“von Neumann定理”,也称为“von Neumann completeness theorem”,是著名的数学定理,它在计算模型、计算机科学和量子力学等领域中有着广泛的应用。 1. von Neumann定理背景 von Neumann定理是由匈牙利学者约翰·冯·诺伊曼(John von Neumann)在20世纪30年代提出的。在此之前,人们通常认为,可以通过计算机程序将任何数学...
弗雷歇-冯·诺伊曼定理(Frechet-von Neumann Theorem)是泛函分析中的一个重要定理,它建立了任意Banach空间中的每个有界线性算子都可以表示为两个有界线性算子的乘积。这个定理在算子代数和量子力学等领域有着广泛的应用。 具体来说,对于任意两个Banach空间X和Y,如果T是X到Y的有界线性算子,那么存在两个有界线性算子A和...
We assume that the dimension of V is ≥4 9-semiproducts f on V where 9 is an involutory anti-automorphism on D. (Birkhoff-von Neumann Theorem 5)…Measures and Hilbert Latticesdoi:10.1142/9789814503105_0009G. KalmbachUniversität Ulm, Germany...
von Neumann代数领域4个公开问题 近日, 河北师范大学数学科学学院房军生团队以“On Finite Sums of Projections and Dixmier′s Averaging Theorem for Type Ⅱ1Factors”和“A Stronger Version of Dixmier′s Averaging Theorem and Some Applications...
It’s a theorem of Godel that the next logical step, the description of an object is one class type higher than the object and it’s absolutely necessary; it’s just a matter of complication when you get to this point. … They may easily be in this condition already, where doing a ...
George Pólya: The only student of mine I was ever intimidated by. He was so quick.There was a seminar for advanced students in Zürich that I was teaching and von Neumann was in the class. I came to a certain theorem, and I said it is not proved and it may be difficult. Von Neum...
The Stone–von Neumann theorem is a uniqueness theorem for operators satisfying the canonical commutation relations. Suppose A and B are two self-adjoint operators on H satisfying $$[A,B] = i
In 1936, Von Neumann attempted to demonstrate that statistical laws could not be reduced to an underlying determinism by the introduction of "hidden variables." His theorem was not convincing to many outside science, especially philosophers of science who have continued to pursue "hidden variable"in...
1) von Neumann theorem vonNeumann定理 2) Von Neumann law VonNeumann定律 3) von Neumann entropy vonNeumann熵 4) Von Neumann condition VonNeumann条件 1. It is concluded that the difference schema satisfying theVon Neumann conditionis a stable schema,and that,under the consistency condition,such sta...
Unexpected reemergence of the von Neumann theorem It is shown here that the "simple test of quantumness for a single system" of Alicki and Van Ryn has exactly the same relation to the discussion of the pro... M Zukowski - 《Physical Review A Atomic Molecular & Optical Physics》 被引量...