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As Y-Sets [1] are the most common shaped sets, Y-Set is a name that is sometimes used to represent the family of connector sets (sometimes called Y-tubes). The majority of these infusion sets have a left and right hand line that deliver fluid and drugs (often via a valve) to a short common limb attached to the female fitting on the intravenous ...
A solute in a solution are individual molecules or ions, whereas colloidal particles are bigger. For example, in a solution of salt in water, the sodium chloride (NaCl) crystal dissolves, and the Na + and Cl − ions are surrounded by water molecules. However, in a colloid such as milk, the colloidal particles are globules of fat, rather than ...
The XY problem obscures the real issues and may even introduce secondary problems that lead to miscommunication, resource mismanagement, and sub-par solutions. The solution for the support personnel is to ask probing questions as to why the information is needed in order to identify the root problem Y and redirect the end user away from an ...
The system + =, + = has exactly one solution: x = 1, y = 2 The nonlinear system + =, + = has the two solutions (x, y) = (1, 0) and (x, y) = (0, 1), while + + =, + + =, + + = has an infinite number of solutions because the third equation is the first equation plus twice the second one and hence contains no independent information; thus any value of z can be chosen and values of x and y can be ...
More generally, the solution set to an arbitrary collection E of relations (E i) (i varying in some index set I) for a collection of unknowns (), supposed to take values in respective spaces (), is the set S of all solutions to the relations E, where a solution () is a family of values (()) such that substituting () by () in the collection E makes all relations "true".
One particular solution is x = 0, y = 0, z = 0. Two other solutions are x = 3, y = 6, z = 1, and x = 8, y = 9, z = 2. There is a unique plane in three-dimensional space which passes through the three points with these coordinates, and this plane is the set of all points whose coordinates are solutions of the equation.
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A singular solution in this stronger sense is often given as tangent to every solution from a family of solutions. By tangent we mean that there is a point x where y s (x) = y c (x) and y' s (x) = y' c (x) where y c is a solution in a family of solutions parameterized by c. This means that the singular solution is the envelope of the family of ...