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<div class=3DSection1>

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dsize=3D"21600,21600"
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</v:shapetype><v:shape id=3D"Picture_x0020_2" o:spid=3D"_x0000_s1032" type=
=3D"#_x0000_t75"
 alt=3D"Small Mission College Logo" style=3D'position:absolute;margin-left:=
0;
 margin-top:0;width:24pt;height:24pt;z-index:6;visibility:visible;
 mso-wrap-distance-left:0;mso-wrap-distance-right:0;mso-position-horizontal=
:left;
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 <v:imagedata src=3D"foraker_files/image001.gif" o:title=3D"Small Mission C=
ollege Logo"/>
 <w:wrap type=3D"square"/>
</v:shape><![endif]--><![if !vml]><img width=3D32 height=3D32
src=3D"foraker_files/image002.jpg" align=3Dleft alt=3D"Small Mission Colleg=
e Logo"
v:shapes=3D"Picture_x0020_2"><![endif]><!--[if gte vml 1]><v:shape id=3D"Pi=
cture_x0020_3"
 o:spid=3D"_x0000_s1031" type=3D"#_x0000_t75" alt=3D"Small Math Dept Logo" =
style=3D'position:absolute;
 margin-left:0;margin-top:0;width:24pt;height:24pt;z-index:5;visibility:vis=
ible;
 mso-wrap-distance-left:0;mso-wrap-distance-right:0;mso-position-horizontal=
:left;
 mso-position-vertical-relative:line' o:allowoverlap=3D"f">
 <v:imagedata src=3D"foraker_files/image003.jpg" o:title=3D"Small Math Dept=
 Logo"/>
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</v:shape><![endif]--><![if !vml]><img width=3D32 height=3D32
src=3D"foraker_files/image003.jpg" align=3Dleft alt=3D"Small Math Dept Logo=
" v:shapes=3D"Picture_x0020_3"><![endif]><b><span
style=3D'mso-bidi-theme-font: minor-bidi'>Math Department, </b><st1:place><=
st1:PlaceName><b>Mission</b></st1:PlaceName><b>
 </b><st1:PlaceType><b>College</b></st1:PlaceType></st1:place><b>, </b><st1=
:place><st1:City><b>Santa
  Clara</b></st1:City><b>, </b><st1:State><b>California</b></span><span
  style=3D'mso-bidi-theme-font: minor-bidi'></st1:State></st1:place> <o:p><=
/o:p></p>

<p><b></span>Go to <a
href=3D"http://www.missioncollege.org/depts/math/default.html">Math Dept Ma=
in
Page</a> | Go to <a href=3D"http://www.missioncollege.org/default.html">Mis=
sion
College Main Page</a></b> <span style=3D'font-family:"Arial Unicode MS"'><o=
:p></o:p></span></p>

<p><b><span style=3D'color:black'>This paper was written as an assignment f=
or Ian
Walton's Math G - Math for liberal Arts Students - at </span></b><st1:place=
><st1:PlaceName><b><span
  style=3D'color:black'>Mission</span></b></st1:PlaceName><b><span
 style=3D'color:black'> </span></b><st1:PlaceType><b><span style=3D'color:b=
lack'>College</span></b></st1:PlaceType></st1:place><b><span
style=3D'color:black'>. If you use material from this paper, please acknowl=
edge
it. </span></b><o:p></o:p></p>

<p><b><span style=3D'color:black'>To explore other such papers go to </span=
><a
href=3D"http://www.missioncollege.org/depts/math/gproject.htm">the Math G
Projects Page</a><span style=3D'color:black'><o:p></o:p></span></b></p>

<p class=3DMsoNormal style=3D'line-height:200%'><span style=3D'font-size:12=
.0pt;
line-height:200%;font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-botto=
m:.0001pt;
text-align:center;line-height:150%'><span style=3D'font-size:12.0pt;line-he=
ight:
150%;font-family:"Times New Roman"'>Jake Foraker<o:p></o:p></span></p>

<p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-botto=
m:.0001pt;
text-align:center;line-height:150%'><span style=3D'font-size:12.0pt;line-he=
ight:
150%;font-family:"Times New Roman"'>Math G<o:p></o:p></span></p>

<p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-botto=
m:.0001pt;
text-align:center;line-height:150%'><span style=3D'font-size:12.0pt;line-he=
ight:
150%;font-family:"Times New Roman"'>Professor Walton<o:p></o:p></span></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center;line-height:=
200%'><st1:date
Year=3D"2010" Day=3D"5" Month=3D"4"><span style=3D'font-size:12.0pt;line-he=
ight:200%;
 font-family:"Times New Roman"'>5 April 2010</span></st1:date><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'><=
o:p></o:p></span></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center;line-height:=
200%'><span
style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;line-height:200%;font-f=
amily:
"Times New Roman"'>The Power of Ten <span
style=3D'mso-spacerun:yes'>&nbsp;</span>- <span
style=3D'mso-spacerun:yes'>&nbsp;</span>Decibels<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'line-height:200%'><span style=3D'font-size:12=
.0pt;
line-height:200%;font-family:"Times New Roman"'><span style=3D'mso-tab-coun=
t:
1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </spa=
n>If
a tree falls in the woods and nobody is around to hear it fall, how many
decibels (dB) of sound pressure level (SPL) will it register? Given my rece=
ntly
acquired and well-read knowledge of the decibel, an educated guess would pu=
t it
somewhere in the range of 110-130 dB. <o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'line-height:200%'><span style=3D'font-size:12=
.0pt;
line-height:200%;font-family:"Times New Roman"'><span style=3D'mso-tab-coun=
t:
1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </spa=
n>&#8220;What
is this mumbo-jumbo &#8216;decibel&#8217; jargon you speak of, Jake?&#8221;=
 I
hear you ask&#8230; &#8220;And what the heck does it have to do with Math
G?&#8221; another curious reader ponders&#8230;<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'line-height:200%'><span style=3D'font-size:12=
.0pt;
line-height:200%;font-family:"Times New Roman"'><span style=3D'mso-tab-coun=
t:
1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </spa=
n>Well,
as it turns out, the concept of the decibel has plenty to do with math;
it&#8217;s one of those classic cross-subject interdisciplinary mathematical
ideas that has become the basis for the measurement of something humans
encounter at every moment of every day&shy;. That &#8220;something,&#8221; =
is
sound!<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'line-height:200%'><span style=3D'font-size:12=
.0pt;
line-height:200%;font-family:"Times New Roman"'><span style=3D'mso-tab-coun=
t:
1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </spa=
n>The
human ear has the astonishing capability of perceiving an incredibly large
range of sound pressure levels. According to Everest, if you were to sit in=
 an
anechoic chamber for a long period of time, you would eventually be able to
hear the sound of air particles &#8220;pounding&#8221; against your eardrum=
s,
revealing the threshold of human hearing (33). That is, we cannot detect
anything softer than air particles on the eardrum, or else it would simply =
be
&#8220;drowned out&#8221; by air particle noise (34). On the flipside of th=
at,
we are capable of enduring a sonic beating, dancing in front of massive spe=
akers
at a rock concert and surviving until the next day to tell our friends how =
loud
it was.<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'line-height:200%'><span style=3D'font-size:12=
.0pt;
line-height:200%;font-family:"Times New Roman"'><span style=3D'mso-tab-coun=
t:
1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </spa=
n>This
notion of perceivable extremes is precisely why the concept of the decibel =
and
its mathematical formula were created. We all know that sound is caused by
vibrations in a given atmosphere (gas, solid, or liquid), thus resulting in
variations in atmospheric pressure. These variations can be measured&#8212;=
more
on that in a moment. Moreover, the term <i style=3D'mso-bidi-font-style:nor=
mal'>sound
power</i> is used as a description of &#8220;the amount of acoustic energy
produced per unit time by a sound source,&#8221; measured in watts (Prout/B=
ienvenue
139). Sounds heard in everyday life can be as tiny as 0.000,000,001 watt (a
soft whisper), or as deafening as 50,000,000 watts (a rocket engine blast).
Herein lies the brilliance of the decibel: it makes the measurement of such
drastic differences in value convenient by utilizing our good friend, the
logarithm.</span><span style=3D'font-size:12.0pt;line-height:200%'> <o:p></=
o:p></span></p>

<p class=3DMsoNormal style=3D'line-height:200%'><span style=3D'font-size:12=
.0pt;
line-height:200%'><span style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>D=
ecibels,
similar to percentages, are a dimensionless unit. It is simply the measurem=
ent
of a ratio of between two units. In this case, it is the measurement of the
ratio between </span><i style=3D'mso-bidi-font-style:normal'><span
style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;line-height:200%;font-f=
amily:
"Times New Roman"'>P</span></i><span style=3D'font-size:12.0pt;line-height:=
200%;
font-family:"Times New Roman"'>, the sound power in watts, and </span><em><=
span
style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;line-height:200%'>P<sub=
>ref</sub></span></em><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>,=
 the
reference power in watts. <o:p></o:p></span></p>

<p align=3Dcenter style=3D'text-align:center'><em><span style=3D'font-size:=
16.0pt;
mso-bidi-font-size:12.0pt'>dB</span> =3D </em><em><span style=3D'font-size:=
16.0pt;
mso-bidi-font-size:12.0pt'>10 log(</span></em><em><span style=3D'font-size:=
20.0pt;
mso-bidi-font-size:12.0pt'>P / P<sub>ref</sub> </span></em><em><span
style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'>)</span></em><o:p></o:=
p></p>

<p align=3Dcenter style=3D'text-align:center'><i>where</i><o:p></o:p></p>

<p align=3Dcenter style=3D'text-align:center'><em><span style=3D'font-size:=
18.0pt;
mso-bidi-font-size:12.0pt'>P</span></em><i><span style=3D'font-size:18.0pt;
mso-bidi-font-size:12.0pt'> </span>=3D signal power </i><o:p></o:p></p>

<p align=3Dcenter style=3D'text-align:center;line-height:200%'><em><span
style=3D'font-size:18.0pt;mso-bidi-font-size:12.0pt;line-height:200%'>P<sub=
>ref </sub></span></em><i><span
style=3D'font-size:18.0pt;mso-bidi-font-size:12.0pt;line-height:200%'><span
style=3D'mso-spacerun:yes'>&nbsp;</span></span>=3D reference power</i></p>

<p class=3DMsoNormal style=3D'margin-top:12.0pt;text-indent:.5in;line-heigh=
t:200%'><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>N=
ow, in
order to utilize this particular logarithmic function, we must first have an
agreed-upon reference power. Like I said before regarding the human thresho=
ld
of hearing, we can perceive a very wide range of sound pressures, and the
common agreed-upon reference uses the lowest perceivable measurement for
pressure, called <i style=3D'mso-bidi-font-style:normal'>micropascals </i>(=
&micro;Pa).
One million micropascals are equal to one <i style=3D'mso-bidi-font-style:n=
ormal'>pascal</i>
(Pa), and one <i style=3D'mso-bidi-font-style:normal'>pascal</i> is the
equivalent to one <i style=3D'mso-bidi-font-style:normal'>newton</i> (a uni=
t of
force) per square meter (Prout/Bienvenue 140). Don&#8217;t get confused with
the specifics, just note that our &#8220;widely agreed-upon standard
rule&#8221; uses a miniscule vibration of air pressure which corresponds
roughly with the human threshold for hearing as the base reference for our
logarithmic scale of decibels. <o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-indent:.5in;line-height:200%'><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>&=
#8220;I
don&#8217;t get it. Is there a number for this abstract &#8216;threshold of
hearing&#8217;?&#8221;<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-indent:.5in;line-height:200%'><!--[if gt=
e vml 1]><v:shape
 id=3D"Picture_x0020_1" o:spid=3D"_x0000_s1030" type=3D"#_x0000_t75" style=
=3D'position:absolute;
 left:0;text-align:left;margin-left:0;margin-top:40.45pt;width:305.3pt;
 height:435.35pt;z-index:1;visibility:visible;mso-position-horizontal:left'
 wrapcoords=3D"-230 0 -1263 233 -1840 702 -1610 22491 -1150 22647 20797 226=
47 20910 22647 21140 22491 21717 21320 21717 0 -230 0">
 <v:imagedata src=3D"foraker_files/image004.png" o:title=3D""/>
 <o:lock v:ext=3D"edit" aspectratio=3D"f"/>
 <w:wrap type=3D"square"/>
</v:shape><![endif]--><![if !vml]><img width=3D407 height=3D580
src=3D"foraker_files/image005.gif" align=3Dleft hspace=3D12 v:shapes=3D"Pic=
ture_x0020_1"><![endif]><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>Y=
es
sir. For sound in air the standard reference pressure is 20 &micro;Pa. <span
style=3D'mso-spacerun:yes'>&nbsp;</span>In real life, this is comparable to=
 a
mosquito buzzing around your head at a close distance, as observed by F. Al=
ton
Everest, author of <u>The Master Handbook of Acoustics</u>. To put it in
perspective, a jet engine 75 feet away is about 100,000,000 &micro;Pa. So, =
let
20 &micro;Pa =3D 0 dB. Now we have reference for which to base our logarith=
m.<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-indent:.5in;line-height:200%'><!--[if gt=
e vml 1]><v:shapetype
 id=3D"_x0000_t202" coordsize=3D"21600,21600" o:spt=3D"202" path=3D"m,l,216=
00r21600,l21600,xe">
 <v:stroke joinstyle=3D"miter"/>
 <v:path gradientshapeok=3D"t" o:connecttype=3D"rect"/>
</v:shapetype><v:shape id=3D"_x0000_s1027" type=3D"#_x0000_t202" style=3D'p=
osition:absolute;
 left:0;text-align:left;margin-left:0;margin-top:144.65pt;width:199.5pt;
 height:20.25pt;text-indent:0;z-index:4;mso-position-horizontal:left'
 wrapcoords=3D"-57 0 -57 21168 21600 21168 21600 0 -57 0" stroked=3D"f">
 <v:textbox style=3D'mso-fit-shape-to-text:t' inset=3D"0,0,0,0">
  <![if !mso]>
  <table cellpadding=3D0 cellspacing=3D0 width=3D"100%">
   <tr>
    <td><![endif]>
    <div>
    <p class=3DMsoCaption align=3Dcenter style=3D'text-align:center'>Chart =
from
    www.acson-international.com<span style=3D'font-size:12.0pt;font-family:=
"Times New Roman";
    mso-no-proof:yes'><o:p></o:p></span></p>
    </div>
    <![if !mso]></td>
   </tr>
  </table>
  <![endif]></v:textbox>
 <w:wrap type=3D"square"/>
</v:shape><![endif]--><![if !vml]><img width=3D270 height=3D32
src=3D"foraker_files/image006.gif" align=3Dleft hspace=3D12
alt=3D"Text Box: Chart from www.acson-international.com" v:shapes=3D"_x0000=
_s1027"><![endif]><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>A=
s you
imagine hearing the jet engine and the mosquito, it is important to think a=
bout
what sounds fall in-between. How does an opera singer relate to a mosquito?
What about police car sirens? Where would they land on the pascal scale? <o=
:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-indent:.5in;line-height:200%'><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>N=
otice
on the chart that the decibel levels stay in a manageable range of 0-140,
whereas the units of micropascals can confuse the reader in a sea of zeros.
That is the magic of the logarithm. Through multiplication of powers of ten,
the logarithm manages the values into friendly numbers. For example, the qu=
otient
of sound intensities:<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;text-=
indent:
.5in'><span style=3D'font-size:12.0pt;line-height:115%;font-family:"Times N=
ew Roman"'><span
style=3D'mso-spacerun:yes'>&nbsp;</span>10<sup>9</sup> watts per square met=
er and<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-indent:.5in'><span style=3D'font-size:12=
.0pt;
line-height:115%;font-family:"Times New Roman"'><span
style=3D'mso-spacerun:yes'>&nbsp;</span>10<sup>4</sup> watts per square met=
er<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
200%'><span style=3D'font-size:12.0pt;line-height:200%;font-family:"Times N=
ew Roman"'>is
100,000 units. It can be expressed as a difference of 50 decibels. Ten times
the log base ten of the ratio of powers. <o:p></o:p></span></p>

<table class=3DMsoNormalTable border=3D1 cellspacing=3D0 cellpadding=3D0 wi=
dth=3D639
 style=3D'width:479.4pt;border-collapse:collapse;border:none;mso-border-alt=
:solid #7BA0CD 1.0pt;
 mso-yfti-tbllook:1184;mso-padding-alt:0in 5.4pt 0in 5.4pt;mso-border-insid=
eh:
 1.0pt solid #7BA0CD;mso-border-insidev:1.0pt solid #7BA0CD'>
 <tr style=3D'mso-yfti-irow:0;mso-yfti-lastrow:yes;height:137.2pt'>
  <td width=3D635 valign=3Dtop style=3D'width:476.4pt;border:solid #7BA0CD =
1.0pt;
  background:#D3DFEE;padding:0in 5.4pt 0in 5.4pt;height:137.2pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'mso-margin-top-alt:auto;mso-=
margin-bottom-alt:
  auto;text-align:center;line-height:normal;mso-outline-level:1'><b><span
  style=3D'font-size:24.0pt;font-family:"Times New Roman";mso-fareast-font-=
family:
  "Times New Roman";mso-font-kerning:18.0pt'>Decibels and Logarithms<o:p></=
o:p></span></b></p>
  <p class=3DMsoNormal style=3D'mso-margin-top-alt:auto;mso-margin-bottom-a=
lt:auto;
  line-height:normal'><b><span style=3D'font-size:12.0pt;font-family:"Times=
 New Roman";
  mso-fareast-font-family:"Times New Roman"'>The decibel scale is a reflect=
ion
  of the logarithmic response of the human ear to changes in sound<u><span
  style=3D'color:blue'> </span></u>intensity:<o:p></o:p></span></b></p>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal'><b style=3D'mso-bidi-font-weight:no=
rmal'><span
  style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-fareast-font-=
family:
  "Times New Roman";mso-no-proof:yes'><!--[if gte vml 1]><v:shape id=3D"Pic=
ture_x0020_10"
   o:spid=3D"_x0000_i1025" type=3D"#_x0000_t75" alt=3D"http://hyperphysics.=
phy-astr.gsu.edu/hbase/sound/imgsou/intens5.gif"
   style=3D'width:293.25pt;height:59.25pt;visibility:visible'>
   <v:imagedata src=3D"foraker_files/image007.gif" o:title=3D"intens5"/>
  </v:shape><![endif]--><![if !vml]><img border=3D0 width=3D391 height=3D79
  src=3D"foraker_files/image007.gif"
  alt=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/sound/imgsou/intens5.gi=
f"
  v:shapes=3D"Picture_x0020_10"><![endif]></span></b><b><span style=3D'font=
-size:
  12.0pt;font-family:"Times New Roman";mso-fareast-font-family:"Times New R=
oman"'><o:p></o:p></span></b></p>
  <p class=3DMsoNormal style=3D'mso-margin-top-alt:auto;mso-margin-bottom-a=
lt:auto;
  line-height:normal'><b><span style=3D'font-size:12.0pt;font-family:"Times=
 New Roman";
  mso-fareast-font-family:"Times New Roman"'>The logarithm to the base 10 u=
sed
  in this expression is just the power of 10 of the quantity in brackets ac=
cording
  to the basic definition of the logarithm:<o:p></o:p></span></b></p>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal'><b style=3D'mso-bidi-font-weight:no=
rmal'><span
  style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-fareast-font-=
family:
  "Times New Roman";mso-no-proof:yes'><!--[if gte vml 1]><v:shape id=3D"Pic=
ture_x0020_11"
   o:spid=3D"_x0000_i1026" type=3D"#_x0000_t75" alt=3D"http://hyperphysics.=
phy-astr.gsu.edu/hbase/sound/imgsou/intens9.gif"
   style=3D'width:280.5pt;height:17.25pt;visibility:visible'>
   <v:imagedata src=3D"foraker_files/image008.gif" o:title=3D"intens9"/>
  </v:shape><![endif]--><![if !vml]><img border=3D0 width=3D374 height=3D23
  src=3D"foraker_files/image008.gif"
  alt=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/sound/imgsou/intens9.gi=
f"
  v:shapes=3D"Picture_x0020_11"><![endif]></span></b><b><span style=3D'font=
-size:
  12.0pt;font-family:"Times New Roman";mso-fareast-font-family:"Times New R=
oman"'><o:p></o:p></span></b></p>
  <p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;lin=
e-height:
  normal'><b><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman"'>Examples: <o:p></o:p></span></=
b></p>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;page-break-after:avoid'><b
  style=3D'mso-bidi-font-weight:normal'><span style=3D'font-size:12.0pt;fon=
t-family:
  "Times New Roman";mso-fareast-font-family:"Times New Roman";mso-no-proof:
  yes'><!--[if gte vml 1]><v:shape id=3D"Picture_x0020_12" o:spid=3D"_x0000=
_i1027"
   type=3D"#_x0000_t75" alt=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/s=
ound/imgsou/intens10.gif"
   style=3D'width:372pt;height:64.5pt;visibility:visible'>
   <v:imagedata src=3D"foraker_files/image009.gif" o:title=3D"intens10"/>
  </v:shape><![endif]--><![if !vml]><img border=3D0 width=3D496 height=3D86
  src=3D"foraker_files/image009.gif"
  alt=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/sound/imgsou/intens10.g=
if"
  v:shapes=3D"Picture_x0020_12"><![endif]></span></b><b><span style=3D'font=
-size:
  12.0pt;font-family:"Times New Roman";mso-fareast-font-family:"Times New R=
oman"'><o:p></o:p></span></b></p>
  </td>
 </tr>
</table>

<p class=3DMsoCaption align=3Dcenter style=3D'text-align:center'>Chart from=
 R. Nave
of <st1:place><st1:PlaceName>Georgia</st1:PlaceName> <st1:PlaceName>State</=
st1:PlaceName>
 <st1:PlaceType>University</st1:PlaceType></st1:place><span style=3D'font-s=
ize:
12.0pt;font-family:"Times New Roman"'><o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;text-=
indent:
.5in;line-height:200%'><span style=3D'font-size:12.0pt;line-height:200%;
font-family:"Times New Roman"'>Making sense now? Not quite? How about
this&#8230;<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;text-=
indent:
.5in;line-height:200%'><span style=3D'font-size:12.0pt;line-height:200%;
font-family:"Times New Roman"'>All of the tens and logs come together full
circle. An increase in power by a factor of ten causes a +10 dB increase in
level. <o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;text-=
indent:
.5in;line-height:200%'><span style=3D'font-size:12.0pt;line-height:200%;
font-family:"Times New Roman"'>An increase in power by a factor of 100 caus=
es a
dB increase of 20&#8230; <o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;text-=
indent:
.5in;line-height:200%'><span style=3D'font-size:12.0pt;line-height:200%;
font-family:"Times New Roman"'>An increase in power by a factor of 1000 cau=
ses
a dB increase of 30&#8230;<o:p></o:p></span></p>

<p style=3D'text-indent:.5in;line-height:200%'>An increase in power by a fa=
ctor
of 1,000,000 causes a dB increase of 60&#8230; The reason it is 60 and not =
6 is
because in our original formula, <em><span style=3D'font-size:14.0pt;mso-bi=
di-font-size:
12.0pt;line-height:200%'>dB</span></em><em><span style=3D'font-size:11.0pt;
mso-bidi-font-size:12.0pt;line-height:200%'> =3D </span></em><em><span
style=3D'font-size:14.0pt;mso-bidi-font-size:12.0pt;line-height:200%'>10 lo=
g(</span></em><em><span
style=3D'font-size:18.0pt;mso-bidi-font-size:12.0pt;line-height:200%'>P / P=
<sub>ref</sub>
</span></em><em><span style=3D'font-size:14.0pt;mso-bidi-font-size:12.0pt;
line-height:200%'>), </span></em><em><span style=3D'font-style:normal;mso-b=
idi-font-style:
italic'>the ten in front of the log multiplies it by ten, hence creating the
&#8220;deci&#8221; bel. Without the ten, the formula would produce the solu=
tion
for bels (B), a less convenient unit considered too large for practical
applications (Nave).<o:p></o:p></span></em></p>

<p style=3D'text-indent:.5in;line-height:200%'><em><span style=3D'font-styl=
e:normal;
mso-bidi-font-style:italic'><o:p>&nbsp;</o:p></span></em></p>

<div style=3D'mso-element:frame;mso-element-frame-hspace:9.0pt;mso-element-=
wrap:
around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:
margin;mso-element-top:-14.2pt;mso-height-rule:exactly'>

<table cellspacing=3D0 cellpadding=3D0 hspace=3D0 vspace=3D0 align=3Dleft>
 <tr>
  <td valign=3Dtop align=3Dleft style=3D'padding-top:0in;padding-right:9.0p=
t;
  padding-bottom:0in;padding-left:9.0pt'>
  <p class=3DMsoCaption style=3D'mso-element:frame;mso-element-frame-hspace=
:9.0pt;
  mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element=
-anchor-horizontal:
  margin;mso-element-top:-14.2pt;mso-height-rule:exactly'>Hypothetical Deci=
bel
  Scale</p>
  </td>
 </tr>
</table>

</div>

<table class=3DMsoNormalTable border=3D0 cellspacing=3D0 cellpadding=3D0 al=
ign=3Dleft
 width=3D433 style=3D'width:324.55pt;border-collapse:collapse;mso-yfti-tbll=
ook:
 1184;mso-table-lspace:9.0pt;margin-left:6.75pt;mso-table-rspace:9.0pt;
 margin-right:6.75pt;mso-table-anchor-vertical:paragraph;mso-table-anchor-h=
orizontal:
 margin;mso-table-left:left;mso-table-top:10.3pt;mso-padding-alt:0in 5.4pt =
0in 5.4pt;
 mso-border-insideh:.5pt solid white'>
 <tr style=3D'mso-yfti-irow:0;height:34.55pt'>
  <td width=3D"32%" valign=3Dtop style=3D'width:32.42%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-bottom-alt:solid white .5pt;background:#FBD4=
B4;
  padding:0in 5.4pt 0in 5.4pt;height:34.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><b><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman"'>Type of Sound<o:p></o:p></span=
></b></p>
  </td>
  <td width=3D"34%" valign=3Dtop style=3D'width:34.12%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-bottom-alt:solid white .5pt;background:#FBD4=
B4;
  padding:0in 5.4pt 0in 5.4pt;height:34.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><b><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:black'>Units of measureme=
nt<o:p></o:p></span></b></p>
  </td>
  <td width=3D"33%" valign=3Dtop style=3D'width:33.46%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-bottom-alt:solid white .5pt;background:#FBD4=
B4;
  padding:0in 5.4pt 0in 5.4pt;height:34.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><b><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:black'>Decibel Scale Valu=
e<o:p></o:p></span></b></p>
  </td>
 </tr>
 <tr style=3D'mso-yfti-irow:1;height:19.55pt'>
  <td width=3D"32%" valign=3Dtop style=3D'width:32.42%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#E36C0=
A;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:white'>Rustle of leaves<o=
:p></o:p></span></p>
  </td>
  <td width=3D"34%" valign=3Dtop style=3D'width:34.12%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#FBCAA=
2;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:black'>10<o:p></o:p></spa=
n></p>
  </td>
  <td width=3D"33%" valign=3Dtop style=3D'width:33.46%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#FBCAA=
2;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:black'>10 dB<o:p></o:p></=
span></p>
  </td>
 </tr>
 <tr style=3D'mso-yfti-irow:2;height:19.55pt'>
  <td width=3D"32%" valign=3Dtop style=3D'width:32.42%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#E36C0=
A;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:white'>Whisper<o:p></o:p>=
</span></p>
  </td>
  <td width=3D"34%" valign=3Dtop style=3D'width:34.12%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#FDE9D=
9;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:black'>100<o:p></o:p></sp=
an></p>
  </td>
  <td width=3D"33%" valign=3Dtop style=3D'width:33.46%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#FDE9D=
9;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:black'>20 dB<o:p></o:p></=
span></p>
  </td>
 </tr>
 <tr style=3D'mso-yfti-irow:3;height:19.55pt'>
  <td width=3D"32%" valign=3Dtop style=3D'width:32.42%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#E36C0=
A;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:white'>Soft conversation<=
o:p></o:p></span></p>
  </td>
  <td width=3D"34%" valign=3Dtop style=3D'width:34.12%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#FBCAA=
2;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:black'>1,000<o:p></o:p></=
span></p>
  </td>
  <td width=3D"33%" valign=3Dtop style=3D'width:33.46%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#FBCAA=
2;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:black'>30 dB<o:p></o:p></=
span></p>
  </td>
 </tr>
 <tr style=3D'mso-yfti-irow:4;height:19.55pt'>
  <td width=3D"32%" valign=3Dtop style=3D'width:32.42%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#E36C0=
A;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:white'>Average residence<=
o:p></o:p></span></p>
  </td>
  <td width=3D"34%" valign=3Dtop style=3D'width:34.12%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#FDE9D=
9;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:black'>10,000<o:p></o:p><=
/span></p>
  </td>
  <td width=3D"33%" valign=3Dtop style=3D'width:33.46%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#FDE9D=
9;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:black'>40 dB<o:p></o:p></=
span></p>
  </td>
 </tr>
 <tr style=3D'mso-yfti-irow:5;height:19.55pt'>
  <td width=3D"32%" valign=3Dtop style=3D'width:32.42%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#E36C0=
A;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:white'>Average office<o:p=
></o:p></span></p>
  </td>
  <td width=3D"34%" valign=3Dtop style=3D'width:34.12%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#FBCAA=
2;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:black'>100,000<o:p></o:p>=
</span></p>
  </td>
  <td width=3D"33%" valign=3Dtop style=3D'width:33.46%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#FBCAA=
2;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:black'>50 dB<o:p></o:p></=
span></p>
  </td>
 </tr>
 <tr style=3D'mso-yfti-irow:6;height:19.55pt'>
  <td width=3D"32%" valign=3Dtop style=3D'width:32.42%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#E36C0=
A;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:white'>Telephone conversa=
tion<o:p></o:p></span></p>
  </td>
  <td width=3D"34%" valign=3Dtop style=3D'width:34.12%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#FDE9D=
9;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:black'>10,000,000<o:p></o=
:p></span></p>
  </td>
  <td width=3D"33%" valign=3Dtop style=3D'width:33.46%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#FDE9D=
9;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:black'>70 dB<o:p></o:p></=
span></p>
  </td>
 </tr>
 <tr style=3D'mso-yfti-irow:7;height:19.55pt'>
  <td width=3D"32%" valign=3Dtop style=3D'width:32.42%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#E36C0=
A;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:white'>Heavy traffic<o:p>=
</o:p></span></p>
  </td>
  <td width=3D"34%" valign=3Dtop style=3D'width:34.12%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#FBCAA=
2;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:black'>1,000,000,000<o:p>=
</o:p></span></p>
  </td>
  <td width=3D"33%" valign=3Dtop style=3D'width:33.46%;border:none;border-b=
ottom:
  solid white 1.0pt;mso-border-top-alt:solid white .5pt;mso-border-top-alt:
  solid white .5pt;mso-border-bottom-alt:solid white .5pt;background:#FBCAA=
2;
  padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:black'>90 dB<o:p></o:p></=
span></p>
  </td>
 </tr>
 <tr style=3D'mso-yfti-irow:8;height:19.55pt'>
  <td valign=3Dtop style=3D'border:none;border-bottom:solid white 1.0pt;mso=
-border-top-alt:
  solid white .5pt;mso-border-top-alt:solid white .5pt;mso-border-bottom-al=
t:
  solid white .5pt;background:#E36C0A;padding:0in 5.4pt 0in 5.4pt;height:19=
.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:white'>Subway traffic<o:p=
></o:p></span></p>
  </td>
  <td valign=3Dtop style=3D'border:none;border-bottom:solid white 1.0pt;mso=
-border-top-alt:
  solid white .5pt;mso-border-top-alt:solid white .5pt;mso-border-bottom-al=
t:
  solid white .5pt;background:#FDE9D9;padding:0in 5.4pt 0in 5.4pt;height:19=
.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:black'>10,000,000,000<o:p=
></o:p></span></p>
  </td>
  <td valign=3Dtop style=3D'border:none;border-bottom:solid white 1.0pt;mso=
-border-top-alt:
  solid white .5pt;mso-border-top-alt:solid white .5pt;mso-border-bottom-al=
t:
  solid white .5pt;background:#FDE9D9;padding:0in 5.4pt 0in 5.4pt;height:19=
.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:black'>100 dB<o:p></o:p><=
/span></p>
  </td>
 </tr>
 <tr style=3D'mso-yfti-irow:9;mso-yfti-lastrow:yes;height:19.55pt'>
  <td valign=3Dtop style=3D'border:none;mso-border-top-alt:solid white .5pt;
  background:#E36C0A;padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:white'>Airplane engine<o:=
p></o:p></span></p>
  </td>
  <td valign=3Dtop style=3D'border:none;mso-border-top-alt:solid white .5pt;
  background:#FBCAA2;padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;mso-element:frame;mso-element-frame-=
hspace:
  9.0pt;mso-element-wrap:around;mso-element-anchor-vertical:paragraph;
  mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;mso-height-ru=
le:
  exactly'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";
  mso-fareast-font-family:"Times New Roman";color:black'>1,000,000,000,000<=
o:p></o:p></span></p>
  </td>
  <td valign=3Dtop style=3D'border:none;mso-border-top-alt:solid white .5pt;
  background:#FBCAA2;padding:0in 5.4pt 0in 5.4pt;height:19.55pt'>
  <p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-bot=
tom:.0001pt;
  text-align:center;line-height:normal;page-break-after:avoid;mso-element:f=
rame;
  mso-element-frame-hspace:9.0pt;mso-element-wrap:around;mso-element-anchor=
-vertical:
  paragraph;mso-element-anchor-horizontal:margin;mso-element-top:10.3pt;
  mso-height-rule:exactly'><span style=3D'font-size:12.0pt;font-family:"Tim=
es New Roman";
  mso-fareast-font-family:"Times New Roman";color:black'>120 dB<o:p></o:p><=
/span></p>
  </td>
 </tr>
</table>

<p style=3D'text-indent:.5in;line-height:200%'><em><span style=3D'font-styl=
e:normal;
mso-bidi-font-style:italic'><o:p>&nbsp;</o:p></span></em></p>

<p align=3Dcenter style=3D'text-align:center;text-indent:.5in;line-height:2=
00%'><em><span
style=3D'font-style:normal;mso-bidi-font-style:italic'><o:p>&nbsp;</o:p></s=
pan></em></p>

<p style=3D'text-indent:.5in;line-height:200%'><em><span style=3D'font-styl=
e:normal;
mso-bidi-font-style:italic'><o:p>&nbsp;</o:p></span></em></p>

<p style=3D'margin-top:0in;text-indent:.5in;line-height:200%'><em><span
style=3D'font-style:normal;mso-bidi-font-style:italic'><o:p>&nbsp;</o:p></s=
pan></em></p>

<p style=3D'text-indent:.5in;line-height:200%'><em><span style=3D'font-styl=
e:normal;
mso-bidi-font-style:italic'><o:p>&nbsp;</o:p></span></em></p>

<div style=3D'mso-element:frame;mso-element-frame-hspace:9.0pt;mso-element-=
wrap:
around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:
margin;mso-element-top:19.0pt;mso-height-rule:exactly'>

<table cellspacing=3D0 cellpadding=3D0 hspace=3D0 vspace=3D0 align=3Dleft>
 <tr>
  <td valign=3Dtop align=3Dleft style=3D'padding-top:0in;padding-right:9.0p=
t;
  padding-bottom:0in;padding-left:9.0pt'>
  <p class=3DMsoCaption style=3D'mso-element:frame;mso-element-frame-hspace=
:9.0pt;
  mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element=
-anchor-horizontal:
  margin;mso-element-top:19.0pt;mso-height-rule:exactly'>Chart from
  www.privateline.com</p>
  </td>
 </tr>
</table>

</div>

<p style=3D'text-indent:.5in;line-height:200%'><em><span style=3D'font-styl=
e:normal;
mso-bidi-font-style:italic'><o:p>&nbsp;</o:p></span></em></p>

<p style=3D'text-indent:.5in;line-height:200%'><em><span style=3D'font-styl=
e:normal;
mso-bidi-font-style:italic'>Speaking of bels, it is only appropriate to add=
ress
one of the founding fathers of the decibel, Alexander Graham Bell (1847-192=
2). </span></em><st1:City><st1:place><em><span
  style=3D'font-style:normal;mso-bidi-font-style:italic'>Bell</span></em></=
st1:place></st1:City><em><span
style=3D'font-style:normal;mso-bidi-font-style:italic'> is most commonly kn=
own
for being the inventor of the telephone, but he also held a deep passion for
the study of acoustics. Both of Alexander&#8217;s parents were deaf, so his
work was greatly influenced by the mysteries of hearing and electronics. Or=
iginally
created by engineers at Bell Laboratories, the bel of the early days was kn=
own
as a </span>&#8220;transmission unit&#8221;</em><em><span style=3D'font-sty=
le:
normal;mso-bidi-font-style:italic'> or </span>TU</em><em><span
style=3D'font-style:normal;mso-bidi-font-style:italic'>. The early </span>t=
ransmission
unit&#8217;s</em><em><span style=3D'font-style:normal;mso-bidi-font-style:i=
talic'>
original purpose was to show and measure the levels in which audio signals =
</span></em><!--[if gte vml 1]><v:shape
 id=3D"_x0000_s1026" type=3D"#_x0000_t202" style=3D'position:absolute;left:=
0;
 text-align:left;margin-left:0;margin-top:230.25pt;width:185.25pt;height:31=
.5pt;
 text-indent:0;z-index:3;mso-position-horizontal:left;
 mso-position-horizontal-relative:text;mso-position-vertical-relative:text'
 stroked=3D"f">
 <v:textbox inset=3D"0,0,0,0">
  <![if !mso]>
  <table cellpadding=3D0 cellspacing=3D0 width=3D"100%">
   <tr>
    <td><![endif]>
    <div>
    <p class=3DMsoCaption align=3Dcenter style=3D'text-align:center'>Alexan=
der Graham
    Bell </p>
    <p class=3DMsoCaption align=3Dcenter style=3D'margin-bottom:0in;margin-=
bottom:
    .0001pt;text-align:center;line-height:115%'>Image from www.solarnavigat=
or.net</p>
    <p class=3DMsoNormal><o:p>&nbsp;</o:p></p>
    </div>
    <![if !mso]></td>
   </tr>
  </table>
  <![endif]></v:textbox>
 <w:wrap type=3D"square"/>
</v:shape><![endif]--><![if !vml]><img width=3D251 height=3D46
src=3D"foraker_files/image010.gif" align=3Dleft hspace=3D12
alt=3D"Text Box: Alexander Graham Bell &#13;&#10;Image from www.solarnaviga=
tor.net&#13;&#10;&#13;&#10;"
v:shapes=3D"_x0000_s1026"><![endif]><em><span style=3D'font-style:normal;
mso-bidi-font-style:italic'>reduced over a one-mile stretch of telephone wi=
re
(History). It was renamed to the &#8220;bel&#8221; (B) in 1923 in honor of =
the
great Alexander Graham Bell and his extensive contributions to the world of
telecommunications.<o:p></o:p></span></em></p>

<p style=3D'text-indent:.5in;line-height:200%'><!--[if gte vml 1]><v:shape =
id=3D"Picture_x0020_4"
 o:spid=3D"_x0000_s1029" type=3D"#_x0000_t75" style=3D'position:absolute;le=
ft:0;
 text-align:left;margin-left:0;margin-top:1pt;width:201.1pt;height:233.3pt;
 z-index:2;visibility:visible;mso-position-horizontal:left;
 mso-position-horizontal-relative:margin;mso-position-vertical-relative:mar=
gin'>
 <v:imagedata src=3D"foraker_files/image011.png" o:title=3D""/>
 <o:lock v:ext=3D"edit" aspectratio=3D"f"/>
 <w:wrap type=3D"square" anchorx=3D"margin" anchory=3D"margin"/>
</v:shape><![endif]--><![if !vml]><img width=3D268 height=3D311
src=3D"foraker_files/image012.gif" align=3Dleft hspace=3D12 v:shapes=3D"Pic=
ture_x0020_4"><![endif]><em><span
style=3D'font-style:normal;mso-bidi-font-style:italic'>Along with the
ever-advancing technological world we live in, the decibel has become a wid=
ely
used unit of measurement for a multitude of scientific practices. Electroni=
cs
in particular utilizes the extensive abilities of the decibel in countless =
ways.
Just to name a few dB variations: dBu describes electric field intensity, <=
/span></em>dB&micro;V
denotes voltage expressed in relation to one microvolt, dBm is a power level
above one milliwatt, and dBd has a complicated relationship with radio ante=
nna
waves (&#8220;Field&#8221;).</p>

<p style=3D'text-indent:.5in;line-height:200%'>The creation of the decibel =
has
certainly changed the way scientists, engineers, audiophiles and students a=
like
take measurements of extreme values. By using the mathematical power of the=
 logarithm,
the decibel makes sense of very large ratios and turns them into numbers of
reasonable size. From the early bel (B) to the modern dBm used in wifi netw=
ork
computing, it has been a fascinating ride tracing this widely misunderstood
dimensionless unit. It shall be an interesting voyage to watch the future
progression of the decibel, to see what realms of study it may demystify as=
 our
world becomes increasingly advanced in all aspects of life.</p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><a name=3Dc2></a><span style=3D'font-size:12.0pt;font-family:"Times=
 New Roman";
mso-fareast-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
normal'><span style=3D'font-size:12.0pt;font-family:"Times New Roman";mso-f=
areast-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p style=3D'text-indent:.5in;line-height:200%'>. <em><span style=3D'font-st=
yle:
normal;mso-bidi-font-style:italic'><o:p></o:p></span></em></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
200%'><span style=3D'font-size:12.0pt;line-height:200%;font-family:"Times N=
ew Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-bottom:0in;margin-bottom:.0001pt;line-=
height:
200%'><span style=3D'font-size:12.0pt;line-height:200%;font-family:"Times N=
ew Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal align=3Dcenter style=3D'margin-bottom:0in;margin-botto=
m:.0001pt;
text-align:center;line-height:200%'><span style=3D'font-size:12.0pt;line-he=
ight:
200%;font-family:"Times New Roman"'>Works Cited<o:p></o:p></span></p>

<p class=3DListParagraphCxSpFirst style=3D'margin-bottom:0in;margin-bottom:=
.0001pt;
mso-add-space:auto;text-indent:-.25in;line-height:200%;mso-list:l0 level1 l=
fo1'><![if !supportLists]><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman";
mso-fareast-font-family:"Times New Roman"'><span style=3D'mso-list:Ignore'>=
1.<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </spa=
n></span></span><![endif]><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>E=
verest,
F. Alton. <u>The Master Handbook of Acoustics</u>. </span><st1:State><st1:p=
lace><span
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>Pennsylvania</span></st1:place></st1:State><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>:
McGraw Hill, 1994.<o:p></o:p></span></p>

<p class=3DListParagraphCxSpMiddle style=3D'margin-bottom:0in;margin-bottom=
:.0001pt;
mso-add-space:auto;text-indent:-.25in;line-height:200%;mso-list:l0 level1 l=
fo1'><![if !supportLists]><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman";
mso-fareast-font-family:"Times New Roman"'><span style=3D'mso-list:Ignore'>=
2.<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </spa=
n></span></span><![endif]><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>P=
rout,
James H. and Gordon Bienvenue. <u>Acoustics For You</u>. </span><st1:State>=
<st1:place><span
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>Florida</span></st1:place></st1:State><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>:
Krieger, 1990.<o:p></o:p></span></p>

<p class=3DListParagraphCxSpLast style=3D'margin-bottom:0in;margin-bottom:.=
0001pt;
mso-add-space:auto;text-indent:-.25in;line-height:200%;mso-list:l0 level1 l=
fo1'><![if !supportLists]><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman";
mso-fareast-font-family:"Times New Roman"'><span style=3D'mso-list:Ignore'>=
3.<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </spa=
n></span></span><![endif]><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>N=
ave,
Carl R. <u>Hyperphysics</u>. 2005. </span><st1:place><st1:PlaceName><span
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 </span><st1:PlaceType><span
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>University</span></st1:PlaceType></st1:place><span
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 </span><st1:date
Year=3D"2010" Day=3D"29" Month=3D"3"><span style=3D'font-size:12.0pt;line-h=
eight:200%;
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style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'><=
o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'margin-top:0in;margin-right:0in;margin-bottom=
:0in;
margin-left:.75in;margin-bottom:.0001pt;line-height:200%'><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'><=
span
style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp; </span><span
style=3D'mso-spacerun:yes'>&nbsp;</span>&lt;</span> <span style=3D'font-siz=
e:12.0pt;
line-height:200%;font-family:"Times New Roman"'>http://hyperphysics.phy-ast=
r.gsu.edu/hbase/hframe.html&gt;.<o:p></o:p></span></p>

<p class=3DListParagraphCxSpFirst style=3D'margin-bottom:0in;margin-bottom:=
.0001pt;
mso-add-space:auto;text-indent:-.25in;line-height:200%;mso-list:l0 level1 l=
fo1'><![if !supportLists]><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman";
mso-fareast-font-family:"Times New Roman"'><span style=3D'mso-list:Ignore'>=
4.<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </spa=
n></span></span><![endif]><span
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arley,
Tom. &#8220;The Acoustic dB.&#8221; <u>Privateline</u>. </span><st1:date
Year=3D"2010" Day=3D"1" Month=3D"4"><span style=3D'font-size:12.0pt;line-he=
ight:200%;
 font-family:"Times New Roman"'>1 Apr. 2010</span></st1:date><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'><=
o:p></o:p></span></p>

<p class=3DListParagraphCxSpMiddle style=3D'margin-top:0in;margin-right:0in;
margin-bottom:0in;margin-left:1.0in;margin-bottom:.0001pt;mso-add-space:aut=
o;
line-height:200%'><span style=3D'font-size:12.0pt;line-height:200%;font-fam=
ily:
"Times New Roman"'>&lt;</span> <span style=3D'font-size:12.0pt;line-height:=
200%;
font-family:"Times New Roman"'>http://www.privateline.com/decibel/decibel.h=
tml&gt;.<o:p></o:p></span></p>

<p class=3DListParagraphCxSpLast style=3D'margin-bottom:0in;margin-bottom:.=
0001pt;
mso-add-space:auto;text-indent:-.25in;line-height:200%;mso-list:l0 level1 l=
fo1'><![if !supportLists]><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman";
mso-fareast-font-family:"Times New Roman"'><span style=3D'mso-list:Ignore'>=
5.<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </spa=
n></span></span><![endif]><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>W=
olfe,
Joe. <u>dB: What is a Decibel?</u> 1998. </span><st1:place><st1:PlaceType><=
span
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>University</span></st1:PlaceType><span
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 of </span><st1:PlaceName><span
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>New
  South Wales</span></st1:PlaceName></st1:place><span style=3D'font-size:12=
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line-height:200%;font-family:"Times New Roman"'>. </span><st1:date Year=3D"=
2010"
Day=3D"1" Month=3D"4"><span style=3D'font-size:12.0pt;line-height:200%;font=
-family:
 "Times New Roman"'>1 Apr. 2010</span></st1:date><span style=3D'font-size:1=
2.0pt;
line-height:200%;font-family:"Times New Roman"'><o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'margin-top:0in;margin-right:0in;margin-bottom=
:0in;
margin-left:1.0in;margin-bottom:.0001pt;line-height:200%'><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>&=
lt;</span>
<span style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Rom=
an"'>http://www.phys.unsw.edu.au/jw/dB.html#logs&gt;.<o:p></o:p></span></p>

<p class=3DListParagraph style=3D'margin-bottom:0in;margin-bottom:.0001pt;
mso-add-space:auto;text-indent:-.25in;line-height:200%;mso-list:l0 level1 l=
fo1'><![if !supportLists]><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman";
mso-fareast-font-family:"Times New Roman"'><span style=3D'mso-list:Ignore'>=
6.<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </spa=
n></span></span><![endif]><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>&=
#8220;Alexander
Graham Bell.&#8221; <u>Solar Navigator</u>. </span><st1:date Year=3D"2010" =
Day=3D"1"
Month=3D"4"><span style=3D'font-size:12.0pt;line-height:200%;font-family:"T=
imes New Roman"'>1
 Apr. 2010</span></st1:date><span style=3D'font-size:12.0pt;line-height:200=
%;
font-family:"Times New Roman"'><o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'margin-top:0in;margin-right:0in;margin-bottom=
:0in;
margin-left:1.0in;margin-bottom:.0001pt;line-height:200%'><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>&=
lt;</span>
<span style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Rom=
an"'>http://www.solarnavigator.net/inventors/alexander_graham_bell.htm&gt;.=
<o:p></o:p></span></p>

<p class=3DListParagraphCxSpFirst style=3D'margin-bottom:0in;margin-bottom:=
.0001pt;
mso-add-space:auto;text-indent:-.25in;line-height:200%;mso-list:l0 level1 l=
fo1'><![if !supportLists]><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman";
mso-fareast-font-family:"Times New Roman"'><span style=3D'mso-list:Ignore'>=
7.<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </spa=
n></span></span><![endif]><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>&=
#8220;Decibel
(dB).&#8221; <u>Handbook for Acoustic Ecology</u>. </span><st1:place><st1:P=
laceName><span
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 </span><st1:PlaceName><span
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>Fraser</span></st1:PlaceName><span
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 </span><st1:PlaceName><span
  style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'=
>University</span></st1:PlaceName></st1:place><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>.=
 </span><st1:date
Year=3D"2010" Day=3D"2" Month=3D"4"><span style=3D'font-size:12.0pt;line-he=
ight:200%;
 font-family:"Times New Roman"'>2 Apr. 2010</span></st1:date><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>.=
<o:p></o:p></span></p>

<p class=3DListParagraphCxSpMiddle style=3D'margin-top:0in;margin-right:0in;
margin-bottom:0in;margin-left:1.0in;margin-bottom:.0001pt;mso-add-space:aut=
o;
line-height:200%'><span style=3D'font-size:12.0pt;line-height:200%;font-fam=
ily:
"Times New Roman"'>&lt;</span> <span style=3D'font-size:12.0pt;line-height:=
200%;
font-family:"Times New Roman"'>http://www.sfu.ca/sonic-studio/handbook/Deci=
bel.html&gt;.<o:p></o:p></span></p>

<p class=3DListParagraphCxSpMiddle style=3D'margin-bottom:0in;margin-bottom=
:.0001pt;
mso-add-space:auto;text-indent:-.25in;line-height:200%;mso-list:l0 level1 l=
fo1'><![if !supportLists]><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman";
mso-fareast-font-family:"Times New Roman"'><span style=3D'mso-list:Ignore'>=
8.<span
style=3D'font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </spa=
n></span></span><![endif]><span
style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>&=
#8220;Field
Intensity Units.&#8221; <u>Softwright LLC</u>. 1999. </span><st1:date
Year=3D"2010" Day=3D"2" Month=3D"4"><span style=3D'font-size:12.0pt;line-he=
ight:200%;
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style=3D'font-size:12.0pt;line-height:200%;font-family:"Times New Roman"'>.=
<o:p></o:p></span></p>

<p class=3DListParagraphCxSpLast style=3D'margin-top:0in;margin-right:0in;
margin-bottom:0in;margin-left:1.0in;margin-bottom:.0001pt;mso-add-space:aut=
o;
line-height:200%'><span style=3D'font-size:12.0pt;line-height:200%;font-fam=
ily:
"Times New Roman"'>&lt;http://www.softwright.com/faq/engineering/FIELD%20IN=
TENSITY%20UNITS.html&gt;.<o:p></o:p></span></p>

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