Related papers: Vita: Friedrich Wilhelm Wiener
A recent post by Tim Maudlin to this archive (arXiv:1408.1828) was entitled "Reply to Werner". However, it was not clear to what text this was supposed to be a reply. Here I briefly provide this context, and show that Maudlin's post is as…
a 10-page biography of Raoul Bott followed by a 25-page discussion of his major papers
In this note I have tried to rewrite four famous works of Nash in a more modern language while adhering as much as possible to the original arguments.
The paper surveys the theory of functional identities and its applications. No prior knowledge of the theory is required to follow the paper.
This paper has been withdrawn by the author due to an error in section 7. There is a new version: arXiv:1011.3352.
We describe an inequality of finite or infinite sequences of real numbers and their quotients. More precisely, we compare the quotient of H\"older functionals of two sequences of numbers with the sum of their quotients. In the last section…
In this paper we consider non-linear differential equations which are closely related to the generating functions of Frobenius-Euler polynomials. From our non-linear differential equations, we derive some new identities between the sums of…
Consider a fluid flowing through a junction between two pipes with different sections. Its evolution is described by the 2D or 3D Euler equations, whose analytical theory is far from complete and whose numerical treatment may be rather…
A translation of the Dutch article from 1970 in which the term "bioinformatics" was first introduced by Ben Hesper and Paulien Hogeweg.
Homage is paid to E. Majorana by dedicating our recent work in his memory.
We survey the main ideas in the early history of the subjects on which Riemann worked and that led to some of his most important discoveries. The subjects discussed include the theory of functions of a complex variable, elliptic and Abelian…
In this note, we give an exposition of the construction of Seiberg-Witten invariants.
In this chapter, concepts related to information and computation are reviewed in the context of human computation. A brief introduction to information theory and different types of computation is given. Two examples of human computation…
A multidimensional generalization of the Bernstein class of functions and the properties of functions of the introduced class are examined. In particular, a new proof of the integral representation of Bernstein functions of many variables…
Rejoinder to Overall Objective Priors by James O. Berger, Jose M. Bernardo, Dongchu Sun [arXiv:1504.02689]
The Schr\"odinger cat male and female states are discussed. The Wigner and Q--functions of generalized correlated light are given. Linear transformator of photon statistics is reviewed.
Studying various functionals and associated gradient ows are known problems in differential geometry. The perpose of this article is to provide a general overview of curvature functionals in Finsler geometry and use their information for…
A complete family of functional Steiner formulas is established. As applications, an explicit representation of functional intrinsic volumes using special mixed Monge-Amp\`ere measures and a new version of the Hadwiger theorem on convex…
The story of (Ward-)Takahashi relations and their impact on physical theory is reviewed.
Here we present some comparison results between Birkhoff and McShane multivalued integration.