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The successor function is continuous.
Successor function (g(B_{1})) is continuous.
Figure 1 The schematic diagram of successor function.
The successor function defined in Definition 2.4 is continuous.
Figure 3 The successor function of point E is negative.
The above list of terms already shows the successor function, which is SB.
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So too could Frege derive, logically, all the other Dedekind Peano postulates (involving the name 0 and the successor function-sign s) for the natural numbers.
Continued to infinity, this tree is called the tree of two successor functions (namely left successor and right successor).
Meanwhile, the existence, uniqueness and stability of the order-1 periodic solution are proved by using the method of successor functions and differential equation geometry theory.
The integer decision variables help in finding if the movement is on grade-separated or surface lanes, and also the successor functions to govern the order of signal display.
Firstly, the existence of order-1 periodic solution of the system is investigated by successor functions and Bendixson theorem of impulsive differential equations, then the stability of periodic solutions is proved by the analogue of the Poincaré criterion.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com