A formula for an equivalent invariant measure

Invariant measure for an infinite neural network

Translation-invariant Linear Forms and a Formula for the Dirac Measure

Following Schwartz [2 ] we denote by £>, 8 and S the complex vector spaces of all complex-valued infinitely differentiable functions on R where the functions of 2D have compact supports, the functions of 8 have arbitrary supports, and the functions of S (along with all their derivatives) are rapidly decreasing at infinity. We equip each of these spaces with its usual locally convex topology...

A subgroup formula for f-invariant entropy

We study a measure entropy for finitely generated free group actions called f-invariant entropy. The f-invariant entropy was developed by L. Bowen and is essentially a special case of his measure entropy theory for actions of sofic groups. In this paper we relate the f-invariant entropy of a finitely generated free group action to the f-invariant entropy of the restricted action of a subgroup. ...

Is Hesaabdaaree an Adequate Equivalent for Accounting?

Some of the difficulties and misunderstandings that happen in accounting theory, practice, regulation and education are grounded in language and linguistics. As an illustration of this the Persian equivalent of 'accounting' is linguistically analysed to reveal how a mistranslation may cause difficulties in understanding and improving Iranian Accounting. This paper shows how Hesaabdaaree is not ...

Countable Infinitary Theories Admitting an Invariant Measure

Let L be a countable language. We characterize, in terms of definable closure, those countable theories Σ of Lω1,ω(L) for which there exists an S∞-invariant probability measure on the collection of models of Σ with underlying set N. Restricting to Lω,ω(L), this answers an open question of Gaifman from 1964, via a translation between S∞-invariant measures and Gaifman’s symmetric measure-models w...