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. 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.

  4. 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 ...

  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. Topkis's theorem - Wikipedia

    en.wikipedia.org/wiki/Topkis's_Theorem

    If one wanted to solve the problem with standard tools such as the implicit function theorem, one would have to assume that the problem is well behaved: U(.) is twice continuously differentiable, concave in s, that the domain over which s is defined is convex, and that it there is a unique maximizer () for every value of p and that () is in the ...

  8. Woman Paralyzed by Falling Tree Can Move Again Thanks to ...

    www.aol.com/woman-paralyzed-falling-tree-move...

    Jessie Owen was traveling with her family twelve years ago when, while going through a mountain pass, a tree fell on their car. “In that moment, my parents passed away, my siblings were severely ...

  9. Function of several real variables - Wikipedia

    en.wikipedia.org/wiki/Function_of_several_real...

    The implicit function theorem of more than two real variables deals with the continuity and differentiability of the function, as follows. [4] Let ϕ(x 1, x 2, …, x n) be a continuous function with continuous first order partial derivatives, and let ϕ evaluated at a point (a, b) = (a 1, a 2, …, a n, b) be zero: