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CHAPTER 11: LIST OF EQUATIONS



Determining the Appropriate Luminance Uniformity within an Icon

Perent Element (Luminance min) - (Luminance max) (1)
=    
Nonuniformity (Luminance max)  
where  

Luminance max = the smaller luminance value
Luminancemin = the greater luminance value

 

Determining the Appropriate Contrast within an Icon

We define contrast as a ratio between maximum and minimum luminance values, or:        (2)
Contrast ratio =      Luminance max
      Luminance min
where:

Luminance max = luminance emitted by the area or element of greater intensity
Luminance min = luminance emitted by the area or element of smaller intensity

Determining the Appropriate Size of Icon Components

If Known Use These Formulas for Calculating These Known Years
Visual Angle Symbol Height Distance
Distance and
Symbol Height

Symbol height fraction:  Symbol Height over Distance
(3)

Symbol height fraction (3438 (Height) over distance) divided by 60
(4)

   
Distance and
Visual Angle
 

Distance x [Tangent (Visual Angle)]

(5)

 
Visual Angle and
Symbol Height
   

Symbol Height
Tangent (Visual Angle)

(6)

Determining The Effects of Icon Legibility

Figure 3-5. Equation for Determining Color Contrast. Click here for more detail.

S=KOm

Perceived Urgency of Auditory Signals

Example of Using Steven's Power Law for Producing Urgency Exponents
(see references 2 and 3 for more detailed explanations and examples)

 

S=kOm

(8)

Figure 6-3. Example of Using Steven's Power Law for Producing Urgency Exponents. This figure is the same as figure 6.3. Click here for more details.

Timing of Auditory Navigation Information

Equations for determining the appropriate timing of an instruction. This figure is the same figure as 6.4. Click here for more details.
Equations for Determining the Appropriate Timing of an Instruction


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