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Figure 1 . Single-line format.
((3*x^2)/(4*x) * (6/(4*x) = (18*x^2)/(16*x^2) = 18/16

Expressions in this format may be more difficult for people to work with than the multiple line format described above. With enough time and practice, I might become almost as proficient inevaluating expressions as shown in Figure 1 as in evaluating expressions in a multiple-line format, but I'm afraid that I would need a lot oftime and a lot of practice to achieve that proficiency.

We must work with what we are given

However, we must work with what we are given so the mathematical expressions in this module (and most of the other modules as well) will mostly bepresented in a single-line format. The good news is that the single-line format can usually be easily translated into a format thatis suitable for evaluation using JavaScript and other programming languages.

What do we mean by units?

Let me try to answer this important question with an example.

If you were to walk from your home to your school and count your steps, you might report that the distance from your home to your school is 2112 steps or paces. Ifyou are a male student, this would probably be approximately one mile, using assumptions that I will explain later. If you are a female, it would probably besomewhat less than a mile because your pace would probably be a little shorter than your male friend's pace.

A pace is a unit of measurement

In this case, the pace would be a unit of measurement. However, it would not be a standard unit because the length of a pace for one student is often different from the length of a pace for a different student. A male student, forexample, typically has a longer pace length than a female student.

Standard units

Standard units are units whose value has been set by some official agency that has the authority to set standards. One such standard unit is the mile,which as you may know is equal to 5280 foots (more commonly pronounced feet).

A foot (not a feet) is also a standard unit, which you may also know is equal to 12 inches. An inch is another standard unit.

SI units

The discrepancy between the pronunciation of the unit foot and its plural feet is an example of the need for more consistency in the use of units. Many physics books use a system of units called SI units . SI is an abbreviation for a French name, which I am unable to pronounce.

I won't attempt to explain much about SI units. You can probably Google SI units and find hundreds of web pages that explain the system in varying levels of detail.

Tables of SI units

Most of those references will probably also provide tables for the units. I will also attemptto provide tables in Figure 2 and Figure 3 .

Don't ignore the details

Note, however, that you should not ignore the online SI-unit tables altogether. They are likely to contain important information that I won't reproduce here, such as thefact that the meter is a unit of length and its value is the length of the path travelled by light in a vacuum during a time interval of 1/299792458 of a second .

Questions & Answers

How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
scanning tunneling microscope
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
The nanotechnology is as new science, to scale nanometric
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
characteristics of micro business
for teaching engĺish at school how nano technology help us
How can I make nanorobot?
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
how can I make nanorobot?
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
what is the actual application of fullerenes nowadays?
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
is Bucky paper clear?
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
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Source:  OpenStax, Game 2302 - mathematical applications for game development. OpenStax CNX. Jan 09, 2016 Download for free at https://legacy.cnx.org/content/col11450/1.33
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