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2. Lagrange multiplier - Wikipedia

   en.wikipedia.org/wiki/Lagrange_multiplier

   The basic idea is to convert a constrained problem into a form such that the derivative test of an unconstrained problem can still be applied. The relationship between the gradient of the function and gradients of the constraints rather naturally leads to a reformulation of the original problem, known as the Lagrangian function or Lagrangian. [2]

3. Secant method - Wikipedia

   en.wikipedia.org/wiki/Secant_method

   This convergence order only holds under some technical conditions, namely that is twice continuously differentiable and the root in question is a simple root (i.e., it has multiplicity 1). If the initial values are not close enough to the root, then there is no guarantee that the secant method converges at all.

4. Elmer FEM solver - Wikipedia

   en.wikipedia.org/wiki/Elmer_FEM_solver

   ElmerGUI – A graphical interface which can be used on an existing mesh to assign physical models, this generates a "case file" which describes the problem to be solved. Does not show the whole ElmerSolver functionality in GUI. ElmerSolver – The numerical solver which performs the finite element calculations, using the mesh and case files.

5. Inverse kinematics - Wikipedia

   en.wikipedia.org/wiki/Inverse_kinematics

   Forward vs. inverse kinematics. In computer animation and robotics, inverse kinematics is the mathematical process of calculating the variable joint parameters needed to place the end of a kinematic chain, such as a robot manipulator or animation character's skeleton, in a given position and orientation relative to the start of the chain.

6. Linear complementarity problem - Wikipedia

   en.wikipedia.org/wiki/Linear_complementarity_problem

   The minimum of f is 0 at z if and only if z solves the linear complementarity problem. If M is positive definite, any algorithm for solving (strictly) convex QPs can solve the LCP. Specially designed basis-exchange pivoting algorithms, such as Lemke's algorithm and a variant of the simplex algorithm of Dantzig have been used for decades ...

7. Brief Answers to the Big Questions - Wikipedia

   en.wikipedia.org/wiki/Brief_Answers_to_the_Big...

   Brief Answers to the Big Questions is a popular science book written by physicist Stephen Hawking, and published by Hodder & Stoughton (hardcover) and Bantam Books (paperback) on 16 October 2018. The book examines some of the universe 's greatest mysteries, and promotes the view that science is very important in helping to solve problems on ...