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  2. Theoretical computer science - Wikipedia

    en.wikipedia.org/wiki/Theoretical_computer_science

    Theoretical computer science is a subfield of computer science and mathematics that focuses on the abstract and mathematical foundations of computation. It is difficult to circumscribe the theoretical areas precisely. The ACM 's Special Interest Group on Algorithms and Computation Theory (SIGACT) provides the following description: [1] TCS ...

  3. Computer science - Wikipedia

    en.wikipedia.org/wiki/Computer_science

    Computer science is the study of computation, information, and automation. [1][2][3] Computer science spans theoretical disciplines (such as algorithms, theory of computation, and information theory) to applied disciplines (including the design and implementation of hardware and software). [4][5][6] Algorithms and data structures are central to ...

  4. Theory of computation - Wikipedia

    en.wikipedia.org/wiki/Theory_of_computation

    The theory of computation can be considered the creation of models of all kinds in the field of computer science. Therefore, mathematics and logic are used. In the last century, it separated from mathematics and became an independent academic discipline with its own conferences such as FOCS in 1960 and STOC in 1969, and its own awards such as the IMU Abacus Medal (established in 1981 as the ...

  5. Deterministic finite automaton - Wikipedia

    en.wikipedia.org/wiki/Deterministic_finite_automaton

    A deterministic finite automaton M is a 5- tuple, (Q, Σ, δ, q0, F), consisting of. a finite set of states Q. a finite set of input symbols called the alphabet Σ. a transition function δ : Q × Σ → Q. an initial or start state. q 0 ∈ Q {\displaystyle q_ {0}\in Q} a set of accept states. F ⊆ Q {\displaystyle F\subseteq Q}

  6. Automata theory - Wikipedia

    en.wikipedia.org/wiki/Automata_theory

    Automata theory is the study of abstract machines and automata, as well as the computational problems that can be solved using them. It is a theory in theoretical computer science with close connections to mathematical logic. The word automata comes from the Greek word αὐτόματος, which means "self-acting, self-willed, self-moving".

  7. Charles Babbage - Wikipedia

    en.wikipedia.org/wiki/Charles_Babbage

    Scientific career. Fields. Mathematics, engineering, political economy, computer science. Institutions. Trinity College, Cambridge, Peterhouse, Cambridge. Signature. Charles Babbage KH FRS (/ ˈbæbɪdʒ /; 26 December 1791 – 18 October 1871) was an English polymath. [1] A mathematician, philosopher, inventor and mechanical engineer, Babbage ...

  8. Computational complexity theory - Wikipedia

    en.wikipedia.org/.../Computational_complexity_theory

    Computational complexity theory. In theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to their resource usage, and explores the relationships between these classifications. A computational problem is a task solved by a computer.

  9. Clique (graph theory) - Wikipedia

    en.wikipedia.org/wiki/Clique_(graph_theory)

    The two dark blue 4-cliques are both maximum and maximal, and the clique number of the graph is 4. In graph theory, a clique (/ ˈkliːk / or / ˈklɪk /) is a subset of vertices of an undirected graph such that every two distinct vertices in the clique are adjacent. That is, a clique of a graph is an induced subgraph of that is complete.

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