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0
votes
1answer
40 views

Count intersections of two non-polynomial functions [duplicate]

I have two Bessel functions, and I need to be able to count the number of intersections if both functions are plotted dependent upon the same variable. I can use FindRoot or FindInstance to get one ...
1
vote
1answer
113 views

Basis for the intersection of vector spaces

The MuPAD Notebook Interface provides the linalg::intBasis function: http://www.mathworks.com/help/symbolic/mupad_ref/linalg-intbasis.html How can I get the same ...
5
votes
3answers
95 views

GraphIntersection Problem

I Have a problem when plotting 2 functions. I want to find out where the two graphs intersect eachother. That said, I want the coordinates (x, y) of the point. ...
1
vote
1answer
88 views

how to find the vector intersection in a collection of triangulated 3D points?

I'm trying to calculate the 3D point coordinates for the intersection of a vector with a plane. I have been using the following code to do this: ...
12
votes
4answers
402 views

Find intersecting rectangles groups

I've a list of rectangles in the form {index, {centerX, centerY}, {width, height}} I want to find intersecting rectangles list. I want to obtain a list on the ...
29
votes
6answers
1k views

Finding length of intersection of two surfaces

I would like to know how we find the length of the intersection of two surfaces. For instance, in the following example,a surface intersects with a plane: How do we find the length of intersection ...
7
votes
4answers
618 views

How many times do the two given curves intersect at the origin?

I'm reading/studying on my own a book about algebraic curves. I'm trying to find a way for Mathematica help me with the following (the book, ISBN: 038731802X, allows me to use any CAS / program. ...
6
votes
2answers
133 views

Intersection of lists of disjoint intervals

Here is my problem: I have two very large lists of intervals (stored as many couples in the form {{"start point", "end point"}, ..., {"start point", "end point"}), ...
1
vote
1answer
117 views

how to find intersection between a parametric trajectoy and a point

I'have a 2d-system of differential equations, analitycally solved, depending on a parameter. I know that, by continuity, there exist a minimum value of the parameter such that trajectory passes ...
5
votes
1answer
235 views

Difference (or intersection) of two convex polyhedra

I have two convex polyhedra stored in the following form: a set of vertices vertices = {{x1,y1,z1},...}, a set of faces, where each face is a convex polygon ...
8
votes
5answers
910 views

Find intersection of pairs of straight lines

I have a list of 24 points, in which 2 consecutive points (1st and 2nd, 3rd and 4th, ...) are supposed to form a line. ...
8
votes
2answers
309 views

Finding all sets of elements with two common elements in a large dataset

I have a very large network of atoms ($\approx 10^6$ atoms) with fixed positions that resemble a cellular structure: I have two files including: fixed locations of each atom set of points which ...
34
votes
0answers
464 views

Is this the most effective and efficient programming style for prototyping (a ray tracer) in Mathematica?

I am trying out Mathematica as a prototyping tool. As an initial exercise I have put together a brute force ray tracer, with a view to using Mathematica's built in probability distribution functions ...
2
votes
2answers
110 views

Finding the intersection of curves in a one-parameter family [closed]

I have a function f[c_] := y^2 - 2 x^2 (x + 3) == c ((y + 1)^2 (y + 9) - x^2) I need to find the points of intersection between the plots of f[0] and f[2]. How ...
0
votes
1answer
75 views

Finding intersection and graphing

1) How do I find the intersection of f[c_] := y^2 - 2 x^2 (x + 3) == c ((y + 1)^2 (y + 9) - x^2) between the plots of f[0] and f[2] I tried plugging-in numbers. ...
1
vote
2answers
106 views

Controlling what is plotted in a multi-curve plot

My question is on trying to cut off certain plots within a Plot with multiple expressions being plotted. I want to be able to stop the two dashed-line plots at ...
1
vote
1answer
162 views

Computing intersections between a large number of sets: doing it sequentially vs. sending everything to Intersection[…]

Say we want to compute the largest common subset among a very large number of sets $Q_i$. One option would be to simply run the command: ...
-6
votes
1answer
130 views

Poincaré section for 3BP

I try to plot the Poincaré section for the 3BP i use the following code that works very well: ...
1
vote
2answers
197 views

intersection between function and plane

I try to solve a ODE system of equations and i want to plot the intersection of the 3D solutions with a costant plane. To do this i use the follow code: ...
2
votes
1answer
89 views

Intersection does not take list of lists

The function Intersection takes a number of lists (sets) and finds their intersection. However, the precise input is ...
1
vote
1answer
243 views

Finding intersection of 3D lines

I want to find the intersection of 3D line. I want to detect the 3D light source position by intersecting 3D lines. ...
0
votes
0answers
160 views

Trace of intersecting planes

I have a set of curved planes that intersect each other. I only want all the parts of all planes displayed that are above the intersecting traces. Further, I would like to highlight the intersecting ...
19
votes
5answers
478 views

How to split list into disjoint lists?

I wonder if there is any simple way to split a list into its disjoint sublists, e.g. from list={{a,b},{e,f},{b,c},{c,d},{f,g,h}} get a result ...
1
vote
1answer
162 views

Complex surface: Finding the perimeter of the union of multiple disc intersections

Consider a system of $N$ circles($N>40$) Each of radius $5$ and the center of these circles along a circle at origin of radius $3$ [as given in code]. Code for above description :- ...