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1answer
50 views

Graphing a function

A function is defined in a article equation 37, $$A(t)= 0.456+\frac{2.58}{(1+0.136 t)^{0.249}}$$ The simulation of the equation is: But I have tried like by this: ...
3
votes
1answer
669 views

Switching from Mathematica to MATLAB: As a text editor?

I have been using Mathematica for almost a year, and the most indispensable feature in Mathematica to me has been the ability to write really nice documents and print them into PDF or TEX files. In ...
3
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0answers
50 views

How to visualize a function to aid in optimization?

I am working on minimization of a function with more than two parameters. I want to see variations, local extremes, saddle points, etc. of this function to get some idea of how is this function in ...
4
votes
2answers
312 views

Plotting graphs using numerical/mathematica method

From the author's equation 13, 14 We can write by inserting V''(A)=0, Solving for R we get, $$R= \frac{6^{D/4} \sqrt{D}}{\sqrt{-2^{1+\frac{D}{2}} 3^{D/2}+3 2^{1+D} A-3^{1+\frac{D}{2}} A^2}}$$ Now ...
0
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1answer
90 views

Postfix notation in MAPLE

I usually use MATHEMATICA as a computer algebra system and there I heavily employ the postfix notation (achieved by "//" at the end of some command), e.g. ...
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1answer
1k views

Mathematica vs Wolfram Alpha integration results

When I insert the following integration command in wolframalpha: ...
0
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2answers
168 views

Series expansion with remaining $log n$

I'm studying the asymptotic behavior $(n \rightarrow \infty)$ of the following formula, where $k$ is a given constant. $$ \frac{1}{n^{k(k+1)/(2n)}(2kn−k(1+k) \ln n)^2}$$ I'm trying to do a series ...
0
votes
2answers
183 views

WolframAlpha functionality: Computing nested integrals

Can wolframpalpha support the numerical calculation of the following type: $$ \int_{x=0}^\infty f(x) e^{\int_{z=0}^\infty g(x,z)dz} dx $$ Note that the inside integral is in such form where ...
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0answers
46 views

What are the available libraries or programs for finding extremes of a function with no symbolic definition?

In my current mathematical inquiry, I would like to gain insight on behaviour of a $d$-dimensional continuous function by locating its maximum over the hyperplane $\sum_{i=1}^d x_i = 1$ for $x_i$ non-...
1
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1answer
109 views

Help calculating variance of a random variable

This is related to this question Average end point of 1-dimensional random walk? Given several discrete random variables such that $p(Z_i=1-2k)=p$, where $k$ is a small real number, and $p(Z_i=-1)=1-...
1
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1answer
403 views

find minimum of a function defined by integration in Mathematica

I need to find the minimum of a function $f(t) = \int_0^1\!g(t,x)\,dx$. What I did in mathematica is as follows: ...
0
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1answer
50 views

Is there a closed-form expression that allows me to triangulate a point in 2D?

Please consider the case where I have three points on a 2D plane - $(p_1, p_2, p_3)$ - and a third point, $p_0$, at some unknown position $(x_0,y_0)$. However, I know that $p_0$ is a distance $d_1$ ...
0
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1answer
112 views

Is it possible to guess n-th term of given number sequence?

Consider if we have number sequence e.g. $\left\{ 1, 6, 62, 344, ... \right\}$ I'd like to ask if is it possible to compute or estimate form of $n$-th element of this series. Is it possible with ...
1
vote
1answer
123 views

Mathematica and Vector Representation of Planes

If the vectors $\vec{u}$ and $\vec{v}$ emanate from a point $A$, then its equation is $\hspace{2in}$$x = A + su + tv$, where $s, t \in \mathbb{R}$. I'm wondering how I can display these planes in ...
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1answer
2k views

How to make simple iteration in Mathematica

How to make simple iteration in Mathematica for this three equations and save $q$ for each step. If we define $q'=dq/dx$, $q''=dq'/dx$ we have two equations (1) $q''[j+1]=a_1(q[j+1]-q[j])-a_3q'[j]-...
31
votes
3answers
698 views

Do we really know the reliability of PrimeQ[n] (for $n>10^{16}$)?

The algorithm Mathematica uses for its PrimeQ function is described on MathWorld. That web page says PrimeQ uses, "the multiple ...
0
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1answer
459 views

Finding roots of $e^x\sin^2(x)-\cos(x)=0$ using Mathematica

$$e^x\sin^2(x)-\cos(x)=0$$ I'm trying to find 5 roots of this equation but mathematica keeps giving me back an error saying $\sin^2$ is not a well-formed equation. Thanks, Joe
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1answer
60 views

Simplifying equation from an aggregate one

I have got the 4th order coefficient of $\epsilon$ from the equation (9) from the paper. I got : $$\phi_4+ \ddot \phi_4+\omega_2 \ddot \phi_2 - \Delta \phi_2+g_2 \phi_2^2+2 \phi_1 \phi_3+ 3g_3 \...
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2answers
143 views

Mathematica returns wrong limit

I just started limits as part of my calculus class, and I have a simple limit to evaluate, $\mathop{\lim}\limits_{x \to 1}~f(x)$ . I found the limit to be 2 using the $f(x)=\mathop{\lim}\limits_{h \to ...
1
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2answers
49 views

Solving for x. Do I require iterations?

I have the following expression (used in a computer program): $$f(x)=b^{{k}^{ax}}$$ where $k$ is a constant and $a$ and $b$ are given. I need to calculate the distance from this curve to a point $P: (...
9
votes
2answers
17k views

How to plot vectors in Mathematica

I am trying to plot vectors in mathematica, some 2d and some 3d. Is there a way to do this? I Need the coordinate axes and an arrow head on a line basically. Thanks, Blake
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4answers
4k views

Copy LaTex equations from Mathematica to Word directly?

Is it possible to use command copy as latex equations directly from mathematica file and paste in Word equation editor 2007/2010. Not to save like .pdf or .jpg! Alternative for web2tex or just this? ...
0
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1answer
1k views

WolframAlfa/Mathematica how to find function local maximum on interval

I have a polynomial function and i want to find it's minimum and maximum on a the interval [0, 5] with Wolfram Alphaa but i forgot the proper input. I recall it went something like so: $x^4 + x^3 + x^...
2
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0answers
318 views

$\int^{\infty}_{0}x^{r +s- 1}(1 + x)^{-s}(1 + x^2)^{-\frac{rm}{2}}dx$

I'm trying to solve the integral $\int^{\infty}_{0}x^{r +s- 1}(1 + x)^{-s}(1 + x^2)^{-\frac{rm}{2}}dx$, where $s$, $r$ and $m$>1 are positive integers. My question is whether a closed form ...
1
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1answer
120 views

Matrix solving problem

Hi there math experts. I have the following matrix: $$ \begin{equation} \begin{pmatrix} -1x & 0y & 0 & 0 & 0.004 & 0\\ -1x & -1y & 0 & 0 & 0.001 & 0 \end{...
2
votes
2answers
868 views

Comparing integral resolutions using Wolfram Alpha / Mathematica

Equations are in $\LaTeX$ format; I'm still trying to understand how MathJax works. Given the following integral: $\int_0^{+\infty } \frac{1}{x \sqrt{x}} \, dx$ I'm pretty sure that does not ...
0
votes
1answer
225 views

Relative error plot in mathematica

I was plotting the relative error of the $e^{11/12 -n}n^{n+1/2}$ approximation to the factorial as $n$ gets larger and larger and at after some very large value of $n$ mathematica gives this plot: ...
2
votes
3answers
11k views

Mathematica's “Solve” and filtering out the one real (non-complex) solution

I have some functionals that have lots of parameters, but all are volume integrals (not really important...) It's a variational function I'm minimizing and I'm only keeping the real solution (because ...
2
votes
1answer
1k views

Automatic calculation of the intersection of discrete curves

first of all, let me apologize for a poor math-english translation, I'll try my very best. I have the following situation: I have over 16.000 data files which I generated from a biometric ...
4
votes
1answer
3k views

What are the Wolfram Mathematica NDSolve function methods?

What are the Wolfram Mathematica NDSolve function methods? I know that in Wolfram Mathematica I can specify solving method in NDSolve function, but I can't find a full list of available methods in ...
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2answers
149 views

Unexpected results when integrating definite integral with variable bounds

When I plug something like this into Mathematica: $$\int_0^{x^2-1} k y \, dy$$ I get exactly what I would expect: $$\frac{k}2 (x^2-1)^2 $$ However, when I change my bounds ever so slightly, from $...
1
vote
1answer
226 views

Solve autonomous ODE with Mathematica

I'm given a problem with the ODE y'[x]=y[x]*Sqrt[4-2y[x]] I've tried DSolve[{w'[x] == w[x]*Sqrt[4 - 2*w[x]]}, w[x], x] which gives me {{w[x] -> -2 (-1 + Tanh[1/2 (-2 x - Sqrt[2] C[1])]^2)}} but ...
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2answers
3k views

How to solve transcendental equations with Mathematica 7?

I want to solve transcendental equations by Mathematica 7. Solve does not help me, reduce - as well. Seams that I shoulkd use FindRoot, but it does not give all solutions. It gives only one solution. ...
2
votes
3answers
54 views

A way to identify a unique number '$a_1$' has performed operations on '$x$'

The problem I have is bit vague, so I will try to explain as best as I can. Suppose we have a base number '$x$' and a set of unique number $'a_1', 'a_2', 'a_3', 'a_4'$ and so on Now $a_1$ perform ...
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5answers
635 views

Cryptography in Maple and Mathematica

Is Maple or Mathematica preffered over the other for Cryptography/Number Theory? What are the advantages for each in terms of this area of mathematics? Also could someone compare and contrast ...
3
votes
1answer
817 views

Solution to a second order semilinear elliptic PDE

I am trying to find a solution (if one exists) to this PDE where (r,z) are cylindrical coordinates. $$u_{rr}+u_{zz}+u_{r}/r-u/r^2 = u^2u_{r}/r+u(u_{r})^2+u(u_z)^2$$ u is a dimensionless function (...
2
votes
1answer
234 views

Two questions on integration of $\operatorname{sech}x$, one with Mathematica

So I have a two fold question, one I believe is simple but my algebra seems to be off, the other involves the trapezoidal rule of integration using Mathematica as an aid. Here they are: $1.\quad \...
1
vote
1answer
2k views

Help with the Neumann boundary conditions

The Mathematica code is here. Consider the heat conduction problem with Neumann (constant flux) at both boundaries of a solid slab. A constant radiant heat flux is imposed on one surface (derivative =...
1
vote
1answer
1k views

Existence of non-trivial solution of Sylvester equation.

I'm trying to solve a special case of Sylvester equation in my case it looks like $$A*X=X*B$$ so it can be written in form $$A*X+X*(-B)=C$$ where C consist of all 0 items. I tried to solve it in ...
6
votes
3answers
399 views

Computer Algebra Systems which implement Cylindrical Algebraic Decomposition

My understanding is that Mathematica's Reduce function is based on Cylindrical Algebraic Decomposition (CAD). The only other system I've seen which implements CAD ...
0
votes
1answer
168 views

Using a Bivariate Gaussian Distribution to Predict Range of Movement

I am currently attempting to use a bivariate normal distribution to identify the most likely range of movement for a blob in computer vision. This itself is not the problem, however; I do not ...
2
votes
1answer
428 views

Closed form with of a series Mathematica

I've these two series, and I would like a closed form: $$ \sum_{k=-\infty}^{\infty} \frac{x+kx_0-h}{|x+kx_0|^3}$$ $$ 3\sum_{k=-\infty}^{\infty} \frac{(x+kx_0-h)(x+kx_0)^2}{|x+kx_0|^5} $$ ...
3
votes
0answers
145 views

Perturbation problem

This is a mathematica exercise that I have to do, where $y(x) = x - \epsilon \sin(2y)$ and it wants me to express the solution $y$ of the equation as a power series in $ \epsilon$.
5
votes
4answers
13k views

How do I convert the distance between two lat/long points into feet/meters?

I've been reading around the net and everything I find is really confusing. I just need a formula that will get me 95% there. I have a tool that outputs the distance between two lat/long points. <...
0
votes
1answer
161 views

Euler's Numerical method help

Consider this differential equation, $dy/dx = x + \sin(y)$ with initial condition $y = 0.5$ when $x = 1.2$: Write down the recurrence relation for Euler's numerical method applied ...
3
votes
1answer
768 views

Method For Constructing Self Referential Formulas Like Tupper's

Can anyone please explain exactly how formulas like Tupper's self referential formula can be constructed? I'll like to see the reasoning behind the derivation of such formulas and the steps required ...
1
vote
1answer
186 views

Expanding squares and simplification of equations

as i'm reading a paper "An Underdetermined Linear System for GPS" By Dan Kalman i understand the paper but when i traced the equations there's something i don't understand ,may be my mathematics is ...
0
votes
2answers
267 views

Integrating with vector coefficients in Maple

I'm trying to use Maple to do something like this integral: $\displaystyle\int \frac{a\mu-b}{||a\mu-b||^3} \mathrm{d}\mu$ Where $a, b$ are vectors and $\mu$ is a scalar I'm integrating by. But I ...
0
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1answer
70 views

What is Mathematica option to check whether trigonometric equality is true or false?

What is the TrueQ analog that recognizes trigonometric equalities?
0
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1answer
134 views

How to find a parametrization of a equation and to draw its picture.

I was wondering how to find a parametrization of $(x-t)^2+(y-t^2)^2-t^2=0$, and how to use a software like Mathematica to draw a picture of this equation based on the parametrization. Thanks in ...