# Relational Notation

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```					Relational Operators
and Proportionality
Relational Notation
   Mathematics often is used to describe
relationship between two quantities.

   To do this relational operators are
used in a mathematical expression.
Relational Notation
   Examples:
A < B (“A less than B”)
X  Y (“X greater than or equal to Y”)
V  r3 (“V proportional to radius cubed”)

   See Table 6.2 of Foundations text for
other relational operators.
Proportionality
   The operator  is used to indicated
proportionality between quantities.

Example:
C  r
(circumference of circle directly proportional to its
C = 2r
2 is the proportionality constant
Proportionality
Example:
A  r2
(area of circle directly proportional to its radius
squared)
A =  r2
 is the proportionality constant
Proportionality
   In the previous example, both the
circumference, C, and the area, A, were
directly proportional to the variable.
   Other proportions are possible
Example: y  1
x2
k
y  2
x
y is the inverse proportion of x squared.
Other Relational Notations
Example:
A right triangle with a base dimension, b, and
height, h. Area, A, can be expressed as:
A = f (b,h)
“The area A, is a function of the base, b, and
the height, h.”
Mathematically, A=½*b*h

```
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 views: 4 posted: 3/14/2012 language: English pages: 7