January 2014
Intermediate to advanced
144 pages
4h 2m
English
Content preview from Mathematical Formulas for Industrial and Mechanical Engineering
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2. a . b.a 6 c . b 6 c. Example: 5 . 3 ! 5 2 10 525 . 3 2 10 527
a , b.a 6 c , b 6 c
3. a . b; c . 0.ac . bc; ða=cÞ. ðb=cÞ. Example: 6 . 3 ! 6 3 4 5 24 . 3 3 4 5 12;
ð6=2Þ5 3 . ð3=2Þ5 1:5
4. a . b; c
, 0.ac , bc; ða=cÞ, ðb=cÞ. Example: 6 . 3 ! 6 324 5224 , 3 324 5212;
ð6=22Þ523 , ð3=22Þ521:5
2.3 Absolute Value
Definition The absolute value (or modulus) of a real number x, denoted by the
symbol jxj is a nonnegative number defined as
jxj5
x; x $ 0
2x; x , 0
For example, j2j5 2; j0j5 0; j22j52ð22Þ5 2.
–3 –2 –1 0 1 2 3
1
2
3
4
y = |x|
Geometrical interpretation: jxj gives the distance of the point P, representing
the number x on the real number line, from the origin. ...
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