SlideShare a Scribd company logo

Define a relation R on Zopf by aRb iff 2 divides a + b. Find all equ.pdf

•
•
S
SALES97

Define a relation R on Zopf by aRb iff 2 divides a + b. Find all equivalence classes w.r.t. R. Solution R: a congruent to -b ( mod 2 ) is an equivalence relation. We can easily see that it is reflexive,symmetric and transitive. a congruent to -b ( mod 2 ) iff either both a and b are odd or both a and b are even. The equivalence classes of R are [0]: all even integers [1]: all odd integers.

Education
1 of 1
Download to read offline
Define a relation R on Zopf by aRb iff 2 divides a + b. Find all equivalence classes w.r.t. R. Solution R: a congruent to -b ( mod 2 ) is an equivalence relation. We can easily see that it is reflexive,symmetric and transitive. a congruent to -b ( mod 2 ) iff either both a and b are odd or both a and b are even. The equivalence classes of R are [0]: all even integers [1]: all odd integers

Recommended

Blossom Corporation had 120,000 common shares outstanding on Decembe.pdf
Blossom Corporation had 120,000 common shares outstanding on Decembe.pdfBlossom Corporation had 120,000 common shares outstanding on Decembe.pdf
Blossom Corporation had 120,000 common shares outstanding on Decembe.pdfSALES97
 
A system experiences a phase change from liquid to solid. Is this exo.pdf
A system experiences a phase change from liquid to solid. Is this exo.pdfA system experiences a phase change from liquid to solid. Is this exo.pdf
A system experiences a phase change from liquid to solid. Is this exo.pdfSALES97
 
Write an equation of a tangent function with the following characters.pdf
Write an equation of a tangent function with the following characters.pdfWrite an equation of a tangent function with the following characters.pdf
Write an equation of a tangent function with the following characters.pdfSALES97
 
Why is a mixture of alcohol and water used, rather than simply water.pdf
Why is a mixture of alcohol and water used, rather than simply water.pdfWhy is a mixture of alcohol and water used, rather than simply water.pdf
Why is a mixture of alcohol and water used, rather than simply water.pdfSALES97
 
Why are the 1960s relatively turbulentSolutionAnswer1960s .pdf
Why are the 1960s relatively turbulentSolutionAnswer1960s .pdfWhy are the 1960s relatively turbulentSolutionAnswer1960s .pdf
Why are the 1960s relatively turbulentSolutionAnswer1960s .pdfSALES97
 
When acting as a neurotransmitter NO binds to the iron atom in vario.pdf
When acting as a neurotransmitter NO binds to the iron atom in vario.pdfWhen acting as a neurotransmitter NO binds to the iron atom in vario.pdf
When acting as a neurotransmitter NO binds to the iron atom in vario.pdfSALES97
 
Which of the following are reasons that Drosophila are an ideal exper.pdf
Which of the following are reasons that Drosophila are an ideal exper.pdfWhich of the following are reasons that Drosophila are an ideal exper.pdf
Which of the following are reasons that Drosophila are an ideal exper.pdfSALES97
 
What Michael acceptor is needed for the conjugate addition Beta - .pdf
What Michael acceptor is needed for the conjugate addition Beta - .pdfWhat Michael acceptor is needed for the conjugate addition Beta - .pdf
What Michael acceptor is needed for the conjugate addition Beta - .pdfSALES97
 

Recommended

Blossom Corporation had 120,000 common shares outstanding on Decembe.pdf
Blossom Corporation had 120,000 common shares outstanding on Decembe.pdfBlossom Corporation had 120,000 common shares outstanding on Decembe.pdf
Blossom Corporation had 120,000 common shares outstanding on Decembe.pdfSALES97
 
A system experiences a phase change from liquid to solid. Is this exo.pdf
A system experiences a phase change from liquid to solid. Is this exo.pdfA system experiences a phase change from liquid to solid. Is this exo.pdf
A system experiences a phase change from liquid to solid. Is this exo.pdfSALES97
 
Write an equation of a tangent function with the following characters.pdf
Write an equation of a tangent function with the following characters.pdfWrite an equation of a tangent function with the following characters.pdf
Write an equation of a tangent function with the following characters.pdfSALES97
 
Why is a mixture of alcohol and water used, rather than simply water.pdf
Why is a mixture of alcohol and water used, rather than simply water.pdfWhy is a mixture of alcohol and water used, rather than simply water.pdf
Why is a mixture of alcohol and water used, rather than simply water.pdfSALES97
 
Why are the 1960s relatively turbulentSolutionAnswer1960s .pdf
Why are the 1960s relatively turbulentSolutionAnswer1960s .pdfWhy are the 1960s relatively turbulentSolutionAnswer1960s .pdf
Why are the 1960s relatively turbulentSolutionAnswer1960s .pdfSALES97
 
When acting as a neurotransmitter NO binds to the iron atom in vario.pdf
When acting as a neurotransmitter NO binds to the iron atom in vario.pdfWhen acting as a neurotransmitter NO binds to the iron atom in vario.pdf
When acting as a neurotransmitter NO binds to the iron atom in vario.pdfSALES97
 
Which of the following are reasons that Drosophila are an ideal exper.pdf
Which of the following are reasons that Drosophila are an ideal exper.pdfWhich of the following are reasons that Drosophila are an ideal exper.pdf
Which of the following are reasons that Drosophila are an ideal exper.pdfSALES97
 
What Michael acceptor is needed for the conjugate addition Beta - .pdf
What Michael acceptor is needed for the conjugate addition Beta - .pdfWhat Michael acceptor is needed for the conjugate addition Beta - .pdf
What Michael acceptor is needed for the conjugate addition Beta - .pdfSALES97
 
What is the role of intuition in decision-makingSolutionIntui.pdf
What is the role of intuition in decision-makingSolutionIntui.pdfWhat is the role of intuition in decision-makingSolutionIntui.pdf
What is the role of intuition in decision-makingSolutionIntui.pdfSALES97
 
What is the difference between a HTML element’s id attribute and nam.pdf
What is the difference between a HTML element’s id attribute and nam.pdfWhat is the difference between a HTML element’s id attribute and nam.pdf
What is the difference between a HTML element’s id attribute and nam.pdfSALES97
 
What happens when youre Running Scripts without a console in Linux.pdf
What happens when youre Running Scripts without a console in Linux.pdfWhat happens when youre Running Scripts without a console in Linux.pdf
What happens when youre Running Scripts without a console in Linux.pdfSALES97
 
TrueFalse A virtual private network is a way to use the Internet to.pdf
TrueFalse A virtual private network is a way to use the Internet to.pdfTrueFalse A virtual private network is a way to use the Internet to.pdf
TrueFalse A virtual private network is a way to use the Internet to.pdfSALES97
 
The total physical units accounted for is the sum of the units co.pdf
The total physical units accounted for is the sum of the units co.pdfThe total physical units accounted for is the sum of the units co.pdf
The total physical units accounted for is the sum of the units co.pdfSALES97
 
The problem can be found below. I would like someone to run this. I .pdf
The problem can be found below. I would like someone to run this. I .pdfThe problem can be found below. I would like someone to run this. I .pdf
The problem can be found below. I would like someone to run this. I .pdfSALES97
 
The probability that a teacher will give an unannounced test duri.pdf
The probability that a teacher will give an unannounced test duri.pdfThe probability that a teacher will give an unannounced test duri.pdf
The probability that a teacher will give an unannounced test duri.pdfSALES97
 
The Orlando MedicalOrlando Medical Corporation financial statements.pdf
The Orlando MedicalOrlando Medical Corporation financial statements.pdfThe Orlando MedicalOrlando Medical Corporation financial statements.pdf
The Orlando MedicalOrlando Medical Corporation financial statements.pdfSALES97
 
The IP network is a virtual network and must rely on a link layer ne.pdf
The IP network is a virtual network and must rely on a link layer ne.pdfThe IP network is a virtual network and must rely on a link layer ne.pdf
The IP network is a virtual network and must rely on a link layer ne.pdfSALES97
 
Table 1 Endowment of Labor and Capital US 100 20 Canada 10 Workers Ma.pdf
Table 1 Endowment of Labor and Capital US 100 20 Canada 10 Workers Ma.pdfTable 1 Endowment of Labor and Capital US 100 20 Canada 10 Workers Ma.pdf
Table 1 Endowment of Labor and Capital US 100 20 Canada 10 Workers Ma.pdfSALES97
 
State if you agree or disagree with the statement made and whyLes.pdf
State if you agree or disagree with the statement made and whyLes.pdfState if you agree or disagree with the statement made and whyLes.pdf
State if you agree or disagree with the statement made and whyLes.pdfSALES97
 
subject.....project management.Tools and Processes Based on the pr.pdf
subject.....project management.Tools and Processes Based on the pr.pdfsubject.....project management.Tools and Processes Based on the pr.pdf
subject.....project management.Tools and Processes Based on the pr.pdfSALES97
 
Read and discuss the following three articles 1. ACAs Perform.pdf
Read and discuss the following three articles 1. ACAs Perform.pdfRead and discuss the following three articles 1. ACAs Perform.pdf
Read and discuss the following three articles 1. ACAs Perform.pdfSALES97
 
Question 1. Retrieve the first and last names and department numbe.pdf
Question 1. Retrieve the first and last names and department numbe.pdfQuestion 1. Retrieve the first and last names and department numbe.pdf
Question 1. Retrieve the first and last names and department numbe.pdfSALES97
 
Polysaccharides, lipids, and proteins are similar in that they A) ar.pdf
Polysaccharides, lipids, and proteins are similar in that they A) ar.pdfPolysaccharides, lipids, and proteins are similar in that they A) ar.pdf
Polysaccharides, lipids, and proteins are similar in that they A) ar.pdfSALES97
 
Please make the complete program, Distinguish between header files a.pdf
Please make the complete program, Distinguish between header files a.pdfPlease make the complete program, Distinguish between header files a.pdf
Please make the complete program, Distinguish between header files a.pdfSALES97
 
Part CYou are a graduate student in the lab of a famous fly geneti.pdf
Part CYou are a graduate student in the lab of a famous fly geneti.pdfPart CYou are a graduate student in the lab of a famous fly geneti.pdf
Part CYou are a graduate student in the lab of a famous fly geneti.pdfSALES97
 
Part A Calculations for Solution Preparation d. Calculate the mass o.pdf
Part A Calculations for Solution Preparation d. Calculate the mass o.pdfPart A Calculations for Solution Preparation d. Calculate the mass o.pdf
Part A Calculations for Solution Preparation d. Calculate the mass o.pdfSALES97
 
In java.Write a class called GenDoubleLinkedList which is a generi.pdf
In java.Write a class called GenDoubleLinkedList which is a generi.pdfIn java.Write a class called GenDoubleLinkedList which is a generi.pdf
In java.Write a class called GenDoubleLinkedList which is a generi.pdfSALES97
 
Let G and H be disjoint events in some sample space . The probabilit.pdf
Let G and H be disjoint events in some sample space . The probabilit.pdfLet G and H be disjoint events in some sample space . The probabilit.pdf
Let G and H be disjoint events in some sample space . The probabilit.pdfSALES97
 
Trauma-Informed Leadership - Five Practical Principles
Trauma-Informed Leadership - Five Practical PrinciplesTrauma-Informed Leadership - Five Practical Principles
Trauma-Informed Leadership - Five Practical PrinciplesPooky Knightsmith
 
PSYPACT- Practicing Over State Lines May 2024.pptx
PSYPACT- Practicing Over State Lines May 2024.pptxPSYPACT- Practicing Over State Lines May 2024.pptx
PSYPACT- Practicing Over State Lines May 2024.pptxMarlene Maheu
 

More Related Content

More from SALES97

What is the role of intuition in decision-makingSolutionIntui.pdf
What is the role of intuition in decision-makingSolutionIntui.pdfWhat is the role of intuition in decision-makingSolutionIntui.pdf
What is the role of intuition in decision-makingSolutionIntui.pdfSALES97
 
What is the difference between a HTML element’s id attribute and nam.pdf
What is the difference between a HTML element’s id attribute and nam.pdfWhat is the difference between a HTML element’s id attribute and nam.pdf
What is the difference between a HTML element’s id attribute and nam.pdfSALES97
 
What happens when youre Running Scripts without a console in Linux.pdf
What happens when youre Running Scripts without a console in Linux.pdfWhat happens when youre Running Scripts without a console in Linux.pdf
What happens when youre Running Scripts without a console in Linux.pdfSALES97
 
TrueFalse A virtual private network is a way to use the Internet to.pdf
TrueFalse A virtual private network is a way to use the Internet to.pdfTrueFalse A virtual private network is a way to use the Internet to.pdf
TrueFalse A virtual private network is a way to use the Internet to.pdfSALES97
 
The total physical units accounted for is the sum of the units co.pdf
The total physical units accounted for is the sum of the units co.pdfThe total physical units accounted for is the sum of the units co.pdf
The total physical units accounted for is the sum of the units co.pdfSALES97
 
The problem can be found below. I would like someone to run this. I .pdf
The problem can be found below. I would like someone to run this. I .pdfThe problem can be found below. I would like someone to run this. I .pdf
The problem can be found below. I would like someone to run this. I .pdfSALES97
 
The probability that a teacher will give an unannounced test duri.pdf
The probability that a teacher will give an unannounced test duri.pdfThe probability that a teacher will give an unannounced test duri.pdf
The probability that a teacher will give an unannounced test duri.pdfSALES97
 
The Orlando MedicalOrlando Medical Corporation financial statements.pdf
The Orlando MedicalOrlando Medical Corporation financial statements.pdfThe Orlando MedicalOrlando Medical Corporation financial statements.pdf
The Orlando MedicalOrlando Medical Corporation financial statements.pdfSALES97
 
The IP network is a virtual network and must rely on a link layer ne.pdf
The IP network is a virtual network and must rely on a link layer ne.pdfThe IP network is a virtual network and must rely on a link layer ne.pdf
The IP network is a virtual network and must rely on a link layer ne.pdfSALES97
 
Table 1 Endowment of Labor and Capital US 100 20 Canada 10 Workers Ma.pdf
Table 1 Endowment of Labor and Capital US 100 20 Canada 10 Workers Ma.pdfTable 1 Endowment of Labor and Capital US 100 20 Canada 10 Workers Ma.pdf
Table 1 Endowment of Labor and Capital US 100 20 Canada 10 Workers Ma.pdfSALES97
 
State if you agree or disagree with the statement made and whyLes.pdf
State if you agree or disagree with the statement made and whyLes.pdfState if you agree or disagree with the statement made and whyLes.pdf
State if you agree or disagree with the statement made and whyLes.pdfSALES97
 
subject.....project management.Tools and Processes Based on the pr.pdf
subject.....project management.Tools and Processes Based on the pr.pdfsubject.....project management.Tools and Processes Based on the pr.pdf
subject.....project management.Tools and Processes Based on the pr.pdfSALES97
 
Read and discuss the following three articles 1. ACAs Perform.pdf
Read and discuss the following three articles 1. ACAs Perform.pdfRead and discuss the following three articles 1. ACAs Perform.pdf
Read and discuss the following three articles 1. ACAs Perform.pdfSALES97
 
Question 1. Retrieve the first and last names and department numbe.pdf
Question 1. Retrieve the first and last names and department numbe.pdfQuestion 1. Retrieve the first and last names and department numbe.pdf
Question 1. Retrieve the first and last names and department numbe.pdfSALES97
 
Polysaccharides, lipids, and proteins are similar in that they A) ar.pdf
Polysaccharides, lipids, and proteins are similar in that they A) ar.pdfPolysaccharides, lipids, and proteins are similar in that they A) ar.pdf
Polysaccharides, lipids, and proteins are similar in that they A) ar.pdfSALES97
 
Please make the complete program, Distinguish between header files a.pdf
Please make the complete program, Distinguish between header files a.pdfPlease make the complete program, Distinguish between header files a.pdf
Please make the complete program, Distinguish between header files a.pdfSALES97
 
Part CYou are a graduate student in the lab of a famous fly geneti.pdf
Part CYou are a graduate student in the lab of a famous fly geneti.pdfPart CYou are a graduate student in the lab of a famous fly geneti.pdf
Part CYou are a graduate student in the lab of a famous fly geneti.pdfSALES97
 
Part A Calculations for Solution Preparation d. Calculate the mass o.pdf
Part A Calculations for Solution Preparation d. Calculate the mass o.pdfPart A Calculations for Solution Preparation d. Calculate the mass o.pdf
Part A Calculations for Solution Preparation d. Calculate the mass o.pdfSALES97
 
In java.Write a class called GenDoubleLinkedList which is a generi.pdf
In java.Write a class called GenDoubleLinkedList which is a generi.pdfIn java.Write a class called GenDoubleLinkedList which is a generi.pdf
In java.Write a class called GenDoubleLinkedList which is a generi.pdfSALES97
 
Let G and H be disjoint events in some sample space . The probabilit.pdf
Let G and H be disjoint events in some sample space . The probabilit.pdfLet G and H be disjoint events in some sample space . The probabilit.pdf
Let G and H be disjoint events in some sample space . The probabilit.pdfSALES97
 

More from SALES97 (20)

What is the role of intuition in decision-makingSolutionIntui.pdf
What is the role of intuition in decision-makingSolutionIntui.pdfWhat is the role of intuition in decision-makingSolutionIntui.pdf
What is the role of intuition in decision-makingSolutionIntui.pdf
 
What is the difference between a HTML element’s id attribute and nam.pdf
What is the difference between a HTML element’s id attribute and nam.pdfWhat is the difference between a HTML element’s id attribute and nam.pdf
What is the difference between a HTML element’s id attribute and nam.pdf
 
What happens when youre Running Scripts without a console in Linux.pdf
What happens when youre Running Scripts without a console in Linux.pdfWhat happens when youre Running Scripts without a console in Linux.pdf
What happens when youre Running Scripts without a console in Linux.pdf
 
TrueFalse A virtual private network is a way to use the Internet to.pdf
TrueFalse A virtual private network is a way to use the Internet to.pdfTrueFalse A virtual private network is a way to use the Internet to.pdf
TrueFalse A virtual private network is a way to use the Internet to.pdf
 
The total physical units accounted for is the sum of the units co.pdf
The total physical units accounted for is the sum of the units co.pdfThe total physical units accounted for is the sum of the units co.pdf
The total physical units accounted for is the sum of the units co.pdf
 
The problem can be found below. I would like someone to run this. I .pdf
The problem can be found below. I would like someone to run this. I .pdfThe problem can be found below. I would like someone to run this. I .pdf
The problem can be found below. I would like someone to run this. I .pdf
 
The probability that a teacher will give an unannounced test duri.pdf
The probability that a teacher will give an unannounced test duri.pdfThe probability that a teacher will give an unannounced test duri.pdf
The probability that a teacher will give an unannounced test duri.pdf
 
The Orlando MedicalOrlando Medical Corporation financial statements.pdf
The Orlando MedicalOrlando Medical Corporation financial statements.pdfThe Orlando MedicalOrlando Medical Corporation financial statements.pdf
The Orlando MedicalOrlando Medical Corporation financial statements.pdf
 
The IP network is a virtual network and must rely on a link layer ne.pdf
The IP network is a virtual network and must rely on a link layer ne.pdfThe IP network is a virtual network and must rely on a link layer ne.pdf
The IP network is a virtual network and must rely on a link layer ne.pdf
 
Table 1 Endowment of Labor and Capital US 100 20 Canada 10 Workers Ma.pdf
Table 1 Endowment of Labor and Capital US 100 20 Canada 10 Workers Ma.pdfTable 1 Endowment of Labor and Capital US 100 20 Canada 10 Workers Ma.pdf
Table 1 Endowment of Labor and Capital US 100 20 Canada 10 Workers Ma.pdf
 
State if you agree or disagree with the statement made and whyLes.pdf
State if you agree or disagree with the statement made and whyLes.pdfState if you agree or disagree with the statement made and whyLes.pdf
State if you agree or disagree with the statement made and whyLes.pdf
 
subject.....project management.Tools and Processes Based on the pr.pdf
subject.....project management.Tools and Processes Based on the pr.pdfsubject.....project management.Tools and Processes Based on the pr.pdf
subject.....project management.Tools and Processes Based on the pr.pdf
 
Read and discuss the following three articles 1. ACAs Perform.pdf
Read and discuss the following three articles 1. ACAs Perform.pdfRead and discuss the following three articles 1. ACAs Perform.pdf
Read and discuss the following three articles 1. ACAs Perform.pdf
 
Question 1. Retrieve the first and last names and department numbe.pdf
Question 1. Retrieve the first and last names and department numbe.pdfQuestion 1. Retrieve the first and last names and department numbe.pdf
Question 1. Retrieve the first and last names and department numbe.pdf
 
Polysaccharides, lipids, and proteins are similar in that they A) ar.pdf
Polysaccharides, lipids, and proteins are similar in that they A) ar.pdfPolysaccharides, lipids, and proteins are similar in that they A) ar.pdf
Polysaccharides, lipids, and proteins are similar in that they A) ar.pdf
 
Please make the complete program, Distinguish between header files a.pdf
Please make the complete program, Distinguish between header files a.pdfPlease make the complete program, Distinguish between header files a.pdf
Please make the complete program, Distinguish between header files a.pdf
 
Part CYou are a graduate student in the lab of a famous fly geneti.pdf
Part CYou are a graduate student in the lab of a famous fly geneti.pdfPart CYou are a graduate student in the lab of a famous fly geneti.pdf
Part CYou are a graduate student in the lab of a famous fly geneti.pdf
 
Part A Calculations for Solution Preparation d. Calculate the mass o.pdf
Part A Calculations for Solution Preparation d. Calculate the mass o.pdfPart A Calculations for Solution Preparation d. Calculate the mass o.pdf
Part A Calculations for Solution Preparation d. Calculate the mass o.pdf
 
In java.Write a class called GenDoubleLinkedList which is a generi.pdf
In java.Write a class called GenDoubleLinkedList which is a generi.pdfIn java.Write a class called GenDoubleLinkedList which is a generi.pdf
In java.Write a class called GenDoubleLinkedList which is a generi.pdf
 
Let G and H be disjoint events in some sample space . The probabilit.pdf
Let G and H be disjoint events in some sample space . The probabilit.pdfLet G and H be disjoint events in some sample space . The probabilit.pdf
Let G and H be disjoint events in some sample space . The probabilit.pdf
 

Recently uploaded

Trauma-Informed Leadership - Five Practical Principles
Trauma-Informed Leadership - Five Practical PrinciplesTrauma-Informed Leadership - Five Practical Principles
Trauma-Informed Leadership - Five Practical PrinciplesPooky Knightsmith
 
PSYPACT- Practicing Over State Lines May 2024.pptx
PSYPACT- Practicing Over State Lines May 2024.pptxPSYPACT- Practicing Over State Lines May 2024.pptx
PSYPACT- Practicing Over State Lines May 2024.pptxMarlene Maheu
 
diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....Ritu480198
 
DEMONSTRATION LESSON IN ENGLISH 4 MATATAG CURRICULUM
DEMONSTRATION LESSON IN ENGLISH 4 MATATAG CURRICULUMDEMONSTRATION LESSON IN ENGLISH 4 MATATAG CURRICULUM
DEMONSTRATION LESSON IN ENGLISH 4 MATATAG CURRICULUMELOISARIVERA8
 
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes GuàrdiaPersonalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes GuàrdiaEADTU
 
Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPSSpellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPSAnaAcapella
 
male presentation...pdf.................
male presentation...pdf.................male presentation...pdf.................
male presentation...pdf.................MirzaAbrarBaig5
 
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽中 央社
 
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdfFICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdfPondicherry University
 
e-Sealing at EADTU by Kamakshi Rajagopal
e-Sealing at EADTU by Kamakshi Rajagopale-Sealing at EADTU by Kamakshi Rajagopal
e-Sealing at EADTU by Kamakshi RajagopalEADTU
 
Observing-Correct-Grammar-in-Making-Definitions.pptx
Observing-Correct-Grammar-in-Making-Definitions.pptxObserving-Correct-Grammar-in-Making-Definitions.pptx
Observing-Correct-Grammar-in-Making-Definitions.pptxAdelaideRefugio
 
Sternal Fractures & Dislocations - EMGuidewire Radiology Reading Room
Sternal Fractures & Dislocations - EMGuidewire Radiology Reading RoomSternal Fractures & Dislocations - EMGuidewire Radiology Reading Room
Sternal Fractures & Dislocations - EMGuidewire Radiology Reading RoomSean M. Fox
 
Improved Approval Flow in Odoo 17 Studio App
Improved Approval Flow in Odoo 17 Studio AppImproved Approval Flow in Odoo 17 Studio App
Improved Approval Flow in Odoo 17 Studio AppCeline George
 
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...Nguyen Thanh Tu Collection
 
SPLICE Working Group: Reusable Code Examples
SPLICE Working Group: Reusable Code ExamplesSPLICE Working Group: Reusable Code Examples
SPLICE Working Group: Reusable Code ExamplesPeter Brusilovsky
 
Graduate Outcomes Presentation Slides - English (v3).pptx
Graduate Outcomes Presentation Slides - English (v3).pptxGraduate Outcomes Presentation Slides - English (v3).pptx
Graduate Outcomes Presentation Slides - English (v3).pptxneillewis46
 
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...Nguyen Thanh Tu Collection
 
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...Nguyen Thanh Tu Collection
 
Basic Civil Engineering notes on Transportation Engineering & Modes of Transport
Basic Civil Engineering notes on Transportation Engineering & Modes of TransportBasic Civil Engineering notes on Transportation Engineering & Modes of Transport
Basic Civil Engineering notes on Transportation Engineering & Modes of TransportDenish Jangid
 

Recently uploaded (20)

Trauma-Informed Leadership - Five Practical Principles
Trauma-Informed Leadership - Five Practical PrinciplesTrauma-Informed Leadership - Five Practical Principles
Trauma-Informed Leadership - Five Practical Principles
 
PSYPACT- Practicing Over State Lines May 2024.pptx
PSYPACT- Practicing Over State Lines May 2024.pptxPSYPACT- Practicing Over State Lines May 2024.pptx
PSYPACT- Practicing Over State Lines May 2024.pptx
 
Supporting Newcomer Multilingual Learners
Supporting Newcomer Multilingual LearnersSupporting Newcomer Multilingual Learners
Supporting Newcomer Multilingual Learners
 
diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....
 
DEMONSTRATION LESSON IN ENGLISH 4 MATATAG CURRICULUM
DEMONSTRATION LESSON IN ENGLISH 4 MATATAG CURRICULUMDEMONSTRATION LESSON IN ENGLISH 4 MATATAG CURRICULUM
DEMONSTRATION LESSON IN ENGLISH 4 MATATAG CURRICULUM
 
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes GuàrdiaPersonalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
 
Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPSSpellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
 
male presentation...pdf.................
male presentation...pdf.................male presentation...pdf.................
male presentation...pdf.................
 
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽會考英聽
 
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdfFICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
 
e-Sealing at EADTU by Kamakshi Rajagopal
e-Sealing at EADTU by Kamakshi Rajagopale-Sealing at EADTU by Kamakshi Rajagopal
e-Sealing at EADTU by Kamakshi Rajagopal
 
Observing-Correct-Grammar-in-Making-Definitions.pptx
Observing-Correct-Grammar-in-Making-Definitions.pptxObserving-Correct-Grammar-in-Making-Definitions.pptx
Observing-Correct-Grammar-in-Making-Definitions.pptx
 
Sternal Fractures & Dislocations - EMGuidewire Radiology Reading Room
Sternal Fractures & Dislocations - EMGuidewire Radiology Reading RoomSternal Fractures & Dislocations - EMGuidewire Radiology Reading Room
Sternal Fractures & Dislocations - EMGuidewire Radiology Reading Room
 
Improved Approval Flow in Odoo 17 Studio App
Improved Approval Flow in Odoo 17 Studio AppImproved Approval Flow in Odoo 17 Studio App
Improved Approval Flow in Odoo 17 Studio App
 
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
 
SPLICE Working Group: Reusable Code Examples
SPLICE Working Group: Reusable Code ExamplesSPLICE Working Group: Reusable Code Examples
SPLICE Working Group: Reusable Code Examples
 
Graduate Outcomes Presentation Slides - English (v3).pptx
Graduate Outcomes Presentation Slides - English (v3).pptxGraduate Outcomes Presentation Slides - English (v3).pptx
Graduate Outcomes Presentation Slides - English (v3).pptx
 
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...
 
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT TOÁN 2024 - TỪ CÁC TRƯỜNG, TRƯỜNG...
 
Basic Civil Engineering notes on Transportation Engineering & Modes of Transport
Basic Civil Engineering notes on Transportation Engineering & Modes of TransportBasic Civil Engineering notes on Transportation Engineering & Modes of Transport
Basic Civil Engineering notes on Transportation Engineering & Modes of Transport
 

Define a relation R on Zopf by aRb iff 2 divides a + b. Find all equ.pdf

  • 1. Define a relation R on Zopf by aRb iff 2 divides a + b. Find all equivalence classes w.r.t. R. Solution R: a congruent to -b ( mod 2 ) is an equivalence relation. We can easily see that it is reflexive,symmetric and transitive. a congruent to -b ( mod 2 ) iff either both a and b are odd or both a and b are even. The equivalence classes of R are [0]: all even integers [1]: all odd integers