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Definite Matrix Polynomials and their Linearization by Definite Pencils [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 2009
Hyperbolic matrix polynomials are an important class of Hermitian matrix polynomials that contain overdamped quadratics as a special case. They share with definite pencils the spectral property that their eigenvalues are real and semisimple. We extend the definition of hyperbolic matrix polynomial in a way that relaxes the requirement of definiteness ...
Nicholas Higham   +2 more
exaly   +6 more sources
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Definitely Life but not Definitively

Origins of Life and Evolution of Biospheres, 2006
Although there have been attempts at a definition of life from many disciplines, none is accepted by all as definitive. Some people believe that it is impossible to define 'life' adequately at the moment. We agree with this point of view on linguistic grounds, examining the different types of definition, the contexts in which they are used and their ...
Joan D, Oliver, Randall S, Perry
openaire   +2 more sources

On Different Definitions of Positive Definiteness

Mathematische Nachrichten, 1991
Let the function \(T^*\) be defined by \(T^*(a)=T(a^{-1})^*\) for a function \(T\) of a group \(G\) into a Hilbert space. The authors show that the commutativity of \(G\) is equivalent to each of the conditions below: (1) \(T^*\) is positive definite for every representation \(T\) of \(G\) in Hilbert space.
Friedrich, J., Klotz, L.
openaire   +1 more source

On the definition of definition

Scientific and Technical Information Processing, 2010
An attempt is undertaken to define the word "definition." The correlation of concepts, such as definition, term, discourse, and frame is discussed and a systematic definition of the term "definition" is given.
openaire   +1 more source

Alfonso Bedoya: Definitions, Definitions, and Definitions

2013
Mathematics consists of definitions, equations, and proofs, and while the last two close the sale, definitions are like “Location, location, and location” in real estate. Types and pitfalls of definitions are discussed.
Richard J. Lipton, Kenneth W. Regan
openaire   +1 more source

Mainstreaming the metabolic syndrome: a definitive definition

Medical Journal of Australia, 2005
This new definition should assist both researchers and clinicians.
Paul Z, Zimmet   +2 more
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Definition of asthma

Chest, 1987
The limitations of clinical definitions of asthma which focus on the symptoms and signs of an acute attack of asthma are discussed. Implicit in such definitions is a research interest focused on the immediate causes of an attack. This is the final expression of a whole sequence of events and to fully understand the natural history of asthma requires ...
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Definition of Definitions of Concepts

Social Forces, 1939
A PPLIED sociology consists today more largely in the application of serviceable concepts and in tested techniques of social research, than in the application of laws or principles, which are few in verified number and usually too general in statement to solve some concrete problem.
openaire   +1 more source

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