Home | Community | Message Board

World Seed Supply
This site includes paid links. Please support our sponsors.


Welcome to the Shroomery Message Board! You are experiencing a small sample of what the site has to offer. Please login or register to post messages and view our exclusive members-only content. You'll gain access to additional forums, file attachments, board customizations, encrypted private messages, and much more!

PhytoExtractum Shop: Maeng Da Thai Kratom Leaf Powder

Jump to first unread post Pages: < Back | 1 | 2 | 3 | Next >  [ show all ]
OfflineShroomerited
Male User Gallery

Registered: 06/12/10
Posts: 1,974
Last seen: 7 years, 10 months
Re: How to learn advanced math? [Re: Celestial Traveler]
    #19163133 - 11/20/13 12:49 AM (10 years, 3 months ago)

Quote:

Celestial Traveler said:
Or maybe

a*b = (2c)*b = 2cb --> 2cb/2 = c*b (integer product is integer) therefore (a*b) is even.



You don't even need that last part. When we say that a number is even, we mean that it equals 2 times some integer.

But yes, that's it.


Extras: Filter Print Post Top
OfflineJMcDoogle
A Serious Scholar


Registered: 07/07/09
Posts: 1,495
Loc: Nunavut
Last seen: 3 years, 10 months
Re: How to learn advanced math? [Re: Celestial Traveler]
    #19163139 - 11/20/13 12:50 AM (10 years, 3 months ago)



--------------------
The ego is nothing other than the focus of conscious attention.


Extras: Filter Print Post Top
OfflineShroomerited
Male User Gallery

Registered: 06/12/10
Posts: 1,974
Last seen: 7 years, 10 months
Re: How to learn advanced math? [Re: JMcDoogle]
    #19163144 - 11/20/13 12:52 AM (10 years, 3 months ago)

Now prove n even implies n^2 even.
After that, prove n^2 odd implies n is odd.


Extras: Filter Print Post Top
InvisibleCelestial Traveler
Random Observer
Male User Gallery


Registered: 03/03/11
Posts: 7,639
Loc: Idaho
Re: How to learn advanced math? [Re: Shroomerited]
    #19163162 - 11/20/13 12:57 AM (10 years, 3 months ago)

n = 2k  (n,k) E N  [i.e. n and k are natural numbers].

n^2 = 4k^2 = 2*(2*k*k) ---> 2*k*k E N because (2,k,k) E N (i.e. natural numbers)



n = 2k - 1 , n,k positive integers

n^2 = 4k^2 - 4k + 1 = (4k^2 - 4k + 2) - 1

= 2*(2k^2 - 2k + 1) - 1

[2k^2 - 2k + 1 is an integer because product of integers, and addition or subtraction of integers is an integer)

n^2 is odd.


--------------------
Funny Video              Pokemon But With Animals Instead              B


Extras: Filter Print Post Top
OfflineShroomerited
Male User Gallery

Registered: 06/12/10
Posts: 1,974
Last seen: 7 years, 10 months
Re: How to learn advanced math? [Re: Celestial Traveler]
    #19163171 - 11/20/13 01:00 AM (10 years, 3 months ago)

Quote:

Celestial Traveler said:
n = 2k  (n,k) E N  [i.e. n and k are natural numbers].

n^2 = 4k^2 = 2*(2*k*k) ---> 2*k*k E N because (2,k,k) E N (i.e. natural numbers)



n = 2k - 1 , n,k positive integers

n^2 = 4k^2 - 4k + 1 = (4k^2 - 4k + 2) - 1

= 2*(2k^2 - 2k + 1) - 1

[2k^2 - 2k + 1 is an integer because product of integers, and addition or subtraction of integers is an integer)

n^2 is odd.



First one is good.

But for the second one, you proved that n odd implies n^2 odd. I asked you to prove that n^2 odd implies n is odd.


Extras: Filter Print Post Top
InvisibleCelestial Traveler
Random Observer
Male User Gallery


Registered: 03/03/11
Posts: 7,639
Loc: Idaho
Re: How to learn advanced math? [Re: Shroomerited]
    #19163173 - 11/20/13 01:01 AM (10 years, 3 months ago)

Ah I see...ok...

Workin on it again then...although technically by proving n^2 must be even if n is even, I have already proved that n^2 is odd implies n is odd.


--------------------
Funny Video              Pokemon But With Animals Instead              B


Extras: Filter Print Post Top
OfflineShroomerited
Male User Gallery

Registered: 06/12/10
Posts: 1,974
Last seen: 7 years, 10 months
Re: How to learn advanced math? [Re: Celestial Traveler]
    #19163179 - 11/20/13 01:03 AM (10 years, 3 months ago)

I'm being a bit of a smartass here though.

Quote:

Celestial Traveler said:
n = 2k  (n,k) E N  [i.e. n and k are natural numbers].

n^2 = 4k^2 = 2*(2*k*k) ---> 2*k*k E N because (2,k,k) E N (i.e. natural numbers)




Therefore n even implies n^2 even. Also equivalently n^2 odd implies n odd.


Extras: Filter Print Post Top
OfflineShroomerited
Male User Gallery

Registered: 06/12/10
Posts: 1,974
Last seen: 7 years, 10 months
Re: How to learn advanced math? [Re: Celestial Traveler]
    #19163181 - 11/20/13 01:03 AM (10 years, 3 months ago)

Quote:

Celestial Traveler said:
Ah I see...ok...

Workin on it again then...although technically by proving n^2 must be even if n is even, I have already proved that n^2 is odd implies n is odd.



Yup! That was my point.


Extras: Filter Print Post Top
InvisibleCelestial Traveler
Random Observer
Male User Gallery


Registered: 03/03/11
Posts: 7,639
Loc: Idaho
Re: How to learn advanced math? [Re: Celestial Traveler]
    #19163184 - 11/20/13 01:04 AM (10 years, 3 months ago)

Working backwards then...

n^2 = 2t - 1  (n and t are integers), n^2 is odd.

Let t = 2k^2 - 2k + 1 , with k an integer.

then

n^2 = 4k^2 - 4k + 1

n = 2k - 1

n is odd.


--------------------
Funny Video              Pokemon But With Animals Instead              B


Extras: Filter Print Post Top
InvisibleCelestial Traveler
Random Observer
Male User Gallery


Registered: 03/03/11
Posts: 7,639
Loc: Idaho
Re: How to learn advanced math? [Re: Celestial Traveler]
    #19163193 - 11/20/13 01:05 AM (10 years, 3 months ago)

:tongue:


--------------------
Funny Video              Pokemon But With Animals Instead              B


Extras: Filter Print Post Top
OfflineShroomerited
Male User Gallery

Registered: 06/12/10
Posts: 1,974
Last seen: 7 years, 10 months
Re: How to learn advanced math? [Re: Celestial Traveler]
    #19163197 - 11/20/13 01:05 AM (10 years, 3 months ago)

Quote:

Celestial Traveler said:
Working backwards then...

n^2 = 2t - 1  (n and t are integers), n^2 is odd.

Let t = 2k^2 - 2k + 1 , with k an integer.

then

n^2 = 4k^2 - 4k + 1

n = 2k - 1

n is odd.



Approaching it that way, you need to prove that t is of the form _____.

But the main idea was just that you already proved it!


Extras: Filter Print Post Top
Invisiblelessismore
Registered: 02/10/13
Posts: 6,268
Re: How to learn advanced math? [Re: skatealex2]
    #19163203 - 11/20/13 01:09 AM (10 years, 3 months ago)

Quote:

skatealex2 said:
Anyone have any ideas how to learn advanced math?

Also if you can do advanced math did it come easy to you, did you learn in high school or later in college, etc.?


I'm thinking of trying math and see if I'm capable of going advancd with it. In the past I've sucked at math but I still feel like it could ultimately be a matter of studying and learning it even though some of it looks complicated as #%^*.  I also realize some prestigious careers involve math and calculus so there's that too.





The same way you learn anything else

through hard work for years, or decades

if you want to learn advanced maths, good luck if you never had luck with it before :wink:

not impossible, but you will have to work for (at least) 10 years before you get good at it likely/get a degree that is long enough for a job in the field

do what you love instead

and if that is math, keep on working on it... anything is possible if you dedicate enough time


Extras: Filter Print Post Top
InvisibleCelestial Traveler
Random Observer
Male User Gallery


Registered: 03/03/11
Posts: 7,639
Loc: Idaho
Re: How to learn advanced math? [Re: Shroomerited]
    #19163204 - 11/20/13 01:09 AM (10 years, 3 months ago)

Do I win a million dollars?

Btw have you heard about the Beal Conjecture, and the millionaire (or billionaire) who has offered a large sum as a reward to whomever can prove it?


--------------------
Funny Video              Pokemon But With Animals Instead              B


Extras: Filter Print Post Top
InvisibleCelestial Traveler
Random Observer
Male User Gallery


Registered: 03/03/11
Posts: 7,639
Loc: Idaho
Re: How to learn advanced math? [Re: Celestial Traveler]
    #19163206 - 11/20/13 01:09 AM (10 years, 3 months ago)

I think it'd be really cool, but I've looked at it and I just have no clue how I would tackle it.


--------------------
Funny Video              Pokemon But With Animals Instead              B


Extras: Filter Print Post Top
InvisibleAcidic_SlothM
Acidic poly-Sided Di-slothamide
 User Gallery

Registered: 05/29/02
Posts: 43,732
Loc: ainrofilac Flag
Re: How to learn advanced math? [Re: skatealex2]
    #19163208 - 11/20/13 01:10 AM (10 years, 3 months ago)

practice. khan academy is a good place to start. start with the lower level math to reinforce the really important foundational concepts which crop up all the time in advanced math. a good foundation goes a long fucking way. get comfortable with fractions.

anyone can be good at math with enough practice. i can't say that enough in my tutoring sessions.


--------------------
-- Accept my heart warming gift of TREE SCRATCHIES!!! I absolve thee!! --

JaP: 30,000 lines of gay, cock, and fag can't be wrong
Ped: only in #shroomery is "smuggle opium in her ass" followed by "i don't want shitty opium" which is followed by " *** Joins: PENISSQUAD"
--
JaP: What would this place be without random sluts?
JaP: Nothing, I tell you.


:heart: :todcasil: :heart:


Extras: Filter Print Post Top
OfflineShroomerited
Male User Gallery

Registered: 06/12/10
Posts: 1,974
Last seen: 7 years, 10 months
Re: How to learn advanced math? [Re: Celestial Traveler]
    #19163230 - 11/20/13 01:18 AM (10 years, 3 months ago)

Quote:

Celestial Traveler said:
Do I win a million dollars?

Btw have you heard about the Beal Conjecture, and the millionaire (or billionaire) who has offered a large sum as a reward to whomever can prove it?



Mhmm. It would be interesting to see if it's true or not.


Extras: Filter Print Post Top
InvisibleCelestial Traveler
Random Observer
Male User Gallery


Registered: 03/03/11
Posts: 7,639
Loc: Idaho
Re: How to learn advanced math? [Re: Shroomerited]
    #19163235 - 11/20/13 01:19 AM (10 years, 3 months ago)

It is true (both the conjecture and the fact that there is a prize offered for solving it) but it is just very hard to prove.


--------------------
Funny Video              Pokemon But With Animals Instead              B


Extras: Filter Print Post Top
InvisibleCelestial Traveler
Random Observer
Male User Gallery


Registered: 03/03/11
Posts: 7,639
Loc: Idaho
Re: How to learn advanced math? [Re: Celestial Traveler]
    #19163242 - 11/20/13 01:21 AM (10 years, 3 months ago)



--------------------
Funny Video              Pokemon But With Animals Instead              B


Extras: Filter Print Post Top
OfflineShroomerited
Male User Gallery

Registered: 06/12/10
Posts: 1,974
Last seen: 7 years, 10 months
Re: How to learn advanced math? [Re: Celestial Traveler]
    #19163253 - 11/20/13 01:25 AM (10 years, 3 months ago)

If you're up for a challenge, prove the Archimedean Property of the natural numbers. That is, prove the set of natural numbers has no upper bound. Proof is straight forward, but needs to be done.

Hint: every set of real numbers that has an upper bound, has a least upper bound. ie the lub of (0,1) is 1. Or the lub of the set {0,2,34} is 34. An upper bound is any number greater than the set. Like 2 or 4 or 35344 are upper bounds for (0,1) but 1 is the least.


Extras: Filter Print Post Top
Offlinestimpson
a superhero buddha
Male User Gallery


Registered: 02/08/05
Posts: 1,336
Loc: ny
Last seen: 9 days, 23 hours
Re: How to learn advanced math? [Re: Celestial Traveler]
    #19163254 - 11/20/13 01:25 AM (10 years, 3 months ago)

just watch sum PE exam prep videos on youtube and do cocaine.

i thought all MIT math whizzes luved cocaine.


--------------------
uuuuuuuuuuuuuuuuuuuuuuhhhhhhhhhhhmmmm... ... ...


ok.


Extras: Filter Print Post Top
Jump to top Pages: < Back | 1 | 2 | 3 | Next >  [ show all ]

PhytoExtractum Shop: Maeng Da Thai Kratom Leaf Powder


Similar ThreadsPosterViewsRepliesLast post
* Very basic math help (woohoo, i passed my placement test.)
( 1 2 all )
PDU 1,920 29 12/04/08 07:28 PM
by PDU
* Math Education: An Inconvenient Truth
( 1 2 all )
FrenchSocialist 3,113 22 02/24/10 01:43 PM
by laserpig
* Yes, I'm shedding tears over MATH
( 1 2 all )
MOTH 3,918 33 02/24/10 01:00 PM
by today mylove
* I need a math genius
( 1 2 3 all )
future 2,791 43 01/29/08 08:11 PM
by Karmatron
* Learning Math sirbojangles 1,220 13 03/02/07 07:12 PM
by SymmetryGroup8
* Math help please. beejay 919 9 01/06/05 01:31 PM
by Digs
* Geometry
( 1 2 all )
Mojo_Risin 2,373 22 06/30/09 01:34 PM
by Coaster
* do you think theres a cutoff point for learning complex math ManianFHS 651 6 07/09/07 01:09 PM
by Penguarky Tunguin

Extra information
You cannot start new topics / You cannot reply to topics
HTML is disabled / BBCode is enabled
Moderator: Entire Staff
5,243 topic views. 2 members, 28 guests and 33 web crawlers are browsing this forum.
[ Show Images Only | Sort by Score | Print Topic ]
Search this thread:

Copyright 1997-2024 Mind Media. Some rights reserved.

Generated in 0.018 seconds spending 0.003 seconds on 14 queries.