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I'm taking an undergraduate course on Linear Programming and we were asked to solve the following problem using the Simplex Method:$$\max:~Z=3x+2y\\\text{subject to}\begin{cases}x+y\le20\\0\le x\le15\\x+3y\le45\\-3x+5y\le60\\y\text{ unrestricted in sign}\end{cases}$$The standard form of the LPP i...
In mathematical optimization, Dantzig's simplex algorithm (or simplex method) is a popular algorithm for linear programming.The name of the algorithm is derived from the concept of a simplex and was suggested by T. S. Motzkin. Simplices are not actually used in the method, but one interpretation of it is that it operates on simplicial cones, and these become proper simplices with an additional constraint. The simplicial cones in question are the corners (i.e., the neighborhoods of the vertices) of a geometric object called a polytope. The shape of this polytope is defined by the constraints applied...
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Let $K$ be a number field and $I^{S(\frak m)}$ the group generated by the prime ideals of $K$ which don't divide the modulus $\frak m$. Let $K_{\frak m, 1}$ be the set of $a \in K^\times$ such that $\rm{ord}_p(\textit{a} -1) \geq ord_p(\frak m)$ for all finite primes $p$ dividing $\frak m$ and $a_p
Following an earlier discussion I approved a synonym elementary-probability to probability. Likely down the road a merge will happen.
The main reasons are:
we do not separate tags by level, and in this case there even is probability-theory that is an "advanced" tag so that further separation...
