diagram

Examples of diagram in the following topics:

• Major Features of a Phase Diagram

  • Phase diagrams are useful because they allow us to understand in what state matter exists under certain conditions.
  • The simplest phase diagrams are of pure substances.
  • These diagrams plot pressure on the y-axis and temperature on the x-axis.
  • The major features of a phase diagram are phase boundaries and the triple point.
  • The phase diagram for water is useful for learning how to analyze these diagrams.

• Motion Diagrams

  • A motion diagram is a pictorial description of the motion of an object.
  • It displays the object's location at various equally spaced times on the same diagram; shows an object's initial position and velocity; and presents several spots in the center of the diagram.
  • For this reason, a motion diagram is more information than a path diagram.
  • is a motion diagram of a simple trajectory.
  • Motion diagram of a puck sliding on ice.

• Interpreting Phase Diagrams

  • Phase diagrams illustrate the effects selected variables of a system have on the state of matter.
  • Phase diagrams illustrate the effects selected variables of a system have on the state of matter.
  • Phase diagrams can also be used to explain the behavior of a pure sample of matter at the critical point.
  • When evaluating the phase diagram, it is worth noting that the solid-liquid phase boundary in the phase diagram of most substances has a positive slope.
  • A typical phase diagram illustrating the major components of a phase diagram as well as the critical point.

• Trigonometry

  • In physics, most problems are solved much more easily when a free body diagram is used.
  • Free body diagrams use geometry and vectors to visually represent the problem.
  • When people draw free body diagrams, often not everything is perfectly parallel and perpendicular.
  • This exercise involves drawing the free body diagram.
  • Removing all other elements from the image helps produce the finished free body diagram .

• Associations

  • Note that the 0 does not mean that the person whose satisfaction is being diagrammed has no satisfaction.
  • Satisfaction is always a positive number, and since the diagram assumes (correctly) that the individual's satisfaction could be lower, its current value must be greater than 0.
  • (To diagram the relationship of our individual to yet another person would require an additional diagram: Jones may simultaneously be associated with Smith and not associated with Baker. )
  • All three of the following diagrams are therefore simultaneously true:
  • Obviously, these diagrams express only relative levels of satisfaction rather than absolute satisfaction.

• Student Learning Outcomes

• Tree diagrams

  • Tree diagrams are a tool to organize outcomes and probabilities around the structure of the data.
  • This structure is reflected in the tree diagram shown in Figure 2.17.
  • With the tree diagram constructed, we may compute the required probabilities:
  • Of those who can construct tree diagrams, 97% passed, while only 57% of those students who could not construct tree diagrams passed.
  • (c) P(construct tree diagram | passed) = 0.7566/0.8820 = 0.8578.

• General Problem-Solving Tricks

  • Free body diagrams use geometry and vectors to visually represent the problem.
  • A simple free body diagram, shown above, of a block on a ramp illustrates this.
  • Some care is needed in interpreting the diagram.
  • (See the other force arrows in the diagram).
  • So you will want to include the following things in the diagram:

• Evaluate Alternatives

  • In order to eliminate bias in a decision, one can use tools such as influence diagrams and decision trees to evaluate alternatives.
  • Another tool that decision makers can use to analyze alternatives is an influence diagram.
  • An influence diagram is a compact graphical and mathematical representation of a decision situation.
  • In the scenario depicted by the influence diagram above, a person is choosing between vacation alternatives.
  • This is a simple example of an influence diagram used to evaluate the alternatives of a decision.

• Tree Diagrams (optional)

  • The following example illustrates how to use a tree diagram.
  • Using the tree diagram, calculate P(R on 1st draw AND B on 2nd draw).
  • Using the tree diagram, calculate P(R on 2nd draw given B on 1st draw).
  • Below is a tree diagram.
  • Calculate the following probabilities using the tree diagram.