enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Implicit function theorem - Wikipedia

    en.wikipedia.org/wiki/Implicit_function_theorem

    The unit circle can be specified as the level curve f(x, y) = 1 of the function f(x, y) = x 2 + y 2.Around point A, y can be expressed as a function y(x).In this example this function can be written explicitly as () =; in many cases no such explicit expression exists, but one can still refer to the implicit function y(x).

  3. Implicit function - Wikipedia

    en.wikipedia.org/wiki/Implicit_function

    An implicit function is a function that is defined by an implicit equation, that relates one of the variables, considered as the value of the function, with the others considered as the arguments. [ 1 ] : 204–206 For example, the equation x 2 + y 2 − 1 = 0 {\displaystyle x^{2}+y^{2}-1=0} of the unit circle defines y as an implicit function ...

  4. Comparative statics - Wikipedia

    en.wikipedia.org/wiki/Comparative_statics

    Comparative statics results are usually derived by using the implicit function theorem to calculate a linear approximation to the system of equations that defines the equilibrium, under the assumption that the equilibrium is stable.

  5. Monotone comparative statics - Wikipedia

    en.wikipedia.org/wiki/Monotone_comparative_statics

    Traditionally, comparative results in economics are obtained using the Implicit Function Theorem, an approach that requires the concavity and differentiability of the objective function as well as the interiority and uniqueness of the optimal solution. The methods of monotone comparative statics typically dispense with these assumptions.

  6. Lyapunov–Schmidt reduction - Wikipedia

    en.wikipedia.org/wiki/Lyapunov–Schmidt_reduction

    For the case when the linear operator (,) is invertible, the implicit function theorem assures that there exists a solution () satisfying the equation ((),) = at least locally close to . In the opposite case, when the linear operator f x ( x , λ ) {\displaystyle f_{x}(x,\lambda )} is non-invertible, the Lyapunov–Schmidt reduction can be ...

  7. Implicit contract theory - Wikipedia

    en.wikipedia.org/wiki/Implicit_contract_theory

    In economics, implicit contracts refer to voluntary and self-enforcing long term agreements made between two parties regarding the future exchange of goods or services. Implicit contracts theory was first developed to explain why there are quantity adjustments ( layoffs ) instead of price adjustments (falling wages) in the labor market during ...

  8. Implicit curve - Wikipedia

    en.wikipedia.org/wiki/Implicit_curve

    The implicit function theorem describes conditions under which an equation (,) = can be solved implicitly for x and/or y – that is, under which one can validly write = or = (). This theorem is the key for the computation of essential geometric features of the curve: tangents , normals , and curvature .

  9. Critical point (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Critical_point_(mathematics)

    This means that the tangent of the curve is parallel to the y-axis, and that, at this point, g does not define an implicit function from x to y (see implicit function theorem). If (x 0, y 0) is such a critical point, then x 0 is the corresponding critical value.