Results 281 to 290 of about 11,051,876 (314)

Semismooth Matrix-Valued Functions

Mathematics of Operations Research, 2002
Matrix-valued functions play an important role in the development of algorithms for semidefinite programming problems. This paper studies generalized differential properties of such functions related to nonsmooth-smoothing Newton methods. The first part of this paper discusses basic properties such as the generalized derivative, Rademacher's theorem ...
Defeng Sun, Jie Sun 0001
openaire   +1 more source

Measurable Multiattribute Value Functions

Operations Research, 1979
This paper presents a theory of measurable multiattribute value functions. Measurable value functions are based on the concept of a “preference difference” between alternatives and provide an interval scale of measurement for preferences under certainty.
James S. Dyer, Rakesh K. Sarin
openaire   +1 more source

The Cluster Function of Single-Valued Functions

Set-Valued Analysis, 2006
Let \(X\) and \(Y\) be topological spaces and let \(F : X \to 2^{Y}\) be a multifunction. Then the cluster set and the reduced cluster set of \(F\) at a point \(x \in X\) are \[ C(F; x) = \bigcap_{U \in {\mathcal U}(x)} \text{cl}_{Y}(F(U)) \quad \text{and}\quad C^{r}(F; x) = \bigcap_{U \in {\mathcal U}(x)} \text{cl}_{Y}(F(U \setminus \{x\})), \] where \
openaire   +2 more sources

Approximation of Matrix-Valued Functions

SIAM Journal on Matrix Analysis and Applications, 1993
Summary: It is shown that if \(f(z)=\sum^ \infty_{i=0} a_ i z^ i\) (the series having radius of convergence \(R\)) then for any \(n\times n\) matrix \(A\) with spectral radius less than \(R\) and any norm \(\|\cdot\|\) on the space of \(n\times n\) matrices \[ \left\| f(A)-\sum^ k_{i=0} a_ i A^ i\right\|\leq {1\over (k+1)!} \max_{s\in [0,1]}\| A^{k+1 ...
openaire   +1 more source

The value of liver function tests

The American Journal of Surgery, 1959
Abstract In this survey we have studied the results of several liver function tests, particularly the thymol, cephalin, prothrombin, Bromsulphalein, albumin/globulin ratio and alkaline phosphatase tests. Most of the diseases studied were surgical, but some important non-surgical diseases such as viral hepatitis and cirrhosis have been included.
openaire   +2 more sources

On η-valued functionally complete truth functions

Journal of Symbolic Logic, 1967
It is well known that the familiar Sheffer stroke function of the 2-valued propositional calculus is functionally complete (i.e., for any m, all 22m truth functions of m variables can be defined1 in terms of the stroke function). Indeed, it is not difficult to show that of the 16 2-valued functions of two variables, exactly two of them are functionally
openaire   +3 more sources

Micro/nano functional devices fabricated by additive manufacturing

Progress in Materials Science, 2023
Longqiu Li
exaly  

Functional Imaging of Cancer with Emphasis on Molecular Techniques†

Ca-A Cancer Journal for Clinicians, 2007
A Alavi
exaly  

Functional dyspepsia

Nature Reviews Disease Primers, 2017
Christine Feinle-Bisset, Paul Enck
exaly  

The M06 suite of density functionals for main group thermochemistry, thermochemical kinetics, noncovalent interactions, excited states, and transition elements: two new functionals and systematic testing of four M06-class functionals and 12 other functionals

Theoretical Chemistry Accounts, 2007
Yan Zhao, Donald Truhlar
exaly