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wBeverly's Journal |
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This is my Journal. If you stop by, leave a comment. Thanks!
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wFebruary 01, 2003 |
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Okay, got it!
Prove that a * -1 = -a.
-1 + 1 = 0 // additive inverse
a * (-1 + 1) = a * 0 // cancellation laws
(a * -1) + (a * 1) = a * 0 // distributive of */+
(a * -1) + (a * 1) = 0 // anything multiplied by zero is zero... see another proof in the text book
(a * -1) + a = 0 // multiplicative identity
(a * -1) + a + (-a) = 0 + (-a) // cancellation laws
(a * -1) + (a + -a) = 0 + (-a) // associative property of addition
(a * -1) + 0 = -a // additive identity
a * -1 = -a // additive identity
posted by
Beverly at 8:44 PM
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wJanuary 31, 2003 |
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Okay, here's something way cool: Prove that 4 + 3 = 7.
Let 2=1+1, 3=2+1, 4=3+1, 5=4+1, 6=5+1, 7=6+1, 8=7+1, 9=8+1, t=9+1. Also, assume the 10 axioms that constitute a field are true. (These include commutative property of * and +, associative property of * and +, identity of * and +, inverse for * and +, zero/one rule, and distributive of */+.)
4 + 3
4 + (2 + 1) -- definition of 3
4 + (1 + 2) -- commutative property of addition
(4 + 1) + 2 -- associative property of addition
5 + 2 -- definition of 5
5 + (1 + 1) -- definition of 2
(5 + 1) + 1 -- associative property of addition
6 + 1 -- definition of 6
7 -- definition of 7
WAHOO! 3+4=7!!!
posted by
Beverly at 7:24 PM
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wJanuary 30, 2003 |
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How does one prove that a*(-1) is -a? AAA! I still love math -- I find this very interesting... but come on, some of this stuff is wacky! I'll find a way to prove it... if it's the last thing I do!
posted by
Beverly at 10:46 PM
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wJanuary 29, 2003 |
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I accomplished much today. 'Nuff said. I'm tired.
posted by
Beverly at 9:45 PM
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wJanuary 28, 2003 |
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I did some good things today. I worked at the Health Center from 8 to 10 am. Then, I picked up my Prexy music lab key from Phys Plant. Next, I went to Prexy to return Bonnie's mallets that I borrowed for the drill down. I stayed there a bit to play on the computers and keyboards (there is Finale on those computers). After that, I went to the Library special collections to drop off an article I found about an alumna who married Paul Bragdon's son (Paul Bragdon was a president at Reed not long ago).
Also this morning, at the Health Center, two different doctors (at different times, I might add) thought I was a doctor! Phillip even introduced himself to me as if I were a doctor -- the funny thing is that I had already met him when I was there for a physical in December. Maybe next time I'll lead them on longer before telling them that I'm a student! :)
posted by
Beverly at 11:05 AM
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wJanuary 27, 2003 |
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I have the coolest math class in the world! We just went through all the additive and multiplicative properties and proved that the identity properties in each work. We also defined a field and showed that not all systems of numbers are within the field we define with the two binary operations (plus and dot). Joe Roberts is such an awesome professor -- he knows what he's doing, and he puts it very concisely. I have a feeling I'm really going to like my math classes here (I probably would anywhere, but here especially!).
I got my computing final back today -- 100/100! Woo woo. My physics exam would have been an A, but with the bell curve, it was knocked down to a very high B. Grrr. Hey, on the bright side, this is my first exposure to Physics (whereas many other have taken 1 or 2 years already!). I'm not sure how our humanities exam worked out with the weighting of the parts, but I didn't do very well on the identification of passages (which no one did really well on)... I did get 38/40 on both of my essays, though (which I guess, is okay). Hopefully my grades are all holding up... I don't plan on checking them at all during my years here.
I went to music theory today, as well. I enjoy that class very much. I enjoy singing -- something I never admitted to myself before, but I now do. I'm going to join the choir here.
What else? I think I like Eliah. I'm not completely sure yet... Ben says he's not my type for the same reasons Jesse was not my type -- only, I don't think Eliah does drugs (but I know for a fact that he drinks). Well, I don't really know if I want a boyfriend anyway... they take up a lot of time (even when they're not around, because I'd think about him all the time!). I really need to try to stay on top of my studies... as the free time in the day already makes that difficult.
Last thing, I promise... Hyun is going to teach me how to play the violin.
posted by
Beverly at 4:56 PM
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