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The Influence of CYP2B6, GSTP1, and SLCO1B1 Star Allele-Predicted Phenotypes and CBR1 Genetic Variants on Effectiveness Outcomes in Patients With Hepatocellular Carcinoma Receiving Doxorubicin via Transarterial Chemoembolization. [PDF]
Pharmacol Res PerspectShilbayeh SAR +5 more
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The Induction Axiom and the Axiom of Choice
Mathematical Logic Quarterly, 1961Verf. schlägt eine Modifikation des Peanoschen Axiomensystems für die natürlichen Zahlen vor, bei der statt des einwertigen Funktionsbegriffs, wie er bei der Nachfolgefunktion auftritt, der Begriff der mehrwertigen Funktion gebraucht wird, so daß es z. B. zu einer Zahl mehrere Nachfolger gibt. Die Peanoschen Axiome werden entsprechend verändert.
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Compactness and the Axiom of Choice
Applied Categorical Structures, 1996Four versions of compactness (equivalent in ZFC) and their properties are investigated without the axiom of choice. All the four versions are equivalent iff the axiom of choice holds (many equivalent forms concerning mainly products of spaces are given).
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2018
The axiom of choice is a mathematical postulate about sets: for each family of non-empty sets, there exists a function selecting one member from each set in the family. If those sets have no member in common, it postulates that there is a set having exactly one element in common with each set in the family. First formulated in 1904, the axiom of choice
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The axiom of choice is a mathematical postulate about sets: for each family of non-empty sets, there exists a function selecting one member from each set in the family. If those sets have no member in common, it postulates that there is a set having exactly one element in common with each set in the family. First formulated in 1904, the axiom of choice
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The Axiom of Choice in Quantum Theory
Mathematical Logic Quarterly, 1996AbstractWe construct peculiar Hilbert spaces from counterexamples to the axiom of choice. We identify the intrinsically effective Hamiltonians with those observables of quantum theory which may coexist with such spaces. Here a self adjoint operator is intrinsically effective if and only if the Schrödinger equation of its generated semigroup is soluble ...
Brunner, Norbert +2 more
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2013
The ZF axioms allow us to assert the existence of any set whose members are selected according to some definable “rule”—this is essentially what the replacement schema says. However, we often want to assert the existence of a set without knowing a rule for selecting its members.
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The ZF axioms allow us to assert the existence of any set whose members are selected according to some definable “rule”—this is essentially what the replacement schema says. However, we often want to assert the existence of a set without knowing a rule for selecting its members.
openaire +1 more source