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

by OC1228408

School

University of DelawareDepartment

Cognitive ScienceCourse Code

CGSC170Professor

Kaja JasinkaChapter

8This

**preview**shows half of the first page. to view the full**3 pages of the document.**Single Layer Networks and Boolean functions

Mapping Functions

ā Functions are understood strictly mathematically in this sense

ā Ex-1-

ā Addition is a function

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

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