INFINITE GALOIS THEORY Frederick Michael Butler A THESIS in
... factors over K. The following theorem provides several useful equivalent definitions of a normal extension. Theorem 2.1. Let K/F be an algebraic field extension, and let F̄ denote the algebraic closure of F (so K ⊆ F̄ ). Then the following are equivalent: (1) K/F is a normal extension; (2) K is the ...
... factors over K. The following theorem provides several useful equivalent definitions of a normal extension. Theorem 2.1. Let K/F be an algebraic field extension, and let F̄ denote the algebraic closure of F (so K ⊆ F̄ ). Then the following are equivalent: (1) K/F is a normal extension; (2) K is the ...
Dynamic Channel Selection in Cognitive Radio WiFi Networks Jeremy Mack
... as well as the network simulation software, ns-3. The results demonstrate significant ...
... as well as the network simulation software, ns-3. The results demonstrate significant ...
On some polynomial-time primality algorithms
... not a strong pseudoprime. Theorem 1.7 implies that at least 3/4 of all integers in [1, n − 1] are witness for n, when n is an odd composite number. By the algorithm 1.1 we can test if n is spsp(a), so we can write an algorithm who decide if the given number a is a witness for n. The following algori ...
... not a strong pseudoprime. Theorem 1.7 implies that at least 3/4 of all integers in [1, n − 1] are witness for n, when n is an odd composite number. By the algorithm 1.1 we can test if n is spsp(a), so we can write an algorithm who decide if the given number a is a witness for n. The following algori ...
here
... Conjecture 2. A stronger conclusion holds in Proposition 2, namely, that s and t are both transcendental. Let us describe the difficulty in proving Conjecture 2. To study the arithmetic nature of the power of two complex numbers, we can use the Gelfond-Schneider Theorem. However, it only applies in ...
... Conjecture 2. A stronger conclusion holds in Proposition 2, namely, that s and t are both transcendental. Let us describe the difficulty in proving Conjecture 2. To study the arithmetic nature of the power of two complex numbers, we can use the Gelfond-Schneider Theorem. However, it only applies in ...
