Intereting Posts

Topology Exercises Books
Inequivalent Hilbert norms on given vector space
Am I wrong in thinking that $e^{i \pi} = -1$ is hardly remarkable?
How is the Lagrangian related to the perturbation function?
Continuity and sequential continuity
An obvious pattern to $i\uparrow\uparrow n$ that is eluding us all?
Change of coordinate codomain from $$ to $$
Ellipses given focus and two points
Find the angle ADE of the given triangle.
Show that $f$ is a polynomial of degree $\le n$
If $\models \phi \supset \psi$, then there is a propositional variable variable $p$ that occurs in both $\phi$ and $\psi$.
Is the set of all probability measures weak*-closed?
Relationship among the function spaces $C_c^\infty(\Omega)$, $C_c^\infty(\overline{\Omega})$ and $C_c^\infty(\Bbb{R}^d)$
Prove that projection operator is non-expansive
$\alpha=(714)(3925)$ Find $\beta \in S_9$ so $\beta^5=\alpha$

How should we deal with strict inequalities in a linear programming problem? For example:

inequalities such as $ax< b$;

- Is there an effective algorithm to solve this binary integer linear programming?
- Multiple solutions for both primal and dual
- Why do we need to check both primal and dual feasibility in LP programs?
- Why maximum/minimum of linear programming occurs at a vertex?
- Which optimization class does the following problem falls into (LP, MIP, CP..) and which solver to use
- Prove that an edge of a polyhedron is a line segment

- Optimization of $2x+3y+z$ under the constraint $x^2+ y^2+ z^2= 1$
- If $A+B+C+D+E = 540^\circ$ what is $\min (\cos A+\cos B+\cos C+\cos D+\cos E)$?
- Find vector that maximizes $f(x) = 2x_1^2+2x_2^2-x_3^3+2x_1x_2$
- L1 regularized unconstrained optimization problem
- Simple question: the double supremum
- A System of Matrix Equations (2 Riccati, 1 Lyapunov)
- Maximum of product of numbers when the sum is fixed
- vertex cover , linear program extreme point
- Heuristics for topological sort
- How to maximize area of two circles inside a rectangle without overlapping?

In general strict inequalities are not treated in linear programming problems, since the solution is not guaranteed to exist on corner points.

Consider the $1$-variable LPP: $Max$ $x$ subject to $x<3$. Now there does not exist any value of $x$ for which maximum is achieved and which lies in the feasible region.

- Prove by contradiction that $\forall x,y \in \Bbb Z: x^2-4y \ne 2$
- Rational solutions of $x^3+y^3=2$
- How to change variables in a surface integral without parametrizing
- Sign of Laplacian at critical points of $\mathbb R^n$
- eigen decomposition of an interesting matrix
- How to show that the nth power of a $nxn$ nilpotent matrix equals to zero $A^n=0$
- a simple recurrence problem
- Show that $\int_1^{\infty } \frac{(\ln x)^2}{x^2+x+1} \, dx = \frac{8 \pi ^3}{81 \sqrt{3}}$
- Why teach linear algebra before abstract algebra?
- Understanding induced representations
- Question on Good Pairs
- Probability of picking all elements in a set
- Vandermonde's Identity: How to find a closed formula for the given summation
- Resources for a curious beginner mathematician
- What method would you go through to find an $n$ such that $\phi(n)=100$?