EXHAUSTIBLE SETS IN HIGHER-TYPE
... We say that the set K is exhaustible if the above problem can be algorithmically solved for any continuous p defined on K, uniformly in p. The uniform dependency on p is formulated by giving the algorithm the type (D → B) → B, where D is a domain, K ⊆ D, and B is the domain of booleans. The main que ...
... We say that the set K is exhaustible if the above problem can be algorithmically solved for any continuous p defined on K, uniformly in p. The uniform dependency on p is formulated by giving the algorithm the type (D → B) → B, where D is a domain, K ⊆ D, and B is the domain of booleans. The main que ...
EXHAUSTIBLE SETS IN HIGHER
... We say that the set K is exhaustible if the above problem can be algorithmically solved for any continuous p defined on K, uniformly in p. The uniform dependency on p is formulated by giving the algorithm the type (D → B) → B, where D is a domain, K ⊆ D, and B is the domain of booleans. The main que ...
... We say that the set K is exhaustible if the above problem can be algorithmically solved for any continuous p defined on K, uniformly in p. The uniform dependency on p is formulated by giving the algorithm the type (D → B) → B, where D is a domain, K ⊆ D, and B is the domain of booleans. The main que ...
Distribution of the zeros of the Riemann Zeta function
... critical line <(s) = 1/2. Even if this famous problem is unsolved for so long, a lot of things are known about the zeros of ζ(s) and we expose here the most classical related results : all the non trivial zeros lie in the critical strip, the number of such zeros with ordinate less than T is proporti ...
... critical line <(s) = 1/2. Even if this famous problem is unsolved for so long, a lot of things are known about the zeros of ζ(s) and we expose here the most classical related results : all the non trivial zeros lie in the critical strip, the number of such zeros with ordinate less than T is proporti ...
cl-ch9
... denotations, but an interpretation must still specify a domain, and that specification makes a difference as to truth for closed formulas involving =. For instance, ∃x∃y ∼ x = y will be true if the domain has at least two distinct elements, but false if it has only one.) Closed formulas, which are a ...
... denotations, but an interpretation must still specify a domain, and that specification makes a difference as to truth for closed formulas involving =. For instance, ∃x∃y ∼ x = y will be true if the domain has at least two distinct elements, but false if it has only one.) Closed formulas, which are a ...
Some sufficient conditions of a given series with rational terms
... on. In Diophantine approximation theory, we are in totally different situation that we already have necessary and sufficient condition to determine if a given real number is an irrational number or a transcendental number such as well known Roth theorem but seems to be lack of practical test just as ...
... on. In Diophantine approximation theory, we are in totally different situation that we already have necessary and sufficient condition to determine if a given real number is an irrational number or a transcendental number such as well known Roth theorem but seems to be lack of practical test just as ...
slides (PowerPoint)
... intrinsically incomplete due to the fact that they are only defined for s > 1. In fact, both the series and product blow up for s 1 . This is a problem, because a central property of the zeta function is its set of roots or “zeros”, ie. values of s where the function value is zero. However, a glan ...
... intrinsically incomplete due to the fact that they are only defined for s > 1. In fact, both the series and product blow up for s 1 . This is a problem, because a central property of the zeta function is its set of roots or “zeros”, ie. values of s where the function value is zero. However, a glan ...
