Open AccessAnalytic determination of values on the truth table: possible implications
Author(s) -
Etorobong Godwin Akpan
Publication year - 2017
Publication title -
afrrev stech
Language(s) - English
Resource type - Journals
eISSN - 2227-5444
pISSN - 2225-8612
DOI - 10.4314/stech.v6i1.6
Subject(s) - table (database) , truth table , row , function (biology) , algebraic number , value (mathematics) , truth value , set (abstract data type) , statement (logic) , coordinate system , mathematics , computer science , geometry , algorithm , statistics , mathematical analysis , data mining , philosophy , epistemology , programming language , evolutionary biology , biology
The paper refers to the traditional approach used in the specification of values on the statement constant columns of the truth table as pictorial. It differentiates it from the αyx coordinate model, which it introduces as an analytic approach for the achievement of the same objective. The coordinate is stated as: αxy= x /2(2n/2y) . The αyx is shown by analysis to derive from the coordinate of x and y as αyx= x/y . y is shown to derive from the coefficient of Cy and Cy=2n/2y(T,F)2y/2. Cy is an algebraic function introduced in the paper for the computation of truth table columns. The paper shows by implication that the delineation of the value of any truth table unit no longer stands in need of pictorial aids due to the introduction of the coordinate. Results from analysis shows that the specific value of a truth table unit could be determined set theoretically, without an actual truth table provided the αyx coordinate is applied.Keywords: Algebraic Function, Coordinate, Columns, Rows, Truth Table, Truth Value