Quasi-linkage equilibrium: Difference between revisions

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{{Multiple issues|notability = February 2012|technical = February 2012|unreferenced = January 2012}}
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{{Mergeto|Duality (optimization)|date=March 2012}}
 
In [[applied mathematics]], '''weak duality''' is a concept in [[optimization]] which states that the [[duality gap]] is always greater than or equal to 0. That means the solution to the primal (minimization) problem is ''always'' greater than or equal to the solution to an associated [[dual problem]]. This is opposed to [[strong duality]] which only holds in certain cases.
 
If <math>(x_1,x_2,....,x_n)</math> is a feasible solution for the primal minimization [[linear program]] and <math>(y_1,y_2,....,y_m)</math> is a feasible solution for the dual maximization linear program, then the weak duality theorem can be stated as <math>\sum_{i=1}^m b_i y_i \leq \sum_{j=1}^n c_j x_j</math>, where <math> c_j </math> and <math> b_i </math> are the coefficients of the respective objective functions.
 
More generally, if <math>x</math> is a feasible solution for the primal minimization problem and <math>y</math> is a feasible solution for the dual maximization problem, then weak duality implies <math>g(y) \leq f(x)</math> where <math>f</math> and <math>g</math> are the objective functions for the primal and dual problems respectively.
 
 
[[Category:Mathematical optimization]]
[[Category:Linear programming]]
[[Category:Convex optimization]]
 
 
{{mathapplied-stub}}

Latest revision as of 19:21, 26 July 2014

Set the objective for clothing size, not only goal for weight. Do not step on that sized! Weight is different for everyone. Because everyone may have a different healthy weight, it is not a good idea to attempt a goal that is not always in your own interest. Instead, focus on the clothes size that you prefer to fit into.

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Begin by causing a commitment, a conscious decision, to exercise. An don't let yourself off easy, blaming a "bad mood" some other things. Tell yourself, which you make exercise a habit if you wish to and a person have work in internet marketing. Because it's true.

If you should want start off an effective Muscle Building routine, consider finding a trainer. A trainer assist you you to get and maintain proper form and furthermore introduce a person exercises in which you might not need considered before you start. Find one sign in local gym or YMCA, and use T Rex Muscle their T Rex Muscle Reviews services at least twice 7 days.

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