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#1676 2013-01-13 00:00:31

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

Re: Is this cool with you?

Hi;

Okay, thanks for coming in and for the links.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#1677 2013-01-28 05:37:05

scientia
Member
Registered: 2009-11-13
Posts: 222

Re: Is this cool with you?

Hi. Consider the following problem:

[align=center]

[/align]

This is my solution:

LHS is

for all x, y.

RHS is

for all y since
.

Hence LHS = RHS if and only if

and

The second equation gives

; substituting into the first equation gives

Hence the solution set is

.

So my question is: Is my proof okay? Is everyone happy with my proof? roll

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#1678 2013-01-28 14:38:29

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

Re: Is this cool with you?

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#1679 2013-02-15 03:03:23

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

Re: Is this cool with you?

New Problem:

Three circles of radius 5,4 and 3 are drawn in that order and in a line touching at one point. E says she wants to draw two tangents. One across the top of the three circles and one along the bottom. She wants the two tangents to intersect a I. How far away is I from the rightmost circle's right side?

A says) Impossible to determine!

B says) You might be right.

C says) A and B agreeing? I am shocked. I is 41 away from the rightmost circle's right side.

D says) I agree with A but not with B. I also like C's answer.

What is your answer?

Last edited by bobbym (2013-02-15 03:29:08)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#1680 2013-02-15 03:13:55

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Is this cool with you?

Hi bobbym


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#1681 2013-02-15 03:28:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

Re: Is this cool with you?

Hi;

Last edited by bobbym (2013-02-15 03:35:33)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#1682 2013-02-17 03:05:21

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Is this cool with you?

Hi bobbym


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#1683 2013-02-17 03:07:11

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

Re: Is this cool with you?

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#1684 2013-02-17 03:09:03

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Is this cool with you?

Hi


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#1685 2013-02-17 03:14:50

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

Re: Is this cool with you?

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#1686 2013-02-17 03:38:15

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Is this cool with you?

Hi bobbym


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#1687 2013-02-17 03:50:40

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

Re: Is this cool with you?

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#1688 2013-02-17 04:45:12

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Is this cool with you?

Hi bobbym


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#1689 2013-02-17 05:08:54

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

Re: Is this cool with you?

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#1690 2013-02-17 05:22:18

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Is this cool with you?

Hi bobbym


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#1691 2013-04-13 09:38:33

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

Re: Is this cool with you?

New problem:

The triangle shown below has sides 20, 22 and n. What is the largest and smallest values that n can take provided that n is a integer?

A says) Incorrect and kaboobly doo, n can only have one value.

B says) That is not correct, n can take...

C says) Hmmm, I have to finally agree with A.

D says) What is finally?

E says) I have the answer.

View Image: 2013-04-13_143804.gif

In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#1692 2013-04-13 10:26:37

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Is this cool with you?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#1693 2013-04-13 11:19:08

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

Re: Is this cool with you?

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#1694 2013-04-13 11:36:42

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Is this cool with you?

Too much so.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#1695 2013-04-13 12:05:56

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

Re: Is this cool with you?

Hmmm, have you joined up over there yet?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#1696 2013-04-13 12:13:06

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Is this cool with you?

Where?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#1697 2013-04-13 12:14:48

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

Re: Is this cool with you?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#1698 2013-04-13 12:15:59

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Is this cool with you?

No. What is it?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#1699 2013-04-13 12:18:53

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,571

Re: Is this cool with you?

A site where they pose questions that are pretty good and you solve them.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#1700 2013-04-13 12:26:31

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Is this cool with you?

Hm, I will try it today.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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