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-1
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0answers
22 views

How to find the real values of the parameter a, so that the inequation doesn't have positive solutions? [migrated]

The inequation is the following: (x^2 - 6ax + 2x - 5a - 1) / (x+a+1) < 0 If we write this inequation like a/b <0, I may say that for a=0, I found that X1=3a -1-sqrt(9a^2-a+2) X2=3a ...
0
votes
0answers
24 views

Making the inequality constraints using NMinimize a convex function [closed]

While performing minimization using NMinimize, my constraint equation has the inequality $0 \leqslant x \leqslant 1 $ due to which my function is not minimized properly. In spirit of the answer to ...
1
vote
1answer
99 views

Wrong root when using numerical values

I have the following inequality: $$ \sqrt{\frac{a}{2x}}+ \frac{b}{1-\frac{a}{a+\sqrt{a(2bx + a)}}} + \frac{a}{2x\frac{a}{a+\sqrt{a(2bx + a)}}\left(1-\frac{a}{a+\sqrt{a(2bx + a)}}\right)} < f $$ on ...
0
votes
0answers
23 views

Tips on finessing Reduce[] with inequalities

Reduce[] sometimes solves inequalities I give it, sometimes it doesn't. Is there some general principles I'm missing or some common pitfalls I'm falling into? For example, here is easy problem I ...
0
votes
1answer
87 views

Check an inequality if one condition holds

A = Abs[-1 + 1/(1 + β)] + Abs[-((1 + 2 α + Sqrt[1 + 4 α + 4 α β])/(2 α + 2 α β))] Is A <1 if ...
4
votes
1answer
87 views

How to reduce/simplify an inequality involving Abs[]?

Can Mathematica reduce this inequality into a domain of z, where {z, r1, ...
3
votes
1answer
76 views

Using TrueQ with conditions

Say I want to ask Mathematica whether $|x| = x$ for all $x > 0$. Obviously, if I try TrueQ[Abs[x] == x], I get False, ...
0
votes
1answer
45 views

Plot absolute value inequalities - number line

I'd like to ask you about the way to draw the number line for absolute value inequalities. Is there any built-in tool? In this case the input was $|x-6| > 3$. My point is to achieve something ...
0
votes
2answers
46 views

Evaluating a list of inequalities with random numbers [closed]

I have a list of inequalities, which include in total four parameters, that I would like to test by feeding the four parameters with random numbers. The goal is to find the best values of the ...
8
votes
3answers
382 views

Shading a region where an inequality is satisfied

I'm creating solution sets for a calculus course and need to shade the region in $\mathbb R^2$ such that $x^2 < y < x^4$. This is what I have so far: ...
0
votes
1answer
99 views

Reduction of an Inequality in $\mathbb{C}$

Reduce[ Abs[-((4 p)/(-1 + Sqrt[1 + 4 p + 4 q])^2)] + Abs[-((4 q)/(-1 + Sqrt[1 + 4 p + 4 q])^2)] < 1 , Abs[p]] It is taking lot of time. It is running. Can ...
1
vote
0answers
64 views

Simplify Integer powers in inequalities

I have a fairly simple expression that I am surprised Mathematica (10.1) won't simplify ...
2
votes
1answer
114 views

Solve an inequality involving a sum with a parameter

Good day. I am new to Mathematica and I am looking for advice. Is it possible to solve $$\sum_{k=0}^{n} \frac{p^k}{k!}>0$$ for $n$ where $p$ is a parameter? When I do ...
0
votes
0answers
37 views

Need help with solving inequality under assumptions [duplicate]

I seriously need help for my research. I need to solve an inequality with several assumptions. I tried many times with Reduce but it did not work out properly. Sometimes the results I get are simply ...
1
vote
1answer
90 views

Reduce with for all and implies

I have the following question. p1 = a (1 - c + a) p2 = b (1 - c - b)/((1 - b)^2) v1 = (x^1.5 - 3*x)*p1 v2 = x*p2 I want to find x ranges which makes v1>v2 under ...
-1
votes
1answer
73 views

Find a minimum value which satisfies an equation

I have to find a minimum value of "a" which makes x=-a+b+c, y=-a+b+c^2 positive where a>1, 0 ...
0
votes
1answer
52 views

Trouble in finding instances of values of variables that satisfy an inequality

Consider the following mathematical expression with complex numbers (phasor) and two variables (lambda and ia2): ...
4
votes
1answer
159 views

How to solve a conditional inequality?

I am trying to use Mathematica to solve a conditional inequality. Find all (real) numbers $a$ and $b$ such that $|a| + |b| \ge 2/ \sqrt{3}$ and for any real $x$ the inequality $ |a\sin x + b \sin ...
4
votes
1answer
172 views

Does `Reduce` give complete and necessary conditions?

I want to obtain a solution for a system of five inequalities. For instance, ...
6
votes
1answer
81 views

How to simplify expressions by closing open inequalities?

Recently I have often acquired results which consist of combinations of 0, 1 and 2-dimensional (in)equalities. For instance, consider a very simple case with ineq1 ...
1
vote
0answers
47 views

Inequality involving Quantity stays unevaluated

Mathematica 10.1.0, Windows 8.1 x64 An expression like this one a < x < b is represented as Less[a, x, b] while ...
3
votes
4answers
146 views

Find the volume of the region defined by $|x|+|y|+|z|<4$

I want to find the volume of the region defined by the following inequality: $\quad \quad |x|+|y|+|z|<4$ In addition to calculating the volume of this region, I would also like to be able to ...
1
vote
0answers
53 views

How to speed up geometric Resolve query involving $\exists$ and $\forall$?

I would want to test connectedness of semialgebraic sets with naive code like this: ...
4
votes
1answer
260 views

How to draw a tropical surface?

By definition, a tropical surface in $\mathbb R^3$ is the set of points $(x,y,z)$ where the maximum $f=\max(f_1,f_2,\dots,f_n)$ is attained at least twice, here $f_i$ stand for some linear functions ...
0
votes
2answers
66 views

Proving simple inequality

I have a simple function and want to make sure that it satisfies an inequality over a certain range of parameters. My approach is: ...
0
votes
3answers
109 views

Filtering the output from Table and export it into excel

I have the following functions ...
5
votes
2answers
366 views

Is there an inequality operator (Less, Greater) for lists of elements (as opposed to elements)?

Like multi-column sorting. For example, {1,3,5} > {1,2,5} would return True, while ...
2
votes
2answers
70 views

Reduce and roots of an irrational inequality

I use command Reduce to solve an inequality. First, I used Reduce[Sqrt[4 x + 5] - Sqrt[-6 x + 10] <= Sqrt[2 x - 1], x] and ...
1
vote
1answer
87 views

Replacing Logic operator List and generate combination of variables

so I'm trying to do the following starting from a list of inequalities: ...
2
votes
0answers
131 views

Proving large inequality in 6 variables

I have arrived at a very large inequality in 6 variables that I would like to prove is true. The command I have tried is the following: ...
3
votes
0answers
107 views

cut and project tilings — Amman Beenker tilings

A certain research paper gives a recipe for building Amman-Beenker tilings as a special type of cut-and-project algorithm. The result is usually a pleasant kind of aperiodic tiling shape. The ...
1
vote
1answer
129 views
7
votes
0answers
133 views

How does Mathematica resolve symbolic systems of inequalities?

Before getting into my question, let me provide some context: I recently started using Mathematica to automatically perform stability analyses that I previously did by hand. A major part of the ...
1
vote
0answers
52 views

Simplifying an inequality inside an answer by parts

I have the following piece of code where I'm evaluating a probability of a variable v being greater than some threshold under a Uniform distribution. ...
0
votes
2answers
78 views

Why Mathematica cannot tell if Sqrt[Abs[u0^2 + v0^2/b^2]] is positive?

In the code below I was careful to declare all variables as real and to use Refine. Still, Mathematica cannot tell that a sum of squares is a positive number. What am I missing? Thanks to ...
3
votes
4answers
412 views

Solving puzzles with Mathematica

I would like to be able to solve logic puzzles such as the one described here using Mathematica. I have copied & pasted the listed example below to save on jumping about with hyperlinks: The ...
2
votes
3answers
113 views

Remove all “not equal” clauses from an expression

I am banging my head against the following question: how can I have Mathematica take cond = 2 a >= 3 b && 70 a >= 19 && 20 a != 13; and ...
2
votes
2answers
330 views

Given a system of inequalities, how to make Solve find out that two variables should be equal?

Given two boolean variables x1 and x2 (in the sense that they are in the range [0,1]), if I try to solve the following equation system with Solve: ...
1
vote
1answer
168 views
4
votes
1answer
651 views

How to find the integer solution number of a linear system with inequalities?

I have the following system with mixed equality and inequalities defined as: ...
6
votes
3answers
411 views

How to count the integer grid numbers defined by inequalities?

I have the following code to show a red area defined by inequalities: ...
4
votes
3answers
194 views

Regarding how to use Reduce

Say for example I am doing the following in Mathematica ...
0
votes
1answer
279 views

Finding maximum/minimum value of system of inequalites

How would I get the maximum values for x1 and x2 given that I have plotted the region governed by the following system of ...
5
votes
1answer
114 views

Is there a way to check inequalities in Mathematica given restrictions?

Sorry if I'm still a noob, but is there a way to check inequalities in mathematica given some restrictions? For example how could one go about checking whether: Given $a,b,c\in\mathbb{R}$ and ...