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Binary Periodic Signals & Flows [Kõva köide]

  • Formaat: Hardback, 224 pages, kõrgus x laius: 260x180 mm, kaal: 620 g
  • Ilmumisaeg: 01-May-2016
  • Kirjastus: Nova Science Publishers Inc
  • ISBN-10: 1634844521
  • ISBN-13: 9781634844529
Teised raamatud teemal:
  • Formaat: Hardback, 224 pages, kõrgus x laius: 260x180 mm, kaal: 620 g
  • Ilmumisaeg: 01-May-2016
  • Kirjastus: Nova Science Publishers Inc
  • ISBN-10: 1634844521
  • ISBN-13: 9781634844529
Teised raamatud teemal:
1 Preliminaries
1(16)
1 The Definition of the Signals
1(2)
2 Left and Right Limits
3(1)
3 Initial and Final Values, Initial and Final Time
4(3)
4 The Forgetful Function
7(1)
5 Orbits, Omega Limit Sets and Support Sets
8(4)
6 The Image of a Signal via a Function
12(5)
2 The Main Definitions on Periodicity
17(8)
1 Eventually Periodic Points
17(3)
2 Eventually Periodic Signals
20(1)
3 Periodic Points
21(1)
4 Periodic Signals
22(3)
3 Eventually Constant Signals
25(20)
1 The First Group of Eventual Constancy Properties
25(1)
2 Eventual Constancy
26(1)
3 The Second Group of Eventual Constancy Properties
27(6)
4 The Third Group of Eventual Constancy Properties
33(6)
5 The Third Group of Eventual Constancy Properties, Version
39(1)
6 The Fourth Group of Eventual Constancy Properties
40(2)
7 Discrete Time vs Real Time
42(1)
8 Discussion
42(3)
4 Constant Signals
45(20)
1 The First Group of Constancy Properties
45(1)
2 The Second Group of Constancy Properties
46(5)
3 The Third Group of Constancy Properties
51(8)
4 The Fourth Group of Constancy Properties
59(2)
5 Discrete Time vs Real Time
61(1)
6 Discussion
61(4)
5 Eventually Periodic Points
65(22)
1 Equivalent Properties with the Eventual Periodicity of a Point
65(3)
2 Discussion
68(1)
3 The Accessibility of the Eventually Periodic Points
69(1)
4 The Limit of Periodicity
69(2)
5 A Property of Eventual Constancy
71(5)
6 Discrete Time vs Real Time
76(1)
7 Support Sets vs Sets of Periods
77(1)
8 Sums, Differences and Multiples of Periods
78(1)
9 The Set of the Periods
79(2)
10 Necessity Conditions of Eventual Periodicity
81(2)
11 Sufficiency Conditions of Eventual Periodicity
83(1)
12 A Special Case
84(1)
13 Eventually Periodic Points vs Eventually Constant Signals
85(2)
6 Eventually Periodic Signals
87(22)
1 The First Group of Eventual Periodicity Properties
87(3)
2 The Second Group of Eventual Periodicity Properties
90(3)
3 The Accessibility of the Omega Limit Set
93(1)
4 The Limit of Periodicity
94(2)
5 A Property of Eventual Constancy
96(2)
6 Discussion on Eventual Constancy
98(1)
7 Discrete Time vs Real Time
98(2)
8 Sums, Differences and Multiples of Periods
100(1)
9 The Set of the Periods
101(1)
10 Necessity Conditions of Eventual Periodicity
102(1)
11 Sufficiency Conditions of Eventual Periodicity
103(1)
12 A Special Case
104(1)
13 Changing the Order of the Quantifiers
105(2)
14 The Hypothesis P
107(2)
7 Periodic Points
109(24)
1 Properties which Are Equivalent to the Periodicity of a Point
109(3)
2 Discussion
112(1)
3 The Accessibility of the Periodic Points
113(1)
4 The Limit of Periodicity
113(4)
5 A Property of Constancy
117(1)
6 Discrete Time vs Real Time
118(1)
7 Support Sets vs Sets of Periods
119(1)
8 Sums, Differences and Multiples of Periods
119(2)
9 The Set of the Periods
121(1)
10 Necessity Conditions of Periodicity
121(3)
11 Sufficiency Conditions of Periodicity
124(2)
12 A Special Case
126(2)
13 Periodic Points vs Eventually Periodic Points
128(2)
14 Further Research
130(3)
8 Periodic Signals
133(22)
1 The First Group of Periodicity Properties
134(2)
2 The Second Group of Periodicity Properties
136(2)
3 The Accessibility of the Orbit
138(1)
4 The Limit of Periodicity
138(4)
5 A property of Constancy
142(1)
6 Discussion on Constancy
143(1)
7 Discrete Time vs Real Time
144(2)
8 Sums, Differences and Multiples of Periods
146(1)
9 The Set of the Periods
147(1)
10 Necessity Conditions of Periodicity
147(1)
11 Sufficiency Conditions of Periodicity
148(2)
12 A Special Case
150(1)
13 Periodicity vs Eventual Periodicity
151(1)
14 Changing the Order of the Quantifiers
152(1)
15 Other Issues
153(2)
9 Examples
155(4)
1 Discrete Time, Periodic Points
155(2)
2 Real Time, Periodic Points
157(2)
10 Computation Functions
159(14)
1 The Definition of the Computation Functions
159(1)
2 Discussion
160(1)
3 Eventual Periodicity and Periodicity
161(2)
4 The Bounds of the Initial Time and of the Limit of Periodicity
163(2)
5 The Forgetful Function
165(2)
6 Progressiveness
167(2)
7 Progressive Periodic Computation Functions
169(4)
11 Flows
173(14)
1 Flows
173(3)
2 The Defining Equations of the Flows
176(2)
3 Consistency, Composition and Causality
178(3)
4 Equivalent Progressive Computation Functions
181(6)
12 A Wider Point of View: Control and Systems
187(6)
1 Control
187(1)
2 Systems
188(2)
3 Discussion
190(3)
13 Eventually Constant Flows
193(6)
1 Generic Eventual Constancy Properties
193(1)
2 Specific Eventual Constancy Properties
194(1)
3 Eventually Fixed Points
195(1)
4 Discrete Time vs Real Time
196(1)
5 A Property of Eventual Constancy
196(3)
14 Constant Flows
199(6)
1 Generic Constancy Properties
199(1)
2 Specific Constancy Properties
200(2)
3 Fixed Points
202(1)
4 Discrete Time vs Real Time
202(1)
5 Properties of Constancy
202(3)
15 The Periodicity of the Flows
205(16)
1 Eventually Periodic Values of the Flows
205(2)
2 Eventually Periodic Flows
207(2)
3 Double Eventual Periodicity
209(3)
4 Periodic Values of the Flows
212(1)
5 Periodic Flows
213(2)
6 Double Periodicity
215(6)
Notations 221(2)
Lemmas 223(12)
About the Author 235(2)
Index 237