Lecture Theory of Computation

Probability and Computer science - Lecture 1: Introduction to probability. This lecture provides students with content including: mathematical tools to deal with uncertain events; applications include; combinatorial analysis; counting; axioms of probability; conditional probability and inference;... Please refer to the detailed content of the lecture!

16p codabach1016 03-05-2024 2 0   Download

Probability and Computer science - Lecture 7: Continuous distributions and poisson process. This lecture provides students with content including: continuous random variables; poisson process; queuing theory just a glance; uniform distribution; exponential distribution;... Please refer to the detailed content of the lecture!

27p codabach1016 03-05-2024 2 0   Download

In this lecture we will focus: Understanding the basic concepts and parameters related to an image and physical display screen, understanding the basic display technology employed in raster scan CRT with reference to the architecture of a CRT, understanding the theory of colour display with reference to graphics memory and CRT circuitry.

15p haojiubujain04 27-07-2023 10 5   Download

In this chapter include objectives: Describe the different environments under which operations are made, describe and use techniques that apply to decision making under uncertainty, describe and use the expected-value approach, construct a decision tree and use it to analyze a problem, compute the expected value of perfect information, conduct sensitivity analysis on a simple decision problem.

14p runordie9 27-09-2022 9 2   Download

Lecture Probability Theory - Lecture 6: Mean, Variance, Moments and Characteristic Functions. Mean, Variance and Characteristic Functions of various random variables are derived here. Chen's theorem to compute the Poisson moments, and an iterative formula to compute Gaussian moments are also derived here. As an application, the characteristic function is used to show that a Binomial random variable tends to behave like a Gaussian random variable as the number of trials becomes large.

50p cucngoainhan0 10-05-2022 9 1   Download

Theory of Computation: Lecture 1. The main topics covered in this lesson include: the story of computation; earliest models of computation; earliest algorithms; theory of computation; computability and logic; complexity theory; turing machines and algorithms;...

40p andromedashun 26-05-2022 18 1   Download

Theory of Computation: Lecture 2. The main topics covered in this lesson include: recall some basic definitions from automata theory; alphabet, strings and languages; define a turing machine; look at simple examples of turing machines;...

33p andromedashun 26-05-2022 13 1   Download

Theory of Computation: Lecture 3. The main topics covered in this lesson include: quickly recall the definition of a Turing machine; look at some more examples of Turing machines; define the concept of a configuration; define what the language accepted by a Turing machines;...

40p andromedashun 26-05-2022 17 1   Download

Theory of Computation: Lecture 4. The main topics covered in this lesson include: quickly recall the definition of a Turing machine; look at some more examples of Turing machines; define the concept of a configuration; define what the language accepted by a Turing machines;...

26p andromedashun 26-05-2022 16 1   Download

Theory of Computation: Lecture 5. The main topics covered in this lesson include: variants of Turing machines; k-tape TMs; show that k-tape TMs have the same power as 1-tape TMs; study enumerators; prove equivalence of enumerators and TMs; dovetailing;...

31p andromedashun 26-05-2022 14 1   Download

Theory of Computation: Lecture 6. The main topics covered in this lesson include: prove the equivalence of enumerators and TMs; dovetailing; definition of algorithm; the Church-Turing thesis; encodings; Hilbert’s 10th problem; Matijasevic’s theorem;...

39p andromedashun 26-05-2022 14 1   Download

Theory of Computation: Lecture 7. The main topics covered in this lesson include: decidable languages; decidable problems concerning regular languages; decidable problems concerning context free languages; the Halting problem, undecidability of the Halting problem;...

39p andromedashun 26-05-2022 14 1   Download

Theory of Computation: Lecture 8. The main topics covered in this lesson include: the Halting problem; universal Turing machine; undecidability of the halting problem; diagonalization; galilean paradox; Hilbert hotel; countable sets; cantor diagonalization;...

33p andromedashun 26-05-2022 14 1   Download

Theory of Computation: Lecture 11. The main topics covered in this lesson include: undecidability of the halting problem; Russell’s paradox; reducibility; undecidable problems; linear bounded automata; acceptance problem for TMs; emptiness problem for TMs;...

35p andromedashun 26-05-2022 7 2   Download

Theory of Computation: Lecture 9. The main topics covered in this lesson include: Halting problem; undecidability of the Halting problem; diagonalization; Co-Turing recognizability; the Halting problem is not co-Turing recognizable;...

43p andromedashun 26-05-2022 15 1   Download

Theory of Computation: Lecture 10. The main topics covered in this lesson include: linear bounded automata; acceptance problem for LBAs; emptiness problem for LBAs; computation histories; emptiness problem for CFGs; an undecidable problem for CFGs; post correspondence problem;...

43p andromedashun 26-05-2022 18 1   Download

Theory of Computation: Lecture 12. The main topics covered in this lesson include: post correspondence problem; PCP is undecidable; computable functions and examples of computable functions; reducibility;...

42p andromedashun 26-05-2022 8 1   Download

Theory of Computation: Lecture 13. The main topics covered in this lesson include: computable functions; reducibility; reducibility and undecidability; reducibility and un-Turing-recognizability;...

50p andromedashun 26-05-2022 7 1   Download

Theory of Computation: Lecture 14. The main topics covered in this lesson include: reducibility; un-Turing-recognizability; a nice puzzle; programs that print themselves; recursion theorem; programming languages version;...

36p andromedashun 26-05-2022 8 1   Download

Theory of Computation: Lecture 15. The main topics covered in this lesson include: recursion theorem; some applications of recursion theorem; mathematical logic and decidability of logical theories; scrambles programs;...

35p andromedashun 26-05-2022 8 1   Download