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  2. List of rules of inference - Wikipedia

    en.wikipedia.org/wiki/List_of_rules_of_inference

    2 Rules for propositional calculus. ... 2.3 Rules for conjunctions. 2.4 Rules for disjunctions. ... Modus tollens using Step 2 and 3 5.

  3. Four fours - Wikipedia

    en.wikipedia.org/wiki/Four_fours

    For example, when d=4, the hash table for two occurrences of d would contain the key-value pair 8 and 4+4, and the one for three occurrences, the key-value pair 2 and (4+4)/4 (strings shown in bold). The task is then reduced to recursively computing these hash tables for increasing n , starting from n=1 and continuing up to e.g. n=4.

  4. de Bruijn index - Wikipedia

    en.wikipedia.org/wiki/De_Bruijn_index

    (λ λ 4 2 (λ 1 3)) (λ 5 1) which might correspond to the following term written in the usual notation (λx. λy. z x (λu. u x)) (λx. w x). After step 1, we obtain the term λ 4 (λ 1 ), where the variables that are destined for substitution are replaced with boxes. Step 2 decrements the free variables, giving λ 3 (λ 1 ).

  5. Ximera - Wikipedia

    en.wikipedia.org/wiki/Ximera

    The system was originally known as MOOCulus and Calculus One. [2] The course features over 25 hours of video and exercises. The instructor is Jim Fowler, an associate professor of mathematics at the Ohio State University. [3] The course was available for the first time on Coursera during the Spring Semester of 2012–13.

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  7. Chain rule - Wikipedia

    en.wikipedia.org/wiki/Chain_rule

    In calculus, the chain rule is a formula that expresses the derivative of the composition of two differentiable functions f and g in terms of the derivatives of f and g.More precisely, if = is the function such that () = (()) for every x, then the chain rule is, in Lagrange's notation, ′ = ′ (()) ′ (). or, equivalently, ′ = ′ = (′) ′.

  8. Mathematical induction - Wikipedia

    en.wikipedia.org/wiki/Mathematical_induction

    Mathematical induction can be informally illustrated by reference to the sequential effect of falling dominoes. [1] [2]Mathematical induction is a method for proving that a statement () is true for every natural number, that is, that the infinitely many cases (), (), (), (), … all hold.

  9. Ricci calculus - Wikipedia

    en.wikipedia.org/wiki/Ricci_calculus

    [a] [1] [2] [3] It is also the modern name for what used to be called the absolute differential calculus (the foundation of tensor calculus), tensor calculus or tensor analysis developed by Gregorio Ricci-Curbastro in 1887–1896, and subsequently popularized in a paper written with his pupil Tullio Levi-Civita in 1900. [4]

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