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  2. Converse (logic) - Wikipedia

    en.wikipedia.org/wiki/Converse_(logic)

    Let S be a statement of the form P implies Q (P → Q). Then the converse of S is the statement Q implies P (Q → P). In general, the truth of S says nothing about the truth of its converse, [2] unless the antecedent P and the consequent Q are logically equivalent. For example, consider the true statement "If I am a human, then I am mortal."

  3. Symbolab - Wikipedia

    en.wikipedia.org/wiki/Symbolab

    Symbolab is an answer engine [1] that provides step-by-step solutions to mathematical problems in a range of subjects. [2] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011. In 2020, the company was acquired by American educational technology website Course Hero. [3] [4]

  4. Inverse Symbolic Calculator - Wikipedia

    en.wikipedia.org/wiki/Inverse_Symbolic_Calculator

    A user will input a number and the Calculator will use an algorithm to search for and calculate closed-form expressions or suitable functions that have roots near this number. Hence, the calculator is of great importance for those working in numerical areas of experimental mathematics. The ISC contains 54 million mathematical constants.

  5. Propositional calculus - Wikipedia

    en.wikipedia.org/wiki/Propositional_calculus

    The propositional calculus [a] is a branch of logic. [1] It is also called propositional logic, [2] statement logic, [1] sentential calculus, [3] sentential logic, [4] [1] or sometimes zeroth-order logic. [b] [6] [7] [8] Sometimes, it is called first-order propositional logic [9] to contrast it with System F, but it should not be confused with ...

  6. Contraposition - Wikipedia

    en.wikipedia.org/wiki/Contraposition

    The converse is "If an object has color, then it is red." Objects can have other colors, so the converse of our statement is false. The negation is "There exists a red object that does not have color." This statement is false because the initial statement which it negates is true.

  7. TK Solver - Wikipedia

    en.wikipedia.org/wiki/TK_Solver

    The premium version now also includes a "Solution Optimizer" for direct setting of bounds and constraints in solving models [8] for minimum, maximum, or specific conditions. TK Solver includes roughly 150 built-in functions : mathematical, trigonometric , Boolean , numerical calculus , matrix operations, database access, and programming ...

  8. Gradient theorem - Wikipedia

    en.wikipedia.org/wiki/Gradient_theorem

    The converse statement of the gradient theorem also has a powerful generalization in terms of differential forms on manifolds. In particular, suppose ω is a form defined on a contractible domain, and the integral of ω over any closed manifold is zero. Then there exists a form ψ such that ω = dψ.

  9. List of rules of inference - Wikipedia

    en.wikipedia.org/wiki/List_of_rules_of_inference

    Propositional calculus; Rules of inference; Implication introduction / elimination (modus ponens) Biconditional introduction / elimination; Conjunction introduction / elimination; Disjunction introduction / elimination; Disjunctive / hypothetical syllogism; Constructive / destructive dilemma; Absorption / modus tollens / modus ponendo tollens