/sci/ - Science & Math

>>3958408
Therefore, there is no maximum D

>>3958351
Suppose numbers are finite and are bounded above.
Call this number D.

There is a maximum D.
then <span class="math">D \geq k[/spoiler] for all k.

Choose k to be D+1.

<span class="math">D\geq D+1[/spoiler]
and
<span class="math">D\not{\geq}D+1[/spoiler]

Mathematical induction:
Suppose you have a chain of arguments such that P(1) is true (that the first argument in this chain is true). In this chain if you pick an arbitrary argument at index n, P(n), and it implies P(n+1) then P(k) is true for all <span class="math"> k\in \mathbb{Z}_{+}[/spoiler]

Proof:

Suppose an argument in the chain is false, somewhere. (Assume P(k) is true for SOME <span class="math"> k\in \mathbb{Z}_{+}[/spoiler]) We know that because of the well ordering of numbers in the chain of false arguments there is a smallest index W of false arguments. Therefore, because W is the smallest index which is false, P(W-1) must be true (the previous argument to our "smallest" false argument must be true). Also, though, if W is false then the previous argument must also be false. We have a contradiction when we assume P(k) is true for SOME <span class="math"> k\in \mathbb{Z}_{+}[/spoiler].

P(W-1) is both True and False.

Therefore,

If P(1) is true (the first argument), and we accept that logical deductions can be made from previous arguments, <span class="math">P(n)\Rightarrow P(n+1)[/spoiler], then P(k) must be true for ALL <span class="math">k\in \mathbb{Z}_{+}[/spoiler]

testing tripfaggery

>>3936141
>Free speech does not mean you have to start making people frustrated and angry

I never exactly said that I go around and get in people's faces now did I? I simply drew a silly stick figure with chalk on the sidewalk.

If people get offended, fantastic. That is how I became an Atheist. Taking offense to nonsensical, non-derogatory, indiscriminate speech reveals that there is indeed something illogical going on within that person.

Plus, my personal agenda is trying to make the world uniform (under the premise that any notion of "difference" is just a social facade.)

http://www.youtube.com/watch?v=j1N1zhUm84w

What do you think about Islam /sci/? At my university I drew Muhammad on the sidewalk and labeled it "Muhammad". It was for Blasphemy day. I hate people telling me that I need to tip-toe around other peoples beliefs. Freedom of speech requires that nothing is sacred. The thing is, I don't specifically dislike Islam any more than any other religion... but I feel that me disliking Islam is somehow worse than me disliking Christianity. (In the eyes of the public, of course.)

Why does Islam have a shield around it? How did this happen?

pick semi related. This is generally what people look like when they tell me I should respect other people's beliefs.

>>3935386

ehh, kinda. There will never be a class that is worth more than 4.0.

>>3935395
U.S.

>>3935354

Look at this pic. It is from my instructor and it is very useful. The picture describes Spanning sets and Linear Independent sets.

108% on my Linear Algebra mid term. Jelly?

Also, have you learned anything about Vectors?

The class suddenly became easy when I began interpreting everything in terms of vectors and Groups of vectors. I even made a little program using things I learned in class to render a cube on my calculator.

>>3935200

I like that. haha.

>>3935086

fuck bitches get dollars

How do living organisms attain new genetic information?

I'm watching a silly video on YouTube made by some creationists who are saying that genetic information cannot be created.

Pic very very loosely related. If the biblical story were to EVER resemble any truth, I'd want it to resemble this one. All hail our hypothetical Alien Creators.

bamp

bump for comfirmation

>>3934446
you are looking for <span class="math">\nabla[/spoiler]

<span class="math">\vec u =(u,v)[/spoiler]
<span class="math">(x,y)=(uv,sin(v))[/spoiler]
<span class="math">F=xe^y[/spoiler]

<span class="math">F'[/spoiler] with respect to <span class="math">\vec u = ???[/spoiler]

This was a problem on the exam I just took. I am sure there is like a clusterfuck of partial shit that I have to do because of the layering of the variables, but I just did this:

<span class="math">F=xe^y=(uv)e^{sin(v)}[/spoiler]
<span class="math">F'=\left \langle ve^{sin(v)},(uv)e^{sin(v)}cos(v)+ue^{sin(v)} \right \rangle[/spoiler]

pic not related, I just think its hilarious.

>>3932376

Topologically speaking, prove that you can turn a sphere inside out with the mathematical rigor you learned at your top 10 school.

>>3932366

Oh wow! Watch out /sci/ this badass is going to get an equation on his tombstone.

Math classes are so fucking easy. I love being a math major. I feel like I cheated Academia. I get the prestige of a professor by simply mentioning that I am in the higher level courses. In reality, though, the only work required in Mathematics courses are some problems here and there and the very very rare occasion that you might have to memorize something that is too advanced to understand at the present time in class.

>>3932219

The bible as a whole does not have a uniform substance from which Christian peoples can take as a Christian Philosophy. Instead, deluded theologians "cherry pick" as you say the nice passages and base Christianity on these few.

So, then, if the bible doesn't uniformly represent what Christianity believes it is... then whats the point of Christianity? How can something so seemingly Absolute be based on a shallow foundation of cherry picked passages?

>>3932162
"householder must not have a sensual relationship with anybody"

no, I'm fine thank you.

>>3932046

This looks like Buddhism. I like Buddhism. Buddhism is simple and it is generally a nice way to live life.

inb4 shitstorm and #1 fucking thread on /sci/ for 24 hours.

Judeo-Christian Religion is actually a combination of beliefs and religions from ancient western civlizations which reserves monotheism inspired by the Pharaoh Akhenaten and embraced by Semitic people living in egypt at the time.

Key items to search:
Documentary Hypothesis
Akhenaten

The story of Job wasn't even a story about the Christian god anyway. The book was taken from Babylon in the Babylonian Captivity and redacted into the old testament.

Mesopotamians believed that their lives were Random. (they didn't believe in destiny) They believed that they were at the mercy of the gods regardless of how they lead their lives. The book of Job reflects this consistent Mesopotamian belief... also... in the book God uses terminology that mirrors a builder.

Ha-Satan actually means "The Adversary"

>fuel

Are Oil and Gas companies dedicated to what they sell? I don't believe so. At the heart they are Fuel companies. They want us to suckle on their resources our entire lives. Chained to them by our necessity of finite resources. Neigh, I do not support hydrogen cars.

>>3930566

>posts the same thing twice
>criticizes people for pointing out that his habits are shameful
>attempt to justify personal choices masked as trolling
>implying that people regularly post science on this board anyway

why don't you post some science on /sci/?