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A critical point of a function of a single real variable, f (x), is a value x 0 in the domain of f where f is not differentiable or its derivative is 0 (i.e. ′ =). [2] A critical value is the image under f of a critical point.
A plot of typical polymer solution phase behavior including two critical points: a LCST and an UCST. The liquid–liquid critical point of a solution, which occurs at the critical solution temperature, occurs at the limit of the two-phase region of the phase diagram. In other words, it is the point at which an infinitesimal change in some ...
If you have a simple return and are used to filling out Form 1040-EZ or Form 1040-A, you might be surprised to find that you now need to file Form 1040. All three IRS forms have been consolidated ...
These dimensionless thermodynamic coordinates, taken together with a substance's compressibility factor, provide the basis for the simplest form of the theorem of corresponding states. [1] Reduced properties are also used to define the Peng–Robinson equation of state, a model designed to provide reasonable accuracy near the critical point. [2]
A saddle point (in red) on the graph of z = x 2 − y 2 (hyperbolic paraboloid). In mathematics, a saddle point or minimax point [1] is a point on the surface of the graph of a function where the slopes (derivatives) in orthogonal directions are all zero (a critical point), but which is not a local extremum of the function. [2]
Form 1040-X (officially, the "Amended U.S. Individual Tax Return") is used to make corrections on Form 1040, Form 1040A, and Form 1040EZ tax returns that have been previously filed (note: forms 1040-A and 1040-EZ were discontinued starting with tax year 2018, but a 1040X may still be filed amending one of these tax forms filed for previous years).
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