1. The Greeks believed matter and energy were opposites. So is Einstein right in saying opposites are equivalent. 2. Can you add opposites? 3. You can add odd numbers and even numbers. Could they represent opposite theories like Plank and Maxwell? Can even and odd numbers be used as algebra in equations.
Hello Brainmass Staff: I should would appreciate your help with this basic math problem. Here it is .... In a "WEIRD" Mathematical system, the following is true: 11+1=1 11+2=2 5+2=2 3+5=8 5+10=4 12+9=10 9+8=6 18+28=2 27+13=7 10+9=8 11+11=11 33+7=7 22+16=5 15+12=5 15+7=11 23+10=11 22+1=1 35+12=3 These ar ...continues
What is a Pythagorean Triple and what is the Pythagorean Triples Theorem?
What are Pythagorean triple? What are primitive Pythagorean triples? What is the Pythagorean triples theorem?
Prove the associative law for matrix multiplication: (AB)C = A(BC)
Need to know how to solve - Algebraic Number Theory
Need to know how to solve: 1. (i) Find the gcd (210, 48) using factorizations into primes (ii)Find (1234, 5678) 2. Prove that there are no integers x, y, and z such that x^2 + y^2 + z^2 = 999
A simple pendulum and its period in different planets
When the mass is moved a small distance away from its equilibrium point (the bottom of the arc), the mass will swing back and forth in a constant amount of time called the period. One period is the amount of time required for the mass to swing all the way to the other side and then swing back to its staring point. we are maki ...continues
Problem 1: Prove that there are no integers x, y, and z such that x^2 +y^2 + z^2 = 999 Problem 2: Show that square root of 2 cubed is an irrational number. Problem 3: For each of the following pairs a and b, use the division algorithm to find quotient q and remainder r. (a) b=189, a=17 ...continues
Prove that : 1*2+2*3+3*4+....+n(n+1)(n+2)/3 for
Need detailed instruction on how to work Use mathematical induction to prove that : 1*2+2*3+3*4+....+n(n+1)(n+2)/3 for all n >_1 and (2) Find d=gcd (721 , 448), find integers s and t with d=721s + 448t, and put the fraction 448/721 in lowest terms.
(1) What is the remainder after dividing 10^2006 by 7? and (2) Use factorizations into primes to find gcd (105, 30) and lcm (105, 30)?
I understand that I have to find a homomorphism but do not know the function. I also need help with writing the proof in general. See attached file for full problem description.