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288   Chapter Nine


                               Normal useful action

                               Insufficient useful action

                               Excessive useful action  Figure 9.1    Legends for various
                                                    actions in functional analysis
                                                    diagrams.
                               Harmful action


             However, if we use the toothbrush too gently and do not brush long enough,
             or we use a worn toothbrush, then our teeth will not get enough cleaning. In
             this case, we call it an “insufficient useful action” and we can express this by
             using the following functional analysis diagram:

                                          Brush
                               Toothbrush           Teeth
                                          Mech.
             If we use a very strong toothbrush, and brush our teeth with large force and
             strong strokes, then our gums will get hurt, and so will our teeth. We can
             use the following functional analysis diagram to describe this situation:
                                         Brush
                             Toothbrush               Teeth
                                            Wear

                                          Tear
                                                      Gums


             That is, the toothbrush delivers excessive brush action to teeth, and exces-
             sive brushing will deliver a harmful action, “tearing the gums,” making
             them bleed; and the teeth also may deliver a harmful action, “wearing the
             toothbrush.”

           Functional modeling and analysis example. Figure 9.2 is a schematic view
           of an overhead projector. Figure 9.3 is the functional modeling and
           analysis diagram for the whole system. In this example, there are many
           “chain actions”; that is, an “object” can be other object’s subject. Then we
           have a sequence of  “subject-action-object-action-” chains. Each chain
           describes a complete function. We can identify the following functions:

           1. From “electricity to image in screen,” that is, the function of “to pro-
              ject image in the film to screen,” we can think that is the main basic
              function.
           2. From “hand” to “focusing device” to “mirror,” that is, the function of
              “to focus the image,” which is a secondary basic function.
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