See attachment Essay Example | Topics and Well Written Essays - 2500 words

See attachment - Essay Example At first, I will simply count the matchsticks to determine the number in each of Gemma's patterns. I want to find a way to accurately establish the number of matchsticks in a set of patterns without having to physically count them, especially for large diagrams. I think this method will most likely result in a formula. To start with, I will answer the first task which instructs me to determine how many matchsticks are in each of Gemma's pictures. My method will be to simply count the number of matchsticks in each diagram, so that I can have a basis for comparing the number of matchsticks in each pattern and then investigate how they relate to the number of matchsticks in patterns with different widths. I can show my initial results as follows: I notice that there is a relationship between the width of the pattern and the number of matchsticks used. Obviously, as the picture gets wider, more matchsticks are used; but they are not in a direct relationship. In a direct relationship, if a diagram that is one matchstick wide has 6 matchsticks, then it could be expected that one that is 2 matchsticks wide would have 12, and one that is 3 matchsticks wide would have 18. Mathematically, this could be expressed as the number of matchsticks (n) is equal to 6 times the number of widths (w), or: n=6(w). This formula works for the first picture, but is not accurate for the other two. Clearly, there is a relationship of increasing linear proportions, but it is made more complicated by the fact that each pattern of matchsticks shares a common side. This explains why the sequence is not 6, 12, 18, 24, 30, and 36. Any mathematical or formula representation will have to account for the fact that after the first unit, each additional unit of width lacks the two matchsticks it has in common with its neighbor. I think I should use algebra to try and explain this relationship because it is useful in understanding quantitative relationships, and I think a simple linear function will work. The first unit of 1 width has six matchsticks. A second unit (or 2 widths) would share two of those matchsticks already in place and add four more. It would look like this: || ||| |_| 6 Matchsticks |_|_| 10 Matchsticks If the formula can account for the initial width having 6 matchsticks and all other additions having four, it would be a reliable expression. This could be accomplished by representing the total number of matchsticks as a function of the first width having six and all others having four. By simply adding the number of the first width

Peer Response Article Example | Topics and Well Written Essays - 250 words

Peer Response - Article Example I personally commend your use of easy to understand language, which made it possible for me to understand some of the laws and the various Acts that cover them. This makes it possible for even the most of average people to read and find your post motivating and educative. By making the government Acts available in your post, you provided enough evidence to support your strong arguments. In my opinion, there was no misrepresentation of any evidence through the post because any and all your sources of information are recorded and sufficient. The practicality of what you researched on can be seen in what is happening in some of the states in America. Some criminal acts are often treated differently if the perpetrators are based in certain states. For my part, I would say that the your interpretation of the laws present provided me, and other readers, with the much needed insight into what happens when one breaks laws with regards to computer and information security. This insight may wo rk toward guiding us as we deal with the ever-changing face of the technological