Homework Statement
Given a permutation of the set {1,...,n} for a natural n, and two possible operations on this set:
Type-1(k): Shift the first element in the array to the back of it, do it k times.
[3,2,1,4] -> T1(1) -> [2,1,4,3]
Type-2(k): Shift the third element in the array to the front...
Sorry if I stated something wrong. The sentence "If either (a^2 + b^2 + c^2) or (a^3 + b^3 + c^3) is divisible by p, then the product of them will too be divisible by p." is true. Actually the thing I was using is the reverse, which is true as a, b and c are integers.
"If the product of (a^2...
Homework Statement
Let's take a prime number p not equal to 5.
Now let's take three integers a,b,c.
Prove that if p | (a + b + c) \wedge p | (a^5 + b^5 + c^5), then
p | (a^2 + b^2 + c^2) \vee p | (a^3 + b^3 + c^3)
Homework Equations
I think:
(a + b + c)^2 = a^2 + b^2 + c^2 +...
Update:
I've found the solution for the simpler version of the first problem.
H = N * I/L where N is number of windings (dimensionless), I the current (amps), L the length of the coil's wire (meters).
H times permability of the magnet is the induction.
If I've mistaken somewhere...
Hi! This is my first post on this forum, and I have two questions.
First of all I'd like to mentoin that my math knowledge is at high school level + some basic calculus. Ah, and I haven't learned about (partial) differential equations yet.
My physics skills go only as far as electromagnetism...