All Questions
Tagged with mathematica inequality
15
questions
1
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0
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85
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Minimizing $\frac{1-c}{1-\frac{(a-b)^3}{(1-a)^2} - \frac{(b-c)^3}{(a-b)^2} - \frac{c^3}{b^2}}$
I am interested in approximating the minimum of
$$\dfrac{1-c}{1-\dfrac{(a-b)^3}{(1-a)^2} - \dfrac{(b-c)^3}{(a-b)^2} - \dfrac{c^3}{b^2}}$$
Subject to $0 < \frac{a-b}{1-a} < \frac{b-c}{a-b} < \...
- 2,457
0
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0
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59
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What does the rectangular symbol means in mathematica??
I was solving a problem related to inequality and there I get this root but I didn't get what does this rectangular symbol means ?
The code for the mathematica is --
...
1
vote
1
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73
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Solving inequality, but graphing/mathematica gives a completely different answer
I have the following inequality problem, where I'm trying to solve for $\mu$. Here is the inequality:
$$\frac{1}{2} \left(-\sqrt{(c+d+\theta -\mu +1)^2+4 (c \theta -\theta \mu )}+c+d+\theta -\mu +1\...
- 31
1
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0
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72
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Is it possible to solve this inequality?
I need to solve this inequality for $j$ and I am having a hard time. I also tried to use Mathematica but it did not work.
Do you have any idea of how to proceed? Any tips on the procedure is very ...
1
vote
1
answer
71
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Is there a systematic way to derive constraints in a system of equations?
I have this system of equations:
$x_1 = y_1+ y_2+ y_3$
$x_2 = y_1- y_2$
$x_3 = y_1 + y_2 - 2y_3$
And I have these constraints:
$y_1 \geq y_2 \geq 0 \geq y_3$
From the constraints I can derive ...
- 646
0
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1
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41
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Using Mathematica to show that a transformation is a relaxed cocoercive
I have a problem that I can't solve because I've just started using mathematica and matlab programs:
$\mathbb{R}^2$ is Hibert space endowed with the norm$$\left\Vert x\right\Vert = \left\Vert x_{1},...
- 1
-4
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1
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140
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Why Is f'(x)>0 When f''(x)>0 [duplicate]
Why is $f'(x)>0$ when $f''(x)>0$ on the inequality $\mathrm{e}^x>1+x+\frac{x^2}{2}$ when $x>0$? $f''(x)$ determines the concave of the inequality. When a curve is concave up, it can either ...
- 27
6
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1
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234
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Algorithm to solve a system of linear inequalities over the natural numbers
I am looking for an algorithm to solve a system of linear inequalities of the form
$$A\,\vec n + \vec c \;\geq\; 0$$
for $\vec n$ where $A$ is a matrix of integers, $\vec c$ consists of integers and ...
- 61
1
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1
answer
63
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If $p^{r + 1} - 1 > 5(p^r - 1)$, then is there a lower bound for $p$ and $r$?
If $$p^{r + 1} - 1 > 5(p^r - 1),$$ then is there a lower bound for $p$ (e.g., in terms of $r$) and $r$ (e.g., in terms of $p$)? Here, $p>1$ and $r \geq 1$.
I tried using WolframAlpha, but I do ...
- 8,010
2
votes
1
answer
161
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How to prove an inequality or read Mathematica's proof
Given $0 < \alpha_1, \alpha_2 <1$ and $1/2 < p <1$, how to prove that the following expression is always non-negative?
\begin{align*}
(1 - \alpha_2)^2 p^2 (2 p -1) +
\alpha_1^2 \, p\, \...
- 31
3
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0
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63
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Is this system of inequalities (and equality) tractable?
I have some real parameters here. The $\mu_i$ - for $i=1,2,3,4,5$ - are 'convex coefficents' in that $\mu_i\geq 0$ and $\sum_{i}\mu_i=1$. The $x$ and $z$ are such that $x^2+z^2\leq 1$.
The ...
- 7,789
2
votes
0
answers
84
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Finding feasible solution of inequalities in math software
I have a Math problem where I have some true statements, and I want to know if there is a feasible solution to an equation. I would like to know how to do that in either Matlab or Mathematica.
The ...
- 153
6
votes
3
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168
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Find min of $\frac{\left( \sum kx_k \right) \left( \sum x^2_k \right)}{\left( \sum x_k \right)^3}$
With $n \ge 2$ and $x_1,\ x_2,\ \dots,\ x_n > 0$. Find the minimum of:
$$ M = \frac{(x_1 + 2 x_2 + ...+ nx_n)( x^2_1 + x^2_2 +...+x^2_n)} {\left( x_1 + x_2 +...+ x_n \right)^3}$$
For specific $n$, ...
- 2,977
1
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1
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54
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inequality, complex number [closed]
let $b>0$, $y:[0,b]\rightarrow\mathbb{C}$ and $y(0)=0$, where $\mathbb{C}$ denotes the space of complex numbers.
Is the following inequality true or not?
$$|y(x)|\le \max_{\tau\in[0,b]} |y'(\tau)| ...
- 1,348
5
votes
1
answer
3k
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Why Mathematica (Reduce) can't find clear solution for almost trivial inequalities?
Suppose we want to solve the inequality $ax^2+bx+c<0$. For simplicity, presume that $a>0$ and $b^2-4ac>0$. In this form, this is almost a trivial problem. Despite that, if we want to solve it ...
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