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2. Biological applications of bifurcation theory - Wikipedia

   en.wikipedia.org/wiki/Biological_applications_of...

   Despite the great potential complexity and diversity of biological networks, all first-order network behavior generalizes to one of four possible input-output motifs: hyperbolic or Michaelis–Menten, ultra-sensitive, bistable, and bistable irreversible (a bistability where negative and therefore biologically impossible input is needed to return from a state of high output).

3. Smith predictor - Wikipedia

   en.wikipedia.org/wiki/Smith_predictor

   The Smith predictor (invented by O. J. M. Smith in 1957) is a type of predictive controller designed to control systems with a significant feedback time delay. The idea can be illustrated as follows.

4. Transfer function - Wikipedia

   en.wikipedia.org/wiki/Transfer_function

   The transfer function of a two-port electronic circuit, such as an amplifier, might be a two-dimensional graph of the scalar voltage at the output as a function of the scalar voltage applied to the input; the transfer function of an electromechanical actuator might be the mechanical displacement of the movable arm as a function of electric ...

5. Bilinear transform - Wikipedia

   en.wikipedia.org/wiki/Bilinear_transform

   The bilinear transform is a first-order Padé approximant of the natural logarithm function that is an exact mapping of the z-plane to the s-plane.When the Laplace transform is performed on a discrete-time signal (with each element of the discrete-time sequence attached to a correspondingly delayed unit impulse), the result is precisely the Z transform of the discrete-time sequence with the ...

6. First-order logic - Wikipedia

   en.wikipedia.org/wiki/First-order_logic

   The Löwenheim–Skolem theorem implies that infinite structures cannot be categorically axiomatized in first-order logic. For example, there is no first-order theory whose only model is the real line: any first-order theory with an infinite model also has a model of cardinality larger than the continuum.

7. List of nonlinear ordinary differential equations - Wikipedia

   en.wikipedia.org/wiki/List_of_nonlinear_ordinary...

   Order Equation Application Reference Abel's differential equation of the first kind: 1 = + + + Class of differential equation which may be solved implicitly [1] Abel's differential equation of the second kind: 1

8. Stanley recalls 2.6 million mugs after reports of burns from ...

   www.aol.com/stanley-recalls-2-6-million...

   Stanley is recalling 2.6 million mugs sold in the U.S. after the company received dozens of consumer complaints, including some users who reported getting burned and requiring medical attention ...

9. Extra element theorem - Wikipedia

   en.wikipedia.org/wiki/Extra_element_theorem

   Where the Laplace-domain transfer functions and impedances in the above expressions are defined as follows: H(s) is the transfer function with the extra element present. H ∞ (s) is the transfer function with the extra element open-circuited. H 0 (s) is the transfer function with the extra element short-circuited. Z(s) is the impedance of the ...