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Equals Times
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 Equals Times
Post: #1
York Upyup

Posts: 310
Joined: Jan 2016
Location: 2003

Unit Objective: To write math questions.

Exercise 8.18.
There is a set of numbered pigs in a pen, with P being the number of the pig. Values for P in this pen are P=1, P=2, and P=4. P=1 is located in the northeast corner of the pen. P=2 is midway between the center of the pen and P=1. P=4 is halfway between the southwest corner of the pen and the center of the pen. Where is P=3? (from wheat)

Exercise 8.19.
Once you reach this question, please call over your examiner and have them hold a gun to your head.
Please solve Fermat's Last Theorem.

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04-12-2017 02:58 AM
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 RE: Equals Times
Post: #2

Posts: 1,973
Joined: Nov 2011
Exercise 9.2

There exists in the isle of bile
A population of cats rather mild
Numbering "m" and each alone,
We start here with each cat at home.

Then each day there arrives another,
A new cat with a bit more bluster,
Making cat-friends with other cats,
But more often among those that are popular:

The chance that our cats become friends
Is the number of cat-friends our old cat has
Over all friendships on the island - plus a bit let's call "a."

Then, when time goes on and cats come in,
When we've got "t" more cats on this isle,
What's the chance that all have at least one friend?

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04-12-2017 03:09 AM
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 RE: Equals Times
Post: #3
post maker

Posts: 2,170
Joined: Jun 2016
Location: UTC-4 [temp]
Exercise 10.3 - Three people own differently sized houses, whose exterior surface areas are A, B, and C Planck lengths squared. Of course, since Planck lengths are indivisible, their houses are obviously a positive integer number of Planck lengths squared. Anyway, these people all paint at constant rates (painting areas takes time proportional to their areas). As it so conveniently happens, they each take precisely 1 day to paint their own houses. Furthermore, when B and C together paint A's house, A and B together paint C's house, and A and C together paint B's house, it takes a grand total of 4 days for the sum of the three paint jobs. What's the smallest combined area of the three houses, in Planck lengths squared? Remember, the houses must have a positive integer area!

Exercise 10.3.1 - Do you think you could do a better job painting than these people?
(This post was last modified: 04-12-2017 06:36 AM by qwerx3.)
04-12-2017 05:51 AM
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 RE: Equals Times
Post: #4
midipunk clipartcore

Posts: 2,855
Joined: Jan 2016
Location: Once a frontline combatant in the Omnic Crisis, this curious Bastion unit now explores the world, fascinated by nature but wary of a fearful humanity.
Exercise 10.4 Suppose, supppose, if you pppplease, that pppppiles of ppppppeas fall on Pppppppeater's pppppppplate. (Let's idealize his ppppppppplate to an infinite pppppppppplanar grid). All the pppppppppppeas ppppppppppppile onto one central square. As soon as there are enough pppppppppppppeas in one square to toppppppppppppple to each lower adjacent square while still remaining equal or greater in value, the ppppppppppppppeas will do so.

0 0 0
0 5 0
0 0 0
0 1 0
1 1 1
0 1 0

0 2 0
2 7 0
0 0 0
0 3 0
3 3 1
0 1 1

a. If each pppppppppppppppea is a cm cube, how many ppppppppppppppppeas will there be when the center pppppppppppppppppile is 1 km tall?

b. If Ppppppppppppppppppeter ppppppppppppppppppplaces one ppppppppppppppppppppea every second, I typppppppppppppppppppppe one word pppppppppppppppppppppper second, and the pppppppppppppppppppppppropppppppppppppppppppppppportion of words with ppppppppppppppppppppppppp in them is apppppppppppppppppppppppppproximately the same as in this ppppppppppppppppppppppppppproblem, how many total pppppppppppppppppppppppppppps will I have typpppppppppppppppppppppppppppped during the pppppppppppppppppppppppppppppperiod Pppppppppppppppppppppppppppppppeter sppppppppppppppppppppppppppppppppends ppppppppppppppppppppppppppppppppplacing his 1 km
ppppppppppppppppppppppppppppppppppile of
(This post was last modified: 04-12-2017 03:48 PM by a52.)
04-12-2017 06:15 AM
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 RE: Equals Times
Post: #5
Patron Saint of Normcore

Posts: 6,587
Joined: Jul 2011
Location: Nippon
Exercise 26.1

Explain this.

Exercise 26.2

Can mathematics be considered a morally good subject when all numbers said to be natural are without exception either odious or evil?

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04-12-2017 07:49 AM
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