CENTRAL SEQUENCE ALGEBRAS OF VON NEUMANN
... infinite-dimensional). In this paper, we show that a similar result holds for an irreducible inclusion of type II1 factors. Using the language of ultrapowers, our result states that the relative commutant of any irreducible subfactor of a type II1 factor in the ultrapower of the factor is either tri ...
... infinite-dimensional). In this paper, we show that a similar result holds for an irreducible inclusion of type II1 factors. Using the language of ultrapowers, our result states that the relative commutant of any irreducible subfactor of a type II1 factor in the ultrapower of the factor is either tri ...
Exponential lower bounds for the pigeonhole principle
... corollary, we show that any polynomial-sized Frege proof of the pigeonhole principle must have depth f/(log log n). Our theorem nearly completes the search for the exact complexity of the pigeonhole principle, as Sam Buss (1987) has constructed polynomial-sized, logarithmic depth Frege proofs for th ...
... corollary, we show that any polynomial-sized Frege proof of the pigeonhole principle must have depth f/(log log n). Our theorem nearly completes the search for the exact complexity of the pigeonhole principle, as Sam Buss (1987) has constructed polynomial-sized, logarithmic depth Frege proofs for th ...
Nearrings whose set of N-subgroups is linearly ordered
... (a) The N -subgroups of N are given as Im ψ i with i ≥ 0 and {0}. (b) Im ψ = {k ∈ N | N ∗ k 6= N } = 6 N. (c) E is the set of right identities of (N, +, ∗). (d) (N, +, ∗) has the identity e if and only if E = {e}. Proof. (a) Each Im ψ i for i ≥ 0 is a subgroup of (N, +). Moreover, x ∗ ψ i (n) = ψ i ...
... (a) The N -subgroups of N are given as Im ψ i with i ≥ 0 and {0}. (b) Im ψ = {k ∈ N | N ∗ k 6= N } = 6 N. (c) E is the set of right identities of (N, +, ∗). (d) (N, +, ∗) has the identity e if and only if E = {e}. Proof. (a) Each Im ψ i for i ≥ 0 is a subgroup of (N, +). Moreover, x ∗ ψ i (n) = ψ i ...
connections to higher type Recursion Theory, Proof-Theory
... has to be viewed as the formalization of the abstract notion of function, including higher type and higher order functions; thus, the results of the formal theory often turn out to be relevant in applications or in the general understanding of functional behaviour. By this and by the connections dis ...
... has to be viewed as the formalization of the abstract notion of function, including higher type and higher order functions; thus, the results of the formal theory often turn out to be relevant in applications or in the general understanding of functional behaviour. By this and by the connections dis ...
Test Questions
... CO-HS.PFA.2d.i Analyze* the impact of interest rates on a personal financial plan (PFL) ...
... CO-HS.PFA.2d.i Analyze* the impact of interest rates on a personal financial plan (PFL) ...
