Tagged Questions

Mathematical vectors, operations on vectors and vectorized programming.

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how to do VectorPlot?

I have a problem with VectorPlot for spin current density and I tried it my self but not working. Here is the code according to Jens solution: ...
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Color vectors according to a user-defined function

V[x_,z_]:=x/Sqrt[x^2+z^2]; Ex[x_,z_]=-D[V[x,z],x]; Ez[x_,z_]=-D[V[x,z],z]; The electric field components (Ex,Ez) are to be plotted as a vector field in the x-z ...
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Plotting a parameterized vector in the x-y plane

I am trying to plot the trajectory of a parachutist descending at a constant vertical rate of 8 m/s while a south wind also blows at a rate of 8 m/s. He initially jumps from a height of 300 m. I am ...
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How to I plot a vector and a line on the same graph?

For example I want to plot the vector <7, 20> on the same plot as the line {t, 6t+10}
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How to plot a linear vector tangent to a bezier surface?

I have a bezier surface and its parameters are u and v. The partial differentiation with u as variable gives me a vector in the direction of u. I need to plot this vector. I plugged in a particular ...
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Add a vector to a list of vectors

What is the syntax to add v1 to each vector in v2? I know it has to be simple, but I really have searched and not found it. ...
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Syntax::sntxf: “…” cannot be followed by “…\MatrixForm” [closed]

I'm trying to create a $3\times 1$ matrix named Pauli but I really don't understand what's the problem of the following code? ...
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Finding the attractors of the vector field constructed as the gradient of an interpolated 3D scalar field

I have a list of data existing as {{{x, y, z}, f},...} from which I construct a 3D interpolation function using Interpolation[ ]. I am able to construct a vector field from the gradient of this scalar ...
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random distribution vectors on cube edges

How can I put randomly eight vectors with length b into eight edges of a cube with side of a and specify them with their ...
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How to plot the position vector r(t) = 3 cos(3.3πt)i + (sin(4πt) + 4t)j with t being a min of 0 and max of 1? [closed]

Every time I try using the ParametricPlot, nothing shows up. This is what i've done so far: ParametricPlot[{[3 cos[3.3 πt]], [sin[4 πt] + 4 t]}, {t, 0, 1},
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Find six vectors with rational entries under constraints?

Define six vectors v[i] with i=1,2,3...,6. Each v[i] is six dimensional and all entries in ...
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Linear Fit of multidimensional data

I am trying to find linear decomposition of vector B (of arbitrary dimension $n$) in the form : $B = \alpha_{1} C_{1} + \alpha_{2} C_{2} + ...$ where $C_{i}$ are known vectors (of dimension $n$) ...
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How to detect loops in a vector field?

Given a vector field and I'd like to detect if there are streamlines in closed patterns. For example, if the input is a vector field like this: ...
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Making a list of functions

Suppose I have the following equation system to solve: x(t_):={x1(t),x2(t)}; DSolve[x'(t)==x(t),x(t),t] This code works fine, but now suppose that instead of 2 ...
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Creating a tube with custom caps

I need a tube with only one end capped. I can do this relatively easily with: ...
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How does one define a function that takes vectors as arguments but also derivatives?

Summary: tldr; I just want to implement a version of the following mathematics function: $$f(a) = c_1 e^{-(a - t_1)^2} + c_2 e^{-(a - t_2)^2} + c_3 e^{-(a - t_3)^2}$$ in mathematica, and be able ...
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Transform a vector DE into a set of scalar DEs [closed]

I have the vector equality: {{a,b},{c,d}}.D[{x1[t],x2[t]},t]=={{e,f},{g,h}}.{u1[t],u2[t]} I want to solve this using DSolve. ...
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Transforming an Optimization Problem into a multi-vector Optimization Problem

I am sitting on an MultiAgent optimization problem trying to solve for a quadruple of variables {e,l,b,c} In a single agent (...
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Is it possible that we can use “+” to add two vectors in polar form?

For example, $a=(2,\pi/4)$, $b=(3,\pi/3)$, if we want to get the result of $a+b$, using + operator will not do, because mathematica will ignore the polar form, and ...
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extraction new generated vectors in module with replaced parts

We have four vectors: ...
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vectors constructed with $0,1$ permutation

Our desire is to construct $2^N$ vectors with indices $i=1,..,2^N$ with elements by permutation of $0$ and $1$. For example ($N=3$): We write below code ...
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Designing a loop that fetches 5 random vectors each with 5 components from a set of 10 until Linear dependence is found

I am currently trying to find a way to make a loop that will select 5 random columns without replacement of a 5x10 matrix until it finds a determinant equal to 0 out of the new matrix formed by the 5 ...
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How to solve a system of equations which includes vectors? [duplicate]

I'm starting to wonder if this is something that mathematica just can't do? I thought something like this might work: ...
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Superimposing ListLineIntegralConvolutionPlot with transparent noise over ListContourPlot

I have an array of 128x256 data points in a rectilinear array. For each point there is a 2D vector quantity and a scalar quantity (normalised to -1 <= x <= 1). I very much like the ...
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PolynomialGCD in complex numbers for vector simplification

I wanted to define a function $f(t,\vec{r})=e^{i\omega t-i\vec{k}\cdot\vec{r}}$, and take gradient of it. With, ...
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Defining quantum-mechanical Bra and Ket operations

I have the following ket in the Fock basis: $\vert3, 0 ,1\rangle$, where each entry defines the number of photons in a particular mode and can take any one of the following numbers: 0, 1, 2, 3. As a ...
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Beginner: Iterative Sequence for Vector Function

I want to create an iterative sequence for two Vectorfunctions, where both are dependent on the same variables and i represents the vector. For simplicity let's ...
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How to make Mathematica show matrices and vectors nicely

It shows me like {{0}, {1}, {0}, {-1}} . Is it possible to make it look like a vector, always?
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Referring to the components of a vector within a sum

I feel like I'm missing something obvious here, but.... I'm playing around, trying to do the standard deviation for my stats homework (don't worry, I already worked out the answer by hand), and I ...
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Problem in matrix multiplication

I created a random directed acyclic graph using Mathematica. I need to compute a specific function from its adjacency matrix. ...
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Controlling scaling of multiple vector fields in VectorPlot3D

I'm trying to plot the electric and magnetic fields of a relativistically moving electric charge using VectorPlot3D, and apply "Manipulate" to change the velocity. The code I'm using is as follows: ...
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Find the point of intersection of A,B,C-plane and D1D2-line

The problem. Five points A,B,C,D1 and D2 in R3 are given. (1) Determine whether three points A,B,C are collinear(i.e. lie on the same line). (2) If A,B,C are not collinear, find the plane that ...
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How do I get Mathematica to evaluate symbolic linear algebra [duplicate]

First of all, I am VERY new to Mathematica. That said...I have defined vectors as: e1=2x-y and e2=x+y (x and y are orthonormal). I also defined the dot products of x and y in Mathematica. I want to ...
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Vector Plot of a linearly varying cantilever

I want to drawing with Vector Plot a deflection and slope of a linearly varying cantilever. And with Contour Plot it works but with Vector Plot it didn't. Here is the code: ...
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ParametricPlot3D won't show [closed]

I want to see the image of a tube made from a space curve. I define the surface using Frenet-Serret frame but the software does not show me the plot. What might be wrong with my code? Thank you.
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Error in cross product [closed]

I want to take the cross product of two rather complicated vectors but Mathematica gives me error: Here is the input: The error I get is "The expression pu cannot be used as a part specification." ...
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Define a function of a vector without fully specifying the components of the vector [duplicate]

I have a vector $A=\{1,2,3,4,5,6\}$, and I want to define a function of $A$ as f[A_]:=A.X where $X$ is another vector. I want to define this function without ...
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Vector optimization with vector length as a free variable

I'm trying to solve the following problem: For a vector $v$ of length $c$, $\min \frac{\sum v[i]^4}{(\sum v[i]^2)^2}$ subject to $\sum v[i] = N$. I can solve this numerically for a given $c$ using ...
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How to use DSolve with vectors without decomposing into vector components?

Given a basic, two-dimensional ballistic trajectory problem, I can solve the equations of motion using DSolve (or NDSolve) by ...
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Interpolate a discrete vector field

I have a discrete vector field, from which I want to derive the continuous one. For example, the planar vector field is defined by: ...