Math Community Quiz

[Builderboy]

heh well we will wait for a day or two and let everybody work on yours then

[i am a troll]

if i'm traveling at a rate of 40 mph, my destination is 120 miles away and i've been traveling for two hours, how long until i reach my destination. just kidding you probably did that in your head as you read it. the real question is on the way, i'm currently solving it..


edit: the problem.

constituents:
2x2 matrix N
2x2 matrix P filled with ascending perfect numbers. i.e. if 1 2 3 and 4 were perfect numbers, P is [[1 2][3 4]]
2x2 matrix K whose values ascend just like P's, and is filled with only prime numbers, and the values when summed add up to 185.

Assuming P * K = N, what is the determinant of N? also, i want to see matrix P and K to check to make sure you solved the problem correctly. answers without P or K will be disregarded.

edit2: shoot i forgot! the determinant of K must be -2735...

K=[[2 43][67 73]] but P is not determined so how are we supposed to know what the determinant of N is?

[Ashbad]

Let's say we have a piece of 64 byte data in L1 (pretend also that it's in axe format)

with data supposed to be set up in a 4x4x4 3D array, The first 16 bytes of the 64 are [1,2,3,4,6,7,8,9,11,12,13,14,16,17,18], the next 16 bytes are [19,21,22,23,25,26,27,29,30,31,33,34,35,37,38], and the last 24 bytes are [52,53,55,56,58,59,61,62,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,93].

Find a function (can utilize equality operators such as = and >) that shows the pattern of these 64 numbers.

EDIT: and good luck.

[Xeda112358]

Erm, did the rules change...?

[Ashbad]

oh, sorry

but then again, now there's two challenges at once, in case you're stuck on one.

[Xeda112358]

Err... three actually, now

[Ashbad]

oh, lol

[i am a troll]

Is this a new problem? But no one has solved nemo's or Builderboy's problem yet and I'm really confused about nemo's.
well if it is  a new problem then i'm also sort of confused thay are'nt even 64 numbers ther(16+16+24=56)

[Xeda112358]

For the first one, if you have a Y table of {1,2,3,4,6,7,8,9,11,12,13,14,16,17,18} that correspond to x values {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14} and Axe automatically rounds down for decimals, then:
(X+1)+X/4

I'm gonna work on the others, now.

Edit 1: If the second set uses a similar pattern, the equation is x+(x-1)/3+19
Edit 2: The third set is (x+52)+x/2. Now I need to find an equation for all this

[nemo]

if i'm traveling at a rate of 40 mph, my destination is 120 miles away and i've been traveling for two hours, how long until i reach my destination. just kidding you probably did that in your head as you read it. the real question is on the way, i'm currently solving it..


edit: the problem.

constituents:
2x2 matrix N
2x2 matrix P filled with ascending perfect numbers. i.e. if 1 2 3 and 4 were perfect numbers, P is [[1 2][3 4]]
2x2 matrix K whose values ascend just like P's, and is filled with only prime numbers, and the values when summed add up to 185.

Assuming P * K = N, what is the determinant of N? also, i want to see matrix P and K to check to make sure you solved the problem correctly. answers without P or K will be disregarded.

edit2: shoot i forgot! the determinant of K must be -2735...

K=[[2 43][67 73]] but P is not determined so how are we supposed to know what the determinant of N is?

P is defined as 4 perfect numbers in ascending order. a perfect number is a number whose factors sum up to the number itself. 6 is a perfect number. its factors are 1 2 and 3 which, when summed, equals the number itself: 6.

ashbad, i'm confused about your question. storing data linearly then thinking about it as a 4x4x4 3D array for a math problem wasn't to my advantage so i discarded that portion. and you only listed 54 pieces of data so i really don't know where you got the number 64 other than 4 * 4 * 4 is 64. anyway. here's the function though i don't really deserve it. i just plugged in Xeda's equations and hope they work.

f(X)=((X+1)+X/4)*(X<15)+(X+(X-1)/3+19)*(X>14)*(X<30)+((X+52)+X/2)*(X>29))

[i am a troll]

Ya i know but there are more than 4 perfect numbers so we have no idea what P is.   the first 4 are 6 28 496 and something more than 8000. but they are more  more so we do not know yhich one are in the matrix.
Also Ashbad there are ifinitley many functions that satisfy it.    are we supposed to find all or just one?

[Ashbad]

Is this a new problem? But no one has solved nemo's or Builderboy's problem yet and I'm really confused about nemo's.
well if it is  a new problem then i'm also sort of confused thay are'nt even 64 numbers ther(16+16+24=56)

well, there is, I just didn't specify what 8 of the bytes were

and sorry xeda, incorrect.

[Xeda112358]

[1,2,3,4,6,7,8,9,11,12,13,14,16,17,18] is 15 bytes.

[Ashbad]

oops O.o  ok just imaging a 19 there

[nemo]

f(X)=((X+1)+X/4)*(X<15)+(X+(X-1)/3+19)*(X>14)*(X<30)+((X+52)+X/2)*(X>29))

so is this a no-go or what?