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"Problem 15114". Educational Times. 55. Ion Ionescu, Romanian Mathematical Gazette, Volume XXXII (September 15, 1926 - August 15, 1927), page 120; Arthur Lohwater (1982). "Introduction to Inequalities". Online e-book in PDF format. "Who was Alfred Nesbitt, the eponym of Nesbitt inequality".
The feasible regions of linear programming are defined by a set of inequalities. In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. [1] It is used most often to compare two numbers on the number line by their size.
When the field K is taken to be complex numbers C and the quadratic form z 2, then four composition algebras over C are C itself, the bicomplex numbers, the biquaternions (isomorphic to the 2 × 2 complex matrix ring M(2, C)), and the bioctonions C ⊗ O, which are also called complex octonions.
The closely related Dido's problem asks for a region of the maximal area bounded by a straight line and a curvilinear arc whose endpoints belong to that line. It is named after Dido, the legendary founder and first queen of Carthage. The solution to the isoperimetric problem is given by a circle and was known already in Ancient Greece. However ...
The problem is rather easily solved once the concepts and perspectives are made clear. There are three parties involved, S, P, and O. S knows the sum X+Y, P knows the product X·Y, and the observer O knows nothing more than the original problem statement. All three parties keep the same information but interpret it differently.