Stanford Online Course Relational Algebra - Set Difference Operator












0












$begingroup$


Problem: Consider a relation R(A) with r tuples, all unique within R, and a relation S(A) with s tuples, all unique within S. Let t represent the number of tuples in R minus S. Which of the following triples of values (r,s,t) is possible?



Potential Answers:



(10,13,8)



(5,3,1)



(5,0,3)



(8,2,2)



I tried to solve this on my own by creating 2 example tables with R(A) and S(A). I know with bag difference, an element appears in the difference A-B of bags as many times as it appears in A, minus the number of times it appears in B. But never less than 0 times.



Example:



Relation R



| A |  
|---|
| 1 |
| 2 |
| 3 |
| 4 |


Relation S



| A |  
|---|
| 4 |
| 5 |
| 6 |
| 7 |


If I do R - S I get the following result 1, 2, 3.



Couldn't it be any of the potential answers (Except '5,0,3') since the amount of tuples just has to be less than the number of tuples in A or B?










share|cite|improve this question









$endgroup$

















    0












    $begingroup$


    Problem: Consider a relation R(A) with r tuples, all unique within R, and a relation S(A) with s tuples, all unique within S. Let t represent the number of tuples in R minus S. Which of the following triples of values (r,s,t) is possible?



    Potential Answers:



    (10,13,8)



    (5,3,1)



    (5,0,3)



    (8,2,2)



    I tried to solve this on my own by creating 2 example tables with R(A) and S(A). I know with bag difference, an element appears in the difference A-B of bags as many times as it appears in A, minus the number of times it appears in B. But never less than 0 times.



    Example:



    Relation R



    | A |  
    |---|
    | 1 |
    | 2 |
    | 3 |
    | 4 |


    Relation S



    | A |  
    |---|
    | 4 |
    | 5 |
    | 6 |
    | 7 |


    If I do R - S I get the following result 1, 2, 3.



    Couldn't it be any of the potential answers (Except '5,0,3') since the amount of tuples just has to be less than the number of tuples in A or B?










    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      Problem: Consider a relation R(A) with r tuples, all unique within R, and a relation S(A) with s tuples, all unique within S. Let t represent the number of tuples in R minus S. Which of the following triples of values (r,s,t) is possible?



      Potential Answers:



      (10,13,8)



      (5,3,1)



      (5,0,3)



      (8,2,2)



      I tried to solve this on my own by creating 2 example tables with R(A) and S(A). I know with bag difference, an element appears in the difference A-B of bags as many times as it appears in A, minus the number of times it appears in B. But never less than 0 times.



      Example:



      Relation R



      | A |  
      |---|
      | 1 |
      | 2 |
      | 3 |
      | 4 |


      Relation S



      | A |  
      |---|
      | 4 |
      | 5 |
      | 6 |
      | 7 |


      If I do R - S I get the following result 1, 2, 3.



      Couldn't it be any of the potential answers (Except '5,0,3') since the amount of tuples just has to be less than the number of tuples in A or B?










      share|cite|improve this question









      $endgroup$




      Problem: Consider a relation R(A) with r tuples, all unique within R, and a relation S(A) with s tuples, all unique within S. Let t represent the number of tuples in R minus S. Which of the following triples of values (r,s,t) is possible?



      Potential Answers:



      (10,13,8)



      (5,3,1)



      (5,0,3)



      (8,2,2)



      I tried to solve this on my own by creating 2 example tables with R(A) and S(A). I know with bag difference, an element appears in the difference A-B of bags as many times as it appears in A, minus the number of times it appears in B. But never less than 0 times.



      Example:



      Relation R



      | A |  
      |---|
      | 1 |
      | 2 |
      | 3 |
      | 4 |


      Relation S



      | A |  
      |---|
      | 4 |
      | 5 |
      | 6 |
      | 7 |


      If I do R - S I get the following result 1, 2, 3.



      Couldn't it be any of the potential answers (Except '5,0,3') since the amount of tuples just has to be less than the number of tuples in A or B?







      relation-algebra






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Dec 4 '18 at 22:42









      Maggie LiuMaggie Liu

      11




      11






















          0






          active

          oldest

          votes











          Your Answer





          StackExchange.ifUsing("editor", function () {
          return StackExchange.using("mathjaxEditing", function () {
          StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
          StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
          });
          });
          }, "mathjax-editing");

          StackExchange.ready(function() {
          var channelOptions = {
          tags: "".split(" "),
          id: "69"
          };
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function() {
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled) {
          StackExchange.using("snippets", function() {
          createEditor();
          });
          }
          else {
          createEditor();
          }
          });

          function createEditor() {
          StackExchange.prepareEditor({
          heartbeatType: 'answer',
          autoActivateHeartbeat: false,
          convertImagesToLinks: true,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: 10,
          bindNavPrevention: true,
          postfix: "",
          imageUploader: {
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          },
          noCode: true, onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          });


          }
          });














          draft saved

          draft discarded


















          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3026281%2fstanford-online-course-relational-algebra-set-difference-operator%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown

























          0






          active

          oldest

          votes








          0






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes
















          draft saved

          draft discarded




















































          Thanks for contributing an answer to Mathematics Stack Exchange!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid



          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.


          Use MathJax to format equations. MathJax reference.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3026281%2fstanford-online-course-relational-algebra-set-difference-operator%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          How to change which sound is reproduced for terminal bell?

          Can I use Tabulator js library in my java Spring + Thymeleaf project?

          Title Spacing in Bjornstrup Chapter, Removing Chapter Number From Contents