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Chapter 8

# CGSC170 Chapter Notes - Chapter 8: Boolean Function, George Boole, Sentence Clause Structure

Department
Cognitive Science
Course Code
CGSC170
Professor
Kaja Jasinka
Chapter
8

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Single Layer Networks and Boolean functions
Mapping Functions
ā Functions are understood strictly mathematically in this sense
ā Ex-1-
ā Two numbers as inputs yields a third number as the output
ā Output is the sum of two inputs
ā Ex-2
ā  a set of numbers
ā Domain
ā  Another set of numbers
ā Range
ā  A mapping function maps each item from the domain onto exactly one
item from the range
ā 1:1 ratio
ā No item from the domain gets mapped more than once
ā No item from the domain gets mapped to more than one item in the
range
ā Functions are single valued
ā Ex3- square roots of numbers are not found through functions because for every
positive number there is 2 square roots
ā Two number in the domain may b mapped to a single item in a range