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Topology (#2): Topology of the plane (cont.): math_class

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Topology (#2): Topology of the plane (cont.). The topology of the plane (continued). I just fixed a rather major typo in the last class. The definition of "exterior point" should have read. A,b) in R. Is an exterior point. If there a neighborhood of. A,b) that does not intersect. A,b) in S. Is an exterior point. If there a neighborhood of. A,b) that does not intersect. So far the main points we have learned are:. That subsets of the plane that are the interior of a disc are known as neighborhoods. Must b...

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Topology (#1): Topology of the plane: math_class

http://math-class.livejournal.com/3635.html

Topology (#1): Topology of the plane. The topology of the plane. In this section we will we shall take a look at the topology of the plane, R. See the guide to the notation used in this class. Note that I am denoting elements of the plane by an ordered pair of real numbers, (x,y). I chose to do this to emphasize the familiar Euclidean and Cartesian structure to the plane, however the reader should be aware that we are concerned with the. X,y) I will introduce and make use of this notation in later classes.

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NumberTheory101 (#3a): Answers to problems with Chinese Remainder Theorem: math_class

http://math-class.livejournal.com/4691.html

NumberTheory101 (#3a): Answers to problems with Chinese Remainder Theorem. 1 Find the unique (up-to-modulo-equivalence) solutions to:. 1 2 * x = 1 (mod 9). 5 * 2 * x = 5 * 1 (mod 9). 1 * x = 5 (mod 9). 2 5 * x = 3 (mod 7). 3 * 5 * x = 3 * 3 (mod 7). 1 * x = 2 (mod 7). 3 9 * x = 6 (mod 12). 3 * x = 2 (mod 4). 3 * 3 * x = 3 * 2 (mod 4). 1 * x = 2 (mod 4). Or 10 (mod 12). 4 9 * x = 4 (mod 12). This was a trick question. There is no solution because 4. Is not divisble by gcd(9,12) = 3. 2 I sent out 150.

dragonladyflame.livejournal.com

hide what you have to hide, and tell what you have to tell - Shataina's Shout into the Void

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Shatainas Shout into the Void. Hide what you have to hide, and tell what you have to tell. Jan 26th, 2007 at 12:00 AM. Anyway, tonight I decided to randomly immortalize a story she told me the other day, just to see what it was like. I concluded:. I clearly do not have the patience, at least not today. I got quite sloppy pretty much right away. No way could I stick to a schedule. Look how often I update poor Shataina. I should finish a few side writing projects before I even think about this anyway.

math-class.livejournal.com

topology: class delayed: math_class

http://math-class.livejournal.com/4224.html

I'm afriad I will have to delay this week's class, hopefully I will be able to do it on thursday. Sorry to disapoint. Post a new comment. We will log you in after post. We will log you in after post. We will log you in after post. We will log you in after post. We will log you in after post. Your IP address will be recorded. Post a new comment. Post a new comment. Notation used in math class' topology class. NumberTheory101 (#3): Chinese Remainder Theorem. Follow us on Facebook. Follow us on Twitter.

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Poll: math_class

http://math-class.livejournal.com/2171.html

Here is a poll where you can vote for what class I will teach. I have only listed subjects I feel comfortable teaching, so your suggestion may not appear on this list. Basic (precalc style) algebra is very much a prerequisite for the calculus and complex analysis courses, but most people have allready had a good bit of algebra, so I feel comfortable skipping this (if no one minds). Detailed results viewable to: All. What class should I (. Calculus ( rates of change, integrals, and other such stuff).

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NumberTheory101 (#3): Chinese Remainder Theorem: math_class

http://math-class.livejournal.com/4381.html

NumberTheory101 (#3): Chinese Remainder Theorem. Previous Lesson: Greatest Common Divisor. I said, in the last lesson, that we would get into factoring during this lesson. I had forgotten, at the time, that I wanted to hit on the Chinese Remainder Theorem. So, factoring will have to wait until next class. Greatest Common Divisor (Continued). The proof creates a set of all positive numbers a * u b * v. Are integers. It shows that the set is non-empty (one way to do this is to let u = a. And v = b. It goes...

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notation used in math_class' topology class: math_class

http://math-class.livejournal.com/3882.html

Notation used in math class' topology class. I will edit this to contain the right stuff later. Post a new comment. We will log you in after post. We will log you in after post. We will log you in after post. We will log you in after post. We will log you in after post. Your IP address will be recorded. Post a new comment. Post a new comment. Topology (#1): Topology of the plane. Follow us on Facebook. Follow us on Twitter. 1999 LiveJournal, Inc.

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NumberTheory101 (#1a): Answers to problems in Modular Arithmetic: math_class

http://math-class.livejournal.com/1970.html

NumberTheory101 (#1a): Answers to problems in Modular Arithmetic. 1 Calculate two different ways:. 1 (3 11 8) % 2. 3%2) (11%2) (8%2) % 2. 2 (3 * 11 8) % 2. 3%2) * (11%2) (8%2) ) % 2. 7%3) ) % 3. 2 Calculate: ( (241 * 36). 32 * 15 5). 241%5) * (36%5) ). 32%5) * (15%5) 5 ). Post a new comment. We will log you in after post. We will log you in after post. We will log you in after post. We will log you in after post. We will log you in after post. Your IP address will be recorded. Post a new comment.

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NumberTheory101 (#2): Euclidean Algorithm: math_class

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NumberTheory101 (#2): Euclidean Algorithm. Previous Lesson: Modular Arithmetic. First off, I want to add to the modular arithmetic thing from last week. I want to show you a couple more tricks for making the calculations easy. One key in some of the problems from last week was that some ornery looking numbers were really congruent to one or zero modulo the base. For example, 241 % 5 = 1. Well, 249 = 4 (mod 5). Is the same as (-1). Now, what does that mean? First, the symbol. For the record, the three pro...