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  2. Metzler matrix - Wikipedia

    en.wikipedia.org/wiki/Metzler_matrix

    The exponential of a Metzler (or quasipositive) matrix is a nonnegative matrix because of the corresponding property for the exponential of a nonnegative matrix. This is natural, once one observes that the generator matrices of continuous-time Markov chains are always Metzler matrices, and that probability distributions are always non-negative.

  3. Ray transfer matrix analysis - Wikipedia

    en.wikipedia.org/wiki/Ray_transfer_matrix_analysis

    Each optical element (surface, interface, mirror, or beam travel) is described by a 2 × 2 ray transfer matrix which operates on a vector describing an incoming light ray to calculate the outgoing ray. Multiplication of the successive matrices thus yields a concise ray transfer matrix describing the entire optical system.

  4. Stable polynomial - Wikipedia

    en.wikipedia.org/wiki/Stable_polynomial

    A linear system is BIBO stable if its characteristic polynomial is stable. The denominator is required to be Hurwitz stable if the system is in continuous-time and Schur stable if it is in discrete-time. In practice, stability is determined by applying any one of several stability criteria.

  5. Frame and panel - Wikipedia

    en.wikipedia.org/wiki/Frame_and_panel

    Wood will expand and contract across the grain, and a wide panel made of solid wood could change width by a half of an inch, warping the door frame. By allowing the wood panel to float, it can expand and contract without damaging the door. A typical panel would be cut to allow 1/4" (5 mm) between itself and the bottom of the groove in the frame ...

  6. Nyquist stability criterion - Wikipedia

    en.wikipedia.org/wiki/Nyquist_stability_criterion

    The Nyquist plot for () = + + with s = jω.. In control theory and stability theory, the Nyquist stability criterion or Strecker–Nyquist stability criterion, independently discovered by the German electrical engineer Felix Strecker [] at Siemens in 1930 [1] [2] [3] and the Swedish-American electrical engineer Harry Nyquist at Bell Telephone Laboratories in 1932, [4] is a graphical technique ...

  7. Numerical stability - Wikipedia

    en.wikipedia.org/wiki/Numerical_stability

    Computing the square root of 2 (which is roughly 1.41421) is a well-posed problem.Many algorithms solve this problem by starting with an initial approximation x 0 to , for instance x 0 = 1.4, and then computing improved guesses x 1, x 2, etc.

  8. Framing (construction) - Wikipedia

    en.wikipedia.org/wiki/Framing_(construction)

    Wall framing in house construction includes the vertical and horizontal members of exterior walls and interior partitions, both of bearing walls and non-bearing walls. . These stick members, referred to as studs, wall plates and lintels (sometimes called headers), serve as a nailing base for all covering material and support the upper floor platforms, which provide the lateral strength along a

  9. Stability theory - Wikipedia

    en.wikipedia.org/wiki/Stability_theory

    In the former case, the orbit is called stable; in the latter case, it is called asymptotically stable and the given orbit is said to be attracting. An equilibrium solution f e {\displaystyle f_{e}} to an autonomous system of first order ordinary differential equations is called:

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