# 1.3 Game 2302-0110: updating the game math library for graphics  (Page 16/20)

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Draw the border

While the single GM2D02.Line object is at each location, draw methods are called to cause a Line2D.Double object to be instantiated and rendered on each of the off-screen images. This results in four differentvisual manifestations of the single GM2D02.Line object, producing visible lines at the edges of each off-screen image. Although this code is notparticularly straightforward, the embedded comments should suffice to explain it.

Draw the hexagon

Essentially the same process is used to draw the hexagon shown in the left image in Figure 1 . You can view the code that does that in Listing 28 . Once you understand the code that I explained above, you should have nodifficulty understanding the code that draws the hexagon.

Draw the vectors

A very similar process is used to draw the vectors shown in the right image in Figure 1 . You can view the code in Listing 28 . Once again, if you understand the code that I explained above, you should have no difficultyunderstanding the code that draws the vectors.

That ends the explanation of the program named PointLine04 .

## Documentation for the GM2D02 library

Click here to download a zip file containing standard javadoc documentation for the library named GM2D02 . Extract the contents of the zip file into an empty folder and open the filenamed index.html in your browser to view the documentation.

Although the documentation doesn't provide much in the way of explanatory text (see Listing 26 and the explanations given above) , the documentation does provide a good overview of the organization and structure of the library. You may find ithelpful in that regard.

## Homework assignment

Your homework assignment for this module was to study Kjell's CHAPTER 0 -- Points and Lines plus CHAPTER 1 -- Vectors, Points, and Column Matrices down through the topic titled Variables as Elements .

The homework assignment for the next module is to study the Kjell tutorial through Chapter 2 -- Column and Row Matrix Addition .

In addition to studying the Kjell material, you should read at least the next two modules in this collection and bring your questions about that material tothe next classroom session.

Finally, you should have begun studying the physics material at the beginning of the semester and you should continue studying one physics module per weekthereafter. You should also feel free to bring your questions about that material to the classroom for discussion.

## Run the programs

I encourage you to copy the code from Listing 26 , Listing 27 , and Listing 28 , compile it, and execute it. Experiment with it, making changes, and observingthe results of your changes. Make certain that you can explain why your changes behave as they do.

## Summary

In this module, you learned how to update the game-math library to provide a number of new capabilities including the addition of graphics to the library andthe addition of set methods for column matrices, points, vectors, and lines.

You also saw sample programs that illustrate the use of those new capabilities and you learned how to draw on off-screen images.

how do they get the third part x = (32)5/4
can someone help me with some logarithmic and exponential equations.
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
I don't understand what the A with approx sign and the boxed x mean
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
oops. ignore that.
so you not have an equal sign anywhere in the original equation?
Commplementary angles
hello
Sherica
im all ears I need to learn
Sherica
right! what he said ⤴⤴⤴
Tamia
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
a perfect square v²+2v+_
kkk nice
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
or infinite solutions?
Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
y=10×
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
rolling four fair dice and getting an even number an all four dice
Kristine 2*2*2=8
Differences Between Laspeyres and Paasche Indices
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
is it 3×y ?
J, combine like terms 7x-4y
how do you translate this in Algebraic Expressions
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
what's the easiest and fastest way to the synthesize AgNP?
China
Cied
types of nano material
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
what is nanomaterials​ and their applications of sensors.
what is nano technology
what is system testing?
preparation of nanomaterial
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
what is system testing
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
can nanotechnology change the direction of the face of the world
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
how did you get the value of 2000N.What calculations are needed to arrive at it
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