I love soccer, camping, road trips along the California coast, traveling, learning from othere cultures first hand and applying that knowledge to my everyday life, hanging out with friends, bonfires at the beach, music, art, reading, adventures(kayaks in big bear), walks along the beach, shopping, movies, crime shows, designing clothes, baking, and falling asleep on the sand.
Wednesday, May 19, 2010
Evelyn Glennie
Monday, January 11, 2010
Mobile Digital TV
Sea Life Census Breakthrough
Wednesday, January 6, 2010
Semester Academeic Goals: Mysics
Explore more applications of math and physics (mysics)
First Step:
Start doing challenge assignments
2.) Goal:
Continue to use previous work habits in order to keep my grades up
First Step:
Do all homework as soon as it assigned and don't procrastinate
3.) Goal:
Continue to ask questions in class when the material being convered confuses me.
First Step:
Ask my peers the questions I have as they arise.
Monday, November 2, 2009
The Meaning of Zero
I thought the articles were very interesting when they were talking about the number zero's origin. They both talked about the cultures creations of placeholders such as zero, but detailed that the exact origin of zero has not been pinpointed.
To me zero was not necessarily discovered by any one person. This is because the exact origin of zero cannot be pin pointed, and if a civilization was developed enough to have quantities larger than 99 or even occasionally 10, they would in fact need a number or place holder such as zero. Regardless, a person came up with the concept of zero, but we do not know who or where the original founder came from. For instance, the Chinese would use a symbol similar to the modern day 0 (zero) and the Romans had roman numerals such as X and C which represent the numbers 10 and 100. So, even though the Romans or Chinese were not necessarily using zero how we use it today, as a number, they were using a placeholder of sorts to represent it, and so were many other civilizations and cultures around the world.
Because of things like the Silk Roads, a major point of evolution in history, not only were things such as languages developed and dialects brought to other places as well as religious ideas and mechanisms, so was the idea of Zero.
While we may, as people of the world, have different ways for communication, different languages, and different government ideals, math cannot change per country. Math is the same everywhere, regardless of which symbols we use in place of numbers. Because of this, the world had to eventually come up with a common number for zero, or at least a way to define it. No matter where you go, formulas, operations, and expressions will be the same. Zero is the same way, even if it is represented differently the meaning is the same around the world, and without it things could not be computed which is why all cultures have had to accept it as a number.
Friday, October 2, 2009
The Locker Problem
In the locker problem we had to find out which lockers, out of a thousand, were opened and closed after a thousand students changed the state of the lockers. The first person would open all the lockers, the second change the state of every second one, the third change the state of every third one, and so on and so on. After making a chart of about 50 lockers and going through the pattern, marking it each time it was open or closed as well as how many times its state was changed, my group found that every perfect square locker number was open while the rest of the lockers were closed. We also found that the lockers had a pattern, one open, two shut, one open, four shut, etc.
Looking at the data we found that every closed locker had an even amount of factors, meaning its state was changed an even amount of times. The lockers that were open in the end were the only ones with an odd amount of factors, and its state was changed an odd amount of times. This meant that only perfect squares had an odd number of factors, or an odd number of times their state was changed in the case of the problem. For example four has the factors two, four, and one, because 1x4=4, and 2x2=4, and you only count two once when you list the factors. This relates to the lockers because each locker number will be opened or closed by each of its factors once. Student one, two, and four are the students that will open or close locker number four because they are the factors in this problem. Four has three factors, so it was opened, then closed, then opened. In the case of another number, like 21, there will always be an even amount of factors, one, seven, three, and twenty-one, making it have four factors., i.e. being opened, closed, opened, and then closed by the twenty-first person, and never hit again. Only lockers hit an odd amount of times were open because, as seen in the diagram above (click on it to enlarge), when a locker was hit an even amount of times, it ended up being closed.
In the end of the problem we found out that there are only 31 perfect squares within a thousand giving you 31 lockers open, and 969 closed. In terms of finding a general rule in order to solve this problem further, it would be extremely difficult, even with the pattern found above (1 open, 2 shut, 1 open, 4 shut). The general rule is hard to find because as you extend the problem, the number of closed lockers increases, along with the number of perfect squares. So, if we had to solve this equation for two thousand lockers I would stick to using either the pattern, or just find the perfect square locker numbers within the total amount.
Wednesday, September 9, 2009
Friday, September 4, 2009
Mysics
