Fig 7 - uploaded by Bilal Jarrah
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shows the Bode diagram of open loop control transfer function G1*G2 for N=8 and M=4.  

shows the Bode diagram of open loop control transfer function G1*G2 for N=8 and M=4.  

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We prove that the $(p,q)$-cable of a non-trivial knot is not Floer homologically thin. Using this and a theorem of Ian Zemke in \cite{zemke}, we find a larger class of satellite knots, containing non-cable knots as well, which are not Floer homologically thin.

Citations

... It can be seen that these functions appear in the scope of integrals, linear differential equations, and Laplace's equation. Among the applications of hyperbolic functions, one can mention the description of wave movement in elastic bodies, the shape of electric power transmission lines, temperature distribution in metal blades, tracking curves and the geometry of general relativity theory and other cases in various sciences(see [1], [10], [11] and [15]). ...
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In this paper, we introduce new class of hyperbolic functions, namely, symmetric hyperbolic Pell sine function and hyperbolic Pell cosine function. These functions, combine the concept of classical hyperbolic functions and recursive Pell sequence and Pell-Lucas sequence. We study some properties of these new hyperbolic functions and present some identities about these functions.
... In this case, hyperbolical functions depend on square root of complex variable s and this does not facilitate real-time applications. Closed loop control problem differs from the known monitoring problems and from open-loop control problems (Necsulescu, Jarrah, 2016). For real-time applications, this is approached using finite Taylor expansions of the hyperbolic functions that permit to obtain transfer functions that approximate hyperbolic functions for a given frequency domain. ...