Definition. FractionalPart[x] takes all digits to the right of the decimal point and drops the others. 3. Define a relation R on R as xRy if and only FractionalPart[x]= FractionalPart[y]. Prove R is an equivalence relation. Describe its equivalence classes.
Definition. FractionalPart[x] takes all digits to the right of the decimal point and drops the others. 3. Define a relation R on R as xRy if and only FractionalPart[x]= FractionalPart[y]. Prove R is an equivalence relation. Describe its equivalence classes.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Definition. FractionalPart[x] takes all digits to the right of the decimal point and drops the others.
3. Define a relation R on R as xRy if and only FractionalPart[x]= FractionalPart[y]. Prove R is an
equivalence relation. Describe its equivalence classes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b1372ae-e668-4971-89ee-29da7ac7c466%2F7cdfa3ee-c3cb-4d1a-8a51-c5fa2d2cda5e%2Frlyjtjq.jpeg&w=3840&q=75)
Transcribed Image Text:Definition. FractionalPart[x] takes all digits to the right of the decimal point and drops the others.
3. Define a relation R on R as xRy if and only FractionalPart[x]= FractionalPart[y]. Prove R is an
equivalence relation. Describe its equivalence classes.
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