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As an example, consider the function () = on the domain .This function is quasiconcave, but it is not concave (in fact, it is strictly convex). It can be concavified, for example, using the monotone transformation () = /, since (()) = is concave.
A very simple example of a useful variable change can be seen in the problem of finding the roots of the sixth-degree polynomial: x 6 − 9 x 3 + 8 = 0. {\displaystyle x^{6}-9x^{3}+8=0.} Sixth-degree polynomial equations are generally impossible to solve in terms of radicals (see Abel–Ruffini theorem ).
The reciprocal transformation, some power transformations such as the Yeo–Johnson transformation, and certain other transformations such as applying the inverse hyperbolic sine, can be meaningfully applied to data that include both positive and negative values [10] (the power transformation is invertible over all real numbers if λ is an odd ...
Only if the two products satisfy the three conditions, will they be classified as close substitutes according to economic theory. The opposite of a substitute good is a complementary good, these are goods that are dependent on another. An example of complementary goods are cereal and milk. An example of substitute goods are tea and coffee.
Transformation in economics refers to a long-term change in dominant economic activity in terms of prevailing relative engagement or employment of able individuals. Human economic systems undergo a number of deviations and departures from the "normal" state, trend or development.
In economics, factors of production, resources, or inputs are what is used in the production process to produce output—that is, goods and services.The utilized amounts of the various inputs determine the quantity of output according to the relationship called the production function.
The IRS has gradually rolled out a program to allow Americans to directly file taxes with the IRS. It's designed to make filing taxes simpler and easier. A group of Republicans want Donald Trump ...
In mathematics, a transformation, transform, or self-map [1] is a function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f: X → X. [ 2 ] [ 3 ] [ 4 ] Examples include linear transformations of vector spaces and geometric transformations , which include projective transformations , affine transformations , and ...