MyWikiBiz, Author Your Legacy — Monday December 02, 2024
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, 13:01, 9 March 2009
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| ==Note 5== | | ==Note 5== |
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− | For a slightly more interesting example, let's suppose that we have a dynamic system that is known by its state space <math>X,\!</math> and we have a boolean state variable <math>x : X \to \mathbb{B}.</math> In addition, we are given an initial condition <math>x = dx\!</math> and a law <math>d^2 x = (x).\!</math> | + | For a slightly more interesting example, let's suppose that we have a dynamic system that is known by its state space <math>X,\!</math> and we have a boolean state variable <math>x : X \to \mathbb{B}.</math> In addition, we are given an initial condition <math>\texttt{x = dx}</math> and a law <math>\texttt{d}^\texttt{2}\texttt{x = (x)}.</math> |
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| The initial condition has two cases: either <math>x = dx = 0\!</math> or <math>x = dx = 1.\!</math> | | The initial condition has two cases: either <math>x = dx = 0\!</math> or <math>x = dx = 1.\!</math> |