Quick Question about Math : Diagrams

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In summary, diagrams are visual representations used in math to illustrate and clarify complex ideas, and to help students visualize and understand mathematical concepts more easily. Common types of diagrams include Venn diagrams, bar graphs, line graphs, pie charts, and coordinate planes. To read and interpret a math diagram, one should understand key elements such as labels, scales, and units, and then analyze the visual representation to identify patterns and relationships. Diagrams can be used in all branches of math, and they can be helpful in problem-solving by providing a visual representation of the problem, identifying patterns and relationships, and communicating solutions to others.
  • #1
masterchiefo
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Homework Statement


A system , which comprises three components (A , B and C ) , the system fails if the first component ( A) has failed or if the other two fail simultaneously. It will be assumed that all components operate independently.

Question: Choose from the following diagrams that best fits this description :
http://i.imgur.com/JRFGFkS.png

Homework Equations

The Attempt at a Solution


My answer:
http://i.imgur.com/B6Op3ym.png

Just want to make sure I'm correct.

Thanks.
 
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  • #2
That's not how I would interpret those diagrams. What's your thinking?
 
  • #3
masterchiefo said:

Homework Statement


A system , which comprises three components (A , B and C ) , the system fails if the first component ( A) has failed or if the other two fail simultaneously. It will be assumed that all components operate independently.

Question: Choose from the following diagrams that best fits this description :
http://i.imgur.com/JRFGFkS.png

Homework Equations

The Attempt at a Solution


My answer:
http://i.imgur.com/B6Op3ym.png

Just want to make sure I'm correct.

Thanks.

You should refer to the conventions used in your course notes and/or textbook. The "usual" interpretation of such diagrams is that when the component is operational a signal (or whatever) gets through that branch successfully. You seem to be using the opposite convention in which you look at "failure" rather than "success", but as I said, you should double-check the conventions used in your course. Depending on the interpretation, the answers will be completely different.
 
  • #4
Edit: looking at my note books.
 
Last edited:
  • #5
Ray Vickson said:
You should refer to the conventions used in your course notes and/or textbook. The "usual" interpretation of such diagrams is that when the component is operational a signal (or whatever) gets through that branch successfully. You seem to be using the opposite convention in which you look at "failure" rather than "success", but as I said, you should double-check the conventions used in your course. Depending on the interpretation, the answers will be completely different.
PeroK said:
That's not how I would interpret those diagrams. What's your thinking?
I was interpreting it wrong:

Here is the correct answer:
http://i.imgur.com/ynKj6x7.png

do you guys agree?
 
  • #6
I don't think "or" is the key word. I think the key words are system and failure. You first need to define what it means for your system to fail.

In the diagram you chose, describe the state of the system as it is. And then describe the state of the system if A has failed.

What is the system doing?
 
  • #7
masterchiefo said:
I was interpreting it wrong:

Here is the correct answer:
http://i.imgur.com/ynKj6x7.png

do you guys agree?

Yes. Think of an IT system with A, B and C as front-end components. When is your system down?
 
  • #8
masterchiefo said:
I was interpreting it wrong:

Here is the correct answer:
http://i.imgur.com/ynKj6x7.png

do you guys agree?

I do, yes (assuming that "component works" = "signal gets through").
 

FAQ: Quick Question about Math : Diagrams

What are diagrams used for in math?

Diagrams are visual representations of mathematical concepts and relationships. They are used to illustrate and clarify complex ideas, and to help students visualize and understand mathematical concepts more easily.

What types of diagrams are commonly used in math?

Common types of diagrams used in math include Venn diagrams, bar graphs, line graphs, pie charts, and coordinate planes. These diagrams can be used to represent data, relationships between sets, and functions, among other concepts.

How do I read and interpret a math diagram?

To read and interpret a math diagram, start by understanding the key elements such as labels, scales, and units. Then, analyze the visual representation to identify patterns, trends, and relationships. Finally, interpret the information in the context of the problem or concept being illustrated.

Can diagrams be used in all branches of math?

Yes, diagrams can be used in all branches of math, from basic arithmetic and algebra to more advanced topics like geometry, calculus, and statistics. They are a versatile tool that can help students better understand and solve problems in all areas of mathematics.

How can diagrams be helpful in problem-solving?

Diagrams can be helpful in problem-solving by providing a visual representation of the problem, making it easier to understand and analyze. They can also help to identify patterns and relationships, and to visualize potential solutions. Additionally, diagrams can be used to check the accuracy of a solution and communicate the solution to others.

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