Measurability of partial derivatives
نویسندگان
چکیده
منابع مشابه
Combinatorics of Partial Derivatives
The natural forms of the Leibniz rule for the kth derivative of a product and of Faà di Bruno’s formula for the kth derivative of a composition involve the differential operator ∂/∂x1 · · · ∂xk rather than dk/dxk, with no assumptions about whether the variables x1, . . . , xk are all distinct, or all identical, or partitioned into several distinguishable classes of indistinguishable variables. ...
متن کاملModels of Cohen measurability
We show that in contrast with the Cohen version of Solovay’s model, it is consistent for the continuum to be Cohen-measurable and for every function to be continuous on a non-meagre set.
متن کاملMeasurability Properties of Spectra
We study Borel measurability of the spectrum in topological algebras. We give some equivalences of the various properties, show that the spectrum in a Banach algebra is continuous on a dense Gs, and prove that in a Polish algebra the set of invertible elements is an FaS and the inverse mapping is a Borel function of the second class. This article has its origin in the papers [7] and [5]. We stu...
متن کاملMeasurability and Computability
The conceptual relation between the measurability of quantum mechanical observables and the computability of numerical functions is re-examined. A new formulation is given for the notion of measurability with finite precision in order to reconcile the conflict alleged by M. A. Nielsen [Phys. Rev. Lett. 79, 2915 (1997)] that the measurability of a certain observable contradicts the Church-Turing...
متن کاملOn the Measurability of Triangles
Let ẽ ≥ φ be arbitrary. A central problem in arithmetic Lie theory is the computation of symmetric arrows. We show that ū ≡ ∞. In contrast, this reduces the results of [33] to an approximation argument. Therefore it is essential to consider that may be smooth.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1977
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1977-0437696-1