y2)^2) Is there a way to do this math faster in objective-C ? EDIT: I think I need to clarify above. I wrote the formula above just to clarify what ...
xcoder's user avatar
  • 967
11 votes
5 answers
6k views

What is the most efficient way to find the euclidean distance in 3d using mysql?

I have a MySQL table with thousands of data points stored in 3 columns R, G, B. how can I find which data point is closest to a given point (a,b,c) using Euclidean distance? I'm saving RGB values of ...
soulkphp's user avatar
  • 3,783
6 votes
2 answers
1k views

Matlab formula optimization: Radial Basis Function

z - matrix of doubles, size Nx2; x - matrix of doubles, size Nx2; sup = x(i, :); phi(1, i) = {@(z) exp(-g * sum((z - sup(ones([size(z, 1) 1]),:)) .^ 2, 2))}; this is a Radial Basis Function (RBF) ...
Yekver's user avatar
  • 5,055
4 votes
4 answers
3k views

Faster way to compare two sets of points in N-dimensional space?

List1 contains a high number (~7^10) of N-dimensional points (N <=10), List2 contains the same or fewer number of N-dimensional points (N <=10). My task is this: I want to check which point in ...
user avatar
3 votes
2 answers
131 views

Generate P random N-dimensional points from list of ALL possible pairwise distances

I would like to generate random N-dimensional points with the constraint of having precise Euclidean distances (known) between each other. Number of points P = 100 Number of dimensions of the ...
qgius's user avatar
  • 33
3 votes
1 answer
6k views

Calculate overlap between two rectangles on x/y grid?

I need to calculate the overlap (amount or yes/no) that two rectangles make on a special x/y grid. The grid is 500x500 but the sides and corners connect (are continuous). So the next point after 499 ...
Ropstah's user avatar
  • 17.7k
3 votes
1 answer
2k views

How to calculate weighted similarity with scipy.spatial.distance.cosine?

From the function definition: https://docs.scipy.org/doc/scipy/reference/generated/scipy.spatial.distance.cosine.html scipy.spatial.distance.cosine(u, v, w=None) but my codes got some errors: from ...
DataHolic's user avatar
3 votes
2 answers
1k views

squared-euclidean distance with RealVectors in Apache Commons Math

I'm using Apache Commons RealVector and ArrayRealVector classes in Java. I can calculate the euclidean distance between two vectors v1 and v2 as double dist = v1.getDistance(v2); However, I'm ...
COM's user avatar
  • 847
2 votes
1 answer
251 views

Euclidian Distance math error

import math from math import sqrt Hailey=[0,4,1,4,0,0,4,1] Verica=[3,0,0,5,4,2.5,3,0] temp=[] distance=0 x=0 for i in range(0,len(Hailey)): if (Hailey[i]!=0 and Verica[i]!=0): temp[x]=...
IseNgaRt's user avatar
  • 611
2 votes
1 answer
172 views

Calculate distances between a line and all points on an intersecting plane in r

I have a regular, rectangular grid of x, y, z values (an image). I also have an x, y, z line that intersects the grid. For each plane (z-level) in the grid, I want to compute the Euclidean distance ...
Brian D's user avatar
  • 2,650
1 vote
2 answers
6k views

What is negative squared euclidean distance?

It is described as -||xi-xy||^2. So for 2 two dimensional points do I code it like this? - ((x1-x2) + (y1-y2))^2 or -( (x1-x2)^2 + (y1-y2)^2 ) or -(sqrt( (x1-x2)^2 + (y1-y2)^2 )) or some ...
anon's user avatar
  • 687
1 vote
1 answer
965 views

Given lengths of 3 sides of a triangle, compute an average distance between the middle points of the sides

I have come across a problem. The problem statement is A team of 3 people, is going to participate in a competition. According to the regulations of this competition, every team is given a single ...
sanapala mohanarao's user avatar
1 vote
2 answers
189 views

Vector deltas and moving in unknown areas

I was in need of a little math help that I can't seem to find the answer to, any links to documentation would be greatly appreciated. Heres my situation, I have no idea where I am in this maze, but I ...
dekz's user avatar
  • 805
1 vote
2 answers
3k views

Finding maximum/minimum distance of two rows in a matrix using MATLAB

Say we have a matrix m x n where the number of rows of the matrix is very big. If we assume each row is a vector, then how could one find the maximum/minimum distance between vectors in this matrix?
Royeh's user avatar
  • 433
1 vote
1 answer
34 views

Determine the next point 2D after some distance from initial point

Hi I'm creating a simple program to create create lines. When the user is drawing a line, first he needs to draw the first point *ignore '5cm' information for above image The second point (mouse ...
Lucas Moura's user avatar
1 vote
3 answers
5k views

3D Trilateration using given distances of unknown fixed points

I am new to this forum and not a native english speaker, so please be nice! :) Here is the challenge I face at the moment: I want to calculate the (approximate) relative coordinates of yet unknown ...
JStaxton's user avatar
1 vote
2 answers
736 views

How to express Euclidean distance in two dimension instead of one?

I have two variables containing an array of 300-dimensional vectors called a and b. Of which the minimal value is -10.0 and the max value is 10.0 per vector value. My goal is to visualize the ...
Bob van Luijt's user avatar
0 votes
1 answer
3k views

Calculating the distance between two squares on a grid - Java

I am creating a game in Java and have a grid of squares that make up the playable area. The player has certain targets and I need to work out how far away the player is from those targets using the x ...
user3407039's user avatar
  • 1,315
0 votes
4 answers
4k views

Determine Point Coordinates In 3D

I have a line that exists in 3D that is between two known points: {X1, Y1, Z1} and {X2, Y2, Z2}. (X1,Y1,X1)----------(X2,Y2,Z2) There is a point (Xd,Yd,Zd) on the line between those points at ...
ikey's user avatar
  • 3
0 votes
2 answers
149 views

Decimal representation in python

When given input Iam getting result like 1.0 but I need it to be 1.000000000000 How should I modify within hypot?? small=1000000000 from math import hypot def pairwise(iterable): a, b = iter(...
radhika kondapaneni's user avatar
0 votes
2 answers
77 views

Total Euclidian length of a vector

Given a set of vectors points, what is an efficient way of computing total Euclidian length (sum of Euclidian thenthes between all points). I think about: from scipy.spatial.distance import cdist ...
Brans Ds's user avatar
  • 4,089
0 votes
1 answer
582 views

Proper similarity measure for clustering

I have problems in finding a proper similarity measure for clustering. I have around 3000 arrays of sets, where each set contains features of certain domain (e.g., number, color, days, alphabets, etc)....
Maggie's user avatar
  • 5,963
0 votes
2 answers
51 views

define multi-dimensional object of a given volume

this question is in theoretical math perspective. In the space S = [-1, 1]^d, given a volume V, can I always define object in S with exactly this volume? also - can I surround any x in S with an ...
MAI's user avatar
  • 1
0 votes
0 answers
2k views

How to convert Euclidean Distance to a percentage confidence?

I have an application doing facial recognition which uses euclidean distance to compare encoded numpy arrays of faces. The algorithm outputs the distance between the two face images as a float value. ...
Fred joe's user avatar
  • 105
0 votes
2 answers
3k views

Calculating the geographic and euclidean distances for TSP in Java

Basically I'm using data from TSPLIB and I have this spec . This is how I calculated the Euclidean distance (according to the above spec): public static double calculateDistance(double x1, double y1, ...
MTA's user avatar
  • 759
-1 votes
1 answer
202 views

How to calculate distance from a player to a dynamic collision point

I'm trying to create sensors for a car to keep track of the distances from the car to the borders of the track. My goal is to have 5 sensors (see image below) and use them to train a machine learning ...
Pedro Renato Mello's user avatar
-1 votes
2 answers
3k views

How to calculate distance between several points simultaneously with Euclidean Distance

I know how to get distance between points, however I want to get distance between 2 objects where each object has several points. (See illustration below.) I want to calculate distance between ...
Rex's user avatar
  • 13