fuzzy logic 3


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Logic Gates
symbol for negation A Logic Gates - There are digital circuits which either allow a signal to pass through or stop it. The circuits other wise called as gate allows the signal to pass only when some logical condition are satisfied. Under such condition the circuits are called logic gates. T..
Logical connectives and compound statements
Normally propositions are joined by 'OR', 'AND', 'NOT', 'IF .. THEN..' and 'IF AND ONLY IF' called the logical connectives . They are symbolised as follows: If two or more statements are combined by the use of words like 'AND', 'OR', 'IF AND ONLY IF ', then the resulting statement is ..
Application of sets
The theory of finite sets is, arguably, a definition of Combinatorics. In particular, certain combinatorial topics (e.g. Ramsey theory) have important direct analogues in "combinatorial" set theory. Since Axiomatic Set Theory is often used to construct the natural numbers (satisfying the Pean..
Arguments and their Validity
Arguments and their Validity - A compound proposition is a tautology if it is always true for all possible combination of the truth values of its components. If a compound proposition which is always false for all possible combination of the truth values, of its components then it is called a contr..
Module Four: Statistical Inference
Module Four: Statistical Inference - Estimation (point estimators and confidence intervals): Estimating population parameters and margins of error Properties of point estimators, including unbiasedness and variability Logic of confidence intervals, meaning of confidence level and confiden..
Mathematical Induction Introduction
. Though intuitively we can say that if the next to the last book falls, the last book also falls, but this needs to be proved by logical reasoning. Now let us consider the following. 1. Assume that there is some book 'k' which doesn't fall over i.e., k is the first book which behaves in ..
Geometry And Measurement
Logical reasoning Geometric proofs Euclidean/non-Euclidean geometries Formal/informal proofs Conditional statements Pythagorean Theorem Intersection of a plane with 3-d figures Congruence, similarity, triangle inequality theorem Properties of quadrilaterals, circles, p..
Metric Units in Common Use and their Relationship
At last in 1789 a system of measurement was invented based upon the powers of ten. Each unit quantity was divided into ten parts and each of these parts into further ten and so on. Multiples of the unit are ten, one hundred, one thousand etc. This was very logical. Once the size of the u..
Scientific Methodology
Science is basically a collection of knowledge and information that is obtained by observation and testing of natural world, in a logical and orderly manner, and its interpretation. Hence, the basis of science is its orderly, step-wise procedure called scientific method. It is a frame of..
Scientific Methodology
Scientific Methodology - Science is basically a collection of knowledge and information that is obtained by observation and testing of natural world, in a logical and orderly manner, and its interpretation. Hence, the basis of science is its orderly, step-wise procedure called scientific ..
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