extraneous solution - ορισμός. Τι είναι το extraneous solution
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Τι (ποιος) είναι extraneous solution - ορισμός

MATHEMATICAL SOLUTION
Generalized solution; Generalised solution; Distributional solution

Extraneous and missing solutions         
Extraneous solution; Missing solution; Spurious solution
In mathematics, an extraneous solution (or spurious solution) is a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem. A missing solution is a solution that is a valid solution to the problem, but disappeared during the process of solving the problem.
Ringer's solution         
  • Ringer's solution
ELECTROLYTE SOLUTION FOR USE IN HEALTHCARE
Ringer's Solution; Ringer solution; Ringers solution; Ringer's fluid
Ringer's solution is a solution of several salts dissolved in water for the purpose of creating an isotonic solution relative to the body fluids of an animal. Ringer's solution typically contains sodium chloride, potassium chloride, calcium chloride and sodium bicarbonate, with the last used to balance the pH.
The Airzone Solution         
1993 FILM BY BILL BAGGS
The AirZone Solution?; Airzone Solution
The Airzone Solution (stylized as The AirZone Solution?), is a 1993 British sci-fi-thriller film, produced by BBV.

Βικιπαίδεια

Weak solution

In mathematics, a weak solution (also called a generalized solution) to an ordinary or partial differential equation is a function for which the derivatives may not all exist but which is nonetheless deemed to satisfy the equation in some precisely defined sense. There are many different definitions of weak solution, appropriate for different classes of equations. One of the most important is based on the notion of distributions.

Avoiding the language of distributions, one starts with a differential equation and rewrites it in such a way that no derivatives of the solution of the equation show up (the new form is called the weak formulation, and the solutions to it are called weak solutions). Somewhat surprisingly, a differential equation may have solutions which are not differentiable; and the weak formulation allows one to find such solutions.

Weak solutions are important because many differential equations encountered in modelling real-world phenomena do not admit of sufficiently smooth solutions, and the only way of solving such equations is using the weak formulation. Even in situations where an equation does have differentiable solutions, it is often convenient to first prove the existence of weak solutions and only later show that those solutions are in fact smooth enough.