My name is Kenny Pang and my major is Applied Math. I got interested in math because I find it quite easy. I always get high grades in math classes without having to study much. I currently don’t have any goals after graduation. Maybe I will find a job and work for a couple of years then I may decide to do something else. What I hope to get out of this course is the programming knowledge which may help me in the future. Some of my hobbies are playing video games and watching movies.
Month: February 2017 (Page 3 of 3)
January 31 2017
ch 1 the fundamentals- logic and proofs
1.1 propositional logic
point give precise meaning to math statements
applications
-design of computer circuts see sec 1.2
-writing of software
-verification of correctness
-computer programs
-etc
proposition a statement that makes a declaration -that can be true or false but there is no burden to proove truth
examples
p= ā2+2=4ā T
q = āthe sun comes up every dayā
r = āthe world is flatā
america is the best country ā doesnt matter if its an opinion
2+2 = dog
non examples
any question
where are we
commands
make me a taco
2+2
building new proposions from odl propositions
1- negation (!P)
if p is a proposition
Ā¬p means ānot pā
or it is not the case
Ā¬p = āit is not the case that 2+2=4ā F
- conjunction (&)
if p and q are propositions
pĖq means āp and qā
2+2=4 and the sun will come up every day
p q
| P | Q | pĖq |
| T | T | T |
| T | F | F |
| F | T | F |
| F | F | F |
- disjunction (||)
id p and q are 2 props
pĖ q means āp or qā
2+2=4 or the sun comes up every day
in english can mean either a or b but not both (exclusive or) and a or b or both ā inclusive or
| P | Q | pĖq | pĖ q(inclusive or) |
| T | T | T | T |
| T | F | F | T |
| F | T | F | T |
| F | F | F | F |
- exclusive disjunction or direct sum
pāq means āp or qā but also not both
pāq ā 2+2=4 or the sun comes up every day
can be shown Ė
| P | Q | pĖq | pĖ q(inclusive or) | pāq
(exclusive or) |
| T | T | T | T | |
| T | F | F | T | |
| F | T | F | T | |
| F | F | F | F |
- conditional statements/implications
pāq means āif p then qā
if p is true then q is true
if 2+2 = 4 then the sun comes up every day
p implies q
if p is true q must be true
if q is true it doesnt rely on p for the statement to be true
| P | Q | pĖq | pĖ q(inclusive or) | pāq
(exclusive or) |
pāq |
| T | T | T | T | F | T |
| T | F | F | T | T | F |
| F | T | F | T | T | T |
| F | F | F | F | F | T |
- biconditionals
pāq
(p ā q) ā§ (q ā p)
p if and only if q
this means
“(if p is true then q is true) and (if p is true then q is true)”
| P | Q | pĖq | pĖ q(inclusive or) | pāq
(exclusive or) |
pāq | pāq |
| T | T | T | T | F | T | T |
| T | F | F | T | T | F | F |
| F | T | F | T | T | T | F |
| F | F | F | F | F | T | T |
THE ORDER OD 5 AND 6 MATTERS THE FIRST IS DEPENDANT ON THE LAST
7 QāP converse of pāq
8 Ā¬q āĀ¬p contrapositive of pāq
9 Ā¬pāĀ¬q inverse of pāq
| pĖq | 7 | 8 | 9 |
| T | ? | t | ? |
| F | ? | f | ? |
Prove that the following compound propositions are equivalent:
and
and
and
and
and
and
Yea…My name is Christ-Brian Amedjonekou but you can refer to me with just “Chris”. It’ll be easier for all of us.
What’s my major?
Well I just recently transferred to the school. Last semester was my first semester here. At my other schools I was a computer science major with a minor in math. But currently I’m just an Applied Math major with a concentration in information sciences.
How did I get into math/computers?
Honestly, it was because of movies and anime. Live Free Die Hard was one of them and Ghost in the Shell is the other. But they’re really just some of the media involving technology that I like. Cyber Punk is one of my favorite genres. I’ve always messed with computers and somehow have been good at math although I didn’t realize that I liked it till recently. They’re really the only academic subjects that can keep engaged and interested but like all things, it depends, so don’t hold me to it. But for the most part it’s true. I like how resourceful you can be when you have prerequisite knowledge of processes and how they work.
What am I gonna do when I leave City Tech?
I’m trying to figure that right now actually. Long term? The idea is that I’ll do research in A.I. development, Robotics, and most likely security. Thank Ghost in the Shell for that. But I don’t really want to do it for an organization or company really. I rather have an environment similar to DefCon, a collective of some sort. But maybe they’re funded by major companies? I don’t really know. I guess I’ll have to figure that out. Bottom line I’m looking to be independent mostly collaborating with other people and groups but not super large companies. Short term? Trying to figure out how to make the long term possible.
What I hope to get out of this course? (You donāt mean which grade I want!)
An “A”, seriously <insert emoji>. Can I use emojis? Anyways from what I understand Discrete Mathematics focuses on the building blocks and processes that make maths like algebra, and I guess Calculus and Geometry, work. I equate it to how assembly acts as the middle man between higher programming languages and machine code. But maybe I’m wrong. Either way I’m interested in seeing how this study of discrete math relates to other topics I’m interested in, and the world in general. I already can see with logic that it fits in with computers, electronics, probability.
Other interests/hobbies I have?
My hobbies include working out, playing tennis, basketball, learning how to skateboard and play bass. I hear that people who are good at math are also good with music, so I want to give it a try. Plus I’d like to live out my delusions of being a sick bassist in a band. I also like getting tattoos and piercings, and I game sometimes but only when I’m bored and not doing the other things. OH, and I like to make and sell glass bongs. Works of art really. (That last part’s a joke.)
side note: This last part sounds like one of those weird dating profiles you see in the commercials. Regardless nice to meet you all and I want to wish everybody luck during the semester. Peace.
My name is Cheung Ka Yat. My major is Computer System Technology. Computer is a very useful tools that we all use it everyday for work or entertainment. Just with your finger tips, you can get what you are looking for. I am interested in this major because I want to know more about network, and how it works. I hope I can get a certification form Cisco or Microsoft, also get a networking job to gain experience in this field after I graduate form City Tech. In this class I want to learn more knowledge of algorithms.
My major is CST, I’m interested in Computer Science, because since I was a kid, I played video games, and wanted to be able to make my own. Ā I enjoyed video games, so wanted to become a programmer to be able to create games other people will enjoy, like how I enjoyed the ones I played. Ā I want to be able to find a job in programming, more oriented in making games and fun programs, I hope to find a good company to hire me when I graduate. I’d like to find a job where they train me a little, and see what I know, and not just hire me, expecting me to know everything. I don’t mean to completely train me, just to get me set up with what the company uses, and what they expect me to know to do my job.
I hope to learn interesting things from this course that math can be used to find. I prefer using math for practical uses, as opposed to some formula’s that are rarely ever used in the real world, other than among other mathematically inclined people. Ā From what we learned so far, it seems this math course will teach us logical ways to use math, sinceĀ similar math is used in engineering and programming. It’s interesting that these methods can be used to determine whether a mechanic, or piece of code will work by thinking more like how aĀ computer does when interpreting code.
The closest thing I have to a hobby is that sometimes I like to draw, or try to use paint programs to make images. I sometimes experiment with trying to make/edit music, but I don’t have as much experience doing so, and usually stop after a short time.
Hello, I am Jiayu Zhen. My major isĀ Computer Systems Technology. When i was 6 years old, my dad bought me theĀ first computer . That was Ā pretty awesome that you can see a new world on the screen. I was attracted by the computer at that time. I feel I can’t live without computer in this information era. So, I got interested inĀ computer science major. As the most college students want, I hope I can be hired in aĀ good company after I graduate from City Tech. In this class, I want to learn more about logical thinking andĀ algorithms, in order to Ā make the process of programming easier. Ā I love sports, Ā I enjoy playing computer and I like music and history.
Ā Hello, my name is Shannon Lewis and I am in my last year of being a Ā Biomedical Informatics Major. When i graduate from City Tech , I just want a job that will put my degree to good use and get closer on the path of starting my career, a career that is more along the lines of Health Administration or anything along the lines of health care. Also, eventually I may Ā also want to enroll into Graduate School but I am not sure yet. Even though I registered pretty late and this was one of the only classes that fit into my schedule, I would like to know more about this subject since I have never heard of it before and how I can apply it to real life situations. Besides this, my hobbies are reading and hanging out with friends while having a good time. I also like to travel when I have a chance to do so.
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