Four knights, 2 white, and 2 black are sitting on a 3x3 chessboard. The knights were really bored, since they spent all of their time sitting on the chessboard doing nothing, so they decided to try switching places so that the white knights would end up where the black knights started our and the black knights would end up where the white knights started out. To do this, the knights had to follow the following rules:

-No two chess pieces can occupy the same square at the same time -Knights can jump or pass over each other on the way to an empty square -The knights can only move 2 squares up (or down, or left, or right) and 1 square to the left (or right, or up, or down.) The moving combinations must be 2 up or down and 1 to the left or right. Or, 2 to the left or right and 1 up or down. Example: They can't move 2 to the left and 1 to the left. They must always move in an "L" shape. -No two pieces can switch spots at the same time

-The knights can only move one at a time
-They must stay within the 9 squares of their 3x3 chessboard

Process

To solve this POW I read over exactly what it was asking and what the rules to solving it were. The easiest method to solve it was by using "Draw-A-Picture." I started out with drawing a 3x3 square and marking the positions on the board where the 2 white and 2 black knights were. To keep track of which knight was which, I named the uppermost left black knight Henry, or "H", the uppermost right black knight Julio, or "J", the bottom left white knight Timmy, or "T", and the bottom right white knight Nacho, or "N." TO start out, I drew a 3x3 square and drew the initials of the place where each knight was supposed to be. When I moved one knight, I drew an arrow to the spot where I wanted the knight to go, and then showed the moved knight in the 3x3 square, along with another arrow showing a different knight moving. To keep track of the various moves that the knights took, for every new move the...

...W. #2
The BigKnightSwitch
Problem Statement
One day 2 white chess knights and 2 black chess knights were on a chess board, which is 3x3 squares. The knights decided to try to switch places, like the white knights would end up where the black knights started out and the black knights would end up where the white knights started out.
The rules are:
Each ‘move’ consists of two squares in 1 direction and then 1 square in a perpendicular direction.
They have to stay within the nine squares of their board
There are 4 questions that you must answer also:
Can they do it?
If so, what is the least number of moves it will take them to switch?
How do you know this number is the least?
If it is not possible, explain why not.
The board looks like this:
Process
To solve this POW I read over exactly what it was asking and what the rules to solving it were. The easiest method to solve it was by using a picture of a 3x3 chess/checkerboard. I started out with drawing a 3x3 square and marking the positions on the board where the 2 white and 2 black knights were. To keep track of which knight was which, I labeled on the top and bottom of the chess/checkerboard where each knight started out, because when I first started out I...

...statements. Together it says that no birds less than 9 feet tall are in the aviary. Then when you combine that statement with the fourth statement you deduce that the birds in the aviary are ostriches. And when you conclude the third statement you get a final statement that says the birds in the aviary are ostriches and they do not eat mince pies.
Part Two
Valid Conclusion: People with hats are untrustworthy
Untrustworthy people are dangerous.
Invalid Conclusion: Some Golden Retrievers are gold
These dogs are gold
3. This POW has to do with mathematics because it is all about logic. In math without logic you would less successful then if you do have logic. If something does not seem right to you or is confusing you are using logic to realize that something is wrong and will use it to solve it. Without logic you wouldn’t know when something is right or wrong.
4. This POW was fairly simple. But some of the problems required you to think more than others. But if you think it out in steps you will be able to solve them easily. I believe that I did well and thought out each problem as well as I can....

...The BigSwitch
Sharandon Primm, Alan Harville, Jonathan Leverette, Kimberli Fletcher, and Dulce Cadogan
Business 220
May 16, 2013
Gary LaRoy
The BigSwitch
The president of our company has brought to our attention that he would appreciate it if our department could create a new information system for our company. The current information system that we use is Microsoft Excel and we need to create a way to transfer and implement the new office system of Microsoft Access. We need to explain the current downsides to using Microsoft Excel and explain the positive ways by using Microsoft Access that will help our company grow, expand, and be more efficient to our company. We also need to come up with software that is compatible to Microsoft Access just to have a contingency plan, in case the president is not pleased with the results we research and to help improve the internal communications along with help make the workflow of the sales department improve. We do know that the current plan is not working for our company and we need to all work diligently to improve our current system and make the transition easy.
Microsoft office is a great tool and Excel, when used properly, is a valuable asset. The problem with Microsoft Excel is that there are various manual inputs that can go wrong. Other common problems that can cause an error involve not using a colon to indicate a range of cells, forgetting to close your...

...It was the duty of a Middle Ages Knight to learn how to fight and to serve their liege Lord according to the Code of Chivalry. The Code of Chivalry dictated that a Knight should be brave and fearless in battle but would also exhibit cultured Knightly qualities showing themselves to be devout, loyal, courteous and generous. (Bouchard 2) Weapon practice included enhancing skills in the two-handed sword, battle-axe, mace, dagger and lance. A Knight would be expected to guard the Castle and support his liege lord in Middle Ages warfare. Details of the life of Middle Age knights in a castle, together with castle warfare, are covered in the section about Middle Ages Castles.
To gain Knighthood in the Middle Ages was a never-ending task. Knighthood was not passed down purely because a young man was the son of a noble. There were many steps to achieving a knighthood, requiring years of training. The steps towards achieving a knighthood started with training as a page and then as a squire, also referred to as an esquire.
Generally there were two ways that a boy could eventually become a knight. The first way was to be born into it. If a boy was the son of a knight or royalty he could be assured the opportunity of becoming a knight. Secondly it was possible for a man to become a knight by proving himself through bravery and prowess on the battlefield....

...of Siti Rokiah, Hjh Norhayati and Siti Zahrani, students of Universiti Brunei Darussalam after an investigation of the use of electricity at a local secondary school.
Categories Uncategorized
Problems
October 13, 2011 //
0
• The usage of air-conditioners in the school is extensive and wasteful.
• There are no written regulations concerning the usage of electricity.
• Students are not aware of the low electrical tariff set by the government and the cheap cost of electricity and do not question the school’s electricity bill.
• Students admit that they do not take much action to conserve electricity and often waste electricity at home.
• Students usually do not bother to turn off:
o Switches along the school block corridor
o Light switch in toilets
o Air-conditioners and light switches in the classrooms and laboratories at the end of class.
• The latest SPN 21 Secondary Science syllabus does not contain the topic ‘The Importance of Saving Electricity’.
•Energy conservation was taught but not specifically on electricity.
•Efforts in Energy Club do not involve all students and are more focused on awareness than action.
Figure 1: Empty toilets with the lights left on.
Figure 2: Lights on at a corridor after 4pm.
Categories Uncategorized
Possible Solutions
October 13, 2011 //
0
• Contractors to design schools that are more energy efficient.
• Only building companies that design schools that are energy efficient can be approved.
• Banks to...

...Corey Camel
Problem Statement Corey Camel owns a banana grove with 3000 bananas on it. She can only carry 1000 bananas at a time. The market where she can sell her bananas is 1000 miles away. Sounds easy right? Wait there’s a catch. For every mile she walks she has to eat one banana. See now it got hard. So with all of this said how many bananas will he be able to take to the market and sell?
Process Doing the mini POW helped a lot with this one. Because knowing that Corey Camel can drop bananas on the way to the market is an important part, because of he couldn’t the answer would be an obvious zero. Since you can drop them I decided to drop 800 bananas at the 100 mile point. That way she can eat her 100 bananas that she needs to on her way there and still have another 100 to get back to her banana grove. When she gets there she’ll have 900 new bananas. The only problem is that she can only carry 1,000 bananas at a time. So she takes 1,000 bananas the rest of the way. This would leave her with 100 bananas. Then I realized that wasn’t the largest amount that she could sell. So I started to work backwards from 500 miles. I did this because 500 is half of 1,000. The only problem with 500 is that she would use 500 bananas to get there and wouldn’t be able to drop any bananas because she would have to use the last 500 bananas to get back. So I started to work with 400 miles. When she gets there she has 600 bananas to drop. But she needs 400 of those to go...

...illustrative reflection on the issue:
Imagine that society were to “convene” to abolish the term “fire”—as sounding too dangerous—
and to replace it by the term “water-minus.” So as to avoid confusion, the term “water” would be
replaced by the term “water-plus.” Now imagine the frantic phone-calls to the fire fighters’
station by desperate residents of a burning apartment block:
“Hello, hello, water-minus fighters’ station???!!! Our building is on water-minus! Waterplus pressure is very low, so we can’t fight the water-minus by ourselves! Please come
ASAP and don’t forget to carry an extra charge of water-plus!”
Of course, evaluation and planning are both constructed “now,” which means that they are
instantly being relegated to the past. The big difference between the two, however, is that
evaluation tries to understand the past while planning tries to imagine the future. Both endeavors
are part and parcel of everyday life, of course, but planning and evaluation are concentrating on
projects, programs and policies as presented in the preceding section. Policies are the most
comprehensive of the three in terms of time horizons and scope, and they are the furthest
removed from practical action. A cluster of programs will be conceived that will move them
towards realization, detailing sectors and geographical areas concerned. And finally, each
program will be split into a series of projects which will define, in turn, the “outputs” to be...

...Problem Statement
There are twelve items numbered 1 through 12. All of the values or "weights" are the same except one item whose value is either greater than or less that the other 11 by an unknown amount.
One can compare the sum of the values of a number of items in a set with the sum of the values of items in a disjoint set to see which one is greater. This comparison is also called "weighing."
Find the least number of ways to determine which item has a greater or lesser value.
Process
From the previous POW it was concluded that it would take 5 weighings as described by the equation for an unknown item value:
However, this is an overestimate as there is a way to determine the lighter of nine items with only two weighings. This was overlooked in the last POW (Eight Bags of Gold). Nine items can be weighed by dividing into three sets of size three. Comparing two sets together would determine which set contained the lighter item. With the last weighing, one can determine the lightest item.
This raises the limit of weighings meaning that it would take a mere three weighings to single out the different item out of a set of 27.
Anyway, determining the item which is either lighter or heavier out of 12 is claimed to need only three weighings. It can be done in four because the largest power of three that's within 12 is 33,...

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