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General background information

So far, we have been dealing with column matrices, points, vectors, and lines. (We will get to other topics in future modules.)

What is a point?

According to Kjell, a point is simply a location in space. It has no width, depth, or height. Therefore, it cannot be seen by the human eye,which means that we can't draw a point on the computer screen. However, it is possible to draw an object on the computer screen that indicates the locationof the point.

What do I mean by this?

Suppose you go out onto your driveway and establish that one corner of the driveway represents the origin in a rectangular Cartesian coordinate framework. Then you usemeasuring devices to identify a specific location on the driveway. You can point to that location with your finger, and others can see your finger, butthey can't see the point. Once again, the point has no width, height, or depth, and therefore cannot be seen by the human eye.

Mark the point

What you can do, however, is to take a piece of chalk and draw a small circle around your finger. Then others can see the mark that you have drawn as anestimate of the location of the point. It is very important however to remember that the chalk mark is not the point. It is simply a visualobject that indicates the location of the point to some degree of accuracy. The actual location of the point is a piece of underlying data . The chalk mark is a graphic object that you have invented to represent thatunderlying data in a visual way to a human observer.

Program output

Both of the sample programs that I will explain in this module will produce the same graphic screen output, which is shown in Figure 1 .

Figure 1 Screen output from both sample programs.

Missing image.

The left image in Figure 1 contains seven small circles. Each of those seven circles marks the location of a point in the 2D space of the image.However, those circles are not the points. The seven points consist solely of coordinate values and are not visible to the human eye. The sevencircles are graphics objects that were placed there to mark the locations in space of the seven points. The points existed in the 2D space before thegraphics objects were created, and would have existed even if I had not caused the circles to be drawn to mark the locations of the points.

What is a line segment?

This can be even more confusing. Kjell tells us that a line segment is the straight path between two points, and that it has no thickness. Sinceit has no thickness, a line cannot be seen by the human eye.

The left image in Figure 1 contains six graphic objects that we are likely to call lines or line segments. True enough, those graphic objects markthe path taken by the lines that represent straight paths between the pairs of points whose locations are indicated by the circles. However,those graphic objects are not lines in the context of this discussion. Rather, they are simply graphic objects that were used to mark the paths ofthe lines in a visual way for the benefit of a human observer.

Questions & Answers

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
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
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
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Do you know which machine is used to that process?
how to fabricate graphene ink ?
for screen printed electrodes ?
What is lattice structure?
s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
On having this app for quite a bit time, Haven't realised there's a chat room in it.
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
many many of nanotubes
what is the k.e before it land
what is the function of carbon nanotubes?
I'm interested in nanotube
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
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