Mathematics - 2015-12-19 (page 6 of 6)

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skull petrol

23:01

There are people "of no importance" that are not "worthless."

visualthesaurus.com

user19679

May I ask for a bit of guidance on a math question? (Matrices)

skill patrol

Askaway

Balarka Sen

@Danu Not sure what you mean.

(Sorry, was away)

@KarlKronenfeld lol!

Karl Kronenfeld

23:18

@BalarkaSen Are you suggesting that I should view my remark as funny too? :)

user174558

@Danu It is always best to check a proper, authoritative dictionary.

skill patrol

Have you used visual thesaurus?

Karl Kronenfeld

@JohnNash We appear to have a ghost in the chat room. (And I don't exist at all)

Balarka Sen

@KarlKronenfeld Yes, precisely.

user174558

@KarlKronenfeld You certainly exist, or you won't be able to type what you just did.

Balarka Sen

23:23

"I type therefore I am"

Karl Kronenfeld

@JohnNash Who says I am typing?

The fact that I am able to doubt my existence is sufficient (a la Descartes)

Balarka Sen

Sufficient for what?

user174558

I just posted two answers, please upvote them!

Karl Kronenfeld

@BalarkaSen To deduce my existence. As you referenced, "I think, therefore I am"

skill patrol

Sufficient for the possibility of not existing.

Karl Kronenfeld

23:25

More trivially, that.

Balarka Sen

@KarlKronenfeld But how does one deduce non-existent? Is there a converse?

user19679

this is the question: http://i.imgur.com/kHBuae1.jpg (part ii)

I got the answer k = +/- 6.5.

However, I don't really understand the logic behind the method - I don't understand why I am doing the method that I am doing.

Area of T × Area scale factor = 364 (Area of T')
So, Area scale factor = Determinant (transformation matrix)
Det = (6 × 2) - (-2 × 1) = 14
Area of T = 1/2 (Base × Height)
Area of T = 1/2 (8 × k) = 14k

14 k = 364
k = +/- 6.5

Could you explain what I am actually doing?

I know that I could simply take Det = 14 and divide it by the area of T' then, divide it by 4k (the are…

@skillpatrol ^

Balarka Sen

holy crap, the size of that message.

robjohn

@OFFSHARING I'm sorry to hear that that happened. I hope that it is not as you perceive and simply a coincidence, but there is probably no way to really know.

user19679

@BalarkaSen sorry haha :D

Karl Kronenfeld

23:27

@BalarkaSen (In western thought) You have to accept the law of contradiction, then you have to actually derive a contradiction.

Balarka Sen

Sorry, I am an intuitionist.

There's nothing called the law of contradiction.

skill patrol

Nothing both is and isn't.

Karl Kronenfeld

If you want to have some fun, 'nothing' both is and isn't.

Balarka Sen

This discussion is confuzzling me.

Ok, I understood that statement, after some struggle.

skill patrol

Law of noncontradiction

This article uses forms of logical notation. For a concise description of the symbols used in this notation, see List of logic symbols. In classical logic, the law of non-contradiction (LNC) (or the law of contradiction (PM) or the principle of non-contradiction (PNC), or the principle of contradiction) is the second of the three classic laws of thought. It states that contradictory statements cannot both be true in the same sense at the same time, e.g. the two propositions "A is B" and "A is not B" are mutually exclusive. The principle was stated as a theorem of propositional logic by Russell...

OFFSHARING

23:33

@robjohn Indeed, it's hard. Then I feel an undescribable taste because of that, and I also mentioned that in mathematics I'm not a Christian anymore.

However, I'm glad I always protected my top research, a positive thing in the whole story, but that matters a lot.

user19679

The "dispute" earlier on in here, sounds very subtle compared to that of which, I start xD 'Biosphere', got heated the other day. Flags everywhere :P

Balarka Sen

We produce subtle dramas, indeed.