UT SLOG CSC165H1 FALL2014 - SPENCER OGAWA: December 2014

Thursday, December 4, 2014

Floor - Assignment 2

This is going to be my last post for this season.

I reviewed Assignment 2 which I got very low mark (eventually failed). I found I have a big problem with floor notation.

It seems obvious when the solution is in front, but I need to re-assure that I understand the two problems below.

This time, I use GoodNotes (iPhone) to publish the two problems.

Click image to enlarge.

Basically, I have to understand the definition of floor notation. I think now I'm good to go with final exam except those we haven't done any practice in either quiz/mid-terms or assignments, such as "onto".

Tomorrow, I will review past exams, and I should be okay for the final exam as I made enough mistakes to actually LEARN CSC165H1 (I think).

Wednesday, December 3, 2014

LaTex Copy & Paste / Assignment 3

I finally found the way to copy & paste LaTex codes.

Simply visit https://latex.codecogs.com/ this website, create a code, and copy + paste on the blogger's compose panel.

$\forall e \in \mathbb{R}^+, \exists d \in \mathbb{R}^+, \forall x,y \in \mathbb{R}^+, |x-y|>d \Rightarrow |x+y|>e$
This is one of the assignment-3 questions which I have to review because I still misunderstood how the order of quantifiers matters.

I thought this is false, but it's actually true.
$\exists e \in \mathbb{R}^+, \forall d \in \mathbb{R}^+,\exists x,y \in \mathbb{R}^+, |x-y|>d \wedge |x+y| \leq e$
When I negated the claim as above, I could pick e, x and y. I picked
$e = \left \lceil d \right \rceil + 3$
and
$x = 1, y = d + 2$
It works, iff the claim is:
$\forall d \in \mathbb{R}^+, \exists e \in \mathbb{R}^+ ....$
like this. I actually picked the variable "d" before "d" is introduced. The professor told us about the ordering of the quantifiers is significant when proving such claims in his review session. At that time, I didn't quite get it.

But now I get it!!

People learn from their mistakes. It's true. I've at least fixed this problem, and I hope this mistake helps my future courses such as CSC236.

There are several other things that I made mistakes on Assignment-2 need to be mentioned and noted in this blog to make sure I will not make the same mistakes during the final exam.

And again, check out latex.codecogs.com. This is a great and easy way to implement math equations on the web!!

Monday, December 1, 2014

Nice sLog - Blogger

Many students at CSC165 post their sLog in Blogger system. This is now owned by Google, and it's quite useful (as it seems Google always add Blogger updates within as early as 12 hours).

I actually went around other students' blogs and see how they build up their sLogs. I found one website that I want you to check out.

http://monicashver.blogspot.ca/

I found many students don't care about the style of their blogs. This is sometimes true for professor's websites too. (Or I would say it's true for many times). In business field, the desgin/style part of business projects is very important. I believe this is same for sLog. So I linked the one above, because that blog uses a cool style sheet (CSS), and attract vistors to her blog.