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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.

Questions & Answers

differentiate between demand and supply giving examples
Lambiv Reply
differentiated between demand and supply using examples
Lambiv
what is labour ?
Lambiv
how will I do?
Venny Reply
how is the graph works?I don't fully understand
Rezat Reply
information
Eliyee
devaluation
Eliyee
t
WARKISA
hi guys good evening to all
Lambiv
multiple choice question
Aster Reply
appreciation
Eliyee
explain perfect market
Lindiwe Reply
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
Ezea
What is ceteris paribus?
Shukri Reply
other things being equal
AI-Robot
When MP₁ becomes negative, TP start to decline. Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Kelo
yes,thank you
Shukri
Can I ask you other question?
Shukri
what is monopoly mean?
Habtamu Reply
What is different between quantity demand and demand?
Shukri Reply
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
ok
Shukri
how do you save a country economic situation when it's falling apart
Lilia Reply
what is the difference between economic growth and development
Fiker Reply
Economic growth as an increase in the production and consumption of goods and services within an economy.but Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
Abdisa Reply
any question about economics?
Awais Reply
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
thank you so much 👍 sir
Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50. A,Calculate quantities of x and y which maximize utility. B,Calculate value of Lagrange multiplier. C,Calculate quantities of X and Y consumed with a given price. D,alculate optimum level of output .
Feyisa Reply
Answer
Feyisa
c
Jabir
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
Gsbwnw Reply
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product
Abdureman
types of unemployment
Yomi Reply
What is the difference between perfect competition and monopolistic competition?
Mohammed
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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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